Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	0%	0%	25%	4
80%	50%	12.5%	0%	0%	0%	37.5%	5
88.9%	50%	6.2%	0%	0%	0%	43.7%	6
94.1%	50%	3.1%	0%	0%	0%	46.9%	7
97%	50%	1.6%	0%	0%	0%	48.4%	8
97%	50%	1.6%	0%	0%	0%	48.4%	9
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	10
97.7%	50.4%	1.2%	0%	0%	0%	48.4%	11
97.9%	50.4%	1.1%	0%	0%	0%	48.5%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample2.8s (48.1%)

Results

1.9s	3999×	body	1024	valid
501.0ms	2038×	body	512	valid
241.0ms	416×	body	2048	valid
221.0ms	1803×	body	256	valid
1.0ms	8×	body	256	unsamplable

Bogosity

preprocess60.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-r`
804×	`*-commutative`
774×	`fma-def`
770×	`times-frac`
752×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	43
1	22	43
2	36	43
3	61	43
4	130	43
5	351	43
6	1046	43
7	2825	43
8	5986	43

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval0.0ms (0%)

Compiler: Compiled 14 to 7 computations (50% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

90.66%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	90.66%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 14 to 7 computations (50% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	2.71%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	11.02%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	0	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite100.0ms (1.7%)

Algorithm

3×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

238×	`add-sqr-sqrt`
238×	`add-sqr-sqrt`
230×	`pow1`
230×	`*-un-lft-identity`
230×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	226	33
2	4074	33
0	8	11
1	170	11
2	2644	11
0	8	11
0	10	5
1	226	5
2	4074	5
0	10	5
0	8	11
1	169	11
2	2616	11
0	8	11

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 37

Calls

Call 1

Inputs
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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

Outputs

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

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

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

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

860×	`associate--r+`
792×	`associate-/l*`
604×	`associate-/r*`
584×	`associate-*r/`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1097
1	360	1045
2	1524	1023
3	5523	1023

Stop Event

1×	node limit

Counts

69 → 89

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(pow.f64 (tanh.f64 x) 1)
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 5) 2/15 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))))
(tanh.f64 x)
2
(+.f64 2 (pow.f64 x 2))
(+.f64 2 (*.f64 x x))
(fma.f64 x x 2)
(+.f64 2 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 2 (.f64 x x)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (fma.f64 x x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 2)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 1 (.f64 2 (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x))))
(/.f64 (-.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 -2) x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(*.f64 2 (sinh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 2 (sinh.f64 x))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 (cbrt.f64 (tanh.f64 x)) (cbrt.f64 (tanh.f64 x))) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (.f64 (.f64 (tanh.f64 x) (tanh.f64 x)) (tanh.f64 x)))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)
(tanh.f64 x)
(.f64 1 (.f64 2 (cosh.f64 x)))
(*.f64 2 (cosh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(*.f64 2 (cosh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (cosh.f64 x))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 -1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (.f64 x -2))))
(/.f64 (+.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 x) 2) (expm1.f64 (*.f64 x -2))))
(pow.f64 (*.f64 2 (cosh.f64 x)) 1)
(*.f64 2 (cosh.f64 x))
(log.f64 (exp.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (cosh.f64 x))))
(*.f64 2 (cosh.f64 x))

eval22.0ms (0.4%)

Compiler: Compiled 1461 to 653 computations (55.3% saved)

prune47.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Error

Counts

90 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	90.66%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))
▶	3.13%	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	4.11%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	2.77%	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
▶	0.03%	(tanh.f64 x)
	4.03%	x

Compiler

Compiled 100 to 77 computations (23% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(tanh.f64 x)
1.0ms	x	@	inf	(tanh.f64 x)
0.0ms	x	@	0	(tanh.f64 x)

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`add-sqr-sqrt`
1124×	`*-un-lft-identity`
1084×	`pow1`
1050×	`add-cube-cbrt`
1042×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	95	5
2	1318	5

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(tanh.f64 x)

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

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-r`
1146×	`associate-+l+`
1052×	`associate-l`
1036×	`associate-+r+`
742×	`associate-+r-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	283
1	256	283
2	1016	283
3	6073	283

Stop Event

1×	node limit

Counts

43 → 41

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(*.f64 (tanh.f64 x) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(log.f64 (exp.f64 (tanh.f64 x)))
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(tanh.f64 x)
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(tanh.f64 x)
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (.f64 x -2)))) (/.f64 (exp.f64 (.f64 x -2)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(tanh.f64 x)
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(-.f64 (/.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 2) x))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(*.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(*.f64 1 (tanh.f64 x))
(tanh.f64 x)
(*.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(*.f64 (cbrt.f64 (tanh.f64 x)) (pow.f64 (cbrt.f64 (tanh.f64 x)) 2))
(tanh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)))
(tanh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x -2)))))
(tanh.f64 x)
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) x)) (expm1.f64 (*.f64 x 2))))
(tanh.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x -2))) (-.f64 1 (exp.f64 (.f64 x -2)))))
(tanh.f64 x)
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(tanh.f64 x)
(/.f64 (expm1.f64 (*.f64 x 2)) (+.f64 1 (pow.f64 (exp.f64 2) x)))
(tanh.f64 x)
(/.f64 (-.f64 1 (exp.f64 (.f64 x -2))) (+.f64 1 (exp.f64 (.f64 x -2))))
(tanh.f64 x)
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(tanh.f64 x)
(/.f64 (neg.f64 (expm1.f64 (*.f64 x 2))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 2) x))))
(tanh.f64 x)
(/.f64 (neg.f64 (-.f64 1 (exp.f64 (.f64 x -2)))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x -2)))))
(tanh.f64 x)
(pow.f64 (tanh.f64 x) 1)
(tanh.f64 x)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(tanh.f64 x)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(tanh.f64 x)
(pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)
(tanh.f64 x)
(sqrt.f64 (pow.f64 (tanh.f64 x) 2))
(tanh.f64 x)
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
(tanh.f64 x)
(expm1.f64 (log1p.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (log.f64 (tanh.f64 x)))
(tanh.f64 x)
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(tanh.f64 x)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.2%	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
0.0ms	x	@	inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(*.f64 -1/3 (pow.f64 x 3))
0.0ms	x	@	-inf	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)

rewrite82.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1702×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1600×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	180	28
2	2168	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 x 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))))))

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

828×	`associate-*r/`
676×	`associate-*l/`
648×	`+-commutative`
606×	`associate--r+`
558×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1289
1	286	1239
2	1157	1171
3	5224	1171

Stop Event

1×	node limit

Counts

53 → 57

Calls

Call 1

Inputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))

Outputs
x
(*.f64 -1/3 (pow.f64 x 3))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3)))) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) 2)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (.f64 (log.f64 (.f64 -1/3 (pow.f64 x 3))) 1))
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(*.f64 -1/3 (pow.f64 x 3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x))) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (/.f64 1 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (*.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/3 (pow.f64 x 3)) x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))) (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3)) (+.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 3) (*.f64 -1/3 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (pow.f64 x 6) 1/9)) (-.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x))) (neg.f64 (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x x)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(/.f64 (fma.f64 x x (*.f64 (pow.f64 x 6) -1/9)) (fma.f64 (pow.f64 x 3) 1/3 x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 -1/3 (pow.f64 x 3)) 3))) (neg.f64 (+.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 x (-.f64 x (.f64 -1/3 (pow.f64 x 3)))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 3) (.f64 -1/27 (pow.f64 (pow.f64 x 3) 3))) 1) (fma.f64 (pow.f64 x 6) 1/9 (.f64 x (+.f64 x (.f64 1/3 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (.f64 (pow.f64 x 3) 1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 -1/27 (pow.f64 (pow.f64 x 3) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 (pow.f64 x 6) 1/9 (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 2)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3) 1/3)
(fma.f64 -1/3 (pow.f64 x 3) x)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 2))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x))))
(fma.f64 -1/3 (pow.f64 x 3) x)
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 3))
(fma.f64 -1/3 (pow.f64 x 3) x)
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) x)) 1))
(fma.f64 -1/3 (pow.f64 x 3) x)
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 x (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 -1/3)) 2) (.f64 x (cbrt.f64 -1/3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) x)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(sinh.f64 x)
✓	0.02%	(/.f64 1 (*.f64 2 (cosh.f64 x)))
✓	2.73%	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
1.0ms	x	@	inf	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
0.0ms	x	@	inf	(/.f64 1 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (*.f64 2 (cosh.f64 x)))
0.0ms	x	@	0	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

rewrite111.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`associate-*r/`
1080×	`*-commutative`
1038×	`associate-/r*`
988×	`associate-*l/`
864×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	249	31
2	3097	31

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

Inputs
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 1 (*.f64 2 (cosh.f64 x)))
(sinh.f64 x)

Outputs

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

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1314×	`associate-l`
1184×	`associate-/r*`
760×	`associate-/l/`
706×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	8288
1	1614	8228

Stop Event

1×	node limit

Counts

290 → 364

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 5/48 (pow.f64 x 4))))
(+.f64 (.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
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(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
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(/.f64 (/.f64 (.f64 (.f64 2 (sinh.f64 x)) (sqrt.f64 (/.f64 1/2 (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) 1) (cbrt.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (cbrt.f64 2)) (cbrt.f64 (cosh.f64 x)))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (/.f64 2 (/.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (sinh.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (cbrt.f64 (.f64 2 (cosh.f64 x)))))) (cbrt.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) 2) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) 1) (.f64 (cosh.f64 x) -2))
(/.f64 (/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)) -2)
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (neg.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2)) (neg.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) -1) (.f64 2 (cosh.f64 x)))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 (cosh.f64 x) -2))) (sqrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (.f64 (cbrt.f64 (.f64 (cosh.f64 x) -2)) (cbrt.f64 (.f64 (cosh.f64 x) -2)))) (cbrt.f64 (*.f64 (cosh.f64 x) -2)))
(/.f64 (/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) (neg.f64 (cosh.f64 x))) 2)
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))))) (sqrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2))) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) (pow.f64 (.f64 2 (sinh.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x)))) 1)
(*.f64 2 (/.f64 1/4 (cosh.f64 x)))
(*.f64 1 (/.f64 1/2 (cosh.f64 x)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) (sqrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2) (cbrt.f64 (/.f64 1/2 (cosh.f64 x))))
(*.f64 1/2 (/.f64 1 (cosh.f64 x)))
(*.f64 1/2 (pow.f64 (cosh.f64 x) -1))
(*.f64 -1 (/.f64 -1/2 (cosh.f64 x)))
(*.f64 (/.f64 1/4 (cosh.f64 x)) 2)
(*.f64 (/.f64 -1/2 (cosh.f64 x)) -1)
(*.f64 (/.f64 1 (cosh.f64 x)) 1/2)
(*.f64 (pow.f64 (cosh.f64 x) -1) 1/2)
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) -1) (pow.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) -1))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2) -1))
(.f64 (/.f64 1 (.f64 2 (*.f64 2 (cosh.f64 x)))) 2)
(.f64 (/.f64 1/2 (.f64 (cosh.f64 x) -2)) -2)
(.f64 (/.f64 1 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 2 (sinh.f64 x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (-.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (/.f64 (exp.f64 x) (exp.f64 x)))))
(.f64 (/.f64 (/.f64 1/2 (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (.f64 2 (cosh.f64 x)))) (cbrt.f64 2))
(pow.f64 (*.f64 2 (cosh.f64 x)) -1)
(pow.f64 (/.f64 1/2 (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3) 1/3)
(sqrt.f64 (/.f64 1/4 (pow.f64 (cosh.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 1/2 (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1/2 (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 1/2 (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (cosh.f64 x))))
(+.f64 (.f64 1/2 (exp.f64 x)) (.f64 1/2 (neg.f64 (exp.f64 (neg.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 x))) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(.f64 1/2 (.f64 2 (sinh.f64 x)))
(/.f64 2 (/.f64 2 (sinh.f64 x)))
(/.f64 (sinh.f64 x) 1)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 1 (/.f64 1 (sinh.f64 x)))
(/.f64 1 (*.f64 1 (/.f64 1 (sinh.f64 x))))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 2 (*.f64 2 (sqrt.f64 (sinh.f64 x)))))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (sqrt.f64 (sinh.f64 x))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 2 (*.f64 2 (cbrt.f64 (sinh.f64 x)))))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 2 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 4)
(/.f64 (*.f64 2 (sqrt.f64 (sinh.f64 x))) (/.f64 2 (sqrt.f64 (sinh.f64 x))))
(/.f64 (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 2 (cbrt.f64 (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 2 (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x)))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(/.f64 (.f64 1 (neg.f64 (.f64 2 (sinh.f64 x)))) -2)
(/.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 2))
(/.f64 (.f64 1/2 (.f64 2 (*.f64 2 (sinh.f64 x)))) 2)
(/.f64 (.f64 1/2 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 x))) 1) -2)
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 1/2) (*.f64 2 (cosh.f64 x)))
(/.f64 (.f64 (.f64 2 (*.f64 2 (sinh.f64 x))) 1/2) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1/2) (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 2))
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (.f64 -1/4 (.f64 x x)))
(+.f64 1/2 (.f64 (.f64 -1/4 x) x))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 5/48 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 5/48 (pow.f64 x 4))))
(+.f64 (.f64 -61/1440 (pow.f64 x 6)) (+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (*.f64 5/48 (pow.f64 x 4)))))
(fma.f64 -61/1440 (pow.f64 x 6) (+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 5/48 (pow.f64 x 4)))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(+.f64 (.f64 (/.f64 1/2 (cosh.f64 x)) (exp.f64 x)) (.f64 (/.f64 1/2 (cosh.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 1/2 (cosh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 2 (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) 1/2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
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(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (.f64 2 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 4 (cosh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 2 (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 2 (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (-.f64 (neg.f64 x) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 2) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(sinh.f64 x)
(/.f64 (.f64 1 (neg.f64 (.f64 2 (sinh.f64 x)))) -2)
(sinh.f64 x)
(/.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(/.f64 (.f64 1/2 (.f64 2 (*.f64 2 (sinh.f64 x)))) 2)
(sinh.f64 x)
(/.f64 (.f64 1/2 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 2 (cosh.f64 x)))
(*.f64 1/4 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x)))
(/.f64 (.f64 1/2 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x))))
(/.f64 1/2 (/.f64 (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (-.f64 (neg.f64 x) x)))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 1/2 (/.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 (.f64 (neg.f64 (.f64 2 (sinh.f64 x))) 1) -2)
(sinh.f64 x)
(/.f64 (.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) 1/2) (*.f64 2 (cosh.f64 x)))
(*.f64 1/4 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (cosh.f64 x)))
(/.f64 (.f64 (.f64 2 (*.f64 2 (sinh.f64 x))) 1/2) 2)
(sinh.f64 x)
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1/2) (+.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) (/.f64 (exp.f64 x) (exp.f64 x))))
(/.f64 1/2 (/.f64 (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (-.f64 (neg.f64 x) x)))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 1/2 (/.f64 (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 2)) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(/.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 2)) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(pow.f64 (sinh.f64 x) 1)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(fabs.f64 (sinh.f64 x))
(log.f64 (exp.f64 (sinh.f64 x)))
(sinh.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sinh.f64 x))))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(sinh.f64 x)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.71%	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))
	11.02%	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 33 to 12 computations (63.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))

1.0ms

inf

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))

0.0ms

(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))

rewrite43.0ms (0.7%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

270×	`add-sqr-sqrt`
260×	`pow1`
260×	`*-un-lft-identity`
254×	`add-exp-log`
252×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	261	27
2	4547	27
0	12	27

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 11

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))

Outputs

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

934×	`associate-r`
818×	`associate-l`
702×	`associate-+l+`
636×	`distribute-rgt-in`
626×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	905
1	153	905
2	534	905
3	3651	373

Stop Event

1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (/.f64 (exp.f64 x) (.f64 2 (cosh.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
	0.01%	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
	0.02%	(sinh.f64 x)
✓	2.66%	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 46 to 21 computations (54.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
1.0ms	x	@	-inf	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	-inf	(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
0.0ms	x	@	0	(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite260.0ms (4.4%)

Algorithm

2×	egg-rewrite
1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

1462×	`add-sqr-sqrt`
1444×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1326×	`add-cbrt-cube`
1312×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	292	54
2	4388	54
0	14	27
1	292	27
2	4388	27
0	14	27
0	9	11
1	178	11
2	1868	11

Stop Event

1×	node limit
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 38

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

Outputs

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

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

simplify75.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1590×	`associate-*r/`
1262×	`associate-/l*`
906×	`associate-*l/`
608×	`times-frac`
572×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1638
1	338	1416
2	1555	1268

Stop Event

1×	node limit

Counts

62 → 75

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 x 2 (*.f64 (pow.f64 x 3) 1/3))
(fma.f64 (pow.f64 x 3) 1/3 (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/60)))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 1/60)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 (pow.f64 x 5) 1/60))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 1/60 (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 x 2 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 7) 1/2520 (*.f64 (pow.f64 x 5) 1/60))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 (sinh.f64 x) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (exp.f64 (.f64 3 x)) (exp.f64 (.f64 x -3))) (+.f64 1 (+.f64 (exp.f64 (+.f64 x x)) (pow.f64 (exp.f64 x) -2))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(+.f64 1 (-.f64 (*.f64 2 (sinh.f64 x)) 1))
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))

eval301.0ms (5.1%)

Compiler: Compiled 11807 to 6853 computations (42% saved)

prune201.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	694	2	696
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	697	5	702

Error

Counts

702 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.76%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	3.06%	(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
✓	4.11%	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.03%	(tanh.f64 x)
	4.03%	x

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 1 (sinh.f64 x))
	0.02%	(sinh.f64 x)
✓	0.31%	(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
✓	2.72%	(*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x)))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x)))
1.0ms	x	@	inf	(*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x)))
0.0ms	x	@	-inf	(/.f64 1 (sinh.f64 x))
0.0ms	x	@	inf	(/.f64 1 (sinh.f64 x))
0.0ms	x	@	0	(/.f64 1 (sinh.f64 x))

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1390×	`associate-*r/`
962×	`associate-/r*`
934×	`associate-*l/`
908×	`*-commutative`
570×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	210	41
2	2648	41

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs
(*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x)))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
(/.f64 1 (sinh.f64 x))

Outputs

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

simplify123.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

950×	`distribute-lft-in`
948×	`distribute-rgt-in`
946×	`associate-/l*`
660×	`associate-/l/`
554×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	574	7667
1	1431	7515
2	6033	7515

Stop Event

1×	node limit

Counts

271 → 362

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/3 x) (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (/.f64 1 x)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/945 (pow.f64 x 5)))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 1)
(/.f64 (cosh.f64 x) (sinh.f64 x))
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(/.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) 1) (cbrt.f64 (sinh.f64 x)))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) -1) (sinh.f64 x))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sqrt.f64 (neg.f64 (sinh.f64 x)))) (sqrt.f64 (neg.f64 (sinh.f64 x))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (*.f64 (cbrt.f64 (neg.f64 (sinh.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 x))))) (cbrt.f64 (neg.f64 (sinh.f64 x))))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sinh.f64 x)))
(/.f64 (/.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))
(/.f64 (neg.f64 (neg.f64 (cosh.f64 x))) (sinh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x)))
(neg.f64 (/.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (sinh.f64 x) 3)) (pow.f64 (cosh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (pow.f64 (/.f64 1 (sinh.f64 x)) -1))
(*.f64 -1 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 -1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(.f64 (.f64 (/.f64 1 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(.f64 (/.f64 1 (.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 1/2 (cosh.f64 x)) (.f64 (sinh.f64 x) 2))
(*.f64 (/.f64 -1 (cosh.f64 x)) (neg.f64 (sinh.f64 x)))
(*.f64 (pow.f64 (/.f64 1 (sinh.f64 x)) -1) (/.f64 1 (cosh.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) 2) -1))
(*.f64 (/.f64 1 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (.f64 (cosh.f64 x) 2)) 2)
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2)) (cbrt.f64 (cosh.f64 x))) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 (.f64 (/.f64 1 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))) 1) (sqrt.f64 (sinh.f64 x)))
(.f64 (/.f64 (/.f64 1 (.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))) 1) (cbrt.f64 (sinh.f64 x)))
(.f64 (/.f64 1 (/.f64 (.f64 (cosh.f64 x) 2) (sinh.f64 x))) 2)
(.f64 (/.f64 (sinh.f64 x) (.f64 -2 (cosh.f64 x))) -2)
(.f64 (/.f64 (.f64 (/.f64 1 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (sinh.f64 x))))
(.f64 (/.f64 (/.f64 1 (.f64 (cosh.f64 x) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))) -1) (cbrt.f64 (neg.f64 (sinh.f64 x))))
(.f64 (/.f64 1 (.f64 -2 (cosh.f64 x))) (*.f64 -2 (sinh.f64 x)))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (sinh.f64 x)))) 1)
(*.f64 1 (/.f64 1 (sinh.f64 x)))
(*.f64 (/.f64 1 (sinh.f64 x)) 1)
(*.f64 (pow.f64 (sinh.f64 x) -1/2) (pow.f64 (sinh.f64 x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (pow.f64 (sinh.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (/.f64 1 (cbrt.f64 (sinh.f64 x))))
(*.f64 -1 (/.f64 -1 (sinh.f64 x)))
(*.f64 2 (/.f64 1/2 (sinh.f64 x)))
(*.f64 (/.f64 -1 (sinh.f64 x)) -1)
(*.f64 (/.f64 1/2 (sinh.f64 x)) 2)
(*.f64 (pow.f64 (sqrt.f64 (sinh.f64 x)) -1) (pow.f64 (sqrt.f64 (sinh.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sinh.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) -1) (pow.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) -1))
(.f64 (/.f64 1 (.f64 -2 (sinh.f64 x))) -2)
(.f64 (/.f64 (pow.f64 (sinh.f64 x) -1/2) (sqrt.f64 (.f64 (sinh.f64 x) 2))) (sqrt.f64 2))
(.f64 (/.f64 -1 (.f64 -2 (sinh.f64 x))) 2)
(.f64 (/.f64 (cbrt.f64 (pow.f64 (sinh.f64 x) -2)) (cbrt.f64 (.f64 (sinh.f64 x) 2))) (cbrt.f64 2))
(.f64 (/.f64 2 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (*.f64 (cosh.f64 x) 2))
(.f64 (/.f64 2 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (.f64 (cosh.f64 x) 2))))
(pow.f64 (sinh.f64 x) -1)
(pow.f64 (/.f64 1 (sinh.f64 x)) 1)
(pow.f64 (pow.f64 (sinh.f64 x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (sinh.f64 x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (sinh.f64 x) 3)) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sinh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sinh.f64 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (sinh.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (sinh.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (sinh.f64 x))))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 1/3 x) (/.f64 1 x))
(fma.f64 1/3 x (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 1/3 x (/.f64 1 x)))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x 1/3 (/.f64 1 x)))
(+.f64 (.f64 -1/45 (pow.f64 x 3)) (+.f64 (.f64 1/3 x) (+.f64 (/.f64 1 x) (*.f64 2/945 (pow.f64 x 5)))))
(fma.f64 -1/45 (pow.f64 x 3) (+.f64 (fma.f64 1/3 x (/.f64 1 x)) (*.f64 2/945 (pow.f64 x 5))))
(fma.f64 -1/45 (pow.f64 x 3) (fma.f64 x 1/3 (fma.f64 2/945 (pow.f64 x 5) (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 (pow.f64 x 5) 2/15 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 1 x)
(+.f64 (*.f64 -1/6 x) (/.f64 1 x))
(fma.f64 -1/6 x (/.f64 1 x))
(fma.f64 x -1/6 (/.f64 1 x))
(+.f64 (.f64 -1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 -1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x)))
(+.f64 (.f64 -31/15120 (pow.f64 x 5)) (+.f64 (.f64 -1/6 x) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 -31/15120 (pow.f64 x 5) (fma.f64 -1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 (pow.f64 x 5) -31/15120 (fma.f64 x -1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(/.f64 2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))) 1)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (cosh.f64 x) (pow.f64 (/.f64 1 (sinh.f64 x)) -1))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 1 (sinh.f64 x)) (/.f64 1 (cosh.f64 x)))
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) 1)
(/.f64 (cosh.f64 x) (sinh.f64 x))
(/.f64 (pow.f64 (sinh.f64 x) -1/2) (*.f64 (/.f64 1 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))))
(/.f64 (pow.f64 (sinh.f64 x) -1/2) (/.f64 (*.f64 1 (sqrt.f64 (sinh.f64 x))) (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (sinh.f64 x) -1/2) (sqrt.f64 (sinh.f64 x))) (cosh.f64 x))
(/.f64 (pow.f64 (sinh.f64 x) -1/2) (/.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (sinh.f64 x) -1/2) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (sqrt.f64 (cosh.f64 x)))
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localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.02%	(sinh.f64 x)
✓	2.71%	(/.f64 (sinh.f64 x) (cosh.f64 x))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1598×	`*-un-lft-identity`
1486×	`add-cube-cbrt`
1464×	`add-cbrt-cube`
156×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	148	15
2	1956	15

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 (sinh.f64 x) (cosh.f64 x))

Outputs

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

simplify58.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+r+`
1014×	`associate-+l+`
842×	`associate-*r/`
636×	`associate-*l/`
526×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1079
1	266	1055
2	1006	1055
3	4702	1055

Stop Event

1×	node limit

Counts

45 → 51

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 1 (/.f64 (sinh.f64 x) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 1 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (neg.f64 (sinh.f64 x)) (/.f64 1 (neg.f64 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (sinh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x))))
(.f64 (/.f64 (sinh.f64 x) (.f64 2 (cosh.f64 x))) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 1) (/.f64 (sqrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cbrt.f64 (cosh.f64 x))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (*.f64 (cbrt.f64 (cosh.f64 x)) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (sinh.f64 x) (*.f64 (pow.f64 (cbrt.f64 (cosh.f64 x)) 2) (cbrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cosh.f64 x))) (/.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (cosh.f64 x))) (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (cosh.f64 x))) (sqrt.f64 (cosh.f64 x)))
(/.f64 (sinh.f64 x) (*.f64 (sqrt.f64 (cosh.f64 x)) (sqrt.f64 (cosh.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) (pow.f64 (cbrt.f64 (cosh.f64 x)) 2))
(pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3) 1/3)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) -1)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(neg.f64 (/.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 2))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 3))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))) 1))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 x) (cosh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))

eval134.0ms (2.3%)

Compiler: Compiled 8678 to 3998 computations (53.9% saved)

prune92.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	555	2	557
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	556	6	562

Error

Counts

562 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.76%	(/.f64 (sinh.f64 x) (cosh.f64 x))
▶	4.33%	(/.f64 1 (/.f64 1 x))
▶	3.99%	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
✓	3.06%	(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
✓	0.03%	(tanh.f64 x)
	4.03%	x

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/3 x) (/.f64 1 x))
✓	0.33%	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
✓	0.57%	(*.f64 1/3 x)

Compiler

Compiled 26 to 19 computations (26.9% saved)

series5.0ms (0.1%)

Counts

3 → 21

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
0.0ms	x	@	0	(*.f64 1/3 x)
0.0ms	x	@	0	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
0.0ms	x	@	inf	(*.f64 1/3 x)

rewrite131.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`add-sqr-sqrt`
1944×	`*-un-lft-identity`
1824×	`add-cube-cbrt`
1808×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	196	43
2	2489	43

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

Inputs
(*.f64 1/3 x)
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
(+.f64 (*.f64 1/3 x) (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (*.f64 1/3 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/3 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/3 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/3 x) (/.f64 1 x)) (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x))) (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (*.f64 1/9 (*.f64 x x)) (/.f64 (*.f64 1/3 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/3 x (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/9 (*.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/3 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (*.f64 1/9 (*.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 1/9 (*.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1/3 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/3 x)) (sqrt.f64 (*.f64 1/3 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 x)) 2) (cbrt.f64 (*.f64 1/3 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/3 x))))))

simplify87.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

876×	`associate-/r*`
870×	`unswap-sqr`
710×	`+-commutative`
702×	`associate-*r/`
688×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2473
1	471	2331
2	1807	2301
3	7982	2301

Stop Event

1×	node limit

Counts

101 → 130

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/27 (pow.f64 x 7)) (+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(/.f64 1 x)
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(*.f64 1/3 x)
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)
(pow.f64 (*.f64 1/3 x) 1)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(exp.f64 (log.f64 (*.f64 1/3 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/3 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)
(*.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(.f64 (/.f64 1 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 1/3 x) (/.f64 1 x)))
(.f64 (/.f64 1 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)
(pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 1/9 (.f64 x x)) (-.f64 (.f64 1/3 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/3 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/3 x (/.f64 1 x)))
(*.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(*.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))))
(*.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))))
(.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/3 x) (/.f64 1 x))))
(.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x)))))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/3 x) (/.f64 1 x)) (-.f64 (.f64 1/9 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x))) (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(/.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/9 (.f64 x x)) (/.f64 (.f64 1/3 x) x))))
(/.f64 (neg.f64 (fma.f64 1/3 x (/.f64 1 x))) -1)
(/.f64 (neg.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/3 x) (/.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x)))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/9 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/3 x)))
(pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/3 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 1/3 x (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 1 (*.f64 1/3 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 (sqrt.f64 (.f64 1/3 x)) (sqrt.f64 (.f64 1/3 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/3 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 x)) 2) (cbrt.f64 (.f64 1/3 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/3 x))

Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) -1/3 x)
(+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) x))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/3 x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 1/9 (pow.f64 x 5) x))
(+.f64 (.f64 -1/27 (pow.f64 x 7)) (+.f64 (.f64 1/9 (pow.f64 x 5)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)))
(fma.f64 -1/27 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x)))
(fma.f64 -1/27 (pow.f64 x 7) (fma.f64 1/9 (pow.f64 x 5) (fma.f64 (pow.f64 x 3) -1/3 x)))
(fma.f64 -1/27 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 1/9 (pow.f64 x 5) x)))
(fma.f64 1/9 (pow.f64 x 5) (fma.f64 -1/27 (pow.f64 x 7) (fma.f64 (pow.f64 x 3) -1/3 x)))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 9 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (+.f64 (/.f64 9 (pow.f64 x 3)) (/.f64 81 (pow.f64 x 7))))
(+.f64 (/.f64 3 x) (-.f64 (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))) (/.f64 81 (pow.f64 x 7))))
(+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 -81 (pow.f64 x 7))) (/.f64 -9 (pow.f64 x 3))))
(+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 -9 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 -81 (pow.f64 x 7)))))
(/.f64 3 x)
(-.f64 (.f64 3 (/.f64 1 x)) (.f64 9 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 3 x) (/.f64 9 (pow.f64 x 3)))
(+.f64 (/.f64 3 x) (/.f64 -9 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (*.f64 9 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (-.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 9 (pow.f64 x 3))))
(+.f64 (/.f64 3 x) (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 x)) (.f64 27 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 9 (/.f64 1 (pow.f64 x 3))) (.f64 81 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 3 x) (/.f64 27 (pow.f64 x 5))) (+.f64 (/.f64 9 (pow.f64 x 3)) (/.f64 81 (pow.f64 x 7))))
(+.f64 (/.f64 3 x) (-.f64 (+.f64 (/.f64 27 (pow.f64 x 5)) (/.f64 -9 (pow.f64 x 3))) (/.f64 81 (pow.f64 x 7))))
(+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 3 x) (/.f64 -81 (pow.f64 x 7))) (/.f64 -9 (pow.f64 x 3))))
(+.f64 (/.f64 27 (pow.f64 x 5)) (+.f64 (/.f64 -9 (pow.f64 x 3)) (+.f64 (/.f64 3 x) (/.f64 -81 (pow.f64 x 7)))))
(/.f64 1 x)
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(*.f64 1/3 x)
(*.f64 x 1/3)
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 x))) 1)
(*.f64 x 1/3)
(pow.f64 (*.f64 1/3 x) 1)
(*.f64 x 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/3 x)) 2)
(*.f64 x 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/3 x)) 3)
(*.f64 x 1/3)
(pow.f64 (*.f64 1/27 (pow.f64 x 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(sqrt.f64 (.f64 1/9 (.f64 x x)))
(sqrt.f64 (.f64 x (.f64 x 1/9)))
(log.f64 (pow.f64 (exp.f64 1/3) x))
(*.f64 x 1/3)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 x))))
(*.f64 x 1/3)
(cbrt.f64 (*.f64 1/27 (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/27))
(expm1.f64 (log1p.f64 (*.f64 1/3 x)))
(*.f64 x 1/3)
(exp.f64 (log.f64 (*.f64 1/3 x)))
(*.f64 x 1/3)
(exp.f64 (.f64 (log.f64 (.f64 1/3 x)) 1))
(*.f64 x 1/3)
(log1p.f64 (expm1.f64 (*.f64 1/3 x)))
(*.f64 x 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))) 1)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(*.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(*.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(*.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/3 (/.f64 1 x)) -2)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(.f64 (/.f64 1 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 1/3 x) (/.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 x 1/3 (/.f64 -1 x)) (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))))
(/.f64 (fma.f64 x 1/3 (/.f64 -1 x)) (-.f64 (.f64 x (.f64 x 1/9)) (pow.f64 x -2)))
(.f64 (/.f64 1 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x))))
(.f64 (/.f64 1 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)) (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 1)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2) 2)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))) 3)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3) 1/3)
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -2))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))) 3))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) -1))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))
(/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x)))) 1)
(fma.f64 x 1/3 (/.f64 1 x))
(-.f64 (/.f64 (.f64 1/9 (.f64 x x)) (-.f64 (.f64 1/3 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/3 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(*.f64 1 (fma.f64 1/3 x (/.f64 1 x)))
(fma.f64 x 1/3 (/.f64 1 x))
(*.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(fma.f64 x 1/3 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2))
(fma.f64 x 1/3 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/3 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/3 x) x)))))
(.f64 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)))
(/.f64 1 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(/.f64 1 (/.f64 (-.f64 (.f64 1/3 x) (/.f64 1 x)) (-.f64 (.f64 1/9 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x))) (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))))
(.f64 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)))
(/.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(fma.f64 x 1/3 (/.f64 1 x))
(/.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x 1/3 (/.f64 1 x))) (pow.f64 (fma.f64 x 1/3 (/.f64 1 x)) -1/2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 1/3 x (/.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 1 (fma.f64 x 1/3 (/.f64 1 x)))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/3 (/.f64 1 x))) 2) (cbrt.f64 (/.f64 -1 (fma.f64 x -1/3 (/.f64 -1 x)))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/3 x) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x))))
(.f64 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/9 (.f64 x x)) (/.f64 (.f64 1/3 x) x))))
(.f64 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)))
(/.f64 (neg.f64 (fma.f64 1/3 x (/.f64 1 x))) -1)
(fma.f64 x 1/3 (/.f64 1 x))
(/.f64 (neg.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/3 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 1/27 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/9 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/3 x) x)))))
(.f64 (fma.f64 1/27 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/9 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 1/3 (/.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/27 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/9 (*.f64 x x) -1/3)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/9 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/3 x)))
(/.f64 (-.f64 (.f64 1/9 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/3) (/.f64 1 x)))
(/.f64 (fma.f64 1/9 (*.f64 x x) (neg.f64 (pow.f64 x -2))) (fma.f64 x 1/3 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/9 (pow.f64 x -2)) (fma.f64 x -1/3 (/.f64 1 x)))
(pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 1)
(fma.f64 x 1/3 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 2)
(fma.f64 x 1/3 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/3 x (/.f64 1 x))) 3)
(fma.f64 x 1/3 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3) 1/3)
(fma.f64 x 1/3 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 2))
(fma.f64 x 1/3 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x)))))
(fma.f64 x 1/3 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/3 x (/.f64 1 x)) 3))
(fma.f64 x 1/3 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/3 x (/.f64 1 x))) 1))
(fma.f64 x 1/3 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/3 x (/.f64 1 x))))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 1/3 x (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 1 (*.f64 1/3 x) (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 1/3 x)) (sqrt.f64 (.f64 1/3 x)) (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/3 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 x)) 2) (cbrt.f64 (.f64 1/3 x)) (/.f64 1 x))
(fma.f64 x 1/3 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/3 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/3))
(fma.f64 x 1/3 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

eval89.0ms (1.5%)

Compiler: Compiled 2267 to 1637 computations (27.8% saved)

prune23.0ms (0.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	175	9	184

Error

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.76%	(/.f64 (sinh.f64 x) (cosh.f64 x))
	95.76%	(/.f64 3 x)
✓	4.33%	(/.f64 1 (/.f64 1 x))
✓	3.99%	(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
✓	3.06%	(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
	95.76%	(/.f64 1 (*.f64 x 1/3))
	91.82%	(-.f64 (+.f64 1 x) 1)
✓	0.03%	(tanh.f64 x)
	4.03%	x

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes13.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(/.f64 3 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (*.f64 x 1/3))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
(tanh.f64 x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 2 (cosh.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Outputs
(tanh.f64 x)

Calls

2 calls:

8.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Results

Error	Segments	Branch
0.03%	1	`x`
0.03%	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 116 to 65 computations (44% saved)

regimes33.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(/.f64 3 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (*.f64 x 1/3))
(/.f64 1 (/.f64 1 x))
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))

Outputs
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
3.99%	1	`x`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -59.1b remaining (-2290.7%)

Threshold costs -59.1b (-2290.7%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(/.f64 3 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (*.f64 x 1/3))
(/.f64 1 (/.f64 1 x))

Outputs
x

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
4.03%	1	`x`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	15	31

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
x

Outputs
(tanh.f64 x)
(/.f64 1 (+.f64 (*.f64 1/3 x) (/.f64 1 x)))
(/.f64 1 (+.f64 (*.f64 x 1/3) (/.f64 1 x)))
x

Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

860×	`associate--r+`
792×	`associate-/l*`
604×	`associate-/r*`
584×	`associate-*r/`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	1097
1	360	1045
2	1524	1023
3	5523	1023

Stop Event

1×	node limit

Compiler

Compiled 29 to 10 computations (65.5% saved)

end21.0ms (0.4%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

Details

analyze6.0ms (0.1%)

sample2.8s (48.1%)

preprocess60.0ms (1%)

simplify67.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite100.0ms (1.7%)

simplify65.0ms (1.1%)

eval22.0ms (0.4%)

prune47.0ms (0.8%)

localize2.0ms (0%)

series4.0ms (0.1%)

rewrite50.0ms (0.8%)

simplify57.0ms (1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite82.0ms (1.4%)

simplify68.0ms (1.1%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

rewrite111.0ms (1.9%)

simplify127.0ms (2.1%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite43.0ms (0.7%)

simplify51.0ms (0.9%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite260.0ms (4.4%)

simplify75.0ms (1.3%)

eval301.0ms (5.1%)

prune201.0ms (3.4%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite91.0ms (1.5%)

simplify123.0ms (2.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite55.0ms (0.9%)

simplify58.0ms (1%)

eval134.0ms (2.3%)

prune92.0ms (1.6%)

localize19.0ms (0.3%)

series5.0ms (0.1%)

rewrite131.0ms (2.2%)

simplify87.0ms (1.5%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (0.8%)

simplify45.0ms (0.8%)

eval89.0ms (1.5%)

prune23.0ms (0.4%)

regimes13.0ms (0.2%)

regimes33.0ms (0.6%)

regimes5.0ms (0.1%)

simplify4.0ms (0.1%)

soundness81.0ms (1.4%)

end21.0ms (0.4%)

Profiling