Details

analyze347.0ms (1.7%)

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)

sample2.5s (12.3%)

Results

1.7s	8256×	body	256	valid
492.0ms	2017×	body	256	infinite
273.0ms	1461×	body	256	invalid

Bogosity

preprocess64.0ms (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)

simplify76.0ms (0.4%)

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

6.0b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.1b	(+.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))
▶	6.1b	(+.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

▶

6.1b

(+.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))

▶

6.1b

(+.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)

localize44.0ms (0.2%)

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)
✓	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	5.6b	(/.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)

series24.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
5.0ms	x	@	0	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
3.0ms	x	@	-inf	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
2.0ms	y	@	-inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
1.0ms	z	@	inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite157.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`add-sqr-sqrt`
502×	`pow1`
502×	`*-un-lft-identity`
498×	`add-exp-log`
496×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	98
1	512	98
2	6878	98

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

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

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 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.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 .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (+.f64 91893853320467/100000000000000 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (neg.f64 (+.f64 x -91893853320467/100000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) 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simplify176.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-+l-`
1376×	`associate-+r-`
872×	`associate--r+`
682×	`associate--l+`
632×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	10494
1	1142	9342
2	4655	9340

Stop Event

1×	node limit

Counts

242 → 328

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)))
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(+.f64 (+.f64 (neg.f64 x) (.f64 (log.f64 x) x)) (.f64 (log.f64 x) -1/2))
(+.f64 (+.f64 (neg.f64 x) (.f64 x (log.f64 x))) (.f64 -1/2 (log.f64 x)))
(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x x)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x x)) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (neg.f64 x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x x))) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 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 x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2)) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 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 (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))))
(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 x -91893853320467/100000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (+.f64 91893853320467/100000000000000 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) (-.f64 1 (neg.f64 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 8106146679533/100000000000000)
(-.f64 (exp.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x)
(-.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (-.f64 (/.f64 (.f64 x x) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) 91893853320467/100000000000000))
(-.f64 (/.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (exp.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))) 1)
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (/.f64 (.f64 x x) (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (/.f64 (pow.f64 x 3) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(-.f64 (+.f64 (+.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) 0) x)
(*.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(*.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2)) (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000) (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)))
(/.f64 1 (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 (+.f64 x -91893853320467/100000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)
(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 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)
(fma.f64 (cbrt.f64 (pow.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)))

Outputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
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(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 91893853320467/100000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) -91893853320467/100000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000))
(*.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (/.f64 1 (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000) (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) -91893853320467/100000000000000))
(/.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3)) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2) (.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 91893853320467/100000000000000))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) -91893853320467/100000000000000))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) (+.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000))) (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) -91893853320467/100000000000000))
(/.f64 (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2) (.f64 (+.f64 x -91893853320467/100000000000000) (-.f64 91893853320467/100000000000000 x))) (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) -91893853320467/100000000000000))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (+.f64 (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 x -91893853320467/100000000000000)) (.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x -91893853320467/100000000000000)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (+.f64 x -91893853320467/100000000000000) (.f64 (log.f64 x) (+.f64 x -1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 3) (pow.f64 (+.f64 x -91893853320467/100000000000000) 3)) (fma.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) x) -91893853320467/100000000000000) (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) -8444480278083503881401098089/10000000000000000000000000000)) (neg.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) -91893853320467/100000000000000)))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) (-.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))
(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2)) (+.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (log.f64 x) (+.f64 x -1/2)))))
(/.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 2) (*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))))
(/.f64 (+.f64 -775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (neg.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 3))) (+.f64 -8444480278083503881401098089/10000000000000000000000000000 (neg.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 2) (*.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)))))))
(/.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 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) 91893853320467/100000000000000))))
(/.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 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x)) -91893853320467/100000000000000))))
(pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 1)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3) 1/3)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 2))
(sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))) 2))
(fabs.f64 (-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x))
(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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000) 3))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(expm1.f64 (log.f64 (+.f64 191893853320467/100000000000000 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 1))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000))
(-.f64 (fma.f64 (log.f64 x) (+.f64 x -1/2) 91893853320467/100000000000000) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (-.f64 91893853320467/100000000000000 x))
(fma.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) 2)) (cbrt.f64 (.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 91893853320467/100000000000000 x))

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
✓	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))
✓	5.6b	(/.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)

series5.0ms (0%)

Counts

4 → 96

Calls

24 calls:

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

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`associate-*l/`
958×	`associate-/r*`
442×	`add-sqr-sqrt`
420×	`pow1`
420×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	92
1	434	92
2	5393	92

Stop Event

1×	node limit

Counts

4 → 137

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)
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)

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

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-*r/`
1036×	`associate-*l/`
858×	`associate-/r*`
806×	`associate-+l+`
746×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	7987
1	969	7477
2	4163	7107

Stop Event

1×	node limit

Counts

233 → 262

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)))
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(-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x 91893853320467/100000000000000)) (-.f64 (/.f64 (.f64 x x) (+.f64 x 91893853320467/100000000000000)) (.f64 (+.f64 x -1/2) (log.f64 x))))
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(-.f64 (+.f64 (+.f64 91893853320467/100000000000000 (*.f64 (+.f64 x -1/2) (log.f64 x))) 0) x)
(-.f64 (+.f64 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 1) (exp.f64 (log1p.f64 (-.f64 91893853320467/100000000000000 x)))) 1)
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(*.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)
(*.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))
(*.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 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2))
(*.f64 (pow.f64 (cbrt.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))))
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(/.f64 (+.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 3) (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3)) (+.f64 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (.f64 (+.f64 x -1/2) (log.f64 x))) (-.f64 (pow.f64 (-.f64 91893853320467/100000000000000 x) 2) (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (-.f64 91893853320467/100000000000000 x)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (-.f64 91893853320467/100000000000000 x) 2)) 1) (+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 91893853320467/100000000000000) x))
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(pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x))))
(+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))
(+.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)
(+.f64 (.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000))) (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000))
(+.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z) (+.f64 (*.f64 -13888888888889/5000000000000000 z) 83333333333333/1000000000000000))
(+.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1) 83333333333333/1000000000000000)
(+.f64 (+.f64 83333333333333/1000000000000000 (.f64 z (.f64 z (+.f64 y 7936500793651/10000000000000000)))) (*.f64 z -13888888888889/5000000000000000))
(+.f64 (+.f64 83333333333333/1000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) z)) (*.f64 -13888888888889/5000000000000000 z))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1)
(*.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)
(*.f64 1 (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)) (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(/.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) (+.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) 1) (-.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(/.f64 (.f64 (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)) 1) (+.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))
(+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000)))
(+.f64 -13888888888889/5000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) 1))
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(+.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) 1) -13888888888889/5000000000000000)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1)
(*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(*.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(/.f64 (-.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) (.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) (-.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) (+.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) (.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) (.f64 z (+.f64 y 7936500793651/10000000000000000))) 192901234567904320987654321/25000000000000000000000000000000) 1) (-.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))
(/.f64 (.f64 (+.f64 -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) 3)) 1) (+.f64 (.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) (.f64 z (+.f64 y 7936500793651/10000000000000000))) (-.f64 192901234567904320987654321/25000000000000000000000000000000 (.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))))
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))

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

eval365.0ms (1.8%)

Compiler: Compiled 17738 to 11381 computations (35.8% saved)

prune159.0ms (0.8%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	560	30	590
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	562	30	592

Error

1.7b

Counts

592 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	6.4b	(+.f64 (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) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
	25.5b	(+.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))
	13.0b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
	24.7b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 y x) (.f64 z z)))
	6.2b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.6b	(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.0b	(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 (exp.f64 (log1p.f64 x)) 1)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	22.8b	(+.f64 (+.f64 (/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.f64 x x)))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	6.2b	(+.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))
▶	6.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.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))
	22.8b	(+.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))
	6.1b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
▶	6.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
	6.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
	20.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	24.6b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
	23.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
▶	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	20.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
▶	3.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
	13.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x)))
	13.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	19.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	11.1b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))
	6.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
	24.5b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))
	29.5b	(+.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))
	6.2b	(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	7.2b	(+.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))
	38.2b	(+.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))

Compiler

Compiled 1660 to 1208 computations (27.2% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.0b	(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
✓	6.0b	(/.f64 y (/.f64 x (*.f64 z z)))
✓	6.1b	(/.f64 x (*.f64 z z))

Compiler

Compiled 136 to 67 computations (50.7% saved)

series14.0ms (0.1%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 y (/.f64 x (*.f64 z z)))
2.0ms	x	@	inf	(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	y	@	0	(/.f64 y (/.f64 x (*.f64 z z)))
1.0ms	x	@	0	(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
1.0ms	x	@	0	(/.f64 x (*.f64 z z))

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-/r/`
1078×	`associate-/l/`
368×	`distribute-lft-in`
358×	`add-sqr-sqrt`
342×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	354	60
2	4887	60

Stop Event

1×	node limit

Counts

4 → 257

Calls

Call 1

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

Outputs
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((#(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 .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 x)) -83333333333333/1000000000000000)))) (#(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 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 2))))) (#(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)))))))

simplify132.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-r`
926×	`*-commutative`
782×	`associate-/l*`
778×	`associate-l`
748×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	7315
1	1773	7179
2	7486	7179

Stop Event

1×	node limit

Counts

341 → 338

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 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 z -2)))) 1)
(*.f64 x (pow.f64 z -2))
(.f64 (.f64 x (pow.f64 z -2)) 1)
(*.f64 (/.f64 x z) (/.f64 1 z))
(.f64 1 (.f64 x (pow.f64 z -2)))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) z))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 z -2)))
(*.f64 (sqrt.f64 (/.f64 x z)) (/.f64 (sqrt.f64 (/.f64 x z)) z))
(.f64 (cbrt.f64 (.f64 x (pow.f64 z -2))) (cbrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4))))
(.f64 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 z 4))) (cbrt.f64 (*.f64 x (pow.f64 z -2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (pow.f64 z -2)))
(*.f64 (pow.f64 z -2) x)
(*.f64 (/.f64 1 z) (/.f64 x z))
(.f64 (neg.f64 x) (/.f64 1 (.f64 z (neg.f64 z))))
(*.f64 (/.f64 x 1) (pow.f64 z -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 z 4))) (/.f64 x (pow.f64 (cbrt.f64 z) 2)))
(.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (.f64 (sqrt.f64 z) z)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 x (.f64 (cbrt.f64 z) z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 1 z) (sqrt.f64 z)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 1 z) (cbrt.f64 z)))
(.f64 -1 (/.f64 (neg.f64 x) (.f64 z z)))
(.f64 (/.f64 1 (.f64 z (neg.f64 z))) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) 1) (/.f64 (cbrt.f64 (/.f64 x z)) z))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.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) 1) (/.f64 (cbrt.f64 x) (.f64 z z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 z 4))) (cbrt.f64 (.f64 x (pow.f64 z -2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) z) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (.f64 x (pow.f64 z -2))))
(*.f64 (/.f64 1 (/.f64 1 x)) (pow.f64 z -2))
(.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 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 z 4))))) (cbrt.f64 (*.f64 x (pow.f64 z -2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 z z)) (cbrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) z) (cbrt.f64 (/.f64 x z)))
(pow.f64 (*.f64 x (pow.f64 z -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 x) z) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 z -2))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 z -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 z x) z) -1)
(neg.f64 (/.f64 x (*.f64 z (neg.f64 z))))
(sqrt.f64 (/.f64 (*.f64 x x) (pow.f64 z 4)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 z -2)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 z -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 z z) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 z -2))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 z -2))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 z -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 z -2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 y (.f64 (/.f64 z x) z)))) 1)
(.f64 (.f64 z z) (/.f64 y x))
(.f64 y (.f64 (/.f64 z x) z))
(.f64 (.f64 y (*.f64 (/.f64 z x) z)) 1)
(.f64 1 (.f64 y (*.f64 (/.f64 z x) z)))
(.f64 (.f64 (sqrt.f64 (/.f64 y x)) z) (*.f64 (sqrt.f64 (/.f64 y x)) z))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (*.f64 (/.f64 z x) z)))
(.f64 (cbrt.f64 (.f64 y (.f64 (/.f64 z x) z))) (pow.f64 (cbrt.f64 (.f64 y (*.f64 (/.f64 z x) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 (/.f64 z x) z))) 2) (cbrt.f64 (.f64 y (*.f64 (/.f64 z x) z))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (*.f64 (/.f64 z x) z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (/.f64 y x) (.f64 (/.f64 z 1) z))
(.f64 (/.f64 z x) (.f64 y z))
(.f64 (.f64 (/.f64 z x) z) y)
(.f64 (/.f64 1 x) (.f64 y (*.f64 z z)))
(*.f64 (/.f64 1 x) (/.f64 y (pow.f64 z -2)))
(.f64 (neg.f64 y) (.f64 -1 (*.f64 (/.f64 z x) z)))
(.f64 (.f64 (/.f64 y x) z) z)
(.f64 (.f64 (/.f64 y x) 1) (*.f64 z z))
(.f64 (.f64 (/.f64 y x) (cbrt.f64 (pow.f64 z 4))) (pow.f64 (cbrt.f64 z) 2))
(.f64 (/.f64 y 1) (.f64 (/.f64 z x) z))
(.f64 (/.f64 y 1) (.f64 z (/.f64 z x)))
(.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (.f64 z z) (sqrt.f64 x)))
(.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (.f64 z z) (cbrt.f64 x)))
(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) z) (*.f64 (/.f64 y (sqrt.f64 x)) z))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 z 4)))) (/.f64 y (cbrt.f64 (*.f64 x (pow.f64 z -2)))))
(.f64 (/.f64 y (neg.f64 x)) (.f64 z (neg.f64 z)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 y (*.f64 z (neg.f64 z))))
(.f64 (.f64 -1 (*.f64 (/.f64 z x) z)) (neg.f64 y))
(.f64 (/.f64 (sqrt.f64 y) 1) (.f64 (/.f64 (sqrt.f64 y) x) (*.f64 z z)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (pow.f64 z -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (.f64 (/.f64 (cbrt.f64 y) x) (*.f64 z z)))
(.f64 (.f64 (/.f64 (sqrt.f64 y) x) (*.f64 z z)) (sqrt.f64 y))
(.f64 (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 z 4)))) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 x (pow.f64 z -2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (pow.f64 z -2)))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 x)) z))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (.f64 x x) (pow.f64 z 4)))) (cbrt.f64 (.f64 y (.f64 (/.f64 z x) z))))
(*.f64 (/.f64 y (sqrt.f64 (/.f64 x z))) (/.f64 z (sqrt.f64 (/.f64 x z))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (/.f64 z (cbrt.f64 (/.f64 x z))))
(*.f64 (/.f64 y (/.f64 (neg.f64 x) z)) (neg.f64 z))
(.f64 (/.f64 y (/.f64 x 1)) (.f64 z z))
(*.f64 (/.f64 y (/.f64 x (cbrt.f64 (pow.f64 z 4)))) (pow.f64 (cbrt.f64 z) 2))
(.f64 (/.f64 y (/.f64 x (.f64 (sqrt.f64 z) z))) (sqrt.f64 z))
(*.f64 (/.f64 y (/.f64 (/.f64 x z) (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(.f64 (/.f64 y -1) (neg.f64 (.f64 (/.f64 z x) z)))
(.f64 (/.f64 y (neg.f64 (neg.f64 x))) (neg.f64 (.f64 z (neg.f64 z))))
(.f64 (/.f64 1 (/.f64 x (.f64 (sqrt.f64 y) (*.f64 z z)))) (sqrt.f64 y))
(.f64 (/.f64 1 (/.f64 (.f64 x (pow.f64 z -2)) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 x (pow.f64 z -2))) (cbrt.f64 y))
(.f64 (/.f64 (/.f64 y x) 1) (.f64 z z))
(.f64 (/.f64 (/.f64 y x) 1) (/.f64 (.f64 z z) 1))
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 z)) z)
(*.f64 (/.f64 (/.f64 y x) (/.f64 1 (cbrt.f64 (pow.f64 z 4)))) (pow.f64 (cbrt.f64 z) 2))
(.f64 (/.f64 (/.f64 y x) -1) (.f64 z (neg.f64 z)))
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Outputs
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
(/.f64 x (pow.f64 z 2))
(/.f64 x (*.f64 z z))
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(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (/.f64 x (pow.f64 (cbrt.f64 z) 2))) (cbrt.f64 z))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) -1) (neg.f64 (/.f64 z x)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 z)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) 1) (sqrt.f64 (/.f64 z x)))
(*.f64 (sqrt.f64 (/.f64 z x)) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))))
(/.f64 (*.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (sqrt.f64 (/.f64 z x))) (sqrt.f64 (/.f64 x z)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x z)))))
(*.f64 (sqrt.f64 z) (/.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (sqrt.f64 (/.f64 x z))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 z)))
(.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 x z)))) (sqrt.f64 (neg.f64 z)))
(.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) 1) (cbrt.f64 (/.f64 z x)))
(*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (/.f64 z x)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 z x)) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 x)) (cbrt.f64 z))
(.f64 (cbrt.f64 z) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))
(.f64 (cbrt.f64 z) (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 z)))
(.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x z)) 2))) (cbrt.f64 (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x z)) 2)) (cbrt.f64 (neg.f64 z)))
(pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 1)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 2)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 3)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3) 1/3)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(pow.f64 (/.f64 x (*.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) z)) -1)
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(neg.f64 (*.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (neg.f64 x)) z))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 2))
(fabs.f64 (*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) (/.f64 z x)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x)) 3))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 3) (pow.f64 (/.f64 x z) 3)))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(exp.f64 (log.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))) 1))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))))
(*.f64 z (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x))
(*.f64 (/.f64 z x) (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000))
(-.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)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)))
(/.f64 (/.f64 83333333333333/1000000000000000 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) -83333333333333/1000000000000000)
(/.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 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 2))
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(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)

localize22.0ms (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)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

localize127.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
✓	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
✓	0.3b	(*.f64 x (+.f64 (log.f64 x) -1))
	5.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 101 to 67 computations (33.7% saved)

series75.0ms (0.4%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	x	@	0	(*.f64 x (+.f64 (log.f64 x) -1))
19.0ms	x	@	inf	(*.f64 x (+.f64 (log.f64 x) -1))
8.0ms	x	@	-inf	(*.f64 x (+.f64 (log.f64 x) -1))
0.0ms	z	@	inf	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
0.0ms	z	@	-inf	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`associate-*l/`
1116×	`distribute-lft-in`
360×	`add-sqr-sqrt`
360×	`associate-/r*`
346×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	352	51
2	4483	51

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1310×	`associate-/r*`
1216×	`associate-*r/`
856×	`associate-/r/`
824×	`associate-/l*`
786×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	438	7198
1	1124	6966
2	4576	6638

Stop Event

1×	node limit

Counts

212 → 237

Calls

Call 1

Inputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(*.f64 (-.f64 (log.f64 x) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
(.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))
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(pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))
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(expm1.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(exp.f64 (log.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(+.f64 (.f64 z y) (.f64 z 7936500793651/10000000000000000))
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(+.f64 (.f64 1 (.f64 7936500793651/10000000000000000 z)) (.f64 1 (.f64 y z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1)
(/.f64 z (/.f64 1 (+.f64 y 7936500793651/10000000000000000)))
(/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (/.f64 (+.f64 y -7936500793651/10000000000000000) z))
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(/.f64 (.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y 7936500793651/10000000000000000))))
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(/.f64 (.f64 (.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) 1) (+.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))))
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Outputs
(*.f64 (-.f64 (log.f64 x) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 (-.f64 (log.f64 x) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 (-.f64 (log.f64 x) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(*.f64 (-.f64 (log.f64 x) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
(*.f64 x (+.f64 (log.f64 x) -1))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(-.f64 (*.f64 x (log.f64 x)) x)
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(*.f64 x (+.f64 (log.f64 x) -1))
(.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 1) x)
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(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
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(/.f64 (sqrt.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 (sqrt.f64 (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 7936500793651/10000000000000000 y)))) (.f64 z (sqrt.f64 (+.f64 7936500793651/10000000000000000 y)))))
(/.f64 (sqrt.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (/.f64 (sqrt.f64 (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000)))) (.f64 z (sqrt.f64 (+.f64 7936500793651/10000000000000000 y)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y (+.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 y -7936500793651/10000000000000000))))) (*.f64 z (sqrt.f64 (+.f64 7936500793651/10000000000000000 y))))
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(/.f64 z (/.f64 (+.f64 y -7936500793651/10000000000000000) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)))
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(/.f64 (.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 y y (-.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 7936500793651/10000000000000000 y))))
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(*.f64 (/.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (+.f64 y -7936500793651/10000000000000000)) z)
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(pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 1)
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(pow.f64 (sqrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 2)
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(pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 3)
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(pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) 1/3)
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(sqrt.f64 (pow.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 2))
(fabs.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3))
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(expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z)) 1))
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(*.f64 z (+.f64 7936500793651/10000000000000000 y))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)
✓	0.5b	(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
	5.6b	(/.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)

series9.0ms (0%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms	x	@	0	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
906×	`associate-*r/`
710×	`associate-*l/`
686×	`distribute-lft-in`
672×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	262	61
2	3143	61

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3)
(cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 x))))))

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

998×	`fma-def`
962×	`associate-r`
854×	`associate-l`
802×	`associate-/l*`
694×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	672	13889
1	1945	12881

Stop Event

1×	node limit

Counts

237 → 361

Calls

Call 1

Inputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))))
(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
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(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 (neg.f64 x) (neg.f64 x))) 1) (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) (neg.f64 x)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 (neg.f64 x) 3)) 1) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (log.f64 (pow.f64 x (+.f64 x -1/2)))))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x))) 1) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x))) (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)) (.f64 (.f64 x x) (.f64 x x))) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) 3) (pow.f64 (.f64 x x) 3)) (/.f64 1 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (+.f64 (.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2)) (.f64 (.f64 x x) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (+.f64 (.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x)) (.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (neg.f64 x))
(fma.f64 1 (log.f64 (pow.f64 x (+.f64 x -1/2))) (neg.f64 x))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 x))

Outputs
(.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x)))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1)))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (*.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) -1/9) (cbrt.f64 (log.f64 x)))))) (.f64 x x) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))) 1))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (+.f64 (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 14) 1/18) (pow.f64 (pow.f64 (log.f64 x) 14) 1/18))) (.f64 -1/9 (cbrt.f64 (log.f64 x))))) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (pow.f64 (log.f64 x) 17) 1/18) (pow.f64 (pow.f64 (log.f64 x) 17) 1/18))) 1/9)) (.f64 x x) (.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (pow.f64 (pow.f64 (log.f64 x) 13) 1/18) (pow.f64 (pow.f64 (log.f64 x) 13) 1/18))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 17)) 1/9))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9)))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 14)) 1/9))))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))))) (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 4/27 (.f64 (pow.f64 1 1/9) (pow.f64 (log.f64 x) 2))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (.f64 1 (pow.f64 (log.f64 x) 7)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (pow.f64 (log.f64 x) 7) 1/3))))) (cbrt.f64 -1/2)))))))))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9))) (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 13)) 1/9)))) x))))
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(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(*.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)))
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(*.f64 -1/2 (log.f64 x))
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(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(.f64 (log.f64 (sqrt.f64 x)) (.f64 2 (+.f64 -1/2 x)))
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(.f64 (+.f64 -1/2 x) (+.f64 (log.f64 (cbrt.f64 (.f64 x x))) (log.f64 (cbrt.f64 x))))
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(.f64 (log.f64 (sqrt.f64 x)) (.f64 2 (+.f64 -1/2 x)))
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(+.f64 (*.f64 0 (+.f64 x -1/2)) (log.f64 (pow.f64 x (+.f64 x -1/2))))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(.f64 (.f64 (+.f64 x -1/2) (cbrt.f64 (log.f64 x))) (cbrt.f64 (pow.f64 (log.f64 x) 2)))
(.f64 (+.f64 -1/2 x) (.f64 (cbrt.f64 (pow.f64 (log.f64 x) 2)) (cbrt.f64 (log.f64 x))))
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(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))))) 2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) 1) (fma.f64 (+.f64 x -1/2) (log.f64 x) x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))) (sqrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x x)) (.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))
(pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 1)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 2)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)) 3)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(pow.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3) 1/3)
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x x)) (neg.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 3) (pow.f64 x 3)) (neg.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) 2) (*.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2) (*.f64 x (fma.f64 (+.f64 -1/2 x) (log.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x (fma.f64 (log.f64 x) (+.f64 -1/2 x) x) (pow.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) 2)))
(sqrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 2))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x) 2))
(fabs.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x))
(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x))))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(cbrt.f64 (pow.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x) 3))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(expm1.f64 (log1p.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(exp.f64 (log.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(log1p.f64 (expm1.f64 (-.f64 (log.f64 (pow.f64 x (+.f64 x -1/2))) x)))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 1 (log.f64 (pow.f64 x (+.f64 x -1/2))) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (sqrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) 2) (cbrt.f64 (log.f64 (pow.f64 x (+.f64 x -1/2)))) (neg.f64 x))
(-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) x)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.6b	(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
	5.6b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 121 to 79 computations (34.7% saved)

series105.0ms (0.5%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
93.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
5.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
1.0ms	z	@	0	(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
1.0ms	y	@	0	(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)

rewrite168.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`associate-*r/`
1070×	`associate-*l/`
730×	`associate-/r*`
600×	`distribute-lft-in`
552×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	363	62
2	4148	62

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

Inputs

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

(cbrt.f64 (/.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 (/.f64 1 x) 83333333333333/1000000000000000) (*.f64 (/.f64 1 x) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 x) (*.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)) (*.f64 (/.f64 1 x) 83333333333333/1000000000000000))))) (#(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 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.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 *.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 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (*.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (pow.f64 (cbrt.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 *.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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (pow.f64 (cbrt.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 *.f64 (pow.f64 (cbrt.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 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 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simplify190.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-r`
1032×	`associate-/l*`
976×	`associate-l`
794×	`*-commutative`
792×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	16429
1	1958	15689

Stop Event

1×	node limit

Counts

227 → 329

Calls

Call 1

Inputs
(.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 x))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1) (neg.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1)
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))

Outputs
(.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (+.f64 (.f64 -13888888888889/7500000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3))) (.f64 -13888888888889/15000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3)))) z))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4))) -13888888888889/5000000000000000) z))
(fma.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4)) -13888888888889/5000000000000000)) z (/.f64 83333333333333/1000000000000000 x))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 192901234567904320987654321/112500000000000000000000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (.f64 192901234567904320987654321/75000000000000000000000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3)))))) (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 x) 1/3) (/.f64 (-.f64 (+.f64 (.f64 7936500793651/10000000000000000 (/.f64 1 x)) (/.f64 y x)) (.f64 192901234567904320987654321/75000000000000000000000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 17)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)) 1/3)))) (cbrt.f64 83333333333333/1000000000000000)))) (.f64 192901234567904320987654321/225000000000000000000000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 14)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4)) 1/3)))) (cbrt.f64 83333333333333/1000000000000000)) (pow.f64 (/.f64 1 x) 1/3))))) (+.f64 (.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 x))) (.f64 (+.f64 (.f64 -13888888888889/7500000000000000 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3))) (.f64 -13888888888889/15000000000000000 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 x 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4) 1/3)))) z)))
(fma.f64 (.f64 z z) (fma.f64 192901234567904320987654321/112500000000000000000000000000000 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000)))) (+.f64 (.f64 1/3 (+.f64 (+.f64 (/.f64 7936500793651/10000000000000000 x) (/.f64 y x)) (.f64 -192901234567904320987654321/75000000000000000000000000000000 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000))))))) (.f64 (fma.f64 2/3 (/.f64 (.f64 (cbrt.f64 x) (+.f64 (+.f64 (/.f64 7936500793651/10000000000000000 x) (/.f64 y x)) (.f64 -192901234567904320987654321/75000000000000000000000000000000 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 83333333333333/1000000000000000))))))) (cbrt.f64 83333333333333/1000000000000000)) (.f64 (.f64 192901234567904320987654321/225000000000000000000000000000000 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 14)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4))))) (.f64 (cbrt.f64 83333333333333/1000000000000000) (cbrt.f64 (/.f64 1 x)))))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 83333333333333/1000000000000000) 4))) -13888888888889/5000000000000000) z)))
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(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 1 (cbrt.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 x))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1) (cbrt.f64 (neg.f64 x)))
(/.f64 (cbrt.f64 (-.f64 -83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1) (neg.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6)) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (/.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2))
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) 1/3)) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (/.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (cbrt.f64 x))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/3)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) 2)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 3)
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(fabs.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1/3))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))
(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 7936500793651/10000000000000000 y) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

eval1.5s (7.3%)

Compiler: Compiled 70600 to 46606 computations (34% saved)

prune992.0ms (4.9%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1860	29	1889
Fresh	24	1	25
Picked	1	0	1
Done	3	1	4
Total	1888	31	1919

Error

0.0b

Counts

1919 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	24.7b	(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 y x) (.f64 z z)))
	13.1b	(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 83333333333333/1000000000000000 x))
	27.8b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.2b	(+.f64 (+.f64 (/.f64 x (/.f64 1 (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	13.2b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	6.1b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	13.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	13.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
	6.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
	13.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (-.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (.f64 x (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
✓	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	3.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (.f64 z z))) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
▶	4.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
▶	1.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (*.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
▶	13.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
	22.9b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3)))
	6.0b	(+.f64 (+.f64 (-.f64 (.f64 (log.f64 x) (+.f64 -1/2 x)) (expm1.f64 (log1p.f64 x))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	38.5b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.2b	(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.1b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	20.6b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	25.0b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
	24.0b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
	14.2b	(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	20.6b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
	14.1b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	19.7b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	47.7b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	39.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 1443 to 1075 computations (25.5% saved)

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	1.0b	(/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))
✓	2.0b	(.f64 (/.f64 z x) (.f64 y z))

Compiler

Compiled 134 to 67 computations (50% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`add-sqr-sqrt`
1808×	`*-un-lft-identity`
1678×	`add-cube-cbrt`
1646×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	2235	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 z x) (.f64 y z))

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate-r`
1504×	`associate-l`
1262×	`associate-+l+`
1186×	`associate-+r+`
652×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	1121
1	158	1121
2	730	1121
3	6296	1121

Stop Event

1×	node limit

Counts

59 → 27

Calls

Call 1

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

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

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)
	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
	5.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 82 to 55 computations (32.9% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`*-commutative`
842×	`associate-*r/`
668×	`associate-*l/`
630×	`unswap-sqr`
500×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	205	15
2	2599	15

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

Inputs
(-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -13888888888889/5000000000000000 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (+.f64 (*.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 z) (+.f64 (*.f64 y z) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 z) (-.f64 (*.f64 y z) 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -13888888888889/5000000000000000 (*.f64 y z)) (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -13888888888889/5000000000000000 (*.f64 7936500793651/10000000000000000 z)) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 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simplify109.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1654×	`times-frac`
1286×	`associate-/l*`
976×	`associate-/r*`
858×	`*-commutative`
670×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	5476
1	636	5064
2	2521	5056

Stop Event

1×	node limit

Counts

108 → 144

Calls

Call 1

Inputs
(-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(*.f64 y z)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(*.f64 y z)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
(-.f64 (+.f64 (.f64 y z) (.f64 7936500793651/10000000000000000 z)) 13888888888889/5000000000000000)
-13888888888889/5000000000000000
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
(*.f64 z (+.f64 7936500793651/10000000000000000 y))
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
(-.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000)
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 4) 37210886297821644947416552369112940100594497789971041/625000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) 3) 7178025906215709938579729459454783080342011742601718723685931269886969108518161/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))) (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 4) (+.f64 37210886297821644947416552369112940100594497789971041/625000000000000000000000000000000000000000000000000000000000000 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z 13888888888889/5000000000000000)) 2))))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) 3) 19231250820408635039441547276533270018439371786994756758580248562305724521757934181338722382336367766290233555513180409/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (/.f64 1 (+.f64 192901234567904320987654321/25000000000000000000000000000000 (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z 13888888888889/5000000000000000)) (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2))))) (+.f64 (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 6) 7178025906215709938579729459454783080342011742601718723685931269886969108518161/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (.f64 2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 3))))
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(/.f64 (/.f64 (+.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 (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 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) 1) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z 13888888888889/5000000000000000)) (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2))))
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(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (.f64 (cbrt.f64 (+.f64 192901234567904320987654321/25000000000000000000000000000000 (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z 13888888888889/5000000000000000)) (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2)))) (cbrt.f64 (+.f64 192901234567904320987654321/25000000000000000000000000000000 (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z 13888888888889/5000000000000000)) (pow.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 2)))))) (cbrt.f64 (+.f64 192901234567904320987654321/25000000000000000000000000000000 (+.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z 13888888888889/5000000000000000)) (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2)))))
(pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 1)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3) 1/3)
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(sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 2))
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(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
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(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
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(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
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Outputs
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(fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)
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(sqrt.f64 (pow.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 2))
(fabs.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(log.f64 (exp.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 3))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(exp.f64 (log.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(fma.f64 1 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(fma.f64 (sqrt.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z)) (sqrt.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z)) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z)) 2) (cbrt.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z)) -13888888888889/5000000000000000)
(fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)

localize26.0ms (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)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.3b	(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)

Compiler

Compiled 61 to 40 computations (34.4% saved)

series20.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
0.0ms	x	@	0	(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) 83333333333333/1000000000000000)

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`add-sqr-sqrt`
1186×	`*-un-lft-identity`
1128×	`pow1`
1112×	`add-cube-cbrt`
1102×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	140	7
2	1547	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-*r/`
1076×	`associate-*l/`
804×	`associate-/l*`
718×	`associate-/r*`
460×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	206
1	96	206
2	289	206
3	1747	200

Stop Event

1×	node limit

Counts

28 → 17

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 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.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)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(log.f64 (exp.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)))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))

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 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 83333333333333/1000000000000000 x)
(/.f64 -83333333333333/1000000000000000 (neg.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 83333333333333/1000000000000000 (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 83333333333333/1000000000000000 x)
(/.f64 (/.f64 83333333333333/1000000000000000 (pow.f64 (cbrt.f64 x) 2)) (cbrt.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)
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(fabs.f64 (/.f64 83333333333333/1000000000000000 x))
(log.f64 (exp.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)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 z (/.f64 x 7936500793651/10000000000000000))
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	6.0b	(/.f64 y (/.f64 x (*.f64 z z)))
	6.1b	(/.f64 x (*.f64 z z))

Compiler

Compiled 132 to 67 computations (49.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`add-sqr-sqrt`
1626×	`*-un-lft-identity`
1536×	`add-cube-cbrt`
1518×	`add-cbrt-cube`
150×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	13
2	2058	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-+l+`
1334×	`associate-*r/`
910×	`associate-*l/`
712×	`associate-+l-`
640×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1051
1	256	1033
2	948	1033
3	5052	1033

Stop Event

1×	node limit

Counts

63 → 48

Calls

Call 1

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

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 x -1/2) (log.f64 x))
✓	0.2b	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)

Compiler

Compiled 79 to 53 computations (32.9% saved)

series42.0ms (0.2%)

Counts

3 → 22

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	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)
0.0ms	x	@	inf	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)
0.0ms	x	@	-inf	(-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x)

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`*-commutative`
906×	`associate-*r/`
742×	`associate-*l/`
678×	`distribute-lft-in`
662×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	262	57
2	3048	57

Stop Event

1×	node limit

Counts

3 → 245

Calls

Call 1

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

Outputs

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

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1248×	`associate-+l-`
1010×	`associate-+r-`
866×	`fma-def`
684×	`associate-/l*`
606×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	14241
1	1483	11777
2	6867	11777

Stop Event

1×	node limit

Counts

267 → 317

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))))
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(log.f64 (/.f64 (pow.f64 x (+.f64 x -1/2)) (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(exp.f64 (log.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))))
(fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))
(fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 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 x))
(fma.f64 1 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 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 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 (.f64 1 (.f64 x (log.f64 x))) (.f64 1 (.f64 -1/2 (log.f64 x))))
(+.f64 (.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
(+.f64 (.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 x -1/2) 0) (.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (.f64 1 (.f64 -1/2 (log.f64 x))) (.f64 1 (.f64 x (log.f64 x))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))
(+.f64 (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))
(+.f64 (.f64 0 (+.f64 x -1/2)) (.f64 (+.f64 x -1/2) (log.f64 x)))
(+.f64 (.f64 (.f64 x (log.f64 x)) 1) (.f64 (.f64 -1/2 (log.f64 x)) 1))
(+.f64 (.f64 (.f64 -1/2 (log.f64 x)) 1) (.f64 (.f64 x (log.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)))) 1)
(/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2)))
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x 1/2) (log.f64 x)))
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.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 -1/8 (pow.f64 x 3))) (+.f64 1/4 (.f64 x (+.f64 x 1/2))))
(/.f64 (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x))) (-.f64 -1/2 x))
(/.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2))
(/.f64 (.f64 (log.f64 x) (+.f64 1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 1 (.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2))
(/.f64 (.f64 1 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(/.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (-.f64 1/4 (.f64 x x)) (log.f64 x)) (-.f64 -1/2 x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (log.f64 x)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (log.f64 x)))) (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (log.f64 x) (fma.f64 x x -1/4)) (.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (.f64 x (+.f64 x 1/2))))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 1)
(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)) 2) 1/2)
(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))))
(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 -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 -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 -1/2 x))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 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 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (*.f64 (-.f64 (log.f64 x) 1) x)))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.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 (+.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 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x))))
(fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 (log.f64 x) (+.f64 -1/2 x) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (log.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(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 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(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 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(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 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.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))
(-.f64 (.f64 (neg.f64 (log.f64 x)) 1/2) (.f64 x (neg.f64 (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))
(-.f64 (.f64 (neg.f64 (log.f64 x)) 1/2) (.f64 x (neg.f64 (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))
(-.f64 (.f64 (neg.f64 (log.f64 x)) 1/2) (.f64 x (neg.f64 (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 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 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 x (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 -1/2 x))
(+.f64 (.f64 1 (.f64 x (log.f64 x))) (.f64 1 (.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 -1/2 x))
(+.f64 (.f64 (+.f64 x -1/2) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
(.f64 (+.f64 -1/2 x) (+.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(.f64 (+.f64 -1/2 x) (.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))) (.f64 (+.f64 x -1/2) (log.f64 (sqrt.f64 x))))
(.f64 2 (.f64 (+.f64 -1/2 x) (log.f64 (sqrt.f64 x))))
(+.f64 (.f64 (+.f64 x -1/2) 0) (.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 -1/2 x))
(+.f64 (.f64 1 (.f64 -1/2 (log.f64 x))) (.f64 1 (.f64 x (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 -1/2 x))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 x -1/2)) (.f64 (log.f64 (cbrt.f64 x)) (+.f64 x -1/2)))
(.f64 (+.f64 -1/2 x) (+.f64 (.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
(.f64 (+.f64 -1/2 x) (.f64 3 (log.f64 (cbrt.f64 x))))
(+.f64 (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))
(.f64 2 (.f64 (+.f64 -1/2 x) (log.f64 (sqrt.f64 x))))
(+.f64 (.f64 0 (+.f64 x -1/2)) (.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 -1/2 x))
(+.f64 (.f64 (.f64 x (log.f64 x)) 1) (.f64 (.f64 -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 -1/2 x))
(+.f64 (.f64 (.f64 -1/2 (log.f64 x)) 1) (.f64 (.f64 x (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 -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 -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 -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 (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 -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 -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)))
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(+.f64 (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)) (.f64 (log.f64 (sqrt.f64 x)) (+.f64 x -1/2)))
(.f64 2 (.f64 (+.f64 -1/2 x) (log.f64 (sqrt.f64 x))))
(+.f64 (.f64 0 (+.f64 x -1/2)) (.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 -1/2 x))
(+.f64 (.f64 (.f64 x (log.f64 x)) 1) (.f64 (.f64 -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 -1/2 x))
(+.f64 (.f64 (.f64 -1/2 (log.f64 x)) 1) (.f64 (.f64 x (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 -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 -1/2 x))
(/.f64 (log.f64 x) (/.f64 1 (+.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 (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 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (+.f64 -1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2))) (log.f64 x)))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (+.f64 1/4 (.f64 x (+.f64 x 1/2))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x))) (-.f64 -1/2 x))
(.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (*.f64 (log.f64 x) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) -1/2))
(/.f64 (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x))) (-.f64 -1/2 x))
(.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (.f64 (log.f64 x) (+.f64 1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (log.f64 x) (/.f64 (+.f64 -1/4 (neg.f64 (*.f64 x (+.f64 x 1/2)))) (-.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (log.f64 x))
(/.f64 (.f64 1 (.f64 (log.f64 x) (fma.f64 x x -1/4))) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 1 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (sqrt.f64 (fma.f64 x x -1/4))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))))
(/.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x)))))
(/.f64 (.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x 1/2)))
(/.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1/2 x)) 2)) (/.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (fma.f64 x x -1/4))))
(/.f64 (.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1/2 x)) 2)) (/.f64 (cbrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 -1/2 x)) 2)) (cbrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (cbrt.f64 (+.f64 -1/8 (pow.f64 x 3))))
(/.f64 (.f64 (-.f64 1/4 (.f64 x x)) (log.f64 x)) (-.f64 -1/2 x))
(/.f64 (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x))) (-.f64 -1/2 x))
(.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) (log.f64 x)) (+.f64 (neg.f64 x) -1/2))
(/.f64 (.f64 (log.f64 x) (-.f64 1/4 (.f64 x x))) (-.f64 -1/2 x))
(.f64 (/.f64 (log.f64 x) (-.f64 -1/2 x)) (-.f64 1/4 (.f64 x x)))
(/.f64 (.f64 (+.f64 1/8 (neg.f64 (pow.f64 x 3))) (log.f64 x)) (neg.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (log.f64 x) (/.f64 (+.f64 -1/4 (neg.f64 (*.f64 x (+.f64 x 1/2)))) (-.f64 1/8 (pow.f64 x 3))))
(*.f64 (/.f64 (-.f64 1/8 (pow.f64 x 3)) (neg.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (log.f64 x))
(/.f64 (.f64 (.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x 1/2))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (sqrt.f64 (fma.f64 x x -1/4))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (/.f64 (sqrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4)) (*.f64 (log.f64 x) (sqrt.f64 (+.f64 -1/2 x)))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1/4)) (.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (log.f64 x)))) (sqrt.f64 (+.f64 x 1/2)))
(/.f64 (sqrt.f64 (fma.f64 x x -1/4)) (/.f64 (sqrt.f64 (+.f64 x 1/2)) (.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (log.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (log.f64 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (log.f64 x)))) (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (log.f64 x))) (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x (+.f64 x 1/2) 1/4))) (.f64 (sqrt.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x))) (sqrt.f64 (log.f64 x))))
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) 1) (+.f64 x 1/2))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (*.f64 (log.f64 x) (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (log.f64 x) (fma.f64 x x -1/4)) (.f64 (cbrt.f64 (+.f64 x 1/2)) (cbrt.f64 (+.f64 x 1/2)))) (cbrt.f64 (+.f64 x 1/2)))
(*.f64 (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)) (log.f64 x))
(*.f64 (log.f64 x) (/.f64 (fma.f64 x x -1/4) (+.f64 x 1/2)))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (.f64 x (+.f64 x 1/2))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(/.f64 (/.f64 (.f64 (log.f64 x) (+.f64 -1/8 (pow.f64 x 3))) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 x (+.f64 x 1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x 1/2)))))
(.f64 (/.f64 (+.f64 -1/8 (pow.f64 x 3)) (+.f64 1/4 (.f64 x (+.f64 x 1/2)))) (log.f64 x))
(*.f64 (/.f64 (log.f64 x) (fma.f64 x (+.f64 x 1/2) 1/4)) (+.f64 -1/8 (pow.f64 x 3)))
(pow.f64 (sqrt.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 -1/2 x))
(pow.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 -1/2 x))
(pow.f64 (cbrt.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 -1/2 x))
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2))
(fabs.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)))
(pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)
(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))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) 2))
(fabs.f64 (*.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 -1/2 x))
(log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))
(log1p.f64 (+.f64 (pow.f64 x (+.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (pow.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 -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 -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 -1/2 x))
(log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))
(log1p.f64 (+.f64 (pow.f64 x (+.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (pow.f64 x (+.f64 -1/2 x))))

eval1.3s (6.4%)

Compiler: Compiled 48765 to 29638 computations (39.2% saved)

prune764.0ms (3.8%)

Pruning

37 alts after pruning (34 fresh and 3 done)

	Pruned	Kept	Total
New	1522	23	1545
Fresh	14	11	25
Picked	0	1	1
Done	3	2	5
Total	1539	37	1576

Error

Counts

1576 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	27.8b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.2b	(+.f64 (+.f64 (/.f64 x (/.f64 1 (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	13.2b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.1b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
▶	13.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	13.2b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3))
	6.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
	13.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (-.f64 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (.f64 x (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
▶	13.1b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
✓	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	6.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x))))
	1.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
▶	1.9b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
	20.2b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
	13.1b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 -1/2 x) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (expm1.f64 (log1p.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	47.8b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.1b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	14.2b	(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	19.7b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	47.7b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	39.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	43.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	44.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	43.6b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
	48.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	53.1b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	57.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
	56.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
▶	48.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	53.1b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
	37.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
	40.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
	48.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	52.2b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	39.1b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))

Compiler

Compiled 1516 to 1121 computations (26.1% saved)

localize92.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.2b	(/.f64 z (/.f64 x 7936500793651/10000000000000000))
	0.3b	(/.f64 83333333333333/1000000000000000 x)
	2.0b	(.f64 (/.f64 z x) (.f64 y z))

Compiler

Compiled 130 to 67 computations (48.5% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 x) 91893853320467/100000000000000)
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	0.3b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
0.0ms	x	@	inf	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
0.0ms	x	@	-inf	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
0.0ms	x	@	inf	(+.f64 (neg.f64 x) 91893853320467/100000000000000)
0.0ms	x	@	-inf	(+.f64 (neg.f64 x) 91893853320467/100000000000000)

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`*-commutative`
874×	`associate-/r*`
868×	`distribute-lft-in`
842×	`distribute-rgt-in`
554×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	231	26
2	3324	26

Stop Event

1×	node limit

Counts

2 → 248

Calls

Call 1

Inputs
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) 91893853320467/100000000000000)

Outputs

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(sqrt.f64 x) (sqrt.f64 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x 91893853320467/100000000000000)))))

simplify268.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1024×	`associate-r`
896×	`distribute-lft-in`
868×	`associate-l`
818×	`distribute-rgt-in`
714×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	12934
1	2026	12644

Stop Event

1×	node limit

Counts

272 → 462

Calls

Call 1

Inputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 x) (.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 x) (.f64 83333333333333/1000000000000000 (/.f64 1 x))))
(*.f64 -1 x)
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 x)))
(*.f64 -1 x)
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 x)))
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 x)))
91893853320467/100000000000000
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(-.f64 91893853320467/100000000000000 (+.f64 x (/.f64 83333333333333/1000000000000000 x)))
(-.f64 91893853320467/100000000000000 (-.f64 x (/.f64 83333333333333/1000000000000000 x)))
(-.f64 91893853320467/100000000000000 (-.f64 x (neg.f64 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (/.f64 83333333333333/1000000000000000 x) -1)))
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))
(-.f64 91893853320467/100000000000000 (-.f64 x (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (neg.f64 (/.f64 1 x)) 83333333333333/1000000000000000 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (+.f64 x 91893853320467/100000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (neg.f64 (/.f64 83333333333333/1000000000000000 x)) 1 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (+.f64 x 91893853320467/100000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (+.f64 x 91893853320467/100000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) x)
(-.f64 0 (-.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000))
(-.f64 0 (-.f64 x (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (-.f64 (+.f64 x -91893853320467/100000000000000) (neg.f64 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (-.f64 (+.f64 x -91893853320467/100000000000000) (*.f64 (/.f64 83333333333333/1000000000000000 x) -1)))
(-.f64 0 (-.f64 (+.f64 x -91893853320467/100000000000000) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))))))
(-.f64 0 (-.f64 (+.f64 x -91893853320467/100000000000000) (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))))
(-.f64 0 (-.f64 (-.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000) (fma.f64 (neg.f64 (/.f64 1 x)) 83333333333333/1000000000000000 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (-.f64 (-.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000) (fma.f64 (neg.f64 (/.f64 83333333333333/1000000000000000 x)) 1 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (-.f64 (-.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (-.f64 (-.f64 (-.f64 x (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 83333333333333/1000000000000000 x))))
(-.f64 0 (+.f64 (+.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 191893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) 1)
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 191893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 1 x)) 83333333333333/1000000000000000 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 191893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (-.f64 1 (fma.f64 (neg.f64 (/.f64 83333333333333/1000000000000000 x)) 1 (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 191893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x))))
(-.f64 (exp.f64 (log.f64 (+.f64 (+.f64 191893853320467/100000000000000 x) (/.f64 83333333333333/1000000000000000 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 83333333333333/1000000000000000 x))))
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(/.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 91893853320467/100000000000000)) 2)) (cbrt.f64 (+.f64 x 91893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x x)) (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (/.f64 1 (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 x x)) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 x (+.f64 x 91893853320467/100000000000000)))))
(pow.f64 (+.f64 x 91893853320467/100000000000000) 1)
(pow.f64 (sqrt.f64 (+.f64 x 91893853320467/100000000000000)) 2)
(pow.f64 (cbrt.f64 (+.f64 x 91893853320467/100000000000000)) 3)
(pow.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 2))
(log.f64 (exp.f64 (+.f64 x 91893853320467/100000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 91893853320467/100000000000000))))
(cbrt.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 3))
(expm1.f64 (log1p.f64 (+.f64 x 91893853320467/100000000000000)))
(exp.f64 (log.f64 (+.f64 x 91893853320467/100000000000000)))
(log1p.f64 (expm1.f64 (+.f64 x 91893853320467/100000000000000)))
(fma.f64 1 x 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 91893853320467/100000000000000)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 91893853320467/100000000000000)
(fma.f64 -1 x 91893853320467/100000000000000)

Outputs
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
(*.f64 -1 x)
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(+.f64 91893853320467/100000000000000 (*.f64 -1 x))
(-.f64 91893853320467/100000000000000 x)
(+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (+.f64 91893853320467/100000000000000 (.f64 -1 x)))
(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
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(-.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 x -91893853320467/100000000000000))
91893853320467/100000000000000
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(*.f64 -1 x)
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(/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x x)) (/.f64 (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000) (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 x x)) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 x (+.f64 x 91893853320467/100000000000000)))))
(.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (.f64 x (+.f64 x 91893853320467/100000000000000))) (/.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (*.f64 x x)) (+.f64 (pow.f64 x 3) 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000)))
(pow.f64 (+.f64 x 91893853320467/100000000000000) 1)
(+.f64 x 91893853320467/100000000000000)
(pow.f64 (sqrt.f64 (+.f64 x 91893853320467/100000000000000)) 2)
(+.f64 x 91893853320467/100000000000000)
(pow.f64 (cbrt.f64 (+.f64 x 91893853320467/100000000000000)) 3)
(+.f64 x 91893853320467/100000000000000)
(pow.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 3) 1/3)
(+.f64 x 91893853320467/100000000000000)
(sqrt.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 2))
(log.f64 (exp.f64 (+.f64 x 91893853320467/100000000000000)))
(+.f64 x 91893853320467/100000000000000)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x 91893853320467/100000000000000))))
(+.f64 x 91893853320467/100000000000000)
(cbrt.f64 (pow.f64 (+.f64 x 91893853320467/100000000000000) 3))
(+.f64 x 91893853320467/100000000000000)
(expm1.f64 (log1p.f64 (+.f64 x 91893853320467/100000000000000)))
(+.f64 x 91893853320467/100000000000000)
(exp.f64 (log.f64 (+.f64 x 91893853320467/100000000000000)))
(+.f64 x 91893853320467/100000000000000)
(log1p.f64 (expm1.f64 (+.f64 x 91893853320467/100000000000000)))
(+.f64 x 91893853320467/100000000000000)
(fma.f64 1 x 91893853320467/100000000000000)
(+.f64 x 91893853320467/100000000000000)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 91893853320467/100000000000000)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 91893853320467/100000000000000)
(fma.f64 -1 x 91893853320467/100000000000000)
(-.f64 91893853320467/100000000000000 x)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	0.1b	(.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
✓	0.1b	(*.f64 7936500793651/10000000000000000 z)
✓	3.6b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 66 to 47 computations (28.8% saved)

series41.0ms (0.2%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
35.0ms	z	@	inf	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
2.0ms	z	@	-inf	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
1.0ms	x	@	0	(/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
0.0ms	z	@	-inf	(*.f64 7936500793651/10000000000000000 z)
0.0ms	x	@	-inf	(/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

rewrite195.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`associate-/r*`
408×	`add-sqr-sqrt`
384×	`add-exp-log`
384×	`pow1`
384×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	396	80
2	5584	80

Stop Event

1×	node limit

Counts

4 → 218

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)
(*.f64 7936500793651/10000000000000000 z)
(.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (.f64 (sqrt.f64 (fma.f64 z (fma.f64 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 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z 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(cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 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 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 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 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 7936500793651/10000000000000000 z 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 7936500793651/10000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 7936500793651/10000000000000000 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 7936500793651/10000000000000000 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 7936500793651/10000000000000000 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 7936500793651/10000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 7936500793651/10000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 7936500793651/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 7936500793651/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 7936500793651/10000000000000000 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 7936500793651/10000000000000000 z)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 7936500793651/10000000000000000 z) z) (.f64 -13888888888889/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 7936500793651/10000000000000000 z)) (.f64 z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -13888888888889/5000000000000000) (.f64 z (.f64 7936500793651/10000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -13888888888889/5000000000000000 z) (.f64 (.f64 7936500793651/10000000000000000 z) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (+.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 z z)) -192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 7936500793651/10000000000000000 z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (+.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (+.f64 (.f64 z 110229177689598104055643739/50000000000000000000000000000000) (+.f64 192901234567904320987654321/25000000000000000000000000000000 (.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 62988044847622952881909801/100000000000000000000000000000000 (.f64 z z)) -192901234567904320987654321/25000000000000000000000000000000) z) (fma.f64 7936500793651/10000000000000000 z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 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simplify289.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-+r-`
1072×	`associate-+l-`
776×	`fma-def`
552×	`+-commutative`
418×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	14012
1	1573	12780
2	6866	12776

Stop Event

1×	node limit

Counts

278 → 352

Calls

Call 1

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.3b	(/.f64 1 (/.f64 x 83333333333333/1000000000000000))
✓	0.3b	(/.f64 x 83333333333333/1000000000000000)

Compiler

Compiled 61 to 40 computations (34.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`add-sqr-sqrt`
1298×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1218×	`add-cbrt-cube`
1204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	14
2	1726	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(/.f64 x 83333333333333/1000000000000000)
(/.f64 1 (/.f64 x 83333333333333/1000000000000000))

Outputs

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

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

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1738×	`associate-+r+`
1580×	`associate-+l+`
758×	`unswap-sqr`
648×	`times-frac`
586×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	500
1	221	500
2	1039	494
3	5195	494

Stop Event

1×	node limit

Counts

70 → 49

Calls

Call 1

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

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

localize28.0ms (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)
	0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.2b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.3b	(pow.f64 (*.f64 x 1000000000000000/83333333333333) -1)

Compiler

Compiled 61 to 40 computations (34.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	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)

rewrite70.0ms (0.3%)

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 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(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 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 (/.f64 83333333333333/1000000000000000 x)) (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 (/.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 log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1512×	`associate-+l-`
1296×	`associate-+r-`
928×	`associate-/l*`
868×	`unswap-sqr`
712×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	265
1	117	265
2	317	265
3	1277	265
4	6061	265

Stop Event

1×	node limit

Counts

35 → 23

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 (/.f64 83333333333333/1000000000000000 x)) 1)
(*.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 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 (/.f64 83333333333333/1000000000000000 x)) (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 (/.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)))
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))

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 (/.f64 83333333333333/1000000000000000 x)) 1)
(/.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 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 (/.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 (/.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)
(log1p.f64 (expm1.f64 (/.f64 83333333333333/1000000000000000 x)))
(/.f64 83333333333333/1000000000000000 x)

eval755.0ms (3.7%)

Compiler: Compiled 40855 to 26971 computations (34% saved)

prune483.0ms (2.4%)

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1534	23	1557
Fresh	10	19	29
Picked	1	0	1
Done	3	4	7
Total	1548	46	1594

Error

Counts

1594 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	47.1b	(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
	42.8b	(/.f64 (-.f64 (.f64 (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000) x) (.f64 (+.f64 x -91893853320467/100000000000000) (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))))) (.f64 (+.f64 x -91893853320467/100000000000000) x))
	47.1b	(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
	43.5b	(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
	47.4b	(/.f64 83333333333333/1000000000000000 x)
	43.5b	(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
	58.5b	(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	47.7b	(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	43.5b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
	41.4b	(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
	46.8b	(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
	43.5b	(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	27.8b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 (log.f64 x) -1))) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	7.2b	(+.f64 (+.f64 (/.f64 x (/.f64 1 (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	13.2b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.1b	(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
✓	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.1b	(+.f64 (+.f64 (-.f64 (.f64 (+.f64 -1/2 x) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	13.0b	(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 x) (+.f64 -1/2 x)) (expm1.f64 (log1p.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.2b	(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	47.8b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	14.2b	(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	19.7b	(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
	47.7b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	35.6b	(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
	48.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
✓	39.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	43.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
✓	44.0b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	43.6b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
	44.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
	48.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	53.1b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
	57.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
	57.5b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
	56.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
	53.1b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
	40.3b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
	52.2b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
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	58.4b	(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
	43.5b	(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
	42.5b	(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	46.8b	(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
	63.3b	(neg.f64 x)

Compiler

Compiled 812 to 611 computations (24.8% saved)

regimes343.0ms (1.7%)

Counts

107 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
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(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
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(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
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(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
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(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
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(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
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(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
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(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x))))
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(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 y x) (.f64 z z)))
(/.f64 (-.f64 (.f64 (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000) x) (.f64 (+.f64 x -91893853320467/100000000000000) (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))))) (.f64 (+.f64 x -91893853320467/100000000000000) x))
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(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 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 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 (log.f64 x) -1))) 2) 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 -1/2 x)) (expm1.f64 (log1p.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 1 x) (/.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))
(+.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 (pow.f64 (cbrt.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 (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 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 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 (neg.f64 x) 91893853320467/100000000000000) (*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1))
(+.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 3) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (pow.f64 (sqrt.f64 (+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 91893853320467/100000000000000)) 2) (/.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 y (/.f64 x (.f64 z z))) (+.f64 (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (/.f64 1 (/.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (-.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2) (.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 (.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 6944444444444388888888888889/1000000000000000000000000000000) (.f64 x (-.f64 (.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 x -1/2))) (-.f64 (exp.f64 (log1p.f64 x)) 1)) (/.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 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 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))
(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 (+.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 x)) (-.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.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 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x)))

Outputs

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

Calls

7 calls:

53.0ms	y
49.0ms	z
49.0ms	(+.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))
48.0ms	x
47.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`z`
1.3b	1	`(+.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))`
1.3b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.3b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2181 to 1359 computations (37.7% saved)

regimes232.0ms (1.1%)

Counts

73 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
(+.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 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 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 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 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.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 x (/.f64 1 (+.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 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.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 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 -1/2 x) (.f64 3 (log.f64 (cbrt.f64 x)))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (-.f64 91893853320467/100000000000000 x)) (.f64 (/.f64 y x) (.f64 z z)))
(/.f64 (-.f64 (.f64 (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000) x) (.f64 (+.f64 x -91893853320467/100000000000000) (-.f64 -83333333333333/1000000000000000 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))))) (.f64 (+.f64 x -91893853320467/100000000000000) 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))

Outputs

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

Calls

7 calls:

37.0ms	y
34.0ms	x
34.0ms	z
33.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
32.0ms	(+.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
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`(+.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))`
1.9b	1	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
1.9b	1	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1307 to 798 computations (38.9% saved)

regimes482.0ms (2.4%)

Counts

63 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
(+.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 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 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 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 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.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 x (/.f64 1 (+.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 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.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 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x))))

Outputs

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

Calls

7 calls:

86.0ms	y
83.0ms	z
83.0ms	(+.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))
76.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
56.0ms	x

Results

Error	Segments	Branch
2.8b	2	`x`
3.3b	3	`y`
3.0b	3	`z`
2.3b	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))`
2.3b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
2.3b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
3.3b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1083 to 669 computations (38.2% saved)

bsearch2.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.203192847280691e+253	1.0184640728065225e+265
0.0ms	-inf	-4.469043436964783e+269

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes492.0ms (2.4%)

Counts

62 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
(+.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 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 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 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 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.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 x (/.f64 1 (+.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 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (.f64 z z) (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 y (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) 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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

7 calls:

88.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
84.0ms	(+.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))
83.0ms	z
82.0ms	x
78.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
2.1b	3	`x`
6.1b	1	`y`
3.0b	3	`z`
2.7b	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))`
2.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
2.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
6.1b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 1055 to 655 computations (37.9% saved)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	3.2375517694427283e+199	1.0439116241251557e+200
17.0ms	492758302539.77985	1190359622476.2615

Results

25.0ms	144×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 435 to 326 computations (25.1% saved)

regimes407.0ms (2%)

Counts

55 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
(+.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 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 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 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 83333333333333/1000000000000000 (/.f64 1 x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.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 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

6 calls:

118.0ms	z
100.0ms	x
95.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
32.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
27.0ms	y

Results

Error	Segments	Branch
2.4b	3	`x`
7.2b	1	`y`
3.6b	5	`z`
3.4b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
3.4b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
7.2b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 852 to 530 computations (37.8% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	3.2375517694427283e+199	1.0439116241251557e+200
23.0ms	5.049444007451452e-7	0.000158040232638103

Results

34.0ms	208×	body	256	valid
1.0ms	7×	body	256	infinite

Compiler

Compiled 617 to 463 computations (25% saved)

regimes428.0ms (2.1%)

Counts

49 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))
(+.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 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 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 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

6 calls:

112.0ms	z
90.0ms	y
72.0ms	x
64.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
51.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
2.7b	3	`x`
10.3b	3	`y`
4.5b	4	`z`
4.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
4.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 724 to 453 computations (37.4% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
5.0ms	3.2375517694427283e+199	1.0439116241251557e+200
24.0ms	5.049444007451452e-7	0.000158040232638103

Results

23.0ms	160×	body	256	valid
3.0ms	18×	body	256	infinite

Compiler

Compiled 477 to 363 computations (23.9% saved)

regimes380.0ms (1.9%)

Counts

47 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 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 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(/.f64 (-.f64 (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000)) (+.f64 (.f64 -83333333333333/1000000000000000 x) 7657821110038886035382226511/100000000000000000000000000000)) (*.f64 x (+.f64 x -91893853320467/100000000000000)))
(/.f64 (/.f64 (+.f64 (+.f64 (.f64 83333333333333/1000000000000000 x) -7657821110038886035382226511/100000000000000000000000000000) (.f64 x (fma.f64 x x -8444480278083503881401098089/10000000000000000000000000000))) x) (+.f64 x -91893853320467/100000000000000))

Outputs

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

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

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

6 calls:

97.0ms	z
82.0ms	y
61.0ms	x
58.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
45.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
3.2b	3	`x`
10.3b	3	`y`
4.5b	4	`z`
4.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
4.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 684 to 426 computations (37.7% saved)

bsearch26.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	3.2375517694427283e+199	1.0439116241251557e+200
23.0ms	5.049444007451452e-7	0.000158040232638103

Results

21.0ms	144×	body	256	valid
1.0ms	8×	body	256	infinite

Compiler

Compiled 423 to 318 computations (24.8% saved)

regimes626.0ms (3.1%)

Counts

41 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 1 x) 83333333333333/1000000000000000))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 1 x) 1000000000000000/83333333333333))
(+.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (/.f64 1 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

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

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

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

6 calls:

228.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
109.0ms	z
101.0ms	y
75.0ms	x
59.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
5.1b	3	`x`
10.5b	3	`y`
8.8b	4	`z`
7.5b	5	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
7.5b	5	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.5b	3	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 576 to 369 computations (35.9% saved)

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.2375517694427283e+199	1.0439116241251557e+200
28.0ms	0.000158040232638103	1014.5321267984037

Results

32.0ms	224×	body	256	valid
3.0ms	14×	body	256	infinite

Compiler

Compiled 591 to 439 computations (25.7% saved)

regimes383.0ms (1.9%)

Counts

34 → 2

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 (/.f64 (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) x) z)))

Outputs

(+.f64 (+.f64 (neg.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 83333333333333/1000000000000000 x))

Calls

6 calls:

150.0ms	z
100.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
62.0ms	x
28.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
20.0ms	y

Results

Error	Segments	Branch
8.1b	2	`x`
13.0b	1	`y`
9.4b	5	`z`
9.9b	5	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
9.9b	5	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
13.0b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 464 to 302 computations (34.9% saved)

bsearch25.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	1.019482282905816e-21	3.1495888957642867e-19

Results

20.0ms	128×	body	256	valid
2.0ms	15×	body	256	infinite

Compiler

Compiled 353 to 273 computations (22.7% saved)

regimes378.0ms (1.9%)

Counts

32 → 2

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 x (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

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

(+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

6 calls:

139.0ms	z
67.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
54.0ms	(+.f64 y 7936500793651/10000000000000000)
47.0ms	y
33.0ms	x

Results

Error	Segments	Branch
8.5b	2	`x`
14.2b	1	`y`
10.5b	5	`z`
11.1b	5	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
11.1b	5	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
14.2b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 436 to 283 computations (35.1% saved)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	9.790408602347618e+19	9.983137933249382e+21

Results

16.0ms	112×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 299 to 235 computations (21.4% saved)

regimes283.0ms (1.4%)

Counts

29 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 z (.f64 z 7936500793651/10000000000000000)) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (.f64 z y) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (-.f64 (*.f64 (/.f64 x (+.f64 x -91893853320467/100000000000000)) x) (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000))))
(-.f64 (/.f64 x (/.f64 (+.f64 x -91893853320467/100000000000000) x)) (-.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (+.f64 x -91893853320467/100000000000000)) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (+.f64 (/.f64 (.f64 -13888888888889/5000000000000000 z) x) (/.f64 (.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))))
(+.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 71309247166941251043263020538417026139347246494999451921/100000000000000000000000000000000000000000000000000000000) (.f64 (+.f64 x -91893853320467/100000000000000) (+.f64 (*.f64 x x) 8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Outputs

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))

(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (*.f64 (/.f64 (*.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))

Calls

6 calls:

76.0ms	z
70.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
63.0ms	x
21.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
15.0ms	y

Results

Error	Segments	Branch
35.7b	2	`x`
39.0b	1	`y`
35.9b	3	`z`
35.2b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
35.2b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
39.0b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 400 to 260 computations (35% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	7.033555204158829	7.246892599598477
0.0ms	-61137490745.80182	-5.759407163591326e-5

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes117.0ms (0.6%)

Counts

14 → 3

Calls

Call 1

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

Outputs

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))

(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z z) (/.f64 x y)))

Calls

3 calls:

46.0ms	z
43.0ms	y
25.0ms	x

Results

Error	Segments	Branch
41.9b	3	`x`
42.2b	3	`y`
39.2b	3	`z`

Compiler

Compiled 132 to 86 computations (34.8% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	0.020858169457951384	22.671870369347637
26.0ms	-8.281671241507925e+38	-2.7717295489159375e+36

Results

61.0ms	256×	body	256	valid
3.0ms	17×	body	256	infinite

Compiler

Compiled 465 to 353 computations (24.1% saved)

regimes168.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))

Outputs

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 x z)))

(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))

Calls

3 calls:

62.0ms	x
59.0ms	z
44.0ms	y

Results

Error	Segments	Branch
42.0b	3	`x`
42.2b	3	`y`
39.2b	3	`z`

Compiler

Compiled 108 to 73 computations (32.4% saved)

bsearch76.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	0.020858169457951384	22.671870369347637
27.0ms	-8.281671241507925e+38	-2.7717295489159375e+36

Results

67.0ms	256×	body	256	valid
4.0ms	28×	body	256	infinite

Compiler

Compiled 465 to 353 computations (24.1% saved)

regimes107.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))

Outputs

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (*.f64 7936500793651/10000000000000000 (/.f64 (*.f64 z z) x)))

(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))

Calls

3 calls:

54.0ms	z
27.0ms	x
22.0ms	y

Results

Error	Segments	Branch
42.0b	3	`x`
42.2b	3	`y`
40.1b	3	`z`

Compiler

Compiled 96 to 66 computations (31.3% saved)

bsearch49.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.020858169457951384	22.671870369347637
27.0ms	-8.281671241507925e+38	-2.7717295489159375e+36

Results

40.0ms	256×	body	256	valid
5.0ms	32×	body	256	infinite

Compiler

Compiled 465 to 353 computations (24.1% saved)

regimes43.0ms (0.2%)

Counts

10 → 4

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))

Outputs
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))

Calls

3 calls:

26.0ms	z
7.0ms	y
6.0ms	x

Results

Error	Segments	Branch
43.5b	1	`x`
43.5b	1	`y`
40.7b	4	`z`

Compiler

Compiled 84 to 61 computations (27.4% saved)

bsearch152.0ms (0.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
103.0ms	1.003462518686911e+144	3.7761900043045374e+166
23.0ms	0.020858169457951384	22.671870369347637
25.0ms	-8.281671241507925e+38	-2.7717295489159375e+36

Results

107.0ms	432×	body	256	valid
36.0ms	245×	body	256	infinite

Compiler

Compiled 762 to 592 computations (22.3% saved)

regimes24.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(-.f64 (+.f64 x 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(/.f64 1 (/.f64 1 (+.f64 x (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))

Outputs
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Calls

3 calls:

8.0ms	z
6.0ms	x
6.0ms	y

Results

Error	Segments	Branch
43.5b	1	`x`
43.5b	1	`y`
43.5b	1	`z`

Compiler

Compiled 72 to 54 computations (25% saved)

regimes19.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))

Outputs
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))

Calls

3 calls:

7.0ms	x
5.0ms	z
4.0ms	y

Results

Error	Segments	Branch
43.5b	1	`x`
43.5b	1	`y`
43.5b	1	`z`

Compiler

Compiled 39 to 30 computations (23.1% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Outputs
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))

Calls

3 calls:

5.0ms	y
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
46.8b	1	`x`
46.8b	1	`y`
46.8b	1	`z`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes13.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)

Outputs
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)

Calls

3 calls:

4.0ms	y
4.0ms	z
3.0ms	x

Results

Error	Segments	Branch
46.8b	1	`x`
46.8b	1	`y`
46.8b	1	`z`

Compiler

Compiled 25 to 19 computations (24% saved)

regimes49.0ms (0.2%)

Accuracy

Total -16.0b remaining (-33.9%)

Threshold costs -16.0b (-33.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(/.f64 83333333333333/1000000000000000 x)

Outputs
(/.f64 83333333333333/1000000000000000 x)

Calls

3 calls:

42.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
47.4b	1	`x`
47.4b	1	`y`
47.4b	1	`z`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

76×	`+-commutative`
28×	`*-commutative`
10×	`sub-neg`
4×	`if-if-or-not`
2×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	2103
1	224	2051
2	231	2051
3	232	2051

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (*.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -inf.0) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448) (+.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 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))))
(if (<=.f64 x 1150000000000) (+.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 x 60000000000000001583270486777931131181834718463100632498341004023212417537774929803100586152278104651456521947051757725800990152598573589001738785605670258943542018746233041527229221330216879115993088) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 5718490662849961/36893488147419103232) (+.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 52000000000000002505262139883310124228711596646620286468360854637785531358219100656881435701792475208142323853267332789324761036244632609874209534517356335158045704282121653470438702935026829168214016) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 5718490662849961/36893488147419103232) (+.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 99999999999999996973312221251036165947450327545502362648241750950346848435554075534196338404706251868027512415973882408182135734368278484639385041047239877871023591066789981811181813306167128854888448) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 5718490662849961/36893488147419103232) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 x 49999999999999998486656110625518082973725163772751181324120875475173424217777037767098169202353125934013756207986941204091067867184139242319692520523619938935511795533394990905590906653083564427444224) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 18) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (if (<=.f64 x 44999999999999996938348922549311558869670386427576455737010811201153927557778091749096960727390636575292373338454532943236106724476922068978669387982594778931496683926975965594771749314516907083169792) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z)))) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 3219224052291593/10384593717069655257060992658440192) (+.f64 (+.f64 (neg.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 83333333333333/1000000000000000 x)))
(if (<=.f64 x 100000000000000000000) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -50000000000) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 8106479329266893/1125899906842624) (+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y)))))
(if (<=.f64 z -4200000000000000089622305417069592576) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (.f64 z 7936500793651/10000000000000000) (/.f64 x z))) (if (<=.f64 z 3/4) (+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (.f64 z z) (/.f64 x y)))))
(if (<=.f64 z -3099999999999999939657837492876345344) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 (.f64 z 7936500793651/10000000000000000) (/.f64 x z))) (if (<=.f64 z 4165829655317709/281474976710656) (+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (.f64 z z))))))
(if (<=.f64 z -4200000000000000089622305417069592576) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))) (if (<=.f64 z 8782019273372467/562949953421312) (+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (/.f64 y (/.f64 x (*.f64 z z))))))
(if (<=.f64 z -3750000000000000269757854594824667136) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))) (if (<=.f64 z 45/2) (+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 z 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 (+.f64 (neg.f64 x) 91893853320467/100000000000000) (.f64 7936500793651/10000000000000000 (/.f64 (.f64 z z) x))) (+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))))
(+.f64 (-.f64 x -91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 x (+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)
(/.f64 83333333333333/1000000000000000 x)
(neg.f64 x)

Outputs
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (*.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (*.f64 z y)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 z y)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (/.f64 z (/.f64 x 7936500793651/10000000000000000))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -inf.0) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 -13888888888889/5000000000000000 z) x)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448) (+.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 (/.f64 z x) (.f64 y z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (*.f64 -13888888888889/5000000000000000 z) x))))))
(if (or (<=.f64 (.f64 z (+.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) -inf.0) (not (<=.f64 (.f64 z (+.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000)) 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448))) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 z y)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z -13888888888889/5000000000000000) x)))) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 z (+.f64 (*.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x)))
(if (or (<=.f64 (.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 y 7936500793651/10000000000000000)))) -inf.0) (not (<=.f64 (.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 y 7936500793651/10000000000000000)))) 19999999999999998727174138755351835472851414655140147129678881446716312556105415097786773989173895155962070365218811384910301328330628671487544524818840011120363439405442477136257724874807996552707663947841326301554871916587599432482335939388098056552448))) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (.f64 (/.f64 z x) (.f64 z y)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 z -13888888888889/5000000000000000) x)))) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 z (+.f64 -13888888888889/5000000000000000 (*.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)))
(if (<=.f64 x 1150000000000) (+.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 x 60000000000000001583270486777931131181834718463100632498341004023212417537774929803100586152278104651456521947051757725800990152598573589001738785605670258943542018746233041527229221330216879115993088) (+.f64 (+.f64 (.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (.f64 (/.f64 (.f64 z z) x) (+.f64 7936500793651/10000000000000000 y))) (+.f64 (+.f64 (*.f64 x (+.f64 (log.f64 x) -1)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))))
(if (<=.f64 x 1150000000000) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 z (+.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) -13888888888889/5000000000000000))) x)) (if (<=.f64 x 60000000000000001583270486777931131181834718463100632498341004023212417537774929803100586152278104651456521947051757725800990152598573589001738785605670258943542018746233041527229221330216879115993088) (+.f64 (+.f64 91893853320467/100000000000000 (.f64 x (+.f64 (log.f64 x) -1))) (.f64 (/.f64 (.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))))
(if (<=.f64 x 1150000000000) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 y 7936500793651/10000000000000000))))) x)) (if (<=.f64 x 60000000000000001583270486777931131181834718463100632498341004023212417537774929803100586152278104651456521947051757725800990152598573589001738785605670258943542018746233041527229221330216879115993088) (+.f64 (+.f64 91893853320467/100000000000000 (.f64 x (+.f64 (log.f64 x) -1))) (.f64 (/.f64 (.f64 z z) x) (+.f64 y 7936500793651/10000000000000000))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 91893853320467/100000000000000 (*.f64 x (+.f64 (log.f64 x) -1))))))
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(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
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(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
(neg.f64 x)

Compiler

Compiled 792 to 558 computations (29.5% saved)

soundness91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`associate-+l-`
1376×	`associate-+r-`
872×	`associate--r+`
682×	`associate--l+`
632×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	10494
1	1142	9342
2	4655	9340

Stop Event

1×	node limit

Compiler

Compiled 266 to 156 computations (41.4% saved)

end392.0ms (1.9%)

Compiler: Compiled 732 to 462 computations (36.9% saved)