Details

analyze9.0ms (0.2%)

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 (63.9%)

Results

1.7s	3935×	body	1024	valid
564.0ms	2001×	body	512	valid
308.0ms	1883×	body	256	valid
187.0ms	437×	body	2048	valid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess58.0ms (1.3%)

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)

simplify65.0ms (1.5%)

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

57.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.9b	(/.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)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	5.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series2.0ms (0.1%)

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	@	0	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite108.0ms (2.5%)

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))))))))

simplify67.0ms (1.5%)

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))

eval69.0ms (1.6%)

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

prune10.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Error

Counts

90 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶	1.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
▶	0.0b	(tanh.f64 x)
	2.1b	x

Compiler

Compiled 25 to 19 computations (24% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.2%)

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)))))))

simplify66.0ms (1.5%)

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)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)
✓	0.0b	(/.f64 1 (*.f64 2 (cosh.f64 x)))
✓	1.0b	(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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))))
1.0ms	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))))

rewrite101.0ms (2.3%)

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 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(#(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)))))))

simplify95.0ms (2.2%)

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))))
(*.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 (.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 (exp.f64 (log1p.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)))) 1)
(/.f64 2 (/.f64 (cosh.f64 x) (*.f64 (sinh.f64 x) 1/2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (.f64 2 (sinh.f64 x)) (neg.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.f64 x))))
(/.f64 (/.f64 (sinh.f64 x) (cosh.f64 x)) 1)
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sqrt.f64 (sinh.f64 x)))))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (sinh.f64 x))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cosh.f64 x) (cbrt.f64 (sinh.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cbrt.f64 (sinh.f64 x)))))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)))
(/.f64 (*.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))) 1/2)
(/.f64 1/2 (/.f64 (cosh.f64 x) (*.f64 2 (sinh.f64 x))))
(/.f64 -1 (/.f64 (.f64 (cosh.f64 x) -2) (.f64 2 (sinh.f64 x))))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2))) (/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) (.f64 2 (.f64 2 (cosh.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (pow.f64 (cbrt.f64 (/.f64 1/2 (cosh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (cosh.f64 x))))
(/.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (sinh.f64 x))))
(/.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 (.f64 2 (cosh.f64 x)) (cbrt.f64 (sinh.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) (cbrt.f64 (/.f64 1/2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) -1) (*.f64 (cosh.f64 x) -2))
(/.f64 (*.f64 (sinh.f64 x) -1) (neg.f64 (cosh.f64 x)))
(/.f64 (/.f64 1 (cosh.f64 x)) (/.f64 1 (sinh.f64 x)))
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(*.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)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (.f64 2 (sinh.f64 x)) (neg.f64 (.f64 (cosh.f64 x) -2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1 (*.f64 (cosh.f64 x) (/.f64 1 (sinh.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 (sqrt.f64 (sinh.f64 x)) (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sqrt.f64 (sinh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (cosh.f64 x) (sqrt.f64 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 2)))
(.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) (/.f64 2 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 (sinh.f64 x)) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x))))
(/.f64 (sqrt.f64 2) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (sinh.f64 x))))
(.f64 (/.f64 (sqrt.f64 2) (/.f64 2 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (/.f64 (sqrt.f64 2) (.f64 2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (cbrt.f64 (sinh.f64 x)) (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (cosh.f64 x) (cbrt.f64 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cbrt.f64 (sinh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (.f64 2 (cosh.f64 x)) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 2 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))) (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x))))
(/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (/.f64 (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (/.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (*.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))) 1/2)
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 1/2 (/.f64 (cosh.f64 x) (*.f64 2 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 -1 (/.f64 (.f64 (cosh.f64 x) -2) (.f64 2 (sinh.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (/.f64 2 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))) (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (/.f64 (/.f64 (.f64 2 (cosh.f64 x)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))))))
(.f64 (/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (/.f64 2 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cosh.f64 x)))) (sqrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (.f64 (/.f64 (fabs.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (.f64 2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x)))))
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(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)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.1b	(*.f64 -1/3 (pow.f64 x 3))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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)

rewrite63.0ms (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)))))))

simplify63.0ms (1.4%)

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)

eval141.0ms (3.2%)

Compiler: Compiled 7509 to 4695 computations (37.5% saved)

prune69.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	461	1	462
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	462	4	466

Error

Counts

466 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	2.1b	x

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	1.0b	(/.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))

rewrite292.0ms (6.6%)

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))))))))

simplify55.0ms (1.3%)

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))

eval26.0ms (0.6%)

Compiler: Compiled 1574 to 710 computations (54.9% saved)

prune15.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Error

Counts

127 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	2.1b	x

Compiler

Compiled 19 to 13 computations (31.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(/.f64 (sinh.f64 x) (cosh.f64 x))
✓	1.8b	(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓	0.0b	(tanh.f64 x)
	2.1b	x

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.2%)

Accuracy

Total -58.9b remaining (-215550.2%)

Threshold costs -58.9b (-215550.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(tanh.f64 x)

Calls

2 calls:

4.0ms	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
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))`

Compiler

Compiled 56 to 31 computations (44.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(tanh.f64 x)
x

Outputs
(tanh.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness79.0ms (1.8%)

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)

end13.0ms (0.3%)

Compiler: Compiled 4 to 2 computations (50% saved)

Details

analyze9.0ms (0.2%)

sample2.8s (63.9%)

preprocess58.0ms (1.3%)

simplify65.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series2.0ms (0.1%)

rewrite108.0ms (2.5%)

simplify67.0ms (1.5%)

eval69.0ms (1.6%)

prune10.0ms (0.2%)

localize2.0ms (0%)

series3.0ms (0.1%)

rewrite52.0ms (1.2%)

simplify66.0ms (1.5%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

rewrite101.0ms (2.3%)

simplify95.0ms (2.2%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite63.0ms (1.4%)

simplify63.0ms (1.4%)

eval141.0ms (3.2%)

prune69.0ms (1.6%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite292.0ms (6.6%)

simplify55.0ms (1.3%)

eval26.0ms (0.6%)

prune15.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes9.0ms (0.2%)

simplify4.0ms (0.1%)

soundness79.0ms (1.8%)

end13.0ms (0.3%)

Profiling