Details

analyze303.0ms (1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	74.9%	0.1%	0%	25%	0%	5
0%	0%	74.9%	0.1%	0%	25%	0%	6
0%	0%	74.9%	0.1%	0%	25%	0%	7
10%	6.2%	56.2%	0.1%	0%	37.4%	0%	8
12.8%	7.8%	53%	0.1%	1.6%	37.4%	0%	9
16.6%	9.4%	47.2%	0.1%	5.9%	37.4%	0%	10
30.6%	15.2%	34.5%	0.1%	6.4%	43.7%	0%	11
36.1%	17.6%	31.1%	0.1%	7.5%	43.7%	0%	12

Compiler

Compiled 28 to 21 computations (25% saved)

sample2.3s (7.7%)

Results

1.6s	8256×	body	256	valid
360.0ms	2025×	body	256	infinite
287.0ms	1498×	body	256	invalid

Bogosity

preprocess96.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1482×	`fma-def`
1252×	`+-commutative`
852×	`distribute-neg-in`
828×	`associate--r-`
752×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	252
1	121	252
2	306	244
3	781	236
4	2186	236
5	4947	236
6	7431	236
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 y 1/2) (log.f64 y)) y) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 x 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) y))
(+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 x 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) y)))
(+.f64 91893853320467/100000000000000 (+.f64 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (fma.f64 -1 y 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (-.f64 91893853320467/100000000000000 y)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 z 1/2) (log.f64 z)) z) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) x) 13888888888889/5000000000000000) x) 83333333333333/1000000000000000) z))
(+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (-.f64 z 1/2) (log.f64 z)) z)) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z))
(+.f64 (-.f64 (*.f64 (+.f64 z -1/2) (log.f64 z)) (+.f64 z -91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (fma.f64 -1 z 91893853320467/100000000000000)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z))
(+.f64 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z)) z))
(+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) z) z)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 z 7936500793651/10000000000000000) y) 13888888888889/5000000000000000) y) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 7936500793651/10000000000000000 z) y -13888888888889/5000000000000000) y 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1570×	`fma-def`
1230×	`associate-/l*`
1190×	`+-commutative`
872×	`distribute-neg-in`
758×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	46	63
2	102	61
3	243	59
4	636	59
5	1650	59
6	3448	59
7	5525	59
8	7188	59

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -1 x 91893853320467/100000000000000)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

eval2.0ms (0%)

Compiler: Compiled 135 to 88 computations (34.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	4	3	7

Error

6.2b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
▶	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Status

Error

Program

▶

6.2b

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

▶

6.3b

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize117.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
✓	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	5.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 112 to 73 computations (34.8% saved)

series120.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
108.0ms	x	@	0	(*.f64 (-.f64 x 1/2) (log.f64 x))
2.0ms	x	@	-inf	(*.f64 (-.f64 x 1/2) (log.f64 x))
2.0ms	x	@	inf	(*.f64 (-.f64 x 1/2) (log.f64 x))
1.0ms	z	@	inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	y	@	inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite161.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`associate-/r*`
474×	`add-sqr-sqrt`
452×	`pow1`
452×	`*-un-lft-identity`
446×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	459	90
2	6135	90

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
(*.f64 (-.f64 x 1/2) (log.f64 x))
(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 2) (.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 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13888888888889/5000000000000000)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))))))

simplify137.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1200×	`associate-+l-`
1074×	`associate-+r-`
978×	`associate-*r/`
636×	`associate--r+`
592×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	488	10047
1	1256	9317
2	5132	9317

Stop Event

1×	node limit

Counts

259 → 303

Calls

Call 1

Inputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
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(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
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(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(*.f64 -13888888888889/5000000000000000 z)
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
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(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
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(.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) (/.f64 1 x))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x) 1)
(.f64 1 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 2) (.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)))
(.f64 (/.f64 1 x) (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000))
(.f64 (-.f64 -83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) (/.f64 -1 x))
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(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) x))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (cbrt.f64 x)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) (sqrt.f64 x)))
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(+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))
(+.f64 (.f64 z (.f64 (+.f64 y 7936500793651/10000000000000000) z)) (*.f64 z -13888888888889/5000000000000000))
(+.f64 (.f64 z -13888888888889/5000000000000000) (.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))
(+.f64 (.f64 -13888888888889/5000000000000000 z) (.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z))
(-.f64 (exp.f64 (log1p.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z))) 1)
(/.f64 (.f64 z (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
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(/.f64 (/.f64 (.f64 z (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (/.f64 (.f64 z (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (.f64 z (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
(/.f64 (/.f64 (.f64 z (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) 1) (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)))))
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(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) 1) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000)))
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(pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1)
(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 2)
(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 3)
(pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) z))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z))))
(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3))
(expm1.f64 (log1p.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))
(exp.f64 (log.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 1))
(log1p.f64 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))

Outputs
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(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
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(.f64 (/.f64 z (+.f64 (pow.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 2) (fma.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 z 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000))) (+.f64 (pow.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000))
(pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1)
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(pow.f64 (sqrt.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 2)
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 3)
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(pow.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3) 1/3)
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(sqrt.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 2))
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2))
(fabs.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)) z))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 3))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(expm1.f64 (log1p.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(exp.f64 (log.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)) 1))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(log1p.f64 (expm1.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.3b	(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
✓	5.9b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 78 to 50 computations (35.9% saved)

series14.0ms (0%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
1.0ms	z	@	0	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
1.0ms	x	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
0.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
0.0ms	y	@	0	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite147.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`associate-/r*`
478×	`add-sqr-sqrt`
456×	`pow1`
456×	`*-un-lft-identity`
450×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	136
1	464	136
2	5988	136

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

Inputs
(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 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83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) 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83333333333333/1000000000000000) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (neg.f64 x) (.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 91893853320467/100000000000000 (+.f64 (.f64 (neg.f64 x) 1) (.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 91893853320467/100000000000000 x) (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 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83333333333333/1000000000000000) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))

simplify176.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1120×	`associate--l+`
1086×	`associate--r+`
808×	`fma-def`
766×	`associate-+r-`
622×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	482	14159
1	1269	13579
2	5705	13579

Stop Event

1×	node limit

Counts

267 → 323

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
83333333333333/1000000000000000
(+.f64 83333333333333/1000000000000000 (*.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 (.f64 y (pow.f64 z 2)) (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(*.f64 y (pow.f64 z 2))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (*.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))) (neg.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (*.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) 1) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (sqrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (sqrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (*.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (cbrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (cbrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (+.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (-.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)) 1) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (*.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2) (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(fma.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(fma.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 y 7936500793651/10000000000000000)))
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(fabs.f64 (+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x) 2)) (cbrt.f64 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)) (cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x) 2)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))

eval329.0ms (1.1%)

Compiler: Compiled 19572 to 12807 computations (34.6% saved)

prune204.0ms (0.7%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	594	32	626
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	596	32	628

Error

0.0b

Counts

628 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	52.0b	(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
	14.3b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
	6.3b	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
	6.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x))
	27.1b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))
	14.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
	34.1b	(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) z)))
	8.6b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000)) x))
	7.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
▶	6.1b	(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.4b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.7b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	6.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.2b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	22.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) -1))
	11.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))
	6.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 3))
	10.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	10.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	24.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	11.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) x)))
	28.2b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.3b	(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.9b	(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	51.9b	(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
	51.9b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
▶	49.6b	(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))

Compiler

Compiled 1632 to 1204 computations (26.2% saved)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
✓	0.2b	(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))
✓	3.6b	(expm1.f64 (log1p.f64 x))
	5.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 121 to 70 computations (42.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))
0.0ms	x	@	0	(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))
0.0ms	x	@	inf	(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 x))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 x))

rewrite73.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`*-commutative`
630×	`unswap-sqr`
596×	`associate-*r/`
496×	`distribute-lft-in`
482×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	247	20
2	2840	20

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x 1) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (*.f64 (+.f64 x 2) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (+.f64 (*.f64 x x) 0)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x x) 0) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 3/2) (pow.f64 (cbrt.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 3) 1/6) (pow.f64 (pow.f64 x 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x x) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (+.f64 x 2) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (*.f64 x x) 0)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 (+.f64 x 2) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (*.f64 x x) 0)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x 2) x) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x x) 0) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) 1) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 x 2) x) -1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x x) 0) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 0 (pow.f64 x 3)) -1) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x x) 0) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x x) 0) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x x) 0) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x x) 0) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (*.f64 x x) 0) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 x 1) 2) 1) (-.f64 (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x 1) 2)) (-.f64 1 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1) (+.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (+.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (-.f64 (*.f64 x (log.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (+.f64 (*.f64 (log.f64 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (-.f64 (*.f64 (log.f64 x) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x (log.f64 x))) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (log.f64 x) -1/2)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x 1) (-.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 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simplify90.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

824×	`+-commutative`
798×	`associate--l-`
522×	`distribute-lft-neg-in`
490×	`distribute-rgt-neg-in`
478×	`associate--r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	342	4576
1	853	3856
2	4647	3856

Stop Event

1×	node limit

Counts

176 → 221

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 x 0)
(+.f64 1 (-.f64 x 1))
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 (-.f64 x 1) 1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(+.f64 (*.f64 -1 (+.f64 x 1)) 1)
(+.f64 (*.f64 -1 (-.f64 x 1)) -1)
(+.f64 (*.f64 (+.f64 x 1) -1) 1)
(+.f64 (*.f64 (-.f64 x 1) -1) -1)
(+.f64 (neg.f64 (+.f64 x 1)) 1)
(+.f64 (neg.f64 (-.f64 x 1)) -1)
(-.f64 (+.f64 x 1) 1)
(-.f64 (-.f64 x 1) -1)
(-.f64 0 x)
(-.f64 (+.f64 x 2) 2)
(*.f64 x 1)
(*.f64 x -1)
(*.f64 1 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 -1 x)
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (*.f64 (+.f64 x 2) x)) (+.f64 x 2))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 (*.f64 x x) 0)) x)
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(.f64 (/.f64 (+.f64 (.f64 x x) 0) (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(*.f64 (pow.f64 (cbrt.f64 x) 3/2) (pow.f64 (cbrt.f64 x) 3/2))
(*.f64 (pow.f64 (pow.f64 x 3) 1/6) (pow.f64 (pow.f64 x 3) 1/6))
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (/.f64 (sqrt.f64 (log.f64 x)) 2)))
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (cbrt.f64 (log.f64 x)) 2)))
(*.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)) (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) 2)))
(/.f64 x 1)
(/.f64 x -1)
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (+.f64 (*.f64 x x) 0) x)
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 0 (pow.f64 x 3)) (+.f64 (*.f64 x x) 0))
(/.f64 (.f64 1 (.f64 (+.f64 x 2) x)) (+.f64 x 2))
(/.f64 (.f64 1 (+.f64 (.f64 x x) 0)) x)
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (.f64 1 (+.f64 0 (pow.f64 x 3))) (+.f64 (.f64 x x) 0))
(/.f64 (.f64 -1 (.f64 (+.f64 x 2) x)) (+.f64 x 2))
(/.f64 (.f64 -1 (+.f64 (.f64 x x) 0)) x)
(/.f64 (*.f64 -1 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (.f64 -1 (+.f64 0 (pow.f64 x 3))) (+.f64 (.f64 x x) 0))
(/.f64 (.f64 (.f64 (+.f64 x 2) x) 1) (+.f64 x 2))
(/.f64 (.f64 (+.f64 (.f64 x x) 0) 1) x)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (.f64 (+.f64 0 (pow.f64 x 3)) 1) (+.f64 (.f64 x x) 0))
(/.f64 (.f64 (.f64 (+.f64 x 2) x) -1) (+.f64 x 2))
(/.f64 (.f64 (+.f64 (.f64 x x) 0) -1) x)
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (.f64 (+.f64 0 (pow.f64 x 3)) -1) (+.f64 (.f64 x x) 0))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) 1) x)
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (+.f64 (*.f64 x x) 0) -1) x)
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (+.f64 x 2))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) 0)) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) 3) 1)) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 0 (pow.f64 x 3))) (+.f64 (*.f64 x x) 0))
(/.f64 (-.f64 (pow.f64 (-.f64 x 1) 2) 1) (-.f64 (-.f64 x 1) 1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x 1) 2)) (-.f64 1 (-.f64 x 1)))
(pow.f64 x 1)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 1) (log.f64 x))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 1 (expm1.f64 x)))
(cbrt.f64 (pow.f64 x 3))
(exp.f64 (log.f64 x))
(log1p.f64 (expm1.f64 x))
(+.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))
(+.f64 (+.f64 x 1) (+.f64 -1 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(+.f64 (-.f64 x 1) (+.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(+.f64 0 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))
(+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) x)
(+.f64 (.f64 (log.f64 x) -1/2) (+.f64 (.f64 x (log.f64 x)) x))
(+.f64 (.f64 (log.f64 x) -1/2) (-.f64 (.f64 x (log.f64 x)) x))
(+.f64 (.f64 x (log.f64 x)) (+.f64 (.f64 (log.f64 x) -1/2) x))
(+.f64 (.f64 x (log.f64 x)) (-.f64 (.f64 (log.f64 x) -1/2) x))
(+.f64 (+.f64 x (.f64 x (log.f64 x))) (.f64 (log.f64 x) -1/2))
(+.f64 (+.f64 x (.f64 (log.f64 x) -1/2)) (.f64 x (log.f64 x)))
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) -1)
(+.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 x 1)) 1)
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) 1)
(+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 0) x)
(+.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (+.f64 x 1)) 1)
(+.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) 0) x)
(-.f64 (+.f64 x 1) (-.f64 1 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(-.f64 0 (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2))))
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) 1)
(-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) x)
(-.f64 (+.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) 1)
(-.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (+.f64 x 1)) -1)
(-.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) 0) x)
(-.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) (-.f64 x 1)) 1)
(-.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (+.f64 x 1)) -1)
(-.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) 0) x)
(-.f64 (-.f64 (+.f64 0 (*.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 x 1)) 1)
(*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 1)
(*.f64 1 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2)) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3))) (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (.f64 x (.f64 (log.f64 x) (+.f64 x -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))) (*.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (sqrt.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))) (sqrt.f64 x)))
(.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (sqrt.f64 x)) (-.f64 (*.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3) 1/6))
(/.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 1)
(/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3)) (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3))) (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (.f64 x (.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3)) 1) (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (.f64 x (.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) 1) (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2))))
(pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 3)
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2))
(log.f64 (exp.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))))
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(-.f64 (*.f64 x (log.f64 x)) x)
(fma.f64 x (log.f64 x) (neg.f64 x))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (neg.f64 x))
(*.f64 (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 x))) (neg.f64 x))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 (neg.f64 x) (-.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (.f64 -1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (.f64 x (+.f64 (-.f64 1 (log.f64 -1)) (log.f64 (/.f64 -1 x)))))
(+.f64 x 0)
x
(+.f64 1 (-.f64 x 1))
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 (+.f64 x 1) -1)
x
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(/.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(/.f64 (pow.f64 (-.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) x) 2) (-.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) x))
(/.f64 (pow.f64 (-.f64 (.f64 (log.f64 x) (-.f64 x 1/2)) x) 2) (-.f64 (.f64 (log.f64 x) (-.f64 x 1/2)) x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (log.f64 x) (-.f64 x 1/2)) 2)) (-.f64 x (*.f64 (log.f64 x) (-.f64 x 1/2))))
(pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 1)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(pow.f64 (sqrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 2)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(pow.f64 (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) 3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(pow.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x) 2))
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x))
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x))
(log.f64 (exp.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 3))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(expm1.f64 (log1p.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(exp.f64 (log.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)
(log1p.f64 (expm1.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(-.f64 (*.f64 (log.f64 x) (-.f64 x 1/2)) x)
(-.f64 (*.f64 (log.f64 x) (+.f64 x -1/2)) x)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
✓	0.1b	(/.f64 7936500793651/10000000000000000 x)
✓	0.9b	(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
✓	2.7b	(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))

Compiler

Compiled 40 to 19 computations (52.5% saved)

series8.0ms (0%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
1.0ms	x	@	-inf	(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
1.0ms	x	@	0	(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
1.0ms	x	@	inf	(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
0.0ms	x	@	0	(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))

rewrite133.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`associate-/r*`
878×	`distribute-lft-in`
844×	`associate-/l*`
526×	`associate-/r/`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	82
1	251	82
2	3709	82

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

Inputs
(*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 7936500793651/10000000000000000 x)
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))

Outputs
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simplify180.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-r`
1010×	`associate-l`
1002×	`associate-/l*`
752×	`associate-/l/`
690×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	15682
1	2005	14688

Stop Event

1×	node limit

Counts

362 → 445

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 y z) x)
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 y z) x)
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x)) (/.f64 (.f64 y z) x))
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) x)
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) z) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) z) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) z) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) z) x))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
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(pow.f64 (sqrt.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) 2)
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) 3)
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(pow.f64 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) 3) 1/3)
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) 3))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(exp.f64 (log.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) 1))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 y (/.f64 1 x) (/.f64 7936500793651/10000000000000000 x))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 7936500793651/10000000000000000 (/.f64 1 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 1 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 1 (/.f64 7936500793651/10000000000000000 x) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 (sqrt.f64 (/.f64 7936500793651/10000000000000000 x)) (sqrt.f64 (/.f64 7936500793651/10000000000000000 x)) (/.f64 y x))
(+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))
(/.f64 (*.f64 1 (+.f64 y 7936500793651/10000000000000000)) x)
(fma.f64 (sqrt.f64 (/.f64 y x)) (sqrt.f64 (/.f64 y x)) (/.f64 7936500793651/10000000000000000 x))
(fma.f64 (cbrt.f64 (/.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 7936500793651/10000000000000000 x)) (/.f64 y x))
(fma.f64 (cbrt.f64 (/.f64 (/.f64 62988044847622952881909801/100000000000000000000000000000000 x) x)) (cbrt.f64 (/.f64 7936500793651/10000000000000000 x)) (/.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y x)) 2) (cbrt.f64 (/.f64 y x)) (/.f64 7936500793651/10000000000000000 x))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
✓	0.4b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 78 to 45 computations (42.3% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms	z	@	0	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms	x	@	0	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms	x	@	inf	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
0.0ms	z	@	-inf	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

rewrite126.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1920×	`add-sqr-sqrt`
1882×	`*-un-lft-identity`
1772×	`add-cube-cbrt`
1754×	`add-cbrt-cube`
182×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2362	20

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -13888888888889/5000000000000000) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))))))

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1592×	`associate-+r+`
1388×	`associate-+l+`
718×	`associate-*r/`
604×	`unswap-sqr`
492×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	460
1	230	460
2	948	454
3	4617	454

Stop Event

1×	node limit

Counts

44 → 51

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 1)
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 -13888888888889/5000000000000000) (/.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(exp.f64 (.f64 (log.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x))) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 1 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 -83333333333333/1000000000000000 (/.f64 1 (neg.f64 x)))
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3) 1/3)
(/.f64 83333333333333/1000000000000000 x)
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
(/.f64 83333333333333/1000000000000000 x)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(sqrt.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) x))
(sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))
(log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))
(/.f64 83333333333333/1000000000000000 x)
(cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))
(/.f64 83333333333333/1000000000000000 x)
(expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (*.f64 (log.f64 (/.f64 83333333333333/1000000000000000 x)) 1))
(/.f64 83333333333333/1000000000000000 x)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 1 (/.f64 x (*.f64 -13888888888889/5000000000000000 z)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 z) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) 1) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (/.f64 (*.f64 -13888888888889/5000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 (neg.f64 (*.f64 -13888888888889/5000000000000000 z)) (neg.f64 x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 1)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(pow.f64 (sqrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 2)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(pow.f64 (cbrt.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))) 3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(pow.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3) 1/3)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 z x) 2) 192901234567904320987654321/25000000000000000000000000000000))
(fabs.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(fabs.f64 (*.f64 z (/.f64 -13888888888889/5000000000000000 x)))
(log.f64 (pow.f64 (exp.f64 -13888888888889/5000000000000000) (/.f64 z x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(cbrt.f64 (pow.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x)) 3))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(expm1.f64 (log1p.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(exp.f64 (log.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(exp.f64 (.f64 (log.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x))) 1))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(log1p.f64 (expm1.f64 (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)
✓	0.2b	(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
	5.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
✓	18.8b	(/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))

Compiler

Compiled 145 to 93 computations (35.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
1.0ms	x	@	0	(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
0.0ms	x	@	inf	(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
0.0ms	x	@	-inf	(-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)
0.0ms	x	@	inf	(/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))

rewrite201.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`associate-/r/`
1008×	`distribute-rgt-in`
966×	`distribute-lft-in`
822×	`associate-/l/`
302×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	89
1	289	53
2	4075	53

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))
(/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
(-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2) (*.f64 (/.f64 1 (fma.f64 x x -1/4)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 1 (fma.f64 x x -1/4))) (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))) (*.f64 x (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1/2) (/.f64 1 (fma.f64 x x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1/2)) (*.f64 (sqrt.f64 (+.f64 x 1/2)) (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) (/.f64 1 (sqrt.f64 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (+.f64 x 1/2)) (/.f64 1 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1/2))) 2) (/.f64 1 (cbrt.f64 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1/2 x) (/.f64 1 (-.f64 1/4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1/4))) (/.f64 (+.f64 x 1/2) (sqrt.f64 (fma.f64 x x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 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(fma.f64 x x -1/4))))))))

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simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

910×	`*-commutative`
862×	`associate-r`
820×	`associate-l`
636×	`associate-*l/`
620×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	14105
1	2397	13639

Stop Event

1×	node limit

Counts

311 → 423

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 -4 x) 2)
(-.f64 (+.f64 (.f64 -4 x) (.f64 -8 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -4 x) (+.f64 (.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2)
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/4)) x) (.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2))
(+.f64 (.f64 (/.f64 1 (fma.f64 x x -1/4)) 1/2) (.f64 (/.f64 1 (fma.f64 x x -1/4)) x))
(+.f64 (.f64 x (/.f64 1 (fma.f64 x x -1/4))) (.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))))
(+.f64 (.f64 1/2 (/.f64 1 (fma.f64 x x -1/4))) (.f64 x (/.f64 1 (fma.f64 x x -1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) 1)
(*.f64 (+.f64 x 1/2) (/.f64 1 (fma.f64 x x -1/4)))
(*.f64 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)) 1)
(*.f64 1 (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))
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(.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) 3) (pow.f64 (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) 3))) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2)) (-.f64 (.f64 (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x x)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) 3) (pow.f64 (.f64 x x) 3)) (.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 1 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (sqrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) 2) (cbrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (neg.f64 x))
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))

Outputs
-2
(-.f64 (*.f64 -4 x) 2)
(fma.f64 -4 x -2)
(-.f64 (+.f64 (.f64 -4 x) (.f64 -8 (pow.f64 x 2))) 2)
(+.f64 (fma.f64 -4 x (.f64 -8 (.f64 x x))) -2)
(+.f64 (.f64 x (.f64 x -8)) (fma.f64 -4 x -2))
(-.f64 (+.f64 (.f64 -4 x) (+.f64 (.f64 -16 (pow.f64 x 3)) (*.f64 -8 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -4 x (fma.f64 -16 (pow.f64 x 3) (.f64 -8 (.f64 x x)))) -2)
(+.f64 (fma.f64 -16 (pow.f64 x 3) (.f64 x (.f64 x -8))) (fma.f64 -4 x -2))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/8 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 4))) (/.f64 1 x))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/8 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) (/.f64 1/8 (pow.f64 x 4))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 x -1/2))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 x -1/2))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 -1 (.f64 (+.f64 1 (.f64 -1 (log.f64 x))) x)))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(*.f64 x (fma.f64 -1 (neg.f64 (log.f64 x)) -1))
(*.f64 x (+.f64 (log.f64 x) -1))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(*.f64 x (neg.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (neg.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (neg.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 (neg.f64 x) (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 x (neg.f64 (+.f64 1 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
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(/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))
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(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3))) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))))
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(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 4) (pow.f64 x 4)) (.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 4) (pow.f64 x 4)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (+.f64 (.f64 x x) (pow.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (+.f64 (.f64 x x) (.f64 x (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x))) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 6) (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 3) (pow.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))) (+.f64 (pow.f64 x 6) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3)) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) 3) (pow.f64 (.f64 x x) 3)) (.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) 3) (pow.f64 x 6)) (.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 4) (+.f64 (pow.f64 x 4) (.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 6) (pow.f64 x 6)) (fma.f64 (log.f64 x) (+.f64 x -1/2) x)) (+.f64 (.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2)) (+.f64 (pow.f64 x 4) (pow.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (.f64 x x))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2)) (.f64 x x)) (neg.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (neg.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) 2) (*.f64 x (fma.f64 (log.f64 x) (+.f64 x -1/2) x)))))
(pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 1)
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 2)
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 3)
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(pow.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 3) 1/3)
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x) 2))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x)) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x))))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 3))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(exp.f64 (log.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)) 1))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x)))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 -1/2 (log.f64 x) (neg.f64 (*.f64 x (+.f64 1 (neg.f64 (log.f64 x))))))
(fma.f64 1 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (sqrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) 2) (cbrt.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4)))) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(fma.f64 (/.f64 (log.f64 x) (+.f64 x 1/2)) (fma.f64 x x -1/4) (neg.f64 x))
(-.f64 (*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2))) x)

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2)
	5.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 138 to 93 computations (32.6% saved)

series7.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2)

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`add-sqr-sqrt`
1950×	`*-un-lft-identity`
1824×	`add-cube-cbrt`
1806×	`add-cbrt-cube`
198×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	231	17
2	2480	17

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x 1/2) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (-.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 x 1/2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (*.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1/2)) (*.f64 (sqrt.f64 (-.f64 x 1/2)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x 1/2)) (*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (-.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2) (*.f64 (cbrt.f64 (-.f64 x 1/2)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (-.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4)) (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 x 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (-.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2)) (cbrt.f64 (-.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (-.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1))))))

simplify60.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1860×	`associate-*r/`
1234×	`associate-r`
1164×	`associate-/l*`
1106×	`associate-+r+`
1104×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	121	1460
1	286	946
2	837	946
3	4106	946

Stop Event

1×	node limit

Counts

40 → 57

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(+.f64 (.f64 (log.f64 x) x) (.f64 (log.f64 x) -1/2))
(+.f64 (.f64 x (log.f64 x)) (.f64 -1/2 (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))) 1)
(*.f64 (-.f64 x 1/2) (log.f64 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1)
(.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(.f64 1 (.f64 (-.f64 x 1/2) (log.f64 x)))
(.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (sqrt.f64 (-.f64 x 1/2)) (.f64 (sqrt.f64 (-.f64 x 1/2)) (log.f64 x)))
(.f64 (sqrt.f64 (-.f64 x 1/2)) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (-.f64 x 1/2)))
(.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2) (.f64 (cbrt.f64 (-.f64 x 1/2)) (log.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (-.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4)) (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4))
(.f64 (.f64 (-.f64 x 1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 (-.f64 x 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(.f64 (.f64 (log.f64 x) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (-.f64 x 1/2)))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2)) (cbrt.f64 (-.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (.f64 (log.f64 x) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 2))
(log.f64 (pow.f64 x (-.f64 x 1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(exp.f64 (log.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1))

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (log.f64 x) -1/2))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 x (log.f64 x)) (.f64 -1/2 (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))) 1)
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (-.f64 x 1/2) (log.f64 x))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1)
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 1 (.f64 (-.f64 x 1/2) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (sqrt.f64 (-.f64 x 1/2)) (.f64 (sqrt.f64 (-.f64 x 1/2)) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (sqrt.f64 (-.f64 x 1/2)) (.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (*.f64 (sqrt.f64 (-.f64 x 1/2)) (sqrt.f64 (log.f64 x))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (sqrt.f64 (+.f64 -1/2 x)) (sqrt.f64 (log.f64 x))))
(.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (-.f64 x 1/2)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (.f64 (cbrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 (cbrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2) (.f64 (cbrt.f64 (-.f64 x 1/2)) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (-.f64 x 1/2)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 1/4)) (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 1/4))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (-.f64 x 1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (-.f64 x 1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (log.f64 x) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (-.f64 x 1/2)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (-.f64 x 1/2)) 2)) (cbrt.f64 (-.f64 x 1/2)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (-.f64 x 1/2))) (sqrt.f64 (log.f64 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (log.f64 x))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (*.f64 (sqrt.f64 (-.f64 x 1/2)) (sqrt.f64 (log.f64 x))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (*.f64 (sqrt.f64 (+.f64 -1/2 x)) (sqrt.f64 (log.f64 x))))
(.f64 (.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)))))
(.f64 (.f64 (cbrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))))) (sqrt.f64 (*.f64 (log.f64 x) (+.f64 x -1/2))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (.f64 (cbrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))))
(.f64 (cbrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (.f64 (sqrt.f64 (.f64 (log.f64 x) (-.f64 x 1/2))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (-.f64 x 1/2))))))
(.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (.f64 (cbrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))))))
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2)))
(/.f64 (.f64 (log.f64 x) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (log.f64 x) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 -1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 -1/8 (pow.f64 x 3)))
(*.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (log.f64 x) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(*.f64 (log.f64 x) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (fma.f64 x x -1/4) (/.f64 (log.f64 x) (+.f64 x 1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))
(/.f64 (log.f64 x) (/.f64 (fma.f64 x x (+.f64 1/4 (*.f64 x 1/2))) (+.f64 -1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x x (fma.f64 x 1/2 1/4))) (+.f64 -1/8 (pow.f64 x 3)))
(*.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (log.f64 x) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(*.f64 (log.f64 x) (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (fma.f64 x x (fma.f64 x 1/2 1/4))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 2))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(log.f64 (pow.f64 x (-.f64 x 1/2)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) 3))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 1))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(log1p.f64 (-.f64 (pow.f64 x (-.f64 x 1/2)) 1))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (-.f64 x 1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))

eval1.2s (4.1%)

Compiler: Compiled 55952 to 35266 computations (37% saved)

prune999.0ms (3.4%)

Pruning

57 alts after pruning (57 fresh and 0 done)

	Pruned	Kept	Total
New	1709	46	1755
Fresh	16	11	27
Picked	1	0	1
Done	4	0	4
Total	1730	57	1787

Error

Counts

1787 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	52.0b	(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
	52.6b	(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
	58.3b	(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
	51.9b	(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
▶	51.4b	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
	14.3b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
	6.3b	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
▶	6.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x))
	14.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
	8.6b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000)) x))
	7.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
	14.1b	(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.4b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.7b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	32.5b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	29.4b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.3b	(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	24.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	21.5b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (sqrt.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	14.9b	(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	6.9b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	36.1b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	51.5b	(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
	49.3b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
	56.2b	(.f64 (/.f64 y x) (.f64 z z))
	51.9b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	55.1b	(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
	57.0b	(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
	56.0b	(.f64 z (/.f64 (.f64 y z) x))
▶	49.6b	(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
	55.2b	(*.f64 z (/.f64 y (/.f64 x z)))
	49.6b	(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
	51.9b	(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
	51.9b	(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
	50.4b	(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
	57.8b	(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
	57.8b	(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
	53.1b	(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
	53.1b	(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
	53.9b	(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
	53.8b	(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
	55.5b	(.f64 z (.f64 z (/.f64 y x)))
	49.6b	(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
	57.0b	(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
	49.6b	(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
	55.2b	(.f64 z (.f64 y (/.f64 z x)))
▶	57.0b	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
	58.4b	(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))

Compiler

Compiled 2342 to 1622 computations (30.7% saved)

localize69.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (+.f64 y 7936500793651/10000000000000000))
✓	0.2b	(.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)
	0.3b	(fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))
✓	5.9b	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)

Compiler

Compiled 108 to 70 computations (35.2% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)
1.0ms	x	@	0	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)
0.0ms	y	@	inf	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)
0.0ms	y	@	0	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)
0.0ms	y	@	-inf	(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-/r*`
826×	`associate-/l*`
474×	`associate-/r/`
390×	`associate-+l+`
360×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	345	67
2	4787	67

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs

(/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x)

(*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) z)

(*.f64 z (+.f64 y 7936500793651/10000000000000000))

Outputs

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simplify113.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/l*`
1474×	`associate-*r/`
1144×	`associate-*l/`
718×	`associate-/r*`
454×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	320	6030
1	895	5618
2	3770	5618

Stop Event

1×	node limit

Counts

184 → 186

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 7936500793651/10000000000000000 (pow.f64 z 2)) (.f64 -13888888888889/5000000000000000 z))) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))) x)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(*.f64 7936500793651/10000000000000000 (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 y (pow.f64 z 2))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 7936500793651/10000000000000000 (pow.f64 z 2)))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
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(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 2))
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(fma.f64 z y (*.f64 z 7936500793651/10000000000000000))
(fma.f64 y z (*.f64 z 7936500793651/10000000000000000))

Outputs
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(/.f64 (+.f64 (pow.f64 (.f64 z y) 3) (.f64 (pow.f64 z 3) 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000)) (-.f64 (fma.f64 (.f64 z y) (.f64 z y) (.f64 (.f64 z z) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 z (.f64 y (*.f64 z 7936500793651/10000000000000000)))))
(/.f64 (.f64 (pow.f64 z 3) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (-.f64 (.f64 (.f64 z z) (+.f64 (.f64 y y) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 z (.f64 (*.f64 z y) 7936500793651/10000000000000000))))
(/.f64 (.f64 (pow.f64 z 3) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (+.f64 (.f64 (.f64 z z) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y y))) (.f64 (.f64 z y) (*.f64 z -7936500793651/10000000000000000))))
(/.f64 (/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) 1) (+.f64 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000))) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000)))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (.f64 (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)) (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)))) (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) 1) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(/.f64 (/.f64 (.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000))))) (sqrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(/.f64 (/.f64 (.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (.f64 (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))))) (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(/.f64 (/.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) 1) (+.f64 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000))) (sqrt.f64 (+.f64 y -7936500793651/10000000000000000)))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) (.f64 (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)) (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)))) (cbrt.f64 (+.f64 y -7936500793651/10000000000000000)))
(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
(*.f64 z (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (/.f64 (.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) z) 1) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(/.f64 (/.f64 (.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) z) (sqrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000))))) (sqrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(/.f64 (/.f64 (.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) z) (.f64 (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))))) (cbrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000)))) z)
(.f64 z (/.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))))
(pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 1)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 2)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 3)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(pow.f64 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3) 1/3)
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 2))
(fabs.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y 7936500793651/10000000000000000)) z))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) 3))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (+.f64 y 7936500793651/10000000000000000) 3)))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y 7936500793651/10000000000000000) 3) (pow.f64 z 3)))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(exp.f64 (log.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000))) 1))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(fma.f64 z y (*.f64 z 7936500793651/10000000000000000))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))
(fma.f64 y z (*.f64 z 7936500793651/10000000000000000))
(*.f64 z (+.f64 y 7936500793651/10000000000000000))

localize12.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
✓	0.2b	(*.f64 7936500793651/10000000000000000 (/.f64 z x))

Compiler

Compiled 21 to 10 computations (52.4% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
0.0ms	x	@	0	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
0.0ms	z	@	0	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
0.0ms	z	@	inf	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
0.0ms	z	@	inf	(*.f64 7936500793651/10000000000000000 (/.f64 z x))

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`add-sqr-sqrt`
1730×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	169	32
2	2166	32

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 7936500793651/10000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 7936500793651/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7936500793651/10000000000000000 z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7936500793651/10000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) 7936500793651/10000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 7936500793651/10000000000000000 (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))))))

simplify72.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-*r/`
938×	`associate-+r-`
888×	`associate-*l/`
736×	`associate-/l*`
660×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1084
1	237	1084
2	1117	1084
3	7209	1084

Stop Event

1×	node limit

Counts

64 → 46

Calls

Call 1

Inputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1)
(/.f64 7936500793651/10000000000000000 (/.f64 x z))
(/.f64 1 (/.f64 x (*.f64 7936500793651/10000000000000000 z)))
(/.f64 (*.f64 7936500793651/10000000000000000 z) x)
(/.f64 (*.f64 7936500793651/10000000000000000 (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) 7936500793651/10000000000000000) (neg.f64 x))
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) 1) x)
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 z)) (neg.f64 x))
(pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) 7936500793651/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(exp.f64 (.f64 (log.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))))) 1)
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) 1) (/.f64 x z))
(/.f64 (.f64 z (.f64 7936500793651/10000000000000000 z)) x)
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) (neg.f64 z)) (neg.f64 x))
(pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 1)
(pow.f64 (sqrt.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))) 2)
(pow.f64 (cbrt.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))) 3)
(pow.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 2))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))))))
(cbrt.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 3))
(expm1.f64 (log1p.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(exp.f64 (log.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1))
(log1p.f64 (expm1.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))

Outputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 7936500793651/10000000000000000 (/.f64 x z))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 1 (/.f64 x (*.f64 7936500793651/10000000000000000 z)))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (*.f64 7936500793651/10000000000000000 z) x)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (*.f64 7936500793651/10000000000000000 (neg.f64 z)) (neg.f64 x))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (*.f64 (neg.f64 z) 7936500793651/10000000000000000) (neg.f64 x))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) 1) x)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (/.f64 (*.f64 7936500793651/10000000000000000 z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(/.f64 (neg.f64 (*.f64 7936500793651/10000000000000000 z)) (neg.f64 x))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 1)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(pow.f64 (sqrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 2)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(pow.f64 (cbrt.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))) 3)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(pow.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3) 1/3)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(sqrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 2))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) 7936500793651/10000000000000000))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(cbrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x)) 3))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(expm1.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(exp.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 7936500793651/10000000000000000 (/.f64 z x))) 1))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(log1p.f64 (expm1.f64 (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x 7936500793651/10000000000000000))
(-.f64 (exp.f64 (log1p.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))))) 1)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) 1) (/.f64 x z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(/.f64 (.f64 z (.f64 7936500793651/10000000000000000 z)) x)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) (neg.f64 z)) (neg.f64 x))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 1)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(pow.f64 (sqrt.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))) 2)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(pow.f64 (cbrt.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))) 3)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(pow.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 3) 1/3)
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(sqrt.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 2))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 7936500793651/10000000000000000 (/.f64 z x))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(cbrt.f64 (pow.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) 3))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(expm1.f64 (log1p.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(exp.f64 (log.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 7936500793651/10000000000000000 (/.f64 z x)))) 1))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(log1p.f64 (expm1.f64 (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 7936500793651/10000000000000000 x)
✓	0.6b	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
✓	0.9b	(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
✓	2.3b	(/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))

Compiler

Compiled 54 to 29 computations (46.3% saved)

series4.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
0.0ms	y	@	0	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
0.0ms	x	@	0	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
0.0ms	y	@	inf	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
0.0ms	y	@	-inf	(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))

rewrite158.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1730×	`associate-/l*`
1210×	`associate-/r/`
788×	`distribute-lft-in`
514×	`associate-/l/`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	93
1	292	81
2	4219	81

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

(/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))

(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))

(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))

Outputs

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simplify185.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1368×	`associate-r`
1030×	`*-commutative`
872×	`associate-l`
662×	`associate-*l/`
632×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	11440
1	2047	10764

Stop Event

1×	node limit

Counts

292 → 333

Calls

Call 1

Inputs
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(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) z)
(*.f64 7936500793651/10000000000000000 (/.f64 z x))
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(/.f64 (*.f64 y z) x)
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(/.f64 x (+.f64 7936500793651/10000000000000000 y))
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(.f64 -1 (/.f64 x (-.f64 (.f64 -1 y) 7936500793651/10000000000000000)))
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(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) 3)))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x))) 3))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) -2))
(fabs.f64 (/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x))))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) 3)))
(cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) -1))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))) 1))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))
(/.f64 -1 (-.f64 (/.f64 -7936500793651/10000000000000000 x) (/.f64 y x)))

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.9b	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
✓	8.0b	(/.f64 x (*.f64 z z))

Compiler

Compiled 36 to 19 computations (47.2% saved)

series6.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
1.0ms	z	@	0	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
1.0ms	y	@	0	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
1.0ms	y	@	-inf	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
1.0ms	y	@	inf	(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))

rewrite117.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`associate-*l/`
862×	`associate-/r/`
614×	`associate-/l/`
452×	`distribute-rgt-in`
420×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	294	40
2	4023	40

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(/.f64 x (*.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))))))))

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1750×	`distribute-lft-in`
1734×	`distribute-rgt-in`
680×	`associate-r`
586×	`*-commutative`
482×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	6744
1	1056	4910
2	4602	4910

Stop Event

1×	node limit

Counts

204 → 211

Calls

Call 1

Inputs
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(/.f64 x (pow.f64 z 2))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(.f64 -1 (/.f64 (.f64 (-.f64 (*.f64 -1 y) 7936500793651/10000000000000000) (pow.f64 z 2)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 z z)))) 1)
(*.f64 x (pow.f64 z -2))
(.f64 (/.f64 x (.f64 z z)) 1)
(.f64 -1 (.f64 x (neg.f64 (pow.f64 z -2))))
(.f64 1 (/.f64 x (.f64 z z)))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) z))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 z -2)))
(.f64 (cbrt.f64 (/.f64 x (.f64 z z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 z z))) 2) (cbrt.f64 (/.f64 x (*.f64 z z))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 z -2)))
(*.f64 (/.f64 x z) (/.f64 1 z))
(*.f64 (pow.f64 z -2) x)
(.f64 (neg.f64 x) (/.f64 1 (.f64 z (neg.f64 z))))
(*.f64 (/.f64 1 z) (/.f64 x z))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 x (pow.f64 (cbrt.f64 z) 2)))
(.f64 (/.f64 1 (.f64 z (neg.f64 z))) (neg.f64 x))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (.f64 z z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (.f64 z z)))
(.f64 (/.f64 (sqrt.f64 x) (.f64 z z)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 z 4))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (/.f64 x (.f64 z z))))
(.f64 (/.f64 1 (/.f64 (.f64 z z) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 1 (/.f64 (.f64 z z) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(*.f64 (/.f64 1 (/.f64 1 x)) (pow.f64 z -2))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (.f64 z z))) 2))) (cbrt.f64 (/.f64 x (*.f64 z z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 z z)) (cbrt.f64 x))
(pow.f64 (/.f64 x (*.f64 z z)) 1)
(pow.f64 (/.f64 (sqrt.f64 x) z) 2)
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z z))) 3)
(pow.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z x) z) -1)
(neg.f64 (*.f64 x (neg.f64 (pow.f64 z -2))))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (*.f64 z z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z z)) 3))
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(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) z)) 2))) (cbrt.f64 (*.f64 z (neg.f64 z))))
(.f64 (/.f64 (-.f64 -7936500793651/10000000000000000 y) (.f64 (pow.f64 (cbrt.f64 (.f64 x (pow.f64 z -2))) 2) (cbrt.f64 (neg.f64 x)))) (cbrt.f64 (.f64 z (neg.f64 z))))
(.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (pow.f64 (cbrt.f64 (/.f64 x (.f64 z z))) 2)) (cbrt.f64 (/.f64 x z))) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) z)) 2)) (cbrt.f64 (/.f64 x z))))
(/.f64 (/.f64 (.f64 (cbrt.f64 z) (-.f64 -7936500793651/10000000000000000 y)) (pow.f64 (cbrt.f64 (.f64 x (pow.f64 z -2))) 2)) (cbrt.f64 (/.f64 x z)))
(.f64 (cbrt.f64 z) (/.f64 (-.f64 -7936500793651/10000000000000000 y) (.f64 (pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z -2))) 2) (cbrt.f64 (/.f64 x z)))))
(pow.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))) 1)
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x)) z) 2)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))) 3)
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))) 3) 1/3)
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(pow.f64 (/.f64 x (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (pow.f64 z -2))) -1)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(neg.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) x) (.f64 z z)) 2))
(fabs.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2))))
(fabs.f64 (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (*.f64 (/.f64 z x) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))))))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z))) 3))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (.f64 z z)))) 1))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))))
(+.f64 (/.f64 y (/.f64 (/.f64 x z) z)) (.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000)))
(/.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 x (pow.f64 z -2)))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
✓	0.2b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Compiler

Compiled 88 to 54 computations (38.6% saved)

series10.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	0	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
0.0ms	x	@	-inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)
0.0ms	x	@	inf	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

rewrite64.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`add-sqr-sqrt`
1256×	`*-un-lft-identity`
1186×	`add-cube-cbrt`
1176×	`add-cbrt-cube`
1164×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	7
2	1639	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 x 1000000000000000/83333333333333))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 x) 1000000000000000/83333333333333)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 83333333333333/1000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) 2)) (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))))))

simplify130.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1612×	`associate-+r-`
1112×	`unswap-sqr`
1064×	`associate-/r*`
884×	`associate-/l/`
450×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	271
1	113	265
2	320	265
3	1532	265
4	6869	265

Stop Event

1×	node limit

Counts

35 → 25

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (+.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 1)
(.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) 1)
(.f64 1 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(.f64 (sqrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(.f64 (pow.f64 (sqrt.f64 (.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))
(/.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))
(/.f64 1 (*.f64 x 1000000000000000/83333333333333))
(/.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))
(/.f64 (sqrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (.f64 x 1000000000000000/83333333333333)))
(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) 2)) (cbrt.f64 (.f64 x 1000000000000000/83333333333333)))
(sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))
(log.f64 (exp.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))

Outputs
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(-.f64 (+.f64 1 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 1)
(/.f64 83333333333333/1000000000000000 x)
(.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) 1)
(/.f64 83333333333333/1000000000000000 x)
(.f64 1 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(/.f64 83333333333333/1000000000000000 x)
(.f64 (sqrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)
(.f64 (cbrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)) 2))
(/.f64 83333333333333/1000000000000000 x)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) 2) (cbrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)
(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
(/.f64 83333333333333/1000000000000000 x)
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.f64 83333333333333/1000000000000000 x)
(.f64 (pow.f64 (sqrt.f64 (.f64 x 1000000000000000/83333333333333)) -1) (pow.f64 (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))
(/.f64 83333333333333/1000000000000000 x)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x 1000000000000000/83333333333333)) -1))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -1 (neg.f64 (*.f64 x 1000000000000000/83333333333333)))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 1 (*.f64 x 1000000000000000/83333333333333))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 1 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (sqrt.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1)) (sqrt.f64 (.f64 x 1000000000000000/83333333333333)))
(/.f64 (sqrt.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333))) (sqrt.f64 (.f64 x 1000000000000000/83333333333333)))
(/.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (*.f64 x 1000000000000000/83333333333333)))
(/.f64 (/.f64 1 x) 1000000000000000/83333333333333)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x 1000000000000000/83333333333333)) 2)) (cbrt.f64 (.f64 x 1000000000000000/83333333333333)))
(/.f64 83333333333333/1000000000000000 x)
(sqrt.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -2))
(/.f64 83333333333333/1000000000000000 x)
(log.f64 (exp.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1) 3))
(/.f64 83333333333333/1000000000000000 x)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)
(exp.f64 (log.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)))
(/.f64 83333333333333/1000000000000000 x)

eval713.0ms (2.4%)

Compiler: Compiled 27994 to 17019 computations (39.2% saved)

prune380.0ms (1.3%)

Pruning

79 alts after pruning (77 fresh and 2 done)

	Pruned	Kept	Total
New	1081	33	1114
Fresh	8	44	52
Picked	1	0	1
Done	2	2	4
Total	1092	79	1171

Error

Counts

1171 → 79

Alt Table

Click to see full alt table

Status	Error	Program
	52.0b	(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
	52.0b	(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
	52.6b	(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
	58.3b	(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
	58.3b	(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
	51.9b	(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
	57.0b	(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
	62.9b	(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
	49.6b	(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
	49.6b	(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
	54.9b	(/.f64 y (/.f64 (/.f64 x z) z))
	55.7b	(/.f64 y (*.f64 x (pow.f64 z -2)))
	49.7b	(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
	49.7b	(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
	14.3b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
▶	6.3b	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
	14.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
	17.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))
	7.1b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
	14.1b	(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.4b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.7b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	32.5b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	29.4b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.3b	(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	20.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	24.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	14.9b	(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	36.1b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.9b	(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
	63.0b	(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
	63.0b	(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
	51.5b	(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
▶	49.3b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
	57.0b	(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
	56.2b	(.f64 (/.f64 y x) (.f64 z z))
	51.4b	(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
	49.8b	(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
	51.9b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	62.9b	(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
	62.9b	(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
	62.9b	(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
	57.0b	(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
	56.0b	(.f64 z (/.f64 (.f64 y z) x))
	53.8b	(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
	55.5b	(*.f64 z (/.f64 z (/.f64 x y)))
✓	49.6b	(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
	49.6b	(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
▶	53.1b	(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
	56.8b	(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
	57.0b	(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
	55.2b	(*.f64 z (/.f64 y (/.f64 x z)))
	57.1b	(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
	49.6b	(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
	51.9b	(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
	57.8b	(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
	57.8b	(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
	63.0b	(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
	53.1b	(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
	53.1b	(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
	53.9b	(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
	53.8b	(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
	49.6b	(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
	57.0b	(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
	49.6b	(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
	55.2b	(.f64 z (.f64 y (/.f64 z x)))
✓	57.0b	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
	58.4b	(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
	57.3b	(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
▶	57.3b	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Compiler

Compiled 2872 to 2004 computations (30.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
	0.1b	(fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)
✓	0.2b	(*.f64 (+.f64 x -1/2) (log.f64 x))
	5.9b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 94 to 60 computations (36.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
0.0ms	z	@	0	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
0.0ms	x	@	0	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
0.0ms	z	@	-inf	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
0.0ms	y	@	0	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))

rewrite199.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

584×	`associate-+l+`
536×	`+-commutative`
520×	`add-sqr-sqrt`
498×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	80
1	499	76
2	6822	76

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs

(*.f64 (+.f64 x -1/2) (log.f64 x))

(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) x) (*.f64 (log.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 x) -1/2) (*.f64 (log.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (log.f64 x)) (*.f64 -1/2 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (log.f64 x)) (*.f64 x (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))))

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-13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (sqrt.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)) (cbrt.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))))

simplify336.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate--r-`
1178×	`associate-+l+`
1124×	`associate-+r+`
1008×	`associate--l-`
980×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	19299
1	1401	17399
2	6871	17383

Stop Event

1×	node limit

Counts

187 → 282

Calls

Call 1

Inputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (.f64 1/2 (log.f64 (/.f64 1 x)))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (.f64 1/2 (log.f64 (/.f64 1 x)))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))))) x)
(+.f64 (.f64 (log.f64 x) x) (.f64 (log.f64 x) -1/2))
(+.f64 (.f64 (log.f64 x) -1/2) (.f64 (log.f64 x) x))
(+.f64 (.f64 x (log.f64 x)) (.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 x (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))
(/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2))))
(/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))
(/.f64 (.f64 (+.f64 -1/8 (pow.f64 x 3)) (log.f64 x)) (fma.f64 x x (-.f64 1/4 (.f64 x -1/2))))
(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))
(log.f64 (pow.f64 x (+.f64 x -1/2)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 1))
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))
(+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))
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(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 3) (pow.f64 (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)) (+.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (-.f64 (.f64 (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) (pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) x) 3)) (-.f64 (+.f64 (.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) x) (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) x)) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)) (.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) x) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (-.f64 (.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (.f64 (-.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)))) (.f64 (-.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (-.f64 (.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (fma.f64 x x (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (.f64 (-.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))) (.f64 (-.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (fma.f64 x x (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))
(/.f64 (-.f64 (.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000))) (-.f64 (.f64 x x) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2)))) (.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000))) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (-.f64 (.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (fma.f64 x x (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))) (.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000))) (fma.f64 x x (.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (+.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (pow.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))) (neg.f64 (-.f64 (+.f64 x (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 3) (pow.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (-.f64 (+.f64 x (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))
(pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2))
(log.f64 (exp.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))
(cbrt.f64 (pow.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(exp.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(fma.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(fma.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 2)) (cbrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))

Outputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) (.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) (.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1 (.f64 x (neg.f64 (log.f64 x))) (.f64 (neg.f64 (log.f64 x)) 1/2))
(fma.f64 (neg.f64 (log.f64 x)) 1/2 (*.f64 x (log.f64 x)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(*.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 -1/2 x))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (.f64 83333333333333/1000000000000000 (/.f64 1 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (+.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z)) (/.f64 83333333333333/1000000000000000 x))))
(+.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) x) z) (/.f64 83333333333333/1000000000000000 x)) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))))
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(expm1.f64 (log1p.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(exp.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(exp.f64 (.f64 (log.f64 (-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) 1))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(log1p.f64 (expm1.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(fma.f64 1 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(fma.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (sqrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) x))
(+.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) (-.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) 2)) (cbrt.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x)))) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000) 2)) (cbrt.f64 (fma.f64 (+.f64 -1/2 x) (log.f64 x) 91893853320467/100000000000000)) (neg.f64 (-.f64 x (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000) 2)) (cbrt.f64 (fma.f64 (log.f64 x) (+.f64 -1/2 x) 91893853320467/100000000000000)) (-.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) x))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 z (/.f64 z x))
✓	0.4b	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 z (/.f64 z x))
0.0ms	z	@	inf	(*.f64 z (/.f64 z x))
0.0ms	z	@	0	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
0.0ms	z	@	inf	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
0.0ms	z	@	-inf	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

rewrite72.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1714×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1578×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	168	32
2	2140	32

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 z (/.f64 z x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 7936500793651/10000000000000000 z) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) 7936500793651/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 7936500793651/10000000000000000) (/.f64 z (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 (*.f64 z (/.f64 z x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (/.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (/.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (/.f64 z x))))))))

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-*r/`
652×	`unswap-sqr`
650×	`associate-+r-`
642×	`associate--r+`
632×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	103	1425
1	237	1425
2	1065	1419
3	5868	1419

Stop Event

1×	node limit

Counts

89 → 48

Calls

Call 1

Inputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(-.f64 (exp.f64 (log1p.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))))) 1)
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) 1) (/.f64 x z))
(/.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) x)
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) (neg.f64 z)) (neg.f64 x))
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(pow.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) 1)
(pow.f64 (*.f64 (sqrt.f64 7936500793651/10000000000000000) (/.f64 z (sqrt.f64 x))) 2)
(pow.f64 (cbrt.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))) 3)
(pow.f64 (pow.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) 3) 1/3)
(sqrt.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (pow.f64 (.f64 z (/.f64 z x)) 2)))
(log.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))))))
(cbrt.f64 (pow.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) 3))
(expm1.f64 (log1p.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))))
(exp.f64 (log.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))))
(exp.f64 (.f64 (log.f64 (.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)))) 1))
(log1p.f64 (expm1.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 z x)))) 1)
(/.f64 z (/.f64 x z))
(/.f64 1 (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) x)
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z z) 1) x)
(/.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 x))
(pow.f64 (*.f64 z (/.f64 z x)) 1)
(pow.f64 (/.f64 z (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 z x))))
(exp.f64 (log.f64 (*.f64 z (/.f64 z x))))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 z x))))

Outputs
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
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(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
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(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(/.f64 (pow.f64 z 2) x)
(*.f64 z (/.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))))) 1)
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
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(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
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(/.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) x)
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(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
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(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
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(pow.f64 (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) 1)
(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
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(.f64 (.f64 7936500793651/10000000000000000 z) (/.f64 z x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z))
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(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
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(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 z x)))) 1)
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(*.f64 z (/.f64 z x))
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 x))
(*.f64 z (/.f64 z x))
(/.f64 (/.f64 (*.f64 z z) 1) x)
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(/.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (sqrt.f64 x))
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(/.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
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(pow.f64 (/.f64 z (sqrt.f64 x)) 2)
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(pow.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3) 1/3)
(*.f64 z (/.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))
(*.f64 z (/.f64 z x))
(log.f64 (pow.f64 (exp.f64 (/.f64 z x)) z))
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(cbrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 3))
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(exp.f64 (log.f64 (*.f64 z (/.f64 z x))))
(*.f64 z (/.f64 z x))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 z x))) 1))
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(log1p.f64 (expm1.f64 (*.f64 z (/.f64 z x))))
(*.f64 z (/.f64 z x))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 z (/.f64 x z))
✓	5.4b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
0.0ms	z	@	0	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
0.0ms	x	@	-inf	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
0.0ms	x	@	0	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
0.0ms	z	@	inf	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

rewrite94.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`associate-/l*`
1050×	`associate-/r/`
612×	`distribute-rgt-in`
588×	`distribute-lft-in`
426×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	229	38
2	3341	38

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

Inputs
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x z))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 z (/.f64 x z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 z (/.f64 x z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) 2) (cbrt.f64 (/.f64 z (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z x) (/.f64 z 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 z 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z 1) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 x)) (*.f64 z (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) 1) (*.f64 (/.f64 z x) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (/.f64 z 1) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 z (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (*.f64 (/.f64 z x) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) x) (*.f64 (/.f64 z 1) (cbrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 x z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 z (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 z x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 x z)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 z) x) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z -1) (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 z (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 z) 2) z))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z x) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z x) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z x) -1) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 z) -1) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) 1) (/.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (neg.f64 x)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (/.f64 x 1)) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z 1) -1) (neg.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (/.f64 x z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 z (/.f64 x z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 z x) (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 z (/.f64 x z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 x z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 z (/.f64 x z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 x z) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 z (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 z (/.f64 x z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 x z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 z (/.f64 x z))))))))

simplify173.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-r`
750×	`associate-l`
664×	`distribute-lft-neg-in`
634×	`*-commutative`
630×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	6692
1	1471	6492
2	6553	6454

Stop Event

1×	node limit

Counts

228 → 241

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(/.f64 (pow.f64 z 2) x)
(+.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))
(+.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 z (.f64 (/.f64 z x) y)))
(+.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) 1) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) 1))
(+.f64 (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) 1) (.f64 (.f64 z (.f64 (/.f64 z x) y)) 1))
(+.f64 (.f64 1 (.f64 (.f64 z (.f64 (/.f64 z x) y)) 1)) (.f64 1 (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) 1)))
(+.f64 (.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z)) (.f64 (/.f64 z x) (.f64 y z)))
(+.f64 (.f64 (/.f64 z x) (.f64 y z)) (.f64 (/.f64 z x) (.f64 7936500793651/10000000000000000 z)))
(+.f64 (.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) 1) 1) (.f64 (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) 1) 1))
(+.f64 (.f64 (.f64 z y) (/.f64 z x)) (.f64 (.f64 z 7936500793651/10000000000000000) (/.f64 z x)))
(+.f64 (.f64 (.f64 z 7936500793651/10000000000000000) (/.f64 z x)) (.f64 (.f64 z y) (/.f64 z x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))) 1)
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 z (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) 1))
(/.f64 z (/.f64 (*.f64 (/.f64 x z) (+.f64 y -7936500793651/10000000000000000)) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)))
(/.f64 z (/.f64 (.f64 (/.f64 x z) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y (+.f64 y -7936500793651/10000000000000000)))) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))))
(/.f64 (/.f64 z (/.f64 x z)) (/.f64 1 (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 x (*.f64 z z)))
(/.f64 1 (/.f64 (/.f64 x z) (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000)))
(/.f64 1 (/.f64 (.f64 (/.f64 x (.f64 z z)) (+.f64 y -7936500793651/10000000000000000)) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)))
(/.f64 1 (/.f64 (.f64 (/.f64 x (.f64 z z)) (+.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y (+.f64 y -7936500793651/10000000000000000)))) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))))
(/.f64 1 (.f64 (/.f64 x (.f64 z z)) (/.f64 1 (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (sqrt.f64 (+.f64 y 7936500793651/10000000000000000)) (/.f64 (/.f64 x (*.f64 z z)) (sqrt.f64 (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (sqrt.f64 z)))
(/.f64 (sqrt.f64 z) (/.f64 (/.f64 x z) (*.f64 (sqrt.f64 z) (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (cbrt.f64 (+.f64 y 7936500793651/10000000000000000)) (/.f64 (/.f64 x (*.f64 z z)) (pow.f64 (cbrt.f64 (+.f64 y 7936500793651/10000000000000000)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 y 7936500793651/10000000000000000)) 2) (/.f64 (/.f64 x (*.f64 z z)) (cbrt.f64 (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (cbrt.f64 z) (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (pow.f64 (cbrt.f64 z) 2)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) (cbrt.f64 z)))
(/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 (/.f64 x z) (*.f64 (cbrt.f64 z) (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) (/.f64 x z))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (.f64 (/.f64 x (.f64 z z)) (+.f64 y -7936500793651/10000000000000000)))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (/.f64 x (*.f64 z z)) (/.f64 1 (+.f64 y -7936500793651/10000000000000000))))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (+.f64 y -7936500793651/10000000000000000) (/.f64 z (/.f64 x z))))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (*.f64 (+.f64 y -7936500793651/10000000000000000) (/.f64 x z)) z))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (.f64 (+.f64 y -7936500793651/10000000000000000) (/.f64 x (.f64 z z))) 1))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (*.f64 (+.f64 y -7936500793651/10000000000000000) (/.f64 x (neg.f64 z))) (neg.f64 z)))
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(sqrt.f64 (pow.f64 (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)) 2))
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Outputs
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(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
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(/.f64 (*.f64 z z) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) 2) (cbrt.f64 (/.f64 z (/.f64 x z))))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (/.f64 z x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z x) z)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z x) (/.f64 z 1))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (neg.f64 z) (neg.f64 (/.f64 z x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (.f64 (/.f64 z x) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (/.f64 1 x) (.f64 z z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (/.f64 1 x) (.f64 (/.f64 z 1) z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z))))
(/.f64 (/.f64 z (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))
(*.f64 (/.f64 z 1) (/.f64 z x))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 z (neg.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (/.f64 (sqrt.f64 z) 1) (.f64 (/.f64 z x) (sqrt.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (/.f64 (sqrt.f64 z) x) (.f64 (/.f64 z 1) (sqrt.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) (/.f64 z (sqrt.f64 (/.f64 x z))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) z) (sqrt.f64 (/.f64 x z)))
(/.f64 (.f64 z (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) 1) (.f64 (/.f64 z x) (cbrt.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (.f64 (/.f64 z x) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 (sqrt.f64 z) (cbrt.f64 (/.f64 x z))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z))))
(/.f64 (/.f64 z (cbrt.f64 (/.f64 x z))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) x) (.f64 (/.f64 z 1) (cbrt.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (sqrt.f64 (/.f64 x z))) (/.f64 (cbrt.f64 z) (sqrt.f64 (/.f64 x z))))
(/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 z (/.f64 x z))))
(.f64 (cbrt.f64 (.f64 z (/.f64 z x))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 (/.f64 (.f64 z z) x))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))
(*.f64 (neg.f64 (/.f64 z x)) (neg.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 z) 2) (/.f64 x z)) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (neg.f64 z) x) (neg.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z -1) (neg.f64 (/.f64 z x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 z (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(.f64 (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 z) 2) z))) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z x) (/.f64 1 (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z x) (/.f64 1 (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z x) -1) (neg.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (neg.f64 z) -1) (/.f64 z x))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) 1) (/.f64 z x))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) (sqrt.f64 x)) (/.f64 z (sqrt.f64 x)))
(pow.f64 (/.f64 z (sqrt.f64 x)) 2)
(*.f64 (/.f64 (/.f64 z 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 x) 2)) (/.f64 z (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 z 1) (neg.f64 x)) (neg.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) (/.f64 x 1)) z)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z 1) -1) (neg.f64 (/.f64 z x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 z (sqrt.f64 (/.f64 x z))))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 z) (sqrt.f64 x)) z) (sqrt.f64 (/.f64 x z)))
(/.f64 (.f64 z (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 z (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z)))
(.f64 (/.f64 z (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (neg.f64 z)))
(.f64 (/.f64 z (.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 z x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 z x)) z) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z))
(.f64 (cbrt.f64 z) (/.f64 z (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))
(/.f64 (.f64 z (cbrt.f64 z)) (.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 z (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z)))
(.f64 (/.f64 z (.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 z (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 z)))
(pow.f64 (/.f64 z (/.f64 x z)) 1)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(pow.f64 (/.f64 z (sqrt.f64 x)) 2)
(pow.f64 (cbrt.f64 (/.f64 z (/.f64 x z))) 3)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(pow.f64 (pow.f64 (/.f64 z (/.f64 x z)) 3) 1/3)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(pow.f64 (/.f64 x (*.f64 z z)) -1)
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(neg.f64 (*.f64 (/.f64 z x) (neg.f64 z)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(sqrt.f64 (pow.f64 (/.f64 z (/.f64 x z)) 2))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 z x)) 2))
(fabs.f64 (/.f64 (*.f64 z z) x))
(log.f64 (pow.f64 (exp.f64 z) (/.f64 z x)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (/.f64 x z)))))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(cbrt.f64 (pow.f64 (/.f64 z (/.f64 x z)) 3))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(cbrt.f64 (/.f64 (pow.f64 z 3) (pow.f64 (/.f64 x z) 3)))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(expm1.f64 (log1p.f64 (/.f64 z (/.f64 x z))))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(exp.f64 (log.f64 (/.f64 z (/.f64 x z))))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(exp.f64 (*.f64 (log.f64 (/.f64 z (/.f64 x z))) 1))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)
(log1p.f64 (expm1.f64 (/.f64 z (/.f64 x z))))
(*.f64 z (/.f64 z x))
(/.f64 (*.f64 z z) x)

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))
✓	0.9b	(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
✓	2.3b	(/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))
✓	25.6b	(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y)))

Compiler

Compiled 109 to 63 computations (42.2% saved)

series21.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))
2.0ms	x	@	0	(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y)))
2.0ms	z	@	0	(/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))
1.0ms	x	@	inf	(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y)))
1.0ms	x	@	0	(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))

rewrite238.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`associate-/l/`
846×	`distribute-rgt-in`
800×	`distribute-lft-in`
518×	`associate-+l+`
336×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	172
1	355	156
2	4826	156

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

Inputs
(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y)))
(/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))

Outputs
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simplify231.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1182×	`associate-/l*`
1162×	`associate-/r*`
1066×	`associate-r`
980×	`associate-l`
882×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	18295
1	2184	17831

Stop Event

1×	node limit

Counts

355 → 401

Calls

Call 1

Inputs
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(.f64 10000000000000000/7936500793651 (/.f64 x (.f64 y (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))))
(*.f64 10000000000000000/7936500793651 x)
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(+.f64 (.f64 10000000000000000/7936500793651 x) (+.f64 (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -10000000000000000000000000000000000000000000000000000000000000000/3967493793726160421535992951086770620470001099859601 (.f64 (pow.f64 y 3) x)) (.f64 -100000000000000000000000000000000/62988044847622952881909801 (*.f64 y x)))))
(/.f64 x y)
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(+.f64 (.f64 -499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -7936500793651/10000000000000000 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (*.f64 62988044847622952881909801/100000000000000000000000000000000 (/.f64 x (pow.f64 y 3))))))
(/.f64 x y)
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(+.f64 (.f64 -499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 -7936500793651/10000000000000000 (/.f64 x (pow.f64 y 2))) (+.f64 (/.f64 x y) (*.f64 62988044847622952881909801/100000000000000000000000000000000 (/.f64 x (pow.f64 y 3))))))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y)))) (pow.f64 x 2)))
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Outputs
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(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 -100000000000000000000000000000000/62988044847622952881909801 (.f64 x x)))) (+.f64 (+.f64 (/.f64 x y) (.f64 x -10000000000000000/7936500793651)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 10000000000000000/7936500793651 x))) (pow.f64 (cbrt.f64 (.f64 10000000000000000/7936500793651 x)) 2) (*.f64 10000000000000000/7936500793651 x))))
(/.f64 (.f64 1 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 10000000000000000/7936500793651 x))) (pow.f64 (cbrt.f64 (.f64 10000000000000000/7936500793651 x)) 2) (.f64 10000000000000000/7936500793651 x)) (+.f64 (/.f64 x y) (.f64 x -10000000000000000/7936500793651)))) (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 -100000000000000000000000000000000/62988044847622952881909801 (*.f64 x x))))
(+.f64 (.f64 (pow.f64 (/.f64 x y) 2) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))) (.f64 (.f64 (.f64 (.f64 x 10000000000000000/7936500793651) 1) (-.f64 (.f64 (.f64 x 10000000000000000/7936500793651) 1) (/.f64 x y))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 (.f64 10000000000000000/7936500793651 x) (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 10000000000000000/7936500793651 (.f64 x (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(+.f64 (.f64 (.f64 (.f64 (.f64 x 10000000000000000/7936500793651) 1) (-.f64 (.f64 (.f64 x 10000000000000000/7936500793651) 1) (/.f64 x y))) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))) (.f64 (pow.f64 (/.f64 x y) 2) (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 (.f64 10000000000000000/7936500793651 x) (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 10000000000000000/7936500793651 (.f64 x (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))))) 1)
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(.f64 1 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1))) 1)
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(.f64 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) -1/2) (pow.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1)) -1/2))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))) (cbrt.f64 (pow.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))) (cbrt.f64 (pow.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)) -2)))
(.f64 -1 (/.f64 1 (neg.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1)))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (/.f64 x y) 2) (.f64 100000000000000000000000000000000/62988044847622952881909801 (.f64 x x)))) (+.f64 (/.f64 x y) (.f64 -10000000000000000/7936500793651 x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 -100000000000000000000000000000000/62988044847622952881909801 (.f64 x x)))) (+.f64 (/.f64 x y) (.f64 10000000000000000/7936500793651 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 x y) (.f64 x -10000000000000000/7936500793651)) (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 -100000000000000000000000000000000/62988044847622952881909801 (*.f64 x x))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3)))) (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 (.f64 (.f64 x 10000000000000000/7936500793651) 1) (-.f64 (.f64 (*.f64 x 10000000000000000/7936500793651) 1) (/.f64 x y)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 (.f64 10000000000000000/7936500793651 x) (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (*.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 x y) 2) (.f64 10000000000000000/7936500793651 (.f64 x (-.f64 (.f64 10000000000000000/7936500793651 x) (/.f64 x y))))) (+.f64 (pow.f64 (/.f64 x y) 3) (.f64 1000000000000000000000000000000000000000000000000/499904667923684346908081313317095473451 (pow.f64 x 3))))
(.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) -1) (pow.f64 (sqrt.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1))) -1))
(pow.f64 (sqrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y))) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y))) 2)))
(pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) -1)
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(pow.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) 1)
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(pow.f64 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) -1/2) 2)
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y))) 3))
(pow.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)) 3)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) -2))
(sqrt.f64 (pow.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1))) -1))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 (/.f64 x y) (.f64 (*.f64 x 10000000000000000/7936500793651) 1)))) 1))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)))))
(/.f64 1 (fma.f64 10000000000000000/7936500793651 x (/.f64 x y)))

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	12.1b	(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))

Compiler

Compiled 78 to 43 computations (44.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.0ms	y	@	inf	(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
0.0ms	x	@	inf	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
0.0ms	x	@	0	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

rewrite146.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1364×	`associate-/r/`
434×	`add-sqr-sqrt`
416×	`pow1`
416×	`*-un-lft-identity`
408×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	54
1	416	54
2	5931	54

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 z x) z) 7936500793651/10000000000000000) (*.f64 (*.f64 (/.f64 z x) z) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 z x) z) y) (*.f64 (*.f64 (/.f64 z x) z) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z)) (*.f64 y (*.f64 (/.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (/.f64 z x) z)) (*.f64 7936500793651/10000000000000000 (*.f64 (/.f64 z x) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (*.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 7936500793651/10000000000000000 y) (*.f64 (/.f64 z x) z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))) (*.f64 z (sqrt.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) 2) (cbrt.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 z 4)) (*.f64 (cbrt.f64 (*.f64 z z)) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 z x) z) (+.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) (*.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 z z)) (*.f64 -1 (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 z x) z) 1) (+.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 z x) z) (sqrt.f64 (+.f64 7936500793651/10000000000000000 y))) (sqrt.f64 (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (/.f64 z x) z) (pow.f64 (cbrt.f64 (+.f64 7936500793651/10000000000000000 y)) 2)) (cbrt.f64 (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) 1) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) 1) (/.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (sqrt.f64 x)) (/.f64 (+.f64 7936500793651/10000000000000000 y) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z z) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 7936500793651/10000000000000000 y) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (*.f64 z z) (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 (/.f64 (*.f64 z z) 1) (+.f64 7936500793651/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 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egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)) (sqrt.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000)))))

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

802×	`+-commutative`
688×	`associate-+r+`
634×	`associate-+l+`
624×	`*-commutative`
576×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	8516
1	1555	8110
2	6114	7912

Stop Event

1×	node limit

Counts

204 → 253

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))))
(+.f64 (.f64 (.f64 (/.f64 z x) z) 7936500793651/10000000000000000) (.f64 (.f64 (/.f64 z x) z) y))
(+.f64 (.f64 (.f64 (/.f64 z x) z) y) (.f64 (.f64 (/.f64 z x) z) 7936500793651/10000000000000000))
(+.f64 (.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z)) (.f64 y (.f64 (/.f64 z x) z)))
(+.f64 (.f64 y (.f64 (/.f64 z x) z)) (.f64 7936500793651/10000000000000000 (.f64 (/.f64 z x) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))) 1)
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(.f64 z (.f64 (/.f64 (+.f64 7936500793651/10000000000000000 y) x) z))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))) 1)
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(fma.f64 (log.f64 x) (-.f64 x 1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
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Outputs
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(/.f64 (-.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3)) (-.f64 -8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 -91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))))
(pow.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) 1)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 2)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 3)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (pow.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) 2))
(sqrt.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x)) 2))
(fabs.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x)))
(log.f64 (/.f64 (pow.f64 x (-.f64 x 1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) 3))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x))))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (log.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 1))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (-.f64 x 1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (log.f64 x) (-.f64 x 1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (*.f64 (-.f64 x 1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) (cbrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))

eval1.0s (3.4%)

Compiler: Compiled 46178 to 27475 computations (40.5% saved)

prune693.0ms (2.3%)

Pruning

67 alts after pruning (63 fresh and 4 done)

	Pruned	Kept	Total
New	1507	25	1532
Fresh	34	38	72
Picked	1	0	1
Done	2	4	6
Total	1544	67	1611

Error

Counts

1611 → 67

Alt Table

Click to see full alt table

Status	Error	Program
	49.6b	(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
	59.2b	(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
	35.6b	(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
	52.6b	(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
	59.2b	(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
	58.3b	(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
	58.3b	(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
	58.3b	(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
	57.0b	(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
	49.6b	(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
	50.0b	(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
	54.9b	(/.f64 y (/.f64 (/.f64 x z) z))
	55.7b	(/.f64 y (/.f64 x (*.f64 z z)))
	50.1b	(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
	49.7b	(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
	14.3b	(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
	23.0b	(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
	14.2b	(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
	14.2b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
	21.0b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 2) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	14.1b	(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.7b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	38.8b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	29.4b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.0b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	22.3b	(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	14.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	14.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	25.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
	6.3b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.8b	(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	6.9b	(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
	21.6b	(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
✓	49.3b	(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
	57.0b	(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
	56.2b	(.f64 (/.f64 y x) (.f64 z z))
	51.4b	(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
	62.9b	(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
	57.0b	(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
	56.0b	(.f64 z (/.f64 (.f64 y z) x))
	50.5b	(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
	55.5b	(*.f64 z (/.f64 z (/.f64 x y)))
	53.1b	(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
✓	49.6b	(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
	53.1b	(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
	56.8b	(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
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✓	57.0b	(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
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✓	57.3b	(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Compiler

Compiled 1207 to 841 computations (30.3% saved)

regimes1.7s (5.8%)

Counts

138 → 3

Calls

Call 1

Inputs
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(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 2) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 3))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) x)))
(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x))

Outputs

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

Calls

7 calls:

323.0ms	y
294.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
252.0ms	z
234.0ms	(+.f64 y 7936500793651/10000000000000000)
217.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Results

Error	Segments	Branch
0.5b	2	`x`
3.7b	3	`y`
0.4b	3	`z`
0.4b	3	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
3.7b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2469 to 1447 computations (41.4% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	8.709198736742785e+257	3.8136776954248394e+260
0.0ms	-8.627786432033161e+269	-5.815325846899148e+222

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes1.6s (5.4%)

Counts

136 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (sqrt.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) -1))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) z)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 2) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 3))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) x)))
(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

Calls

7 calls:

339.0ms	z
297.0ms	y
291.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
236.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
162.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
0.5b	2	`x`
3.7b	3	`y`
0.5b	3	`z`
0.5b	3	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.5b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.5b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
3.7b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2420 to 1417 computations (41.4% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3754823003985731e+169	8.698340382320555e+170
0.0ms	-8.627786432033161e+269	-5.815325846899148e+222

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes1.4s (4.6%)

Counts

135 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (sqrt.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) -1))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (+.f64 x 1/2) (fma.f64 x x -1/4))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x) z)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z) (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000)) x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)) 2) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 3))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) 2))
(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 x 1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) (exp.f64 (log1p.f64 x))) 1) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x -1/2))) 2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))))) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)) x)))
(+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z)) x))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

Calls

7 calls:

309.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
258.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
214.0ms	z
182.0ms	y
121.0ms	x

Results

Error	Segments	Branch
0.5b	2	`x`
3.7b	3	`y`
0.5b	3	`z`
0.5b	3	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.5b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.5b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
3.7b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2399 to 1404 computations (41.5% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3754823003985731e+169	8.698340382320555e+170
0.0ms	-8.627786432033161e+269	-5.815325846899148e+222

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes1.0s (3.4%)

Counts

109 → 2

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
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(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (pow.f64 (.f64 x 1000000000000000/83333333333333) -1) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (sqrt.f64 (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

Outputs

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))

Calls

7 calls:

316.0ms	z
152.0ms	x
140.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
139.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
119.0ms	y

Results

Error	Segments	Branch
0.5b	2	`x`
5.3b	2	`y`
0.6b	3	`z`
0.6b	3	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
0.6b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.6b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.3b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1737 to 964 computations (44.5% saved)

bsearch55.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
54.0ms	138164.09728113303	134510021.06172013

Results

48.0ms	128×	body	256	valid
3.0ms	19×	body	256	infinite

Compiler

Compiled 441 to 321 computations (27.2% saved)

regimes1.2s (3.9%)

Counts

104 → 5

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 (-.f64 -1/2 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (/.f64 1 (-.f64 -1/2 x)) (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))

Outputs
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Calls

7 calls:

334.0ms	z
183.0ms	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
179.0ms	x
148.0ms	y
134.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
2.8b	2	`x`
5.3b	2	`y`
1.2b	5	`z`
3.2b	2	`(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))`
2.2b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
2.2b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.3b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1623 to 898 computations (44.7% saved)

bsearch165.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
57.0ms	5.756570388672966e+145	3.640759038409148e+160
25.0ms	50395884780150300.0	14508950291055196000.0
14.0ms	-3.6844393192620555e+31	-3.2687504575534393e+28
67.0ms	-2.655692834335567e+184	-5.874127774611748e+153

Results

89.0ms	528×	body	256	valid
65.0ms	411×	body	256	infinite

Compiler

Compiled 1374 to 982 computations (28.5% saved)

regimes872.0ms (2.9%)

Counts

98 → 5

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 1 (.f64 x 1000000000000000/83333333333333)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (/.f64 1 x) 1000000000000000/83333333333333) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Calls

6 calls:

306.0ms	z
150.0ms	x
143.0ms	y
131.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
65.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
3.4b	2	`x`
5.9b	2	`y`
1.8b	5	`z`
2.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
2.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.9b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1447 to 778 computations (46.2% saved)

bsearch223.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
55.0ms	5.756570388672966e+145	3.640759038409148e+160
26.0ms	50395884780150300.0	14508950291055196000.0
15.0ms	-3.6844393192620555e+31	-3.2687504575534393e+28
125.0ms	-2.655692834335567e+184	-5.874127774611748e+153

Results

124.0ms	401×	body	256	infinite
86.0ms	544×	body	256	valid

Compiler

Compiled 1396 to 1004 computations (28.1% saved)

regimes824.0ms (2.8%)

Counts

94 → 5

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(-.f64 (+.f64 91893853320467/100000000000000 (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 (.f64 z (*.f64 z (+.f64 y 7936500793651/10000000000000000))) x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x))

Outputs
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Calls

6 calls:

358.0ms	z
163.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
89.0ms	x
89.0ms	y
50.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
3.4b	2	`x`
5.9b	2	`y`
1.9b	5	`z`
2.8b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
2.8b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.9b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1359 to 720 computations (47% saved)

bsearch279.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
164.0ms	5.756570388672966e+145	3.640759038409148e+160
26.0ms	0.09430486925772175	321155.07422687544
28.0ms	-3.6844393192620555e+31	-3.2687504575534393e+28
61.0ms	-2.655692834335567e+184	-5.874127774611748e+153

Results

203.0ms	608×	body	256	valid
64.0ms	395×	body	256	infinite

Compiler

Compiled 1550 to 1092 computations (29.5% saved)

regimes887.0ms (3%)

Counts

91 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

Outputs

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))

Calls

6 calls:

248.0ms	x
192.0ms	z
160.0ms	y
154.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
55.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
2.5b	3	`x`
10.6b	4	`y`
4.2b	5	`z`
3.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
3.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.8b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1297 to 683 computations (47.3% saved)

bsearch74.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	6.0294192378789895e+131	5.0445360672312334e+132
55.0ms	1.1018592607275075e-7	5.005850417186681e-7

Results

67.0ms	192×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 597 to 439 computations (26.5% saved)

regimes736.0ms (2.5%)

Counts

90 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Outputs

(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))

Calls

6 calls:

184.0ms	z
152.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
149.0ms	y
120.0ms	x
53.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
2.8b	3	`x`
10.6b	4	`y`
4.2b	5	`z`
3.3b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
3.3b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
11.8b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1277 to 672 computations (47.4% saved)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	6.0294192378789895e+131	5.0445360672312334e+132
19.0ms	1.1018592607275075e-7	5.005850417186681e-7

Results

25.0ms	144×	body	256	valid
2.0ms	13×	body	256	infinite

Compiler

Compiled 423 to 313 computations (26% saved)

regimes748.0ms (2.5%)

Counts

88 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Outputs

(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)

(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (*.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))

Calls

4 calls:

287.0ms	z
236.0ms	y
145.0ms	x
53.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
2.9b	3	`x`
10.6b	4	`y`
4.2b	5	`z`
11.8b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1211 to 626 computations (48.3% saved)

bsearch37.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	6.0294192378789895e+131	5.0445360672312334e+132
19.0ms	1.1018592607275075e-7	5.005850417186681e-7

Results

30.0ms	192×	body	256	valid
3.0ms	20×	body	256	infinite

Compiler

Compiled 507 to 367 computations (27.6% saved)

regimes770.0ms (2.6%)

Counts

85 → 2

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(-.f64 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) 91893853320467/100000000000000)) x)
(fma.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (+.f64 (-.f64 (.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))

Outputs

(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)

(+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))

Calls

4 calls:

325.0ms	y
215.0ms	z
137.0ms	x
68.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
4.2b	2	`x`
12.4b	2	`y`
4.2b	5	`z`
12.4b	2	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1157 to 596 computations (48.5% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	1.1018592607275075e-7	5.005850417186681e-7

Results

16.0ms	96×	body	256	valid
3.0ms	21×	body	256	infinite

Compiler

Compiled 255 to 187 computations (26.7% saved)

regimes372.0ms (1.3%)

Counts

81 → 2

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(/.f64 y (*.f64 x (pow.f64 z -2)))
(.f64 (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) (/.f64 z x)) z)
(.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (.f64 z z))
(/.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000)) (/.f64 x (*.f64 z z)))
(.f64 (.f64 1 (/.f64 z x)) (*.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x z)) (.f64 (fma.f64 -1 y -7936500793651/10000000000000000) z))
(.f64 (/.f64 -1 (/.f64 x (.f64 z z))) (fma.f64 -1 y -7936500793651/10000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 -1 y -7936500793651/10000000000000000) x) (/.f64 1 z)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 -1 y -7936500793651/10000000000000000))) (/.f64 (/.f64 x z) z))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 x (/.f64 83333333333333/1000000000000000 x)))

Outputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(*.f64 x (+.f64 (log.f64 x) -1))

Calls

4 calls:

141.0ms	z
109.0ms	x
41.0ms	y
27.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
7.1b	2	`x`
14.2b	1	`y`
11.6b	3	`z`
14.2b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1091 to 561 computations (48.6% saved)

bsearch26.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	553748852752917400.0	5.0923126757647915e+20

Results

22.0ms	128×	body	256	valid
2.0ms	12×	body	256	infinite

Compiler

Compiled 249 to 193 computations (22.5% saved)

regimes300.0ms (1%)

Counts

67 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)
(/.f64 (neg.f64 z) (/.f64 (/.f64 -1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) z))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z (*.f64 y z)) (/.f64 x (+.f64 10000000000000000/7936500793651 (/.f64 1 y)))))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 (.f64 y (.f64 z (+.f64 (/.f64 1 y) 10000000000000000/7936500793651))) x)))
(.f64 z (.f64 z (/.f64 1 (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(.f64 z (/.f64 z (.f64 10000000000000000/7936500793651 (/.f64 (/.f64 x y) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))))))
(.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (.f64 (/.f64 1 x) 7936500793651/10000000000000000)))))
(/.f64 z (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))))
(/.f64 (/.f64 z (/.f64 1 z)) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 x (.f64 y 10000000000000000/7936500793651))) (.f64 (.f64 x x) 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (+.f64 x (.f64 (/.f64 x y) 7936500793651/10000000000000000)) (.f64 (/.f64 x y) x))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (*.f64 7936500793651/10000000000000000 (/.f64 x y))) x) (/.f64 x y))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 y (.f64 x 10000000000000000/7936500793651))) x) (*.f64 x 10000000000000000/7936500793651))))
(.f64 z (.f64 z (/.f64 (/.f64 (+.f64 x (.f64 (.f64 x 10000000000000000/7936500793651) y)) (*.f64 x 10000000000000000/7936500793651)) x)))
(/.f64 1 (/.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) z))
(/.f64 1 (*.f64 (/.f64 1 (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))) (/.f64 1 z)))
(.f64 z (.f64 z (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (.f64 (/.f64 (/.f64 1 x) (+.f64 10000000000000000/7936500793651 (/.f64 1 y))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 x (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (/.f64 x y) 10000000000000000/7936500793651)))))
(.f64 z (/.f64 z (.f64 (/.f64 1 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1))) (.f64 (.f64 x 10000000000000000/7936500793651) (/.f64 x y)))))
(.f64 z (/.f64 z (/.f64 1 (/.f64 (+.f64 (/.f64 x y) (.f64 (.f64 x 10000000000000000/7936500793651) 1)) (.f64 (*.f64 x 10000000000000000/7936500793651) (/.f64 x y))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000)) (.f64 (.f64 x x) (-.f64 (.f64 y x) (*.f64 x 7936500793651/10000000000000000))))))
(.f64 z (/.f64 z (.f64 (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000)) (/.f64 (.f64 x x) (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x x) 62988044847622952881909801/100000000000000000000000000000000))))))
(.f64 z (.f64 z (/.f64 (-.f64 (.f64 (.f64 y x) (.f64 y x)) (.f64 (.f64 x 7936500793651/10000000000000000) (.f64 x 7936500793651/10000000000000000))) (.f64 (.f64 x x) (-.f64 (.f64 y x) (.f64 x 7936500793651/10000000000000000))))))
(/.f64 (.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (-.f64 (.f64 z (/.f64 (.f64 z y) x)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (.f64 (*.f64 z (/.f64 z x)) (+.f64 y -7936500793651/10000000000000000)))
(.f64 z (/.f64 (-.f64 (.f64 (.f64 (/.f64 z x) y) (.f64 (/.f64 z x) y)) (.f64 (.f64 z (/.f64 7936500793651/10000000000000000 x)) (.f64 z (/.f64 7936500793651/10000000000000000 x)))) (-.f64 (.f64 (/.f64 z x) y) (*.f64 z (/.f64 7936500793651/10000000000000000 x)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (/.f64 z x) y)) (.f64 z (.f64 (/.f64 z x) y))) (.f64 (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)) (.f64 (/.f64 7936500793651/10000000000000000 x) (.f64 z z)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y -7936500793651/10000000000000000)))

Outputs

(*.f64 z (*.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))

(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 (-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x)

(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Calls

4 calls:

129.0ms	z
61.0ms	x
51.0ms	y
21.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
32.0b	2	`x`
35.6b	1	`y`
32.0b	3	`z`
35.6b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 939 to 473 computations (49.6% saved)

bsearch51.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	321155.07422687544	256858638848771.88
24.0ms	-4218879745589.803	-468443212.2753915

Results

44.0ms	272×	body	256	valid
3.0ms	20×	body	256	infinite

Compiler

Compiled 559 to 407 computations (27.2% saved)

regimes82.0ms (0.3%)

Counts

40 → 1

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(/.f64 z (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))))
(/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z z)) x)
(.f64 z (.f64 z (*.f64 (/.f64 1 x) (+.f64 y 7936500793651/10000000000000000))))
(.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))
(.f64 (.f64 (/.f64 1 x) (*.f64 z z)) (+.f64 y 7936500793651/10000000000000000))
(.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z))
(/.f64 1 (/.f64 (/.f64 x (*.f64 z (+.f64 y 7936500793651/10000000000000000))) z))
(/.f64 (/.f64 z (/.f64 x (+.f64 y 7936500793651/10000000000000000))) (/.f64 1 z))
(.f64 z (.f64 z (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) (.f64 x x))))
(.f64 z (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) z))
(*.f64 z (/.f64 z (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))))
(.f64 z (/.f64 z (/.f64 (.f64 x x) (*.f64 x (+.f64 y 7936500793651/10000000000000000)))))
(.f64 (/.f64 (.f64 x (+.f64 y 7936500793651/10000000000000000)) x) (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 z z) (/.f64 1 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))))

Outputs
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))

Calls

4 calls:

20.0ms	x
19.0ms	z
19.0ms	y
13.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
49.3b	1	`x`
49.3b	1	`y`
49.3b	1	`z`
49.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 375 to 183 computations (51.2% saved)

regimes79.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 y (/.f64 (/.f64 x z) z))
(/.f64 (*.f64 7936500793651/10000000000000000 z) (/.f64 x z))
(/.f64 (*.f64 z z) (/.f64 x 7936500793651/10000000000000000))
(/.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) x)
(/.f64 (.f64 (.f64 z z) 7936500793651/10000000000000000) x)
(.f64 7936500793651/10000000000000000 (/.f64 1 (/.f64 x (.f64 z z))))
(.f64 z (.f64 z (/.f64 (-.f64 -7936500793651/10000000000000000 y) x)))
(.f64 z (/.f64 1 (/.f64 x (.f64 7936500793651/10000000000000000 z))))
(.f64 (.f64 z (/.f64 z x)) (-.f64 -7936500793651/10000000000000000 y))

Outputs
(/.f64 y (/.f64 (/.f64 x z) z))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(/.f64 y (/.f64 (/.f64 x z) z))

Calls

3 calls:

34.0ms	y
23.0ms	z
13.0ms	x

Results

Error	Segments	Branch
54.9b	1	`x`
49.6b	3	`y`
53.5b	2	`z`

Compiler

Compiled 198 to 92 computations (53.5% saved)

bsearch47.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.734077642997542e-14	0.00029071355776415193
21.0ms	-469591663819.86554	-227056756.15642467

Results

43.0ms	288×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 429 to 295 computations (31.2% saved)

regimes61.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (/.f64 z (.f64 x 10000000000000000/7936500793651)))
(*.f64 z (/.f64 z (/.f64 x y)))
(.f64 z (/.f64 (.f64 y z) x))
(.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 z x) (.f64 z 7936500793651/10000000000000000))
(/.f64 y (/.f64 x (*.f64 z z)))

Outputs
(*.f64 z (/.f64 y (/.f64 x z)))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))

Calls

3 calls:

24.0ms	z
24.0ms	y
9.0ms	x

Results

Error	Segments	Branch
55.2b	1	`x`
49.9b	3	`y`
52.6b	3	`z`

Compiler

Compiled 127 to 59 computations (53.5% saved)

bsearch47.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	1.734077642997542e-14	0.00029071355776415193
21.0ms	-469591663819.86554	-227056756.15642467

Results

43.0ms

288×

body

256

valid

Compiler

Compiled 429 to 295 computations (31.2% saved)

regimes39.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 z (/.f64 7936500793651/10000000000000000 x)))
(.f64 z (.f64 z (/.f64 y x)))

Outputs
(.f64 z (.f64 y (/.f64 z x)))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 z (.f64 y (/.f64 z x)))

Calls

3 calls:

15.0ms	y
15.0ms	z
7.0ms	x

Results

Error	Segments	Branch
55.2b	1	`x`
49.9b	3	`y`
52.6b	3	`z`

Compiler

Compiled 71 to 37 computations (47.9% saved)

bsearch401.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
378.0ms	1.734077642997542e-14	0.00029071355776415193
23.0ms	-486.31649783936695	-0.00022318473771451239

Results

397.0ms

304×

body

256

valid

Compiler

Compiled 451 to 310 computations (31.3% saved)

regimes30.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))

Outputs
(.f64 y (/.f64 (.f64 z z) x))
(.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))

Calls

3 calls:

13.0ms	z
12.0ms	y
4.0ms	x

Results

Error	Segments	Branch
55.7b	1	`x`
50.3b	3	`y`
52.6b	3	`z`

Compiler

Compiled 50 to 28 computations (44% saved)

bsearch449.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
276.0ms	1.0261321052832234e+21	5.695066436763733e+40
173.0ms	-469591663819.86554	-227056756.15642467

Results

445.0ms

304×

body

256

valid

Compiler

Compiled 451 to 310 computations (31.3% saved)

regimes28.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))
(.f64 y (/.f64 (.f64 z z) x))

Outputs
(.f64 y (/.f64 (.f64 z z) x))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(.f64 y (/.f64 (.f64 z z) x))

Calls

3 calls:

12.0ms	z
11.0ms	y
4.0ms	x

Results

Error	Segments	Branch
55.7b	1	`x`
50.6b	3	`y`
52.8b	3	`z`

Compiler

Compiled 43 to 25 computations (41.9% saved)

bsearch53.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.0261321052832234e+21	5.695066436763733e+40
22.0ms	-469591663819.86554	-227056756.15642467

Results

49.0ms

304×

body

256

valid

Compiler

Compiled 451 to 310 computations (31.3% saved)

regimes12.0ms (0%)

Accuracy

Total -1.1b remaining (-1.9%)

Threshold costs -1.1b (-1.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 z (/.f64 x z)))
(.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))

Outputs
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Calls

3 calls:

4.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
57.3b	1	`x`
57.3b	1	`y`
57.3b	1	`z`

Compiler

Compiled 36 to 24 computations (33.3% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

58×	`+-commutative`
50×	`*-commutative`
14×	`sub-neg`
14×	`if-if-or-not`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	2660
1	270	2660
2	277	2660
3	280	2660
4	281	2660

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 1000000000000000056799717631659959599209893702659726317411141269166906774962677479877261307539674049653972646503389945789686576510419339128243706118473032320081290665497741564406670023712287789874734736674207136744674199783831719918405933396323484899269935104) (+.f64 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x)))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (.f64 -13888888888889/5000000000000000 z)) x)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))))
(if (<=.f64 x 15500000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))))
(if (<=.f64 z -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 z (/.f64 x (.f64 z (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z -49999999999999995716575428608) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 1000000000000000000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 z -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 z (/.f64 x (.f64 z (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z -199999999999999982866301714432) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 60000000000000000) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 z -13999999999999999624126215218373424466723756628999792018937385960434328649190950682933561119844203475201553338089456373175085254909523321112146188185894912) (/.f64 z (/.f64 x (.f64 z (+.f64 y 7936500793651/10000000000000000)))) (if (<=.f64 z -33000000000000000163611410432) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 11) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x)) (if (<=.f64 z 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))))))
(if (<=.f64 x 4722366482869645/9444732965739290427392) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 x 1150000000000000076138416144783322315253488397795808019957132455519302193901685070971787271378386151036428351899018889908319460261888) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x)))))
(if (<=.f64 x 4722366482869645/9444732965739290427392) (+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 x 5000000000000000111755861797384299667549204650486879780239418214450132430121171797988101755921550297505076285418812476851459272474624) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (.f64 z 7936500793651/10000000000000000) x)))))
(if (<=.f64 x 4722366482869645/9444732965739290427392) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) (if (<=.f64 x 4299999999999999818719917523133364059647873694407675423244535200350369347548222180379886238752170551497931171070372618813593922568192) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 z (/.f64 (*.f64 z 7936500793651/10000000000000000) x)))))
(if (<=.f64 x 4722366482869645/9444732965739290427392) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(if (<=.f64 x 560000000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) (*.f64 x (+.f64 (log.f64 x) -1)))
(if (<=.f64 z -380000000000) (.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)))) (if (<=.f64 z 1050000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z)) x) (*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
(if (<=.f64 y -230000000) (/.f64 y (/.f64 (/.f64 x z) z)) (if (<=.f64 y 2674777890687885/9223372036854775808) (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) (/.f64 y (/.f64 (/.f64 x z) z))))
(if (<=.f64 y -240000000) (.f64 z (/.f64 y (/.f64 x z))) (if (<=.f64 y 2674777890687885/9223372036854775808) (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) (.f64 z (*.f64 y (/.f64 z x)))))
(if (<=.f64 y -564931537257355/576460752303423488) (.f64 z (.f64 y (/.f64 z x))) (if (<=.f64 y 2674777890687885/9223372036854775808) (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) (.f64 z (.f64 y (/.f64 z x)))))
(if (<=.f64 y -240000000) (.f64 y (/.f64 (.f64 z z) x)) (if (<=.f64 y 1040000000000000000000) (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))) (.f64 y (/.f64 (.f64 z z) x))))
(if (<=.f64 y -230000000) (.f64 y (/.f64 (.f64 z z) x)) (if (<=.f64 y 369999999999999988423720960) (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) (.f64 y (/.f64 (.f64 z z) x))))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Outputs
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(if (or (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (not (<=.f64 (.f64 z (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 1000000000000000056799717631659959599209893702659726317411141269166906774962677479877261307539674049653972646503389945789686576510419339128243706118473032320081290665497741564406670023712287789874734736674207136744674199783831719918405933396323484899269935104))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (/.f64 x z)))) (+.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (/.f64 (+.f64 (.f64 z (+.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)) 83333333333333/1000000000000000) x)))
(if (or (<=.f64 (.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 (+.f64 y 7936500793651/10000000000000000) z))) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (not (<=.f64 (.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1000000000000000056799717631659959599209893702659726317411141269166906774962677479877261307539674049653972646503389945789686576510419339128243706118473032320081290665497741564406670023712287789874734736674207136744674199783831719918405933396323484899269935104))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (+.f64 y 7936500793651/10000000000000000) (/.f64 z (/.f64 x z)))) (+.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (expm1.f64 (log1p.f64 x))))) (/.f64 (+.f64 (.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 83333333333333/1000000000000000) x)))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -500000000000000023376909442728063994594802715665205143420682436372008219697277947305184129090151668469538444067022475144663084092331215165737156638708489908193694639932318967793498760119176155511330039146864335692596466630531151717376319013390688774370983942319641722880) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 19999999999999998677209896694859491247439004328606630372233856446154012933992072952513848651916918943418291091993970429510787616268896255865589170108074572349887700008960) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000)))))
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(*.f64 (/.f64 z (/.f64 x z)) (+.f64 y 7936500793651/10000000000000000))
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(if (or (<=.f64 y -564931537257355/576460752303423488) (not (<=.f64 y 2674777890687885/9223372036854775808))) (.f64 z (.f64 y (/.f64 z x))) (.f64 z (.f64 7936500793651/10000000000000000 (/.f64 z x))))
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(if (<=.f64 y -230000000) (.f64 y (/.f64 (.f64 z z) x)) (if (<=.f64 y 369999999999999988423720960) (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))) (.f64 y (/.f64 (.f64 z z) x))))
(if (or (<=.f64 y -230000000) (not (<=.f64 y 369999999999999988423720960))) (.f64 y (/.f64 (.f64 z z) x)) (.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x))))
(.f64 7936500793651/10000000000000000 (.f64 z (/.f64 z x)))

Compiler

Compiled 1004 to 667 computations (33.6% saved)

soundness337.0ms (1.1%)

Algorithm

3×	egg-herbie

Rules

1610×	`associate-/l*`
1570×	`fma-def`
1474×	`associate-*r/`
1230×	`associate-/l*`
1200×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	46	63
2	102	61
3	243	59
4	636	59
5	1650	59
6	3448	59
7	5525	59
8	7188	59
0	320	6030
1	895	5618
2	3770	5618
0	488	10047
1	1256	9317
2	5132	9317

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 640 to 426 computations (33.4% saved)

end501.0ms (1.7%)

Compiler: Compiled 947 to 563 computations (40.5% saved)