Details

analyze261.0ms (0.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
9.4%	47.2%	43.4%	10
15.2%	34.5%	50.3%	11
17.6%	31.1%	51.3%	12

Compiler

Compiled 28 to 21 computations (25% saved)

sample2.8s (9.6%)

Results

1.9s	8256×	body	256	valid
868.0ms	3452×	body	256	invalid

preprocess75.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

872×	`fma-def_binary64`
778×	`sub-neg_binary64`
536×	`fma-neg_binary64`
462×	`cancel-sign-sub-inv_binary64`
410×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	128
1	118	128
2	307	124
3	1007	120
4	2382	120
5	4750	120
6	7422	120
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 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000) x)))
(+.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 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 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 91893853320467/100000000000000 (-.f64 (*.f64 (+.f64 y -1/2) (log.f64 y)) y)) (/.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 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 y -1/2) (log.f64 y) (/.f64 (fma.f64 z (fma.f64 z (+.f64 x 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) y)) 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 (*.f64 (+.f64 z -1/2) (log.f64 z)) z) (+.f64 91893853320467/100000000000000 (/.f64 (fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) x -13888888888889/5000000000000000) x 83333333333333/1000000000000000) z)))
(+.f64 (fma.f64 (+.f64 z -1/2) (log.f64 z) (neg.f64 z)) (+.f64 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 (fma.f64 (+.f64 z -1/2) (log.f64 z) (-.f64 91893853320467/100000000000000 z)) (/.f64 (fma.f64 x (fma.f64 x (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 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))
(+.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 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x) (+.f64 91893853320467/100000000000000 (/.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 91893853320467/100000000000000 (-.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (/.f64 (fma.f64 y (fma.f64 y (+.f64 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 y (fma.f64 y (+.f64 7936500793651/10000000000000000 z) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

729×	`associate-/l*_binary64`
688×	`fma-def_binary64`
568×	`fma-neg_binary64`
439×	`div-sub_binary64`
435×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	298	30
4	672	30
5	1488	30
6	2883	30
7	4996	30
8	6404	30

Stop Event

1×	node limit

Counts

1 → 2

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

eval1.0ms (0%)

Compiler: Compiled 48 to 33 computations (31.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

4.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.3b	(+.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)))
▶	4.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Status

Error

Program

▶

4.3b

(+.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)))

▶

4.3b

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

Compiler

Compiled 51 to 37 computations (27.5% saved)

localize64.0ms (0.2%)

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)
✓	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	4.0b	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

Compiler

Compiled 92 to 57 computations (38% saved)

series45.0ms (0.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
5.0ms	x	@	-inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
3.0ms	x	@	inf	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
3.0ms	z	@	inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
2.0ms	y	@	-inf	(/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

685×	`log-prod_binary64`
294×	`pow1/3_binary64`
294×	`expm1-udef_binary64`
294×	`log1p-udef_binary64`
269×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	328	45
2	4106	45

Stop Event

1×	node limit

Counts

4 → 119

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) 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(log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) 2) (cbrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) (sqrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 z (+.f64 y 7936500793651/10000000000000000)) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) (fma.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000)) 1))))))

simplify220.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary64`
592×	`fma-def_binary64`
527×	`associate-/l*_binary64`
310×	`distribute-rgt-out_binary64`
306×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	1449
1	203	1310
2	440	1280
3	1086	1206
4	3539	1118

Stop Event

1×	node limit

Counts

215 → 170

Calls

Call 1

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

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

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
✓	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	4.0b	(/.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)

series10.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite300.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`fma-neg_binary64`
427×	`expm1-udef_binary64`
427×	`log1p-udef_binary64`
243×	`add-sqr-sqrt_binary64`
230×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	474	51
2	6445	51

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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 -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 (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 (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 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 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (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))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (cbrt.f64 (.f64 x x))) (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 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 1))))))
((#(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 (log.f64 x) x) (.f64 (log.f64 x) -1/2))))) (#(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 (+.f64 (pow.f64 x 3) -1/8) (log.f64 x)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x) (+.f64 (pow.f64 x 3) -1/8)) (fma.f64 x x (+.f64 1/4 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 x) (fma.f64 x x -1/4)) (+.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 x (+.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 x -1/2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 1))))))
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 x) (+.f64 x -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1/2) 2)) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) (.f64 (sqrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 x)) (.f64 (sqrt.f64 (log.f64 x)) (+.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 x) (cbrt.f64 (pow.f64 (+.f64 x -1/2) 2))) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 x))))))

simplify247.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

444×	`associate-/l/_binary64`
432×	`distribute-rgt-out_binary64`
366×	`associate-/r/_binary64`
338×	`distribute-rgt-in_binary64`
276×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1254
1	225	1155
2	549	1086
3	1597	972
4	4534	972

Stop Event

1×	node limit

Counts

224 → 191

Calls

Call 1

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

Outputs
(/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x)
(/.f64 (+.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))) x)
(/.f64 (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)
(+.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 (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (.f64 (/.f64 y x) (.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 z (/.f64 x (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))))
(fma.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(+.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 (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (.f64 (/.f64 y x) (.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 z (/.f64 x (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))))
(fma.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(+.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 (/.f64 x (*.f64 z z))) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (/.f64 x z))))
(+.f64 (.f64 (/.f64 y x) (.f64 z z)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 z (/.f64 x (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))))
(fma.f64 (/.f64 (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) x) z (fma.f64 (/.f64 y x) (*.f64 z z) (/.f64 83333333333333/1000000000000000 x)))
(+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 (.f64 z z) (/.f64 y x))
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(fma.f64 x (+.f64 (log.f64 x) -1) (*.f64 -1/2 (log.f64 x)))
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eval339.0ms (1.1%)

Compiler: Compiled 10222 to 6823 computations (33.3% saved)

prune161.0ms (0.5%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	329	32	361
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	331	32	363

Error

0.0b

Counts

363 → 32

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(+.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))
	26.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x))
	10.4b	(+.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))))
	4.7b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	20.5b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	10.3b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	4.4b	(+.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))))
▶	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	4.8b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	26.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 y (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	28.7b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
	20.5b	(+.f64 (+.f64 (/.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))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	4.8b	(+.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))
	7.0b	(+.f64 (+.f64 (exp.f64 (log.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))
	5.1b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	4.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.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)))))
	22.4b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	5.1b	(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	23.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	33.3b	(+.f64 (fma.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	4.9b	(+.f64 91893853320467/100000000000000 (-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
▶	22.4b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	4.3b	(+.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))
	4.5b	(+.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))
	20.5b	(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	8.0b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
	25.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
	25.3b	(+.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))
	4.8b	(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
▶	1.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
	27.9b	(+.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)))
▶	4.4b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Compiler

Compiled 1822 to 1334 computations (26.8% saved)

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.8b	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

Compiler

Compiled 104 to 61 computations (41.3% saved)

series15.0ms (0%)

Counts

2 → 36

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
2.0ms	x	@	inf	(/.f64 83333333333333/1000000000000000 x)
1.0ms	z	@	0	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	z	@	-inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
1.0ms	y	@	-inf	(*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))

rewrite83.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
363×	`pow-prod-down_binary64`
339×	`pow2_binary64`
238×	`pow1/3_binary64`
236×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	265	18
2	3380	18

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x)) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z x) (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 z x) (*.f64 -13888888888889/5000000000000000 (/.f64 z x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))))) (#(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 (pow.f64 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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.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 -83333333333333/1000000000000000 (pow.f64 (neg.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 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 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 3)))) (#(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 (*.f64 x 1000000000000000/83333333333333) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x 1000000000000000/83333333333333) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 83333333333333/1000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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))))))

simplify64.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
585×	`associate-l_binary64`
511×	`fma-def_binary64`
430×	`associate-r_binary64`
403×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	754
1	80	754
2	166	754
3	379	484
4	1255	484
5	4742	484

Stop Event

1×	node limit

Counts

95 → 71

Calls

Call 1

Inputs
(*.f64 -13888888888889/5000000000000000 (/.f64 z 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 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(+.f64 (.f64 -13888888888889/5000000000000000 (/.f64 z x)) (.f64 (+.f64 (/.f64 y x) (*.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2)))
(/.f64 (*.f64 (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 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z 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 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 z (+.f64 7936500793651/10000000000000000 y)) 13888888888889/5000000000000000) z) x)
(/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
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Outputs
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(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(.f64 (/.f64 y x) (.f64 z z))
(.f64 z (.f64 z (/.f64 y x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))
(fma.f64 -13888888888889/5000000000000000 (/.f64 z x) (.f64 (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x)) (.f64 z z)))
(fma.f64 z (.f64 z (+.f64 (/.f64 y x) (/.f64 7936500793651/10000000000000000 x))) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))
(*.f64 (/.f64 z x) (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000))
(*.f64 z (/.f64 (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) x))

localize178.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
	0.3b	(/.f64 83333333333333/1000000000000000 x)

Compiler

Compiled 53 to 33 computations (37.7% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
✓	0.2b	(*.f64 z (/.f64 z x))
	0.2b	(fma.f64 (log.f64 x) (-.f64 1/2 x) x)
✓	6.8b	(.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x)))

Compiler

Compiled 77 to 35 computations (54.5% saved)

series21.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Expression
5.0ms	z	@	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
4.0ms	y	@	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
1.0ms	x	@	(.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x)))
1.0ms	y	@	(.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x)))
1.0ms	z	@	(.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x)))

rewrite127.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`fma-def_binary64`
366×	`fma-neg_binary64`
341×	`expm1-udef_binary64`
341×	`log1p-udef_binary64`
268×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	372	48
2	5226	46

Stop Event

1×	node limit

Counts

3 → 153

Calls

Call 1

Inputs

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

(*.f64 z (/.f64 z x))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (/.f64 z x))) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) y) (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000) (*.f64 (*.f64 z (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 z z)) (*.f64 (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (*.f64 z z)) (*.f64 (-.f64 y 7936500793651/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (*.f64 x (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z z) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (*.f64 x (-.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (/.f64 z x)) (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (-.f64 y 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 1) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z (sqrt.f64 x)) (sqrt.f64 (+.f64 y 7936500793651/10000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (/.f64 z x)) (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z (/.f64 z x)) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) y (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000 (*.f64 (*.f64 z (/.f64 z x)) y))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x))) (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))) (/.f64 (pow.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))) 2) (-.f64 91893853320467/100000000000000 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (*.f64 (log.f64 x) (-.f64 1/2 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) 91893853320467/100000000000000) (fma.f64 (log.f64 x) (-.f64 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simplify150.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

982×	`times-frac_binary64`
788×	`sub-neg_binary64`
458×	`fma-neg_binary64`
357×	`associate-+l-_binary64`
324×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	2012
1	224	1886
2	616	1410
3	1855	1410
4	6000	1410

Stop Event

1×	node limit

Counts

249 → 181

Calls

Call 1

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

localize113.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
✓	0.1b	(*.f64 (+.f64 x -1/2) (log.f64 x))
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
	4.0b	(/.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)

series21.0ms (0.1%)

Counts

3 → 22

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
1.0ms	x	@	inf	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)
1.0ms	x	@	-inf	(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)

rewrite148.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
527×	`log-prod_binary64`
470×	`fma-def_binary64`
342×	`fma-neg_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	279	33
2	3383	32

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2)
(*.f64 (+.f64 x -1/2) (log.f64 x))
(+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000)

Outputs

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

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-+l+_binary64`
540×	`associate-l_binary64`
530×	`associate-+r+_binary64`
501×	`associate-r_binary64`
307×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	335
1	164	207
2	472	193
3	1981	190
4	7436	190

Stop Event

1×	node limit

Counts

182 → 156

Calls

Call 1

Inputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (+.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))))
(+.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 91893853320467/100000000000000 (+.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)))))
(*.f64 -1 x)
(*.f64 -1 x)

Outputs
(*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 (log.f64 x) x) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4))) (.f64 1/8 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 4)))) (pow.f64 x 3)) (+.f64 (.f64 (log.f64 x) x) (+.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (.f64 1/4 (/.f64 (log.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))) (pow.f64 x 2)) (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(*.f64 -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 x -1/2))
(*.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 x -1/2))
(*.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 x -1/2))
(*.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 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 x))
(*.f64 x (log.f64 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 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (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 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 (+.f64 (.f64 -1 (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 (log.f64 x) x (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 91893853320467/100000000000000 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x)) (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) x)
(+.f64 91893853320467/100000000000000 (+.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))))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) 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 91893853320467/100000000000000 (+.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)))))
(+.f64 91893853320467/100000000000000 (fma.f64 (pow.f64 (sqrt.f64 -1/2) 2) (log.f64 x) (*.f64 x (+.f64 (log.f64 x) -1))))
(+.f64 (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000) (*.f64 x (+.f64 (log.f64 x) -1)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (+.f64 (log.f64 x) -1) 91893853320467/100000000000000))
(-.f64 (+.f64 91893853320467/100000000000000 (*.f64 (log.f64 x) (+.f64 -1/2 x))) x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

localize104.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.6b	(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
✓	0.8b	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
	4.0b	(/.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)

series53.0ms (0.2%)

Counts

2 → 16

Calls

18 calls:

Time	Variable		Point	Expression
14.0ms	z	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
12.0ms	y	@	0	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
4.0ms	z	@	0	(cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)
2.0ms	z	@	inf	(pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 3)

rewrite119.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log-prod_binary64`
350×	`pow2_binary64`
343×	`pow-prod-down_binary64`
244×	`expm1-udef_binary64`
244×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	307	32
2	3469	32

Stop Event

1×	node limit

Counts

2 → 84

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 0 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -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 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 1/6) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) x) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z (+.f64 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simplify131.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

742×	`distribute-lft-in_binary64`
742×	`distribute-rgt-in_binary64`
483×	`times-frac_binary64`
342×	`associate-r_binary64`
281×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	3082
1	849	2740
2	3290	2734

Stop Event

1×	node limit

Counts

100 → 116

Calls

Call 1

Inputs
(.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 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))
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(+.f64 (pow.f64 (/.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) x) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 x 2)) (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2)) 1/3) (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2) (pow.f64 x 7))) 1/3) (pow.f64 z 6))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2) (pow.f64 x 7))) 1/3) (pow.f64 z 6)))))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 7) (pow.f64 x 11))) 1/9) (.f64 (pow.f64 y 2) (pow.f64 z 4)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (+.f64 83333333333333/1000000000000000 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)) 2) (pow.f64 x 7))) 1/9) (*.f64 y (pow.f64 z 2)))))))

Outputs
(.f64 83333333333333/1000000000000000 (.f64 (pow.f64 1 1/3) (/.f64 1 x)))
(*.f64 83333333333333/1000000000000000 (/.f64 1 x))
(/.f64 83333333333333/1000000000000000 x)
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(fma.f64 83333333333333/1000000000000000 (/.f64 1 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))
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(+.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)))) (pow.f64 z 6)) -5/27) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2) x))))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 x 7) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))) 1/18)) (.f64 z (.f64 z y))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 7)) 1/18) (.f64 y y))) (.f64 (pow.f64 z 4) -1/9)))))
(+.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) (fma.f64 -1/3 (.f64 (pow.f64 y 3) (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (pow.f64 x 7))) (pow.f64 z 6)) -5/27) (cbrt.f64 (.f64 x (/.f64 x (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)))))) (fma.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (pow.f64 x 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2)) (pow.f64 x 7)) 1/18) y))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 x 11)) (pow.f64 (fma.f64 z (fma.f64 z 7936500793651/10000000000000000 -13888888888889/5000000000000000) 83333333333333/1000000000000000) 7)) 1/18) (.f64 y y))) (.f64 (pow.f64 z 4) -1/9)))))

eval662.0ms (2.2%)

Compiler: Compiled 29860 to 19930 computations (33.3% saved)

prune772.0ms (2.6%)

Pruning

37 alts after pruning (36 fresh and 1 done)

	Pruned	Kept	Total
New	915	34	949
Fresh	25	2	27
Picked	1	0	1
Done	3	1	4
Total	944	37	981

Error

Counts

981 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.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))
	10.4b	(+.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))))
	13.1b	(+.f64 (+.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	41.2b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	29.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	32.9b	(-.f64 (*.f64 x (log.f64 x)) x)
▶	32.9b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
	10.4b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	33.0b	(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
	4.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 x)))
	22.4b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)))
	33.3b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	54.8b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	52.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 1/2 (log.f64 x))))
▶	10.8b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	23.4b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 x z)) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	10.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (*.f64 z (/.f64 y x)))))
	33.5b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
	22.4b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
	10.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	32.0b	(-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))
	22.5b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
▶	22.5b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (-.f64 x (*.f64 x (log.f64 x)))))
	8.0b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
	10.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	41.1b	(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
▶	23.1b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
	10.4b	(+.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))
	29.0b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	1.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
▶	1.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
	29.0b	(+.f64 (+.f64 (/.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))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.7b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Compiler

Compiled 1645 to 1217 computations (26% saved)

localize94.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
✓	0.2b	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	1.7b	(.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y)))

Compiler

Compiled 132 to 72 computations (45.5% saved)

series11.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	z	@	0	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	z	@	inf	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	z	@	-inf	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)
1.0ms	x	@	-inf	(*.f64 (/.f64 z x) -13888888888889/5000000000000000)

rewrite99.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`log-prod_binary64`
433×	`pow-prod-down_binary64`
326×	`pow2_binary64`
243×	`pow-unpow_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	248	20
2	3439	20

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 z x)) (*.f64 (*.f64 z y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z (/.f64 z x))) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000)) (*.f64 (/.f64 z x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000) (*.f64 (*.f64 z (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (/.f64 z x)) y) (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x (*.f64 z (+.f64 7936500793651/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) (*.f64 z (+.f64 7936500793651/10000000000000000 y))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 7936500793651/10000000000000000 y)) (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (/.f64 z x)) (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (fma.f64 y (-.f64 y 7936500793651/10000000000000000) 62988044847622952881909801/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (/.f64 z x)) (-.f64 62988044847622952881909801/100000000000000000000000000000000 (*.f64 y y))) (-.f64 7936500793651/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (+.f64 7936500793651/10000000000000000 y) (/.f64 z x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 z x) (*.f64 z 7936500793651/10000000000000000) (*.f64 (/.f64 z x) (*.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x)) (*.f64 y (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 z (/.f64 z x)) (*.f64 7936500793651/10000000000000000 (*.f64 z (/.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z 7936500793651/10000000000000000) (/.f64 z x) (*.f64 (*.f64 z y) (/.f64 z x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000 (*.f64 (*.f64 z (/.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (/.f64 z x)) y (*.f64 (*.f64 z (/.f64 z x)) 7936500793651/10000000000000000))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 z (/.f64 x -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -13888888888889/5000000000000000 (/.f64 x z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z -13888888888889/5000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 z -13888888888889/5000000000000000)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 z -13888888888889/5000000000000000) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 z) -13888888888889/5000000000000000) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -13888888888889/5000000000000000 (neg.f64 z)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 z x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 z -13888888888889/5000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 192901234567904320987654321/25000000000000000000000000000000 (pow.f64 (/.f64 z x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 z x)) -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z x) -13888888888889/5000000000000000)) 1))))))

simplify203.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

733×	`distribute-rgt-out_binary64`
697×	`fma-def_binary64`
621×	`associate-/r/_binary64`
508×	`distribute-lft-in_binary64`
350×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	627
1	41	627
2	82	627
3	200	627
4	588	627
5	2160	627
6	4435	627
7	5978	627
8	7370	627
9	7521	627
10	7702	627
11	7953	627

Stop Event

1×	node limit

Counts

130 → 78

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(*.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(+.f64 (/.f64 (.f64 y (pow.f64 z 2)) x) (.f64 7936500793651/10000000000000000 (/.f64 (pow.f64 z 2) x)))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))

Outputs
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
(.f64 z (.f64 z (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x)
(/.f64 (*.f64 z z) (/.f64 x (+.f64 7936500793651/10000000000000000 y)))
(*.f64 (/.f64 z (/.f64 x z)) (+.f64 7936500793651/10000000000000000 y))
(.f64 (+.f64 7936500793651/10000000000000000 y) (.f64 (/.f64 z x) z))
(.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))
(.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x))
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(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x -13888888888889/5000000000000000))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))
(*.f64 -13888888888889/5000000000000000 (/.f64 z x))
(/.f64 z (/.f64 x -13888888888889/5000000000000000))
(*.f64 z (/.f64 -13888888888889/5000000000000000 x))
(/.f64 -13888888888889/5000000000000000 (/.f64 x z))

localize206.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
✓	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
✓	0.1b	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
	4.0b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 75 to 50 computations (33.3% saved)

series11.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite126.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

542×	`log-prod_binary64`
357×	`pow-prod-down_binary64`
327×	`pow2_binary64`
272×	`prod-diff_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	256	30
2	3294	30

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) (*.f64 z -13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000) z) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (fma.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000) z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) -2679183813443137002743484225480109739369/125000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) (fma.f64 z (*.f64 (+.f64 y 7936500793651/10000000000000000) 13888888888889/5000000000000000) 192901234567904320987654321/25000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) -192901234567904320987654321/25000000000000000000000000000000)) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 13888888888889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 7936500793651/10000000000000000 z) (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 z 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z 7936500793651/10000000000000000) (*.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) z) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) z) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3))) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000)) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (+.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))))) (#(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 log1p.f64 (expm1.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 fma.f64 y z (*.f64 7936500793651/10000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 7936500793651/10000000000000000 z (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z y (*.f64 z 7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 7936500793651/10000000000000000 (*.f64 z y))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) -83333333333333/1000000000000000)) (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) -83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z 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6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) (*.f64 z 83333333333333/1000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) -6944444444444388888888888889/1000000000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) -83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (-.f64 83333333333333/1000000000000000 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (-.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) (*.f64 z 83333333333333/1000000000000000)))) (+.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) -83333333333333/1000000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) -6944444444444388888888888889/1000000000000000000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) z 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 1 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.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)) 2)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 2)) (cbrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) z) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (sqrt.f64 (*.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (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)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000))) (sqrt.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000)) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) 83333333333333/1000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) (sqrt.f64 z)) (sqrt.f64 z) 83333333333333/1000000000000000)))))

simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

906×	`fma-def_binary64`
664×	`neg-sub0_binary64`
664×	`neg-mul-1_binary64`
384×	`distribute-rgt-neg-out_binary64`
362×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	828
1	67	794
2	123	739
3	242	654
4	632	654
5	1584	654
6	2815	654
7	3524	654
8	4298	654
9	6775	654

Stop Event

1×	node limit

Counts

173 → 125

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z)
(*.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(*.f64 y (pow.f64 z 2))
(.f64 y (.f64 z z))
(.f64 z (.f64 z y))
(+.f64 (.f64 y (pow.f64 z 2)) (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
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(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y))
(.f64 (.f64 z z) (+.f64 7936500793651/10000000000000000 y))
(.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y)))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z))
(fma.f64 y (.f64 z z) (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)))
(fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) (.f64 y (.f64 z z)))
(.f64 z (+.f64 -13888888888889/5000000000000000 (.f64 z (+.f64 7936500793651/10000000000000000 y))))
(*.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 y (.f64 z z) (+.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(fma.f64 y (*.f64 z z) (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000))
(fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)
(+.f64 83333333333333/1000000000000000 (+.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) (.f64 -13888888888889/5000000000000000 z)))
(fma.f64 y (.f64 z z) (+.f64 (.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000)) 83333333333333/1000000000000000))
(fma.f64 y (*.f64 z z) (fma.f64 z (fma.f64 7936500793651/10000000000000000 z -13888888888889/5000000000000000) 83333333333333/1000000000000000))
(fma.f64 z -13888888888889/5000000000000000 (fma.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y)) 83333333333333/1000000000000000))
(fma.f64 z (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000) 83333333333333/1000000000000000)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (/.f64 z x))
✓	0.2b	(-.f64 x (*.f64 x (log.f64 x)))
✓	0.2b	(*.f64 x (log.f64 x))
	6.8b	(.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x)))

Compiler

Compiled 74 to 25 computations (66.2% saved)

series99.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	x	@	0	(*.f64 x (log.f64 x))
38.0ms	x	@	-inf	(*.f64 x (log.f64 x))
16.0ms	x	@	inf	(*.f64 x (log.f64 x))
0.0ms	x	@	0	(-.f64 x (*.f64 x (log.f64 x)))
0.0ms	x	@	inf	(-.f64 x (*.f64 x (log.f64 x)))

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
587×	`add-log-exp_binary64`
587×	`log1p-expm1-u_binary64`
587×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	111	15
2	1614	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(*.f64 x (log.f64 x))
(-.f64 x (*.f64 x (log.f64 x)))

Outputs

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

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

simplify298.0ms (1%)

Algorithm

1×	egg-herbie

Rules

4124×	`fma-neg_binary64`
837×	`unsub-neg_binary64`
759×	`distribute-rgt-in_binary64`
603×	`distribute-lft-in_binary64`
413×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	180
1	60	180
2	127	180
3	310	180
4	619	180
5	1615	180
6	4016	180
7	4824	180
8	5099	180
9	5175	180
10	5209	180
11	5213	180
12	6407	180
13	7095	180
14	7433	180
15	7709	180
16	7709	180
17	7844	180
18	7848	180
19	7940	180
20	7940	180
21	7940	180
22	7940	180

Stop Event

1×	node limit

Counts

73 → 57

Calls

Call 1

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

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

localize160.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (-.f64 x 1/2) (log.f64 x))
	0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000)
✓	0.7b	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
✓	30.4b	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

Compiler

Compiled 67 to 38 computations (43.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
0.0ms	x	@	0	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))

rewrite102.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`pow1_binary64`
551×	`add-log-exp_binary64`
551×	`log1p-expm1-u_binary64`
551×	`expm1-log1p-u_binary64`
538×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	131	11
2	1587	11

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))

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 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.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 83333333333333/1000000000000000 (sqrt.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 83333333333333/1000000000000000 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 6944444444444388888888888889/1000000000000000000000000000000 1/2) (pow.f64 (pow.f64 x -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) 1/2) (pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (*.f64 (*.f64 x x) 1000000000000000000000000000000/6944444444444388888888888889)))))) (#(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 (sqrt.f64 -6944444444444388888888888889/1000000000000000000000000000000) (sqrt.f64 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -83333333333333/1000000000000000 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1/3)))) (#(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 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 83333333333333/1000000000000000 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 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 83333333333333/1000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (*.f64 (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4))) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (*.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6944444444444388888888888889/1000000000000000000000000000000 (/.f64 1 (neg.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6944444444444388888888888889/1000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 83333333333333/1000000000000000 x) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 83333333333333/1000000000000000 x) (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 83333333333333/1000000000000000 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1000000000000000000000000000000/6944444444444388888888888889) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 48225308641974537037037037041666666666666654320987654321/1000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 6944444444444388888888888889/1000000000000000000000000000000) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))))))))

simplify583.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
553×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
479×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	132
1	15	132
2	24	132
3	43	132
4	91	132
5	264	132
6	974	132
7	1823	132
8	1987	132
9	2171	132
10	2379	132
11	2674	132
12	3429	132
13	3909	132
14	4475	132
15	5163	132
16	6000	132
17	6390	132
18	6678	132
19	6956	132
20	7028	132
21	7062	132

Stop Event

1×	node limit

Counts

79 → 58

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 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))

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 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (pow.f64 x 2))
(/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))

localize59.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	0.5b	(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
✓	0.8b	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)

Compiler

Compiled 80 to 52 computations (35% saved)

series20.0ms (0.1%)

Counts

3 → 14

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
4.0ms	x	@	0	(cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))
4.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3)

rewrite154.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`prod-diff_binary64`
530×	`log-prod_binary64`
439×	`fma-def_binary64`
289×	`fma-neg_binary64`
221×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	278	41
2	3388	40

Stop Event

1×	node limit

Counts

3 → 231

Calls

Call 1

Inputs

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

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

(+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 (+.f64 x -1/2) (log.f64 x)))))) (#(struct:change 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(cbrt.f64 (log.f64 x)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (-.f64 x 91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) 1) (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x))) 2) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1/6)) (pow.f64 (fma.f64 (+.f64 x -1/2) (log.f64 x) (neg.f64 x)) 1/6) 91893853320467/100000000000000)))))

simplify180.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
543×	`*-commutative_binary64`
472×	`distribute-lft-in_binary64`
472×	`distribute-rgt-in_binary64`
450×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1955
1	499	1662
2	1867	1640

Stop Event

1×	node limit

Counts

245 → 256

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 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (.f64 (+.f64 (.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) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (+.f64 (.f64 (pow.f64 (.f64 1 (log.f64 x)) 1/3) (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x))))))) (.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) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3)) (.f64 (+.f64 (.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) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3))
(+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.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) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x)))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (pow.f64 x 2))))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.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) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 7)) 1/9) (.f64 (pow.f64 (-.f64 (log.f64 x) 1) 2) (pow.f64 x 2))))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.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) 2)) 1/9) (.f64 (-.f64 (log.f64 x) 1) x)))) (.f64 -1/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) 91893853320467/100000000000000)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) 91893853320467/100000000000000))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.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) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3))))))
91893853320467/100000000000000
91893853320467/100000000000000

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 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x))
(fma.f64 -1/2 (log.f64 x) (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1)))
(fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 -1/2 (log.f64 x)))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (*.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (.f64 (+.f64 (.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) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x (.f64 (fma.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) 1/9)) (*.f64 x x))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))))))
(fma.f64 -1/2 (log.f64 x) (.f64 x (+.f64 (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))))))
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(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18)) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 x x)))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 x (+.f64 (log.f64 x) -1)))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (/.f64 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27)) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3))))))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18))))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 (.f64 x (+.f64 (log.f64 x) -1)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))) (.f64 (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) -1/3)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 -1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) x) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 7)) 1/18) x)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (.f64 (+.f64 (log.f64 x) -1) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18))))) (fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x)) (.f64 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27)) (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) 91893853320467/100000000000000)
(fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) 91893853320467/100000000000000))
(fma.f64 -1/2 (log.f64 x) (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 -1/2 (log.f64 x) 91893853320467/100000000000000))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000) (.f64 (.f64 x x) (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (cbrt.f64 (log.f64 x)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))))))))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))) 91893853320467/100000000000000)))
(fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))) 91893853320467/100000000000000)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1)))) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/2) 4) 1/3) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (-.f64 (log.f64 x) 1))))) x) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1/2)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (cbrt.f64 -1/2)))) (.f64 4/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (log.f64 x)))))) (pow.f64 (.f64 1 (log.f64 x)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))))) (+.f64 (.f64 -2/27 (.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) 1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3)))) (.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) 2)) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (-.f64 (log.f64 x) 1) 2))))) (-.f64 (log.f64 x) 1)))))))) (pow.f64 x 3))))))
(fma.f64 -1/2 (log.f64 x) (+.f64 (fma.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 1) x 91893853320467/100000000000000) (fma.f64 (fma.f64 2/9 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))) (fma.f64 (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9)) (cbrt.f64 (log.f64 x)) (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2)))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)))))) (.f64 x x) (.f64 (pow.f64 x 3) (fma.f64 (.f64 (cbrt.f64 -1/2) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27)) (cbrt.f64 -1/2))) (.f64 4/27 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (log.f64 x))))) (cbrt.f64 (log.f64 x)) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) 1/27))) (fma.f64 -2/27 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 1 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))))) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (.f64 (+.f64 (log.f64 x) -1) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (pow.f64 (+.f64 (log.f64 x) -1) 2))) -1/9))))))))))))
(+.f64 (fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) 91893853320467/100000000000000)) (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 (.f64 -2/3 (cbrt.f64 (/.f64 1 (log.f64 x)))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (cbrt.f64 -1/2)) (.f64 4/27 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (log.f64 x))))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (+.f64 (log.f64 x) -1) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) -2/27))))) (.f64 (.f64 x x) (fma.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (log.f64 x))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (+.f64 (log.f64 x) -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))) (*.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) 1/9))))))
(fma.f64 x (.f64 (cbrt.f64 (.f64 -1/2 (cbrt.f64 -1/2))) (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (+.f64 (log.f64 x) -1))) (fma.f64 -1/2 (log.f64 x) (fma.f64 x (.f64 x (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9))) (.f64 1/9 (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18))))))) (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (log.f64 x)) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (cbrt.f64 -1/2)) (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27)) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (/.f64 4/27 (log.f64 x))))) (fma.f64 (.f64 (.f64 (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18))) (.f64 (pow.f64 (+.f64 (log.f64 x) -1) 2) -1/9)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (.f64 (+.f64 (log.f64 x) -1) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)))) (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) -5/27) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (*.f64 (/.f64 (pow.f64 (+.f64 (log.f64 x) -1) 3) (pow.f64 (cbrt.f64 -1/2) 2)) -2/27))))) 91893853320467/100000000000000))))
91893853320467/100000000000000
91893853320467/100000000000000

eval895.0ms (3%)

Compiler: Compiled 23330 to 14468 computations (38% saved)

prune228.0ms (0.8%)

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	836	25	861
Fresh	13	18	31
Picked	0	1	1
Done	4	1	5
Total	853	45	898

Error

Counts

898 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	41.3b	(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
	37.0b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
	22.5b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (-.f64 1 (log.f64 x)) x)))
	55.0b	(+.f64 (neg.f64 x) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x))
▶	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.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))
	55.6b	(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
	13.1b	(+.f64 (+.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	41.2b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	29.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	32.9b	(-.f64 (*.f64 x (log.f64 x)) x)
	53.9b	(+.f64 (neg.f64 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x)))
	41.1b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	33.0b	(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
	37.5b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	10.4b	(+.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))
	32.9b	(+.f64 (neg.f64 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)))))
	22.4b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)))
	37.0b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
▶	27.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (-.f64 x (.f64 x (log.f64 x)))))
	23.8b	(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
	33.3b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	54.8b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	52.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 1/2 (log.f64 x))))
✓	10.8b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	31.9b	(+.f64 (neg.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
▶	33.5b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	33.4b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
	58.6b	(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
▶	32.9b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	10.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	32.0b	(-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))
	23.4b	(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 x z)) (-.f64 x (.f64 x (log.f64 x)))))
	41.3b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
▶	39.9b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	41.6b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (log.f64 x)) 2)) (+.f64 x (*.f64 x (log.f64 x))))))
	41.4b	(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	10.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.4b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
	29.0b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.7b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))

Compiler

Compiled 1697 to 1251 computations (26.3% saved)

localize73.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)))
✓	0.4b	(*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)
	4.0b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)

Compiler

Compiled 162 to 114 computations (29.6% saved)

series9.0ms (0%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)
2.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x)))
1.0ms	x	@	0	(*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))
1.0ms	x	@	-inf	(*.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
887×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
101×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	212	29
2	2460	29

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x -1/2)) (cbrt.f64 (+.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 x -1/2))) (cbrt.f64 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1/2) 1/6) (*.f64 (pow.f64 (+.f64 x -1/2) 1/6) (cbrt.f64 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1/2)) (pow.f64 (+.f64 x -1/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 x -1/2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))) (cbrt.f64 (cbrt.f64 (+.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x -1/2)))))))))

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

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

643×	`associate-*l/_binary64`
561×	`distribute-rgt-in_binary64`
544×	`distribute-lft-in_binary64`
477×	`associate-*r/_binary64`
346×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	490
1	254	437
2	716	390
3	3295	372

Stop Event

1×	node limit

Counts

68 → 70

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 -1/2) 2)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (pow.f64 (cbrt.f64 -1/2) 2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 -1/2) 2) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 -1/2) 2) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 1 1/3))) (.f64 -4/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))) (cbrt.f64 -1/2))) (.f64 4/27 (pow.f64 1 1/3))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3))) (pow.f64 x 2)))))
(*.f64 (cbrt.f64 -1/2) (log.f64 x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (.f64 (cbrt.f64 -1/2) (log.f64 x)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (*.f64 (cbrt.f64 -1/2) (log.f64 x))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 1 1/3))) (.f64 -4/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))) (.f64 (pow.f64 x 3) (log.f64 x))) (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (*.f64 (cbrt.f64 -1/2) (log.f64 x)))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x) (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))

Outputs
(pow.f64 (cbrt.f64 -1/2) 2)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (pow.f64 (cbrt.f64 -1/2) 2))
(fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (pow.f64 (cbrt.f64 -1/2) 2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 -1/2) 2) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3))) (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9) (.f64 x x)))
(fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9) (*.f64 x x) (pow.f64 (cbrt.f64 -1/2) 2)))
(fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (fma.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 x (*.f64 x -1/9)) (pow.f64 (cbrt.f64 -1/2) 2)))
(fma.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (.f64 x (.f64 x -1/9)) (fma.f64 2/3 (*.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (pow.f64 (cbrt.f64 -1/2) 2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (cbrt.f64 -1/2) 1) 1/3) x)) (+.f64 (pow.f64 (cbrt.f64 -1/2) 2) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 1 1/3))) (.f64 -4/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))) (cbrt.f64 -1/2))) (.f64 4/27 (pow.f64 1 1/3))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4)) 1/3))) (pow.f64 x 2)))))
(+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 (fma.f64 -2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 -2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -4/27))) (cbrt.f64 -1/2)) 4/27) (pow.f64 x 3) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9) (*.f64 x x))))
(+.f64 (fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 (fma.f64 -2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -2/9)) (cbrt.f64 -1/2)) 4/27) (pow.f64 x 3) (.f64 x (.f64 x (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) -1/9)))))
(fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (fma.f64 x (.f64 x (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) -1/9)) (fma.f64 (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (cbrt.f64 -1/2)) 4/27) (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/2) 2))))
(fma.f64 2/3 (.f64 (cbrt.f64 (cbrt.f64 -1/2)) x) (fma.f64 x (.f64 (cbrt.f64 (/.f64 -2 (cbrt.f64 -1/2))) (*.f64 -1/9 x)) (fma.f64 (fma.f64 (/.f64 -2/3 (cbrt.f64 -1/2)) (/.f64 -5/27 (pow.f64 (cbrt.f64 -1/2) 2)) 4/27) (pow.f64 x 3) (pow.f64 (cbrt.f64 -1/2) 2))))
(*.f64 (cbrt.f64 -1/2) (log.f64 x))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (.f64 (cbrt.f64 -1/2) (log.f64 x)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (log.f64 x))) (*.f64 (cbrt.f64 -1/2) (log.f64 x)))
(fma.f64 (cbrt.f64 -1/2) (log.f64 x) (.f64 1/3 (.f64 x (*.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))))
(.f64 (log.f64 x) (+.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 1/3 x))))
(.f64 (log.f64 x) (+.f64 (cbrt.f64 -1/2) (.f64 1/3 (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (*.f64 (cbrt.f64 -1/2) (log.f64 x))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (.f64 x x) (log.f64 x))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (log.f64 x))) (.f64 (cbrt.f64 -1/2) (log.f64 x))))
(fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))))) (fma.f64 (cbrt.f64 -1/2) (log.f64 x) (.f64 1/3 (.f64 x (.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))))))
(fma.f64 1/3 (.f64 x (.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))) (.f64 (log.f64 x) (+.f64 (.f64 (.f64 x x) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))))) (cbrt.f64 -1/2))))
(.f64 (log.f64 x) (+.f64 (cbrt.f64 -1/2) (.f64 x (+.f64 (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)))) x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))))))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -2/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (pow.f64 1 1/3))) (.f64 -4/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))) (.f64 (pow.f64 x 3) (log.f64 x))) (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)) 1/3) (.f64 (log.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) 1/3) (.f64 (log.f64 x) x))) (*.f64 (cbrt.f64 -1/2) (log.f64 x)))))
(fma.f64 -1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1/2) 2)) (fma.f64 -2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -4/27))) (/.f64 (pow.f64 (cbrt.f64 -1/2) 2) (.f64 (pow.f64 x 3) (log.f64 x)))) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))) (.f64 (.f64 x x) (log.f64 x))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 x (log.f64 x))) (.f64 (cbrt.f64 -1/2) (log.f64 x)))))
(fma.f64 -1/3 (.f64 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -2/9)) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (pow.f64 x 3) (log.f64 x))) (fma.f64 -1/9 (.f64 (.f64 x x) (.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7))))) (fma.f64 (cbrt.f64 -1/2) (log.f64 x) (.f64 1/3 (.f64 x (*.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))))))
(fma.f64 -1/9 (.f64 x (.f64 x (.f64 (log.f64 x) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)))))) (fma.f64 -1/3 (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)) -5/27) (/.f64 (.f64 (pow.f64 x 3) (log.f64 x)) (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 (log.f64 x) (+.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2))) (*.f64 1/3 x))))))
(fma.f64 -1/3 (.f64 (pow.f64 x 3) (.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1/2) 2)) (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 -1/2) 2)))) (.f64 (log.f64 x) (+.f64 (cbrt.f64 -1/2) (.f64 x (+.f64 (.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 7)))) x) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 2)))))))))
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.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 x (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)
(neg.f64 (*.f64 x (neg.f64 (log.f64 x))))
(*.f64 x (neg.f64 (neg.f64 (log.f64 x))))
(*.f64 x (log.f64 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 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 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 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 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 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 x -1/2))
(*.f64 (log.f64 x) (+.f64 -1/2 x))

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite136.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	139	7
2	1759	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (/.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2) (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (/.f64 1 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (/.f64 1 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))) (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3))) (+.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 7657821110038886035382226511/100000000000000000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 775995832041781888678988180190112618287563/1000000000000000000000000000000000000000000 (/.f64 578703703703696759259259259287037037037037/1000000000000000000000000000000000000000000000 (pow.f64 x 3)))) (neg.f64 (+.f64 8444480278083503881401098089/10000000000000000000000000000 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) (/.f64 7657821110038886035382226511/100000000000000000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))) (neg.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 83333333333333/1000000000000000 (/.f64 1 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x))) (cbrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 91893853320467/100000000000000)))))

simplify42.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	69
1	14	69
2	17	69

Stop Event

1×

saturated

Counts

43 → 35

Calls

Call 1

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

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

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z))
	0.1b	(*.f64 (+.f64 y 7936500793651/10000000000000000) z)
✓	0.2b	(.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z)
✓	4.0b	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

Compiler

Compiled 86 to 55 computations (36% saved)

series29.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	z	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	x	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	y	@	0	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	y	@	inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)
1.0ms	x	@	inf	(/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)

rewrite154.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
716×	`fma-def_binary64`
391×	`fma-neg_binary64`
293×	`expm1-udef_binary64`
293×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	323	36
2	4519	36

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z))) (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 499904667923684346908081313317095473451/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (*.f64 z z)) (-.f64 (fma.f64 y y 62988044847622952881909801/100000000000000000000000000000000) (*.f64 y 7936500793651/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 y y -62988044847622952881909801/100000000000000000000000000000000) (*.f64 z z)) (+.f64 y -7936500793651/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 y 7936500793651/10000000000000000)) z) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (*.f64 (+.f64 y 7936500793651/10000000000000000) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z z))) 1))))))

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

simplify277.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-def_binary64`
641×	`associate-/r/_binary64`
517×	`associate-l_binary64`
490×	`distribute-rgt-in_binary64`
397×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	1421
1	116	1385
2	267	1205
3	604	1126
4	1489	1056
5	4519	1056
6	6793	1056

Stop Event

1×	node limit

Counts

207 → 155

Calls

Call 1

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 x (*.f64 x (log.f64 x)))
	0.2b	(*.f64 x (log.f64 x))
✓	2.5b	(*.f64 (/.f64 z (/.f64 x y)) z)
✓	5.6b	(/.f64 z (/.f64 x y))

Compiler

Compiled 64 to 13 computations (79.7% saved)

series16.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(/.f64 z (/.f64 x y))
1.0ms	z	@	0	(/.f64 z (/.f64 x y))
1.0ms	y	@	0	(*.f64 (/.f64 z (/.f64 x y)) z)
1.0ms	x	@	0	(*.f64 (/.f64 z (/.f64 x y)) z)
1.0ms	z	@	0	(*.f64 (/.f64 z (/.f64 x y)) z)

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
808×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	2209	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1455×	`associate-*l/_binary64`
1220×	`associate-*r/_binary64`
349×	`sqr-pow_binary64`
309×	`*-commutative_binary64`
254×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	612
1	21	612
2	37	612
3	76	612
4	215	612
5	770	612
6	1938	612
7	2975	612
8	3086	612
9	3229	612
10	3407	612
11	3684	612
12	4012	612
13	5539	612

Stop Event

1×	node limit

Counts

136 → 67

Calls

Call 1

Inputs
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
(/.f64 (*.f64 y z) x)
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(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
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(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
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(.f64 y (.f64 (/.f64 z x) z))
(.f64 y (.f64 z (/.f64 z x)))
(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
(/.f64 (*.f64 z z) (/.f64 x y))
(.f64 (.f64 z (/.f64 y x)) z)
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(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
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(/.f64 (*.f64 y (pow.f64 z 2)) x)
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(.f64 (.f64 z (/.f64 y x)) z)
(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
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(*.f64 y (/.f64 z (/.f64 x z)))
(/.f64 (*.f64 y (pow.f64 z 2)) x)
(/.f64 y (/.f64 x (*.f64 z z)))
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(.f64 z (/.f64 (.f64 y z) x))
(.f64 y (.f64 (/.f64 z x) z))
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(.f64 (.f64 z z) (/.f64 y x))
(*.f64 y (/.f64 z (/.f64 x z)))

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000)
	0.3b	(/.f64 83333333333333/1000000000000000 x)
✓	0.4b	(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)
✓	22.9b	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))

Compiler

Compiled 80 to 54 computations (32.5% saved)

series9.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)
1.0ms	x	@	inf	(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)
1.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3))
1.0ms	x	@	-inf	(+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000)

rewrite137.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`prod-diff_binary64`
545×	`log-prod_binary64`
489×	`fma-def_binary64`
376×	`fma-neg_binary64`
223×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	282	36
2	3486	35

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs

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

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

(+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000)

Outputs

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(fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1/2)) (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (fma.f64 (+.f64 x -1/2) (log.f64 x) x) (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2))) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)) 91893853320467/100000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 2) 1/3) (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x -1/2) (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (*.f64 (+.f64 x -1/2) (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3/2) 1/3) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3/2) 1/3) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1/2) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2)) (cbrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (fma.f64 -1 x 91893853320467/100000000000000))))))

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-def_binary64`
601×	`unsub-neg_binary64`
600×	`fma-neg_binary64`
275×	`*-commutative_binary64`
275×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	957
1	304	845
2	1172	683
3	5655	599

Stop Event

1×	node limit

Counts

193 → 197

Calls

Call 1

Inputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 -1/8 (pow.f64 (log.f64 x) 3))
(+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (log.f64 x) 3)) (.f64 1/2 (pow.f64 (log.f64 x) 3))) x) (.f64 -1/8 (pow.f64 (log.f64 x) 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 3)) (.f64 -1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (log.f64 x) 3)) (.f64 1/2 (pow.f64 (log.f64 x) 3))) x) (*.f64 -1/8 (pow.f64 (log.f64 x) 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (log.f64 x) 3)) (.f64 -1 (pow.f64 (log.f64 x) 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 (log.f64 x) 3)) (.f64 1/2 (pow.f64 (log.f64 x) 3))) x) (+.f64 (.f64 (pow.f64 (log.f64 x) 3) (pow.f64 x 3)) (.f64 -1/8 (pow.f64 (log.f64 x) 3)))))
(.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 1/2 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (pow.f64 x 2)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 1/2 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (pow.f64 x 2)) (.f64 (+.f64 (.f64 -1/4 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (*.f64 -1/2 (pow.f64 (log.f64 (/.f64 1 x)) 3))) x)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (pow.f64 x 3))) (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 1 x)) 3) (.f64 1/2 (pow.f64 (log.f64 (/.f64 1 x)) 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 (log.f64 (/.f64 1 x)) 3)) (.f64 -1/2 (pow.f64 (log.f64 (/.f64 1 x)) 3))) x) (.f64 1/8 (pow.f64 (log.f64 (/.f64 1 x)) 3)))))
(.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (pow.f64 x 2)) (.f64 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (.f64 -1 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (+.f64 (.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3) (pow.f64 x 3)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3)) (.f64 -1/4 (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 3))) x)))))
(+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(+.f64 (.f64 -1/2 (log.f64 x)) (+.f64 91893853320467/100000000000000 (.f64 (-.f64 (log.f64 x) 1) x)))
(.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x)
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (*.f64 1/2 (log.f64 (/.f64 1 x)))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 x (+.f64 1 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 x (+.f64 1 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))
(+.f64 91893853320467/100000000000000 (+.f64 (.f64 -1 (.f64 x (+.f64 1 (.f64 (cbrt.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))

Outputs
(*.f64 -1/2 (log.f64 x))
(+.f64 (.f64 -1/2 (log.f64 x)) (.f64 (log.f64 x) x))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (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 -1/2 (log.f64 x) (*.f64 x (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 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x))
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) x)
(*.f64 x (log.f64 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 x)) x)) (*.f64 1/2 (log.f64 (/.f64 1 x))))
(fma.f64 -1/2 (log.f64 x) (*.f64 x (log.f64 x)))
(*.f64 (log.f64 x) (+.f64 -1/2 x))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))
(neg.f64 (.f64 (cbrt.f64 -1) (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(.f64 x (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (neg.f64 (cbrt.f64 -1))))
(.f64 x (.f64 (log.f64 x) (neg.f64 (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (.f64 (cbrt.f64 -1) (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (.f64 1/2 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 1/2 (cbrt.f64 -1))) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (cbrt.f64 -1))))
(.f64 (.f64 (cbrt.f64 -1) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 1/2 x))
(.f64 (.f64 (cbrt.f64 -1) (log.f64 x)) (-.f64 1/2 x))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) (.f64 1/2 (.f64 (cbrt.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1 (.f64 (cbrt.f64 -1) (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (.f64 1/2 (.f64 (cbrt.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(-.f64 (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 1/2 (cbrt.f64 -1))) (.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (.f64 x (cbrt.f64 -1))))
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(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (.f64 (cbrt.f64 -1) (log.f64 x)) (-.f64 1/2 x)) x))

eval491.0ms (1.7%)

Compiler: Compiled 16993 to 10815 computations (36.4% saved)

prune184.0ms (0.6%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	700	19	719
Fresh	12	26	38
Picked	0	1	1
Done	3	3	6
Total	715	49	764

Error

Counts

764 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	10.8b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	29.0b	(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	39.9b	(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
	41.3b	(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
	37.0b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
	46.8b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (log.f64 x)) 2)) (+.f64 x (.f64 x (log.f64 x))))))
	40.4b	(/.f64 83333333333333/1000000000000000 x)
	55.6b	(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
	13.1b	(+.f64 (+.f64 (exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	39.9b	(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
	52.7b	(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
✓	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	54.2b	(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
	10.9b	(+.f64 (+.f64 (-.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 3) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	29.0b	(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
	32.9b	(-.f64 (*.f64 x (log.f64 x)) x)
	53.9b	(+.f64 (neg.f64 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
	4.8b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
	10.3b	(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x)))
	33.5b	(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	37.5b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	41.1b	(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	33.0b	(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
	32.9b	(+.f64 (neg.f64 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)))))
	22.4b	(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)))
	37.0b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	40.0b	(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
	27.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (.f64 (-.f64 1 (log.f64 x)) x)))
	41.4b	(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
	52.7b	(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 1/2 (log.f64 x))))
✓	10.8b	(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	54.8b	(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
	31.9b	(+.f64 (neg.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
✓	33.5b	(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	33.4b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
	58.6b	(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
	59.0b	(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
	10.3b	(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (.f64 x 1000000000000000/83333333333333) -1))
	5.4b	(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (+.f64 x -1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
	32.0b	(-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))
	37.5b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
	39.9b	(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
	52.7b	(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
	10.5b	(+.f64 (+.f64 (-.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 x -1/2) (log.f64 x))) 2) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
✓	39.9b	(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
	41.3b	(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
	41.2b	(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	10.7b	(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
	60.9b	91893853320467/100000000000000

Compiler

Compiled 853 to 644 computations (24.5% saved)

regimes887.0ms (3%)

Counts

112 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))
(-.f64 91893853320467/100000000000000 (+.f64 (*.f64 (-.f64 1/2 x) (log.f64 x)) x))
(+.f64 (+.f64 91893853320467/100000000000000 (*.f64 -1/2 (log.f64 x))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 (*.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x))
(+.f64 (+.f64 (-.f64 (*.f64 -1/2 (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(.f64 (+.f64 (/.f64 y x) (.f64 7936500793651/10000000000000000 (/.f64 1 x))) (pow.f64 z 2))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (.f64 (-.f64 1 (log.f64 x)) x)))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000)))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (-.f64 x (.f64 x (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 1/2 (log.f64 x))))
(+.f64 (neg.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (*.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (-.f64 1 (log.f64 x)) x)))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 x z)) (-.f64 x (.f64 x (log.f64 x)))))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (-.f64 x (*.f64 x (log.f64 x)))))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 y (/.f64 (*.f64 z z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x)))
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (*.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 z (*.f64 z (/.f64 y 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 (neg.f64 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 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (*.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (*.f64 z (+.f64 y 7936500793651/10000000000000000)))))
(+.f64 (.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) 1) x) (/.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 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000))))
(pow.f64 (sqrt.f64 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 2)
(+.f64 (-.f64 (.f64 x (log.f64 x)) x) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 83333333333333/1000000000000000 x) (fma.f64 (log.f64 x) (-.f64 1/2 x) 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 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (.f64 x x))))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 y (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) (/.f64 x z)) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (.f64 (pow.f64 z 2) (+.f64 7936500793651/10000000000000000 y)) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000))))
(+.f64 (+.f64 (-.f64 (/.f64 (.f64 (fma.f64 x x -1/4) (log.f64 x)) (+.f64 x 1/2)) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.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 (exp.f64 (log.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.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 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x -1/2) (log.f64 x)) 3)) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (pow.f64 (sqrt.f64 (/.f64 83333333333333/1000000000000000 x)) 2))
(+.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 (*.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 (sqrt.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 x)) (sqrt.f64 x)))
(fma.f64 (+.f64 y 7936500793651/10000000000000000) (*.f64 z (/.f64 z x)) (neg.f64 (-.f64 (fma.f64 (log.f64 x) (-.f64 1/2 x) x) 91893853320467/100000000000000)))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (exp.f64 (log.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 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (log.f64 x)) 2)) (+.f64 x (.f64 x (log.f64 x))))))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 2) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x)) 3) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.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 (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 (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 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (log.f64 x)) 2)) (+.f64 x (*.f64 x (log.f64 x))))))
(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.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 (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))) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(+.f64 (/.f64 1 (/.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) (+.f64 x 91893853320467/100000000000000)) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 2) -8444480278083503881401098089/10000000000000000000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (/.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))) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 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)))
(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.f64 (+.f64 x -1/2)) (log.f64 x))) x) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 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 (fma.f64 (.f64 (log.f64 x) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2)) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (*.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (.f64 (cbrt.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) (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) (pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 (+.f64 y 7936500793651/10000000000000000) z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x)) 2))
(+.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) (/.f64 (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (sqrt.f64 x)) (sqrt.f64 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 (+.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 x -1/2)) 2) (cbrt.f64 (.f64 (pow.f64 (log.f64 x) 3) (+.f64 x -1/2)))) x) 91893853320467/100000000000000) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 91893853320467/100000000000000 (-.f64 (/.f64 (log.f64 (exp.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000))) x) (fma.f64 (log.f64 x) (-.f64 1/2 x) 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 83333333333333/1000000000000000 x))
(+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) 2) (cbrt.f64 (.f64 (+.f64 x -1/2) (log.f64 x))) (neg.f64 (+.f64 x -91893853320467/100000000000000))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 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 91893853320467/100000000000000 (-.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 z (fma.f64 z (+.f64 y 7936500793651/10000000000000000) -13888888888889/5000000000000000) 83333333333333/1000000000000000) (cbrt.f64 x))) (fma.f64 (log.f64 x) (-.f64 1/2 x) x)))

Outputs

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

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

Calls

11 calls:

186.0ms	x
101.0ms	y
101.0ms	z
72.0ms	(+.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))
64.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)

Results

Error	Segments	Branch
0.3b	2	`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 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 (+.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 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.3b	1	`(+.f64 y 7936500793651/10000000000000000)`
1.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 2287 to 1429 computations (37.5% saved)

bsearch66.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
64.0ms	3.398722903599718e+174	6.174294293240302e+177

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes673.0ms (2.3%)

Counts

55 → 3

Calls

Call 1

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

Outputs

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

Calls

10 calls:

125.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
117.0ms	(+.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))
114.0ms	(+.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))
75.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
59.0ms	x

Results

Error	Segments	Branch
0.3b	2	`x`
1.8b	1	`y`
1.8b	1	`z`
0.3b	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))`
0.3b	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))`
0.3b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.3b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.3b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 908 to 553 computations (39.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.5255108915774283e+275	7.866615033258603e+277
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes409.0ms (1.4%)

Counts

54 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

128.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
78.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
53.0ms	x
32.0ms	z
29.0ms	y

Results

Error	Segments	Branch
0.8b	2	`x`
1.8b	1	`y`
1.8b	1	`z`
0.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.4b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.4b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
1.8b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 830 to 497 computations (40.1% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	11653558449.519089	1623690896335799000.0
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes619.0ms (2.1%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

172.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
131.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
111.0ms	z
88.0ms	x
32.0ms	y

Results

Error	Segments	Branch
1.0b	2	`x`
5.1b	1	`y`
1.1b	3	`z`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.1b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 758 to 449 computations (40.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0078095832026078196	17417.659782843963
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes443.0ms (1.5%)

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

104.0ms	x
79.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
69.0ms	z
68.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
40.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
1.0b	2	`x`
10.3b	1	`y`
2.7b	3	`z`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 610 to 363 computations (40.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0078095832026078196	17417.659782843963
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes586.0ms (2%)

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

8 calls:

97.0ms	z
97.0ms	x
90.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
74.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
72.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
1.0b	2	`x`
10.3b	1	`y`
2.7b	3	`z`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
0.9b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 574 to 350 computations (39% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0078095832026078196	17417.659782843963
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes392.0ms (1.3%)

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

117.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
80.0ms	z
56.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
39.0ms	x
27.0ms	y

Results

Error	Segments	Branch
2.8b	2	`x`
10.3b	1	`y`
6.9b	3	`z`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 538 to 333 computations (38.1% saved)

bsearch397.0ms (1.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
397.0ms	439.66195733303886	121360270479476.89

Compiler

Compiled 443 to 305 computations (31.2% saved)

regimes640.0ms (2.2%)

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

155.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
138.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
137.0ms	z
67.0ms	x
40.0ms	y

Results

Error	Segments	Branch
2.8b	2	`x`
10.3b	1	`y`
6.9b	3	`z`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 521 to 324 computations (37.8% saved)

bsearch811.0ms (2.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
811.0ms	439.66195733303886	121360270479476.89

Compiler

Compiled 453 to 315 computations (30.5% saved)

regimes618.0ms (2.1%)

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

176.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
109.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
86.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
82.0ms	z
57.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
2.8b	2	`x`
10.3b	1	`y`
6.9b	3	`z`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
5.7b	3	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 489 to 311 computations (36.4% saved)

bsearch599.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
598.0ms	439.66195733303886	121360270479476.89

Compiler

Compiled 453 to 325 computations (28.3% saved)

regimes426.0ms (1.4%)

Counts

35 → 2

Calls

Call 1

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

Outputs

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

8 calls:

102.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
89.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
63.0ms	x
52.0ms	z
38.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
4.8b	2	`x`
10.3b	1	`y`
8.9b	3	`z`
7.8b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
7.8b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
7.8b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
7.8b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
10.3b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 457 to 294 computations (35.7% saved)

bsearch594.0ms (2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
594.0ms	0.0008521727986462868	0.25945328753041647

Compiler

Compiled 353 to 265 computations (24.9% saved)

regimes1.5s (5.2%)

Counts

34 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

492.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
264.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
228.0ms	y
217.0ms	z
106.0ms	(+.f64 y 7936500793651/10000000000000000)

Results

Error	Segments	Branch
5.0b	2	`x`
20.9b	14	`y`
21.1b	13	`z`
25.6b	6	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
25.6b	6	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
18.8b	14	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
18.8b	14	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
28.0b	6	`(+.f64 y 7936500793651/10000000000000000)`
28.0b	6	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 449 to 290 computations (35.4% saved)

bsearch341.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
340.0ms	439.66195733303886	121360270479476.89

Compiler

Compiled 393 to 295 computations (24.9% saved)

regimes1.3s (4.3%)

Counts

27 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(-.f64 (*.f64 x (log.f64 x)) x)
(+.f64 91893853320467/100000000000000 (pow.f64 (*.f64 x 1000000000000000/83333333333333) -1))
(+.f64 (+.f64 (*.f64 -1/2 (log.f64 x)) 91893853320467/100000000000000) (/.f64 83333333333333/1000000000000000 x))
(.f64 -1 (.f64 (+.f64 1 (log.f64 (/.f64 1 x))) x))

Outputs

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

(-.f64 (*.f64 x (log.f64 x)) x)

Calls

9 calls:

377.0ms	y
277.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
230.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
185.0ms	z
50.0ms	x

Results

Error	Segments	Branch
5.1b	2	`x`
21.3b	14	`y`
20.5b	15	`z`
25.8b	6	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
25.8b	6	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
19.0b	14	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
19.0b	14	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
28.7b	6	`(+.f64 y 7936500793651/10000000000000000)`
28.7b	6	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 367 to 239 computations (34.9% saved)

bsearch361.0ms (1.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
360.0ms	439.66195733303886	121360270479476.89

Compiler

Compiled 353 to 255 computations (27.8% saved)

regimes188.0ms (0.6%)

Counts

23 → 4

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

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

Calls

8 calls:

43.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
42.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
23.0ms	x
16.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
16.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
31.6b	2	`x`
32.9b	1	`y`
32.9b	1	`z`
30.7b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
30.7b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
30.7b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
30.7b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
32.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 328 to 210 computations (36% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.555197746131244e+284	3.0156086866777006e+286
0.0ms	1.765481968184932e-14	6.515544849510605e-9
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes194.0ms (0.7%)

Counts

22 → 4

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

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

Calls

8 calls:

48.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
42.0ms	(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)
24.0ms	x
18.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)
17.0ms	(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)

Results

Error	Segments	Branch
31.6b	2	`x`
32.9b	1	`y`
32.9b	1	`z`
30.7b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
30.7b	4	`(+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000)`
30.7b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
30.7b	4	`(.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z)`
32.9b	1	`(+.f64 y 7936500793651/10000000000000000)`

Compiler

Compiled 310 to 199 computations (35.8% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	6.555197746131244e+284	3.0156086866777006e+286
0.0ms	1.765481968184932e-14	6.515544849510605e-9
0.0ms	-1.1480399756274472e+52	-1.9012984820494375e+40

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes59.0ms (0.2%)

Counts

21 → 2

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(/.f64 1 (/.f64 (-.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (-.f64 8444480278083503881401098089/10000000000000000000000000000 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 7936500793651/10000000000000000 (.f64 z z)) (*.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x))

Outputs

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z (*.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x))

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

Calls

3 calls:

23.0ms	x
14.0ms	z
13.0ms	y

Results

Error	Segments	Branch
32.1b	2	`x`
33.4b	1	`y`
33.4b	1	`z`

Compiler

Compiled 236 to 144 computations (39% saved)

bsearch36.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
35.0ms	4.3701877893316864e+73	4.43520317375441e+74

Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes89.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs

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

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

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

Calls

3 calls:

28.0ms	x
28.0ms	y
27.0ms	z

Results

Error	Segments	Branch
32.9b	3	`x`
33.2b	3	`y`
32.1b	3	`z`

Compiler

Compiled 177 to 108 computations (39% saved)

bsearch228.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
202.0ms	4686.43506468568	3831906.871679812
26.0ms	-22864.792004393945	-1.7173841513645256e-7

Compiler

Compiled 339 to 241 computations (28.9% saved)

regimes82.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
91893853320467/100000000000000
(/.f64 83333333333333/1000000000000000 x)
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (/.f64 83333333333333/1000000000000000 x))
(+.f64 91893853320467/100000000000000 (*.f64 83333333333333/1000000000000000 (/.f64 1 x)))
(-.f64 (+.f64 1 (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))) 1)
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 y (/.f64 (.f64 z z) x)))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z -13888888888889/5000000000000000) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x))
(+.f64 (neg.f64 x) (.f64 (.f64 z z) (/.f64 (+.f64 7936500793651/10000000000000000 y) x)))
(/.f64 (-.f64 (/.f64 6944444444444388888888888889/1000000000000000000000000000000 (*.f64 x x)) 8444480278083503881401098089/10000000000000000000000000000) (-.f64 (/.f64 83333333333333/1000000000000000 x) 91893853320467/100000000000000))
(+.f64 (neg.f64 x) (+.f64 (.f64 83333333333333/1000000000000000 (/.f64 1 x)) (.f64 -13888888888889/5000000000000000 (/.f64 z x))))
(+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x))

Outputs

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

(+.f64 (neg.f64 x) (/.f64 (+.f64 (*.f64 z (*.f64 z y)) 83333333333333/1000000000000000) x))

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

Calls

3 calls:

26.0ms	y
26.0ms	z
25.0ms	x

Results

Error	Segments	Branch
32.9b	3	`x`
33.3b	3	`y`
32.1b	3	`z`

Compiler

Compiled 163 to 101 computations (38% saved)

bsearch58.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	5.342019003114486	4686.43506468568
30.0ms	-22864.792004393945	-1.7173841513645256e-7

Compiler

Compiled 97 to 69 computations (28.9% saved)

regimes57.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

22.0ms	x
22.0ms	z
8.0ms	y

Results

Error	Segments	Branch
36.0b	2	`x`
39.9b	1	`y`
32.9b	3	`z`

Compiler

Compiled 98 to 63 computations (35.7% saved)

bsearch481.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
224.0ms	1.0535187530512331e-14	5.662165260708764e-12
257.0ms	-1.205779607312599e-7	-6.355735085454163e-12

Compiler

Compiled 433 to 329 computations (24% saved)

regimes51.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(+.f64 (neg.f64 x) (*.f64 (/.f64 z (/.f64 x y)) z))

Calls

3 calls:

24.0ms	z
18.0ms	x
6.0ms	y

Results

Error	Segments	Branch
38.5b	2	`x`
39.9b	1	`y`
37.1b	3	`z`

Compiler

Compiled 86 to 57 computations (33.7% saved)

bsearch604.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
379.0ms	1.0535187530512331e-14	5.662165260708764e-12
225.0ms	-1.205779607312599e-7	-6.355735085454163e-12

Compiler

Compiled 401 to 297 computations (25.9% saved)

regimes22.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
7.0ms	x
5.0ms	y

Results

Error	Segments	Branch
39.9b	1	`x`
39.9b	1	`y`
39.9b	1	`z`

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes13.0ms (0%)

Accuracy

Total -21.0b remaining (-52.1%)

Threshold costs -21.0b (-52.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(/.f64 83333333333333/1000000000000000 x)

Calls

3 calls:

5.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
40.4b	1	`x`
40.4b	1	`y`
40.4b	1	`z`

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

72×	`cancel-sign-sub-inv_binary64`
58×	`+-commutative_binary64`
46×	`distribute-rgt-neg-in_binary64`
34×	`*-commutative_binary64`
31×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	1529
1	254	1481
2	309	1481
3	348	1481
4	392	1481
5	466	1481
6	526	1481
7	578	1481
8	602	1481
9	610	1481

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x 3398722903599717934544158199144795346383855602871484678554523020772552593898477002141474593530024896770633430601013926181543370371993388499030425295771693706851944272119201792) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (.f64 (-.f64 1 (log.f64 x)) x))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896) (+.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 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (-.f64 1 (log.f64 x)) x)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 20000000000) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (/.f64 (.f64 (-.f64 (.f64 7936500793651/10000000000000000 z) 13888888888889/5000000000000000) z) x))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (-.f64 x (*.f64 x (log.f64 x)))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 5764607523034235/576460752303423488) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 -13888888888889/5000000000000000 (/.f64 z x)))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (-.f64 x (.f64 x (log.f64 x)))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 5764607523034235/576460752303423488) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (-.f64 x (*.f64 x (log.f64 x)))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 5764607523034235/576460752303423488) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (/.f64 1 (/.f64 x 83333333333333/1000000000000000))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (-.f64 1 (log.f64 x)) x)))))
(if (<=.f64 x 440) (+.f64 (neg.f64 x) (+.f64 (/.f64 83333333333333/1000000000000000 x) (.f64 (/.f64 z x) (fma.f64 z (+.f64 7936500793651/10000000000000000 y) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (-.f64 x (*.f64 x (log.f64 x))))))
(if (<=.f64 x 440) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (-.f64 x (*.f64 x (log.f64 x))))))
(if (<=.f64 x 440) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (*.f64 (-.f64 1 (log.f64 x)) x))))
(if (<=.f64 x 7932099951695107/9223372036854775808) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -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 440) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (-.f64 91893853320467/100000000000000 (+.f64 (.f64 (-.f64 1/2 x) (log.f64 x)) x)))
(if (<=.f64 x 440) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (-.f64 (.f64 x (log.f64 x)) x))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 6338253001141147/316912650057057350374175801344) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (+.f64 (neg.f64 x) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) z) (.f64 -13888888888889/5000000000000000 z)) 83333333333333/1000000000000000) x)) (+.f64 (neg.f64 x) (.f64 z (*.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 6338253001141147/316912650057057350374175801344) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))))))
(if (<=.f64 x 43701877893316863852051842276626674873860093616707217648975943509326430208) (+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z (+.f64 7936500793651/10000000000000000 y))) 83333333333333/1000000000000000) x)) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))))
(if (<=.f64 z -1) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 3800000) (+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 (-.f64 (.f64 z y) 13888888888889/5000000000000000) z) 83333333333333/1000000000000000) x)) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))))
(if (<=.f64 z -1) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 100) (+.f64 (neg.f64 x) (/.f64 (+.f64 (.f64 z (.f64 z y)) 83333333333333/1000000000000000) x)) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))))
(if (<=.f64 z -4533471823554859/37778931862957161709568) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y)))) (if (<=.f64 z 3466232109999065/618970019642690137449562112) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (+.f64 (neg.f64 x) (.f64 z (.f64 (/.f64 z x) (+.f64 7936500793651/10000000000000000 y))))))
(if (<=.f64 z -4533471823554859/37778931862957161709568) (+.f64 (neg.f64 x) (.f64 (/.f64 z (/.f64 x y)) z)) (if (<=.f64 z 3466232109999065/618970019642690137449562112) (+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x)) (+.f64 (neg.f64 x) (.f64 (/.f64 z (/.f64 x y)) z))))
(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000

Outputs
(if (<=.f64 x 3398722903599717934544158199144795346383855602871484678554523020772552593898477002141474593530024896770633430601013926181543370371993388499030425295771693706851944272119201792) (+.f64 (+.f64 (-.f64 (.f64 (-.f64 x 1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (/.f64 z (/.f64 x y)) z) (.f64 (-.f64 1 (log.f64 x)) x))))
(if (<=.f64 x 3398722903599717934544158199144795346383855602871484678554523020772552593898477002141474593530024896770633430601013926181543370371993388499030425295771693706851944272119201792) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 z (/.f64 z (/.f64 x y))) (.f64 x (-.f64 1 (log.f64 x))))))
(if (<=.f64 x 3398722903599717934544158199144795346383855602871484678554523020772552593898477002141474593530024896770633430601013926181543370371993388499030425295771693706851944272119201792) (+.f64 (+.f64 (-.f64 (.f64 (+.f64 x -1/2) (log.f64 x)) x) 91893853320467/100000000000000) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 z (/.f64 z (/.f64 x y))) (.f64 x (+.f64 (log.f64 x) -1)))))
(if (<=.f64 x 3398722903599717934544158199144795346383855602871484678554523020772552593898477002141474593530024896770633430601013926181543370371993388499030425295771693706851944272119201792) (+.f64 (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (log.f64 x) (+.f64 x -1/2)) x)) (+.f64 (/.f64 83333333333333/1000000000000000 x) (+.f64 (.f64 (/.f64 z x) (.f64 z (+.f64 7936500793651/10000000000000000 y))) (.f64 (/.f64 z x) -13888888888889/5000000000000000)))) (+.f64 91893853320467/100000000000000 (+.f64 (.f64 z (/.f64 z (/.f64 x y))) (.f64 x (+.f64 (log.f64 x) -1)))))
(if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) -9999999999999999932209486743616279764617084419440640) (+.f64 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (.f64 (-.f64 1 (log.f64 x)) x))) (if (<=.f64 (.f64 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) z) 13888888888889/5000000000000000) z) 500000000000000026034570400124927876004592539875482072325045332488532471681254331635155702257359693082921654364459783965051206883716948932927829134579484022857251800882845394447562090716355667888496475007621811653869304473468681376009259035209043234590657258402459296670416896) (+.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 91893853320467/100000000000000 (-.f64 (.f64 (+.f64 y 7936500793651/10000000000000000) (.f64 z (/.f64 z x))) (*.f64 (-.f64 1 (log.f64 x)) x)))))
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(+.f64 91893853320467/100000000000000 (/.f64 83333333333333/1000000000000000 x))
(/.f64 83333333333333/1000000000000000 x)
91893853320467/100000000000000

Compiler

Compiled 1064 to 698 computations (34.4% saved)

soundness613.0ms (2.1%)

Algorithm

3×	egg-herbie

Rules

729×	`associate-/l*_binary64`
708×	`fma-neg_binary64`
708×	`fma-neg_binary64`
688×	`fma-def_binary64`
592×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	32
1	43	32
2	100	31
3	298	30
4	672	30
5	1488	30
6	2883	30
7	4996	30
8	6404	30
0	79	1449
1	203	1310
2	440	1280
3	1086	1206
4	3539	1118
0	79	1449
1	203	1310
2	440	1280
3	1086	1206
4	3539	1118

Stop Event

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

Compiler

Compiled 754 to 556 computations (26.3% saved)

end1.3s (4.3%)

Compiler: Compiled 1001 to 584 computations (41.7% saved)