Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12

Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.8s (62.3%)

Results

2.5s	4039×	body	1024	valid
674.0ms	1985×	body	512	valid
339.0ms	1827×	body	256	valid
273.0ms	405×	body	2048	valid
1.0ms	7×	body	256	invalid

preprocess105.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22
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)

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

720×	`fma-def_binary64`
478×	`fma-neg_binary64`
463×	`times-frac_binary64`
381×	`associate-/r/_binary64`
306×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	20	22
2	35	22
3	59	22
4	133	22
5	336	22
6	891	22
7	2601	22
8	6641	22

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

58.7b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.7b	(/.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 6 expressions with local error:

New	Error	Program
	4.1b	(-.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))))
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	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))))
✓	4.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 34 to 7 computations (79.4% saved)

series5.0ms (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	@	0	(-.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 (-.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)))

rewrite115.0ms (1.9%)

Algorithm

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

Rules

99×	`add-sqr-sqrt_binary64`
99×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
95×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	186	18
2	3652	18
0	6	6
1	130	6
2	2188	6
0	6	6
0	8	3
1	186	3
2	3652	3
0	8	3
0	6	6
1	129	6
2	2150	6
0	6	6

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

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
292×	`fma-def_binary64`
282×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
257×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	623
1	358	597
2	1369	586
3	5740	526

Stop Event

1×	node limit

Counts

69 → 91

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

eval25.0ms (0.4%)

Compiler: Compiled 1495 to 660 computations (55.9% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	4	92

Error

Counts

92 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.3b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶	0.0b	(tanh.f64 x)
▶	57.7b	(log.f64 (exp.f64 (tanh.f64 x)))
	1.7b	x

Compiler

Compiled 33 to 23 computations (30.3% saved)

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.9b	(log.f64 (exp.f64 (tanh.f64 x)))
	0.0b	(tanh.f64 x)
	0.0b	(exp.f64 (tanh.f64 x))
✓	0.0b	(exp.f64 (tanh.f64 x))
✓	0.0b	(tanh.f64 x)
✓	3.9b	(log.f64 (exp.f64 (tanh.f64 x)))

Compiler

Compiled 11 to 4 computations (63.6% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log.f64 (exp.f64 (tanh.f64 x)))
1.0ms	x	@	inf	(log.f64 (exp.f64 (tanh.f64 x)))
1.0ms	x	@	0	(log.f64 (exp.f64 (tanh.f64 x)))
0.0ms	x	@	inf	(exp.f64 (tanh.f64 x))
0.0ms	x	@	-inf	(exp.f64 (tanh.f64 x))

rewrite103.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
523×	`add-sqr-sqrt_binary64`
498×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	96	11
2	1262	11

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(log.f64 (exp.f64 (tanh.f64 x)))
(tanh.f64 x)
(exp.f64 (tanh.f64 x))

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

Outputs

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

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

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Rules

658×	`fma-neg_binary64`
385×	`fma-def_binary64`
360×	`unswap-sqr_binary64`
349×	`log-div_binary64`
230×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	513
1	359	513
2	1298	513
3	6838	513

Stop Event

1×	node limit

Counts

123 → 74

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

localize2.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 x)
	0.0b	(tanh.f64 x)

Compiler

Compiled 4 to 2 computations (50% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize50.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	0.1b	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
	0.0b	(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x)))
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.0b	(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.f64 x)))
✓	0.1b	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
✓	1.0b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	39.4b	(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 82 to 41 computations (50% saved)

series17.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
2.0ms	x	@	inf	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
2.0ms	x	@	-inf	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms	x	@	-inf	(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
2.0ms	x	@	inf	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite305.0ms (5%)

Algorithm

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

Rules

661×	`pow1_binary64`
649×	`pow1_binary64`
620×	`add-log-exp_binary64`
618×	`log1p-expm1-u_binary64`
618×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	276	24
2	4412	24
0	8	6
1	163	6
2	1816	6
0	13	14
1	276	14
2	4412	14
0	13	14
0	7	9
1	147	9
2	1759	9
0	6	9
1	127	9
2	1509	9

Stop Event

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

Counts

4 → 69

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x))))
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (sinh.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 (exp.f64 x) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 2 (sinh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sinh.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 2 (pow.f64 (.f64 2 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 2 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) 1/3) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sinh.f64 x) 4) 2)))) (#(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 /.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 pow.f64 (.f64 2 (sinh.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.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 log1p.f64 (expm1.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 .f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) (.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sinh.f64 x) 4) (.f64 2 (sinh.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))))))

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
665×	`associate-/l*_binary64`
555×	`associate-*l/_binary64`
368×	`times-frac_binary64`
254×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	1708
1	579	1691
2	2034	1135

Stop Event

1×	node limit

Counts

117 → 141

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) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(*.f64 4 (pow.f64 x 2))
(+.f64 (.f64 4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 8/45 (pow.f64 x 6))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 4/315 (pow.f64 x 8)) (.f64 8/45 (pow.f64 x 6)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (pow.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)) 1/3) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) 4) 2)
(/.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 (.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))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 1/2)
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(-.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)
(/.f64 (.f64 (.f64 2 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)
(pow.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(log.f64 (exp.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)) 1)
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 3) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 3)
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))
(exp.f64 (log.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))

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 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.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)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(fma.f64 4 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 8))
(fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 5) 4))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 13/15)))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 7) 13/15)))
(fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 5) 4 (*.f64 (pow.f64 x 7) 13/15)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (fma.f64 13/15 (pow.f64 x 7) (*.f64 41/378 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 7) 13/15 (*.f64 41/378 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 7) 13/15 (fma.f64 41/378 (pow.f64 x 9) (*.f64 (pow.f64 x 3) 8))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 (.f64 4 x) x)
(+.f64 (.f64 4 (pow.f64 x 2)) (.f64 4/3 (pow.f64 x 4)))
(fma.f64 4 (.f64 x x) (.f64 4/3 (pow.f64 x 4)))
(fma.f64 4/3 (pow.f64 x 4) (.f64 (.f64 4 x) x))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (*.f64 8/45 (pow.f64 x 6))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (.f64 8/45 (pow.f64 x 6))))
(fma.f64 4/3 (pow.f64 x 4) (fma.f64 8/45 (pow.f64 x 6) (.f64 (.f64 4 x) x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 4/3 (pow.f64 x 4)) (+.f64 (.f64 4/315 (pow.f64 x 8)) (.f64 8/45 (pow.f64 x 6)))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 4/315 (pow.f64 x 8) (.f64 8/45 (pow.f64 x 6)))))
(fma.f64 4 (.f64 x x) (fma.f64 4/3 (pow.f64 x 4) (fma.f64 8/45 (pow.f64 x 6) (.f64 4/315 (pow.f64 x 8)))))
(fma.f64 4/3 (pow.f64 x 4) (fma.f64 x (.f64 x 4) (fma.f64 8/45 (pow.f64 x 6) (.f64 4/315 (pow.f64 x 8)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sinh.f64 x) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 2)))
(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 2 (pow.f64 (sinh.f64 x) 2))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))) (cbrt.f64 (sinh.f64 x)))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 (sinh.f64 x) (*.f64 8 (sinh.f64 x)))))
(.f64 (sqrt.f64 (.f64 (sinh.f64 x) 4)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (.f64 4 (sinh.f64 x))))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 4))) (fabs.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2)))
(.f64 (pow.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)) 1/3) (cbrt.f64 (sinh.f64 x)))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 2 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))))
(.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (.f64 (sinh.f64 x) (*.f64 8 (sinh.f64 x)))))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (*.f64 (sinh.f64 x) 4) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 1 (fma.f64 (exp.f64 x) (exp.f64 x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 1/2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(-.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(/.f64 (.f64 (.f64 2 (pow.f64 (.f64 2 (sinh.f64 x)) 2)) (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3) 1/3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log.f64 (exp.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 3))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(-.f64 (+.f64 1 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)) 1)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 2 (sinh.f64 x)) 2)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 1)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 3) 1/3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2) 3))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(exp.f64 (log.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 2)))
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))

eval84.0ms (1.4%)

Compiler: Compiled 3318 to 1738 computations (47.6% saved)

prune28.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	213	3	216
Fresh	1	0	1
Picked	1	0	1
Done	1	1	2
Total	216	4	220

Error

Counts

220 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	x
▶	57.7b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
▶	40.4b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	0.0b	(tanh.f64 x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize54.0ms (0.9%)

Local error

Found 8 expressions with local error:

New	Error	Program
	39.4b	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
	1.0b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
	0.0b	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
✓	0.0b	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
	0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	1.0b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	39.4b	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))

Compiler

Compiled 50 to 25 computations (50% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
1.0ms	x	@	-inf	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
0.0ms	x	@	0	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))

rewrite128.0ms (2.1%)

Algorithm

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

Rules

630×	`pow1_binary64`
617×	`pow1_binary64`
595×	`add-log-exp_binary64`
593×	`log1p-expm1-u_binary64`
593×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	285	18
2	4282	18
0	8	6
1	173	6
2	1728	6
0	13	14
1	285	14
2	4282	14
0	13	14
0	7	9
1	154	9
2	1665	9

Stop Event

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

Counts

3 → 67

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 3)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sinh.f64 x) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) (*.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) (*.f64 4 (pow.f64 (sinh.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (pow.f64 (sinh.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sinh.f64 x) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 3) (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 2) (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sinh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1) (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 8) (pow.f64 (sinh.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 2 (sinh.f64 x)))))))))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-def_binary64`
548×	`associate-/l*_binary64`
412×	`fma-neg_binary64`
337×	`*-commutative_binary64`
330×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1473
1	526	1287
2	1770	1141
3	7770	1141

Stop Event

1×	node limit

Counts

103 → 123

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) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (.f64 -17/315 (pow.f64 x 7)) (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(/.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (pow.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(*.f64 (pow.f64 8 1/3) (sinh.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.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 (.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 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(.f64 1 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))))) (cbrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (sqrt.f64 (/.f64 (.f64 2 (sinh.f64 x)) (*.f64 2 (cosh.f64 x)))))
(pow.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))) (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))))
(-.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)
(.f64 2 (.f64 (sinh.f64 x) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (sinh.f64 x) (.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)
(.f64 1 (.f64 8 (pow.f64 (sinh.f64 x) 3)))
(.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (*.f64 2 (sinh.f64 x)))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(*.f64 (pow.f64 (sinh.f64 x) 3) 8)
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 3) (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 2) (sinh.f64 x))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sinh.f64 x)) 2)
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1) (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (sinh.f64 x) 3)))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.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)))))
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(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(*.f64 (pow.f64 (sinh.f64 x) 3) 8)
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 3) (*.f64 2 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 2) (sinh.f64 x))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sinh.f64 x)) 2)
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1) (.f64 2 (sinh.f64 x)))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (sinh.f64 x) 3)))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1))
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	3.9b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
	0.0b	(tanh.f64 x)
	0.0b	(+.f64 1 (tanh.f64 x))
✓	0.0b	(+.f64 1 (tanh.f64 x))
	0.0b	(tanh.f64 x)
✓	3.9b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 1 (tanh.f64 x))
0.0ms	x	@	-inf	(+.f64 1 (tanh.f64 x))
0.0ms	x	@	0	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (tanh.f64 x)) 1)

rewrite58.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`pow1_binary64`
798×	`add-log-exp_binary64`
795×	`log1p-expm1-u_binary64`
795×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	151	9
2	2298	9

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (tanh.f64 x)) 1)
(+.f64 1 (tanh.f64 x))

Outputs

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

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-neg_binary64`
384×	`div-sub_binary64`
300×	`unswap-sqr_binary64`
274×	`associate-/r/_binary64`
251×	`associate-/l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	212	1826
1	542	915
2	2488	915

Stop Event

1×	node limit

Counts

108 → 113

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
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 x 3)) (+.f64 x (.f64 2/15 (pow.f64 x 5)))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)))) (/.f64 1 (*.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) (exp.f64 x))))
(+.f64 1 (+.f64 (tanh.f64 x) -1))
(+.f64 1 (*.f64 (+.f64 (tanh.f64 x) -1) 1))
(+.f64 (tanh.f64 x) 0)
(+.f64 (+.f64 1 (tanh.f64 x)) -1)
(+.f64 -1 (+.f64 1 (tanh.f64 x)))
(+.f64 (+.f64 (tanh.f64 x) -1) 1)
(*.f64 1 (tanh.f64 x))
(*.f64 (tanh.f64 x) 1)
(*.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 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (+.f64 1 (exp.f64 (*.f64 x 2)))))
(.f64 (.f64 2 (sinh.f64 x)) (/.f64 1 (*.f64 2 (cosh.f64 x))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2))))
(.f64 (.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (/.f64 1 (+.f64 (tanh.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (tanh.f64 x) 2) (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x)) (-.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 1 (/.f64 (+.f64 1 (exp.f64 (.f64 x 2))) (expm1.f64 (.f64 x 2))))
(/.f64 1 (/.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (sinh.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x)) (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 1 (exp.f64 (.f64 x 2))))
(/.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (cosh.f64 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (tanh.f64 x)) -1))))
(/.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (+.f64 (tanh.f64 x) 2))
(/.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x)) (-.f64 (+.f64 1 (tanh.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2) (+.f64 (tanh.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (tanh.f64 x) 2) (tanh.f64 x))) (neg.f64 (+.f64 (tanh.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 -2) x))) (neg.f64 (+.f64 1 (pow.f64 (exp.f64 -2) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (neg.f64 (+.f64 1 (exp.f64 (.f64 x 2)))))
(/.f64 (neg.f64 (.f64 2 (sinh.f64 x))) (neg.f64 (.f64 2 (cosh.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (tanh.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (tanh.f64 x) -1) (+.f64 (tanh.f64 x) -1)) (+.f64 (tanh.f64 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (tanh.f64 x) -1) (+.f64 (tanh.f64 x) -1))) (-.f64 1 (+.f64 (tanh.f64 x) -1)))
(pow.f64 (tanh.f64 x) 1)
(pow.f64 (cbrt.f64 (tanh.f64 x)) 3)
(pow.f64 (sqrt.f64 (tanh.f64 x)) 2)
(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)))
(log1p.f64 (expm1.f64 (tanh.f64 x)))
(exp.f64 (log.f64 (tanh.f64 x)))
(fma.f64 1 (+.f64 1 (tanh.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 2) (cbrt.f64 (+.f64 1 (tanh.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) (sqrt.f64 (+.f64 1 (tanh.f64 x))) -1)
(tanh.f64 x)
(-.f64 (+.f64 (tanh.f64 x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (tanh.f64 x))) (/.f64 (pow.f64 (tanh.f64 x) 2) (-.f64 1 (tanh.f64 x))))
(*.f64 1 (+.f64 1 (tanh.f64 x)))
(*.f64 (+.f64 1 (tanh.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 2) (cbrt.f64 (+.f64 1 (tanh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) (sqrt.f64 (+.f64 1 (tanh.f64 x))))
(.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) (.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 1))
(*.f64 (+.f64 1 (pow.f64 (tanh.f64 x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 x) 2) (tanh.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (tanh.f64 x) 2)) (/.f64 1 (-.f64 1 (tanh.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 x) 2) (tanh.f64 x))) (+.f64 1 (pow.f64 (tanh.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (tanh.f64 x)) (-.f64 1 (pow.f64 (tanh.f64 x) 2))))
(/.f64 (+.f64 1 (pow.f64 (tanh.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (tanh.f64 x) 2) (tanh.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (tanh.f64 x) 3)) (+.f64 (pow.f64 (tanh.f64 x) 2) (-.f64 1 (tanh.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (tanh.f64 x) 2)) (-.f64 1 (tanh.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (tanh.f64 x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 x) 2) (tanh.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (tanh.f64 x) 2))) (neg.f64 (-.f64 1 (tanh.f64 x))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 x) 2) 1) (+.f64 (tanh.f64 x) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (tanh.f64 x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (tanh.f64 x) 2) (tanh.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (tanh.f64 x) 2)) 1) (-.f64 1 (tanh.f64 x)))
(pow.f64 (+.f64 1 (tanh.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (tanh.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (tanh.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (tanh.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (tanh.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 (tanh.f64 x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (tanh.f64 x))))
(exp.f64 (log1p.f64 (tanh.f64 x)))
(fma.f64 1 (tanh.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (tanh.f64 x)) 2) (cbrt.f64 (tanh.f64 x)) 1)
(fma.f64 (sqrt.f64 (tanh.f64 x)) (sqrt.f64 (tanh.f64 x)) 1)

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

eval88.0ms (1.5%)

Compiler: Compiled 4135 to 2386 computations (42.3% saved)

prune34.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	265	3	268
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	267	5	272

Error

Counts

272 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.3b	(-.f64 (+.f64 1 x) 1)
✓	57.7b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
✓	0.0b	(tanh.f64 x)
	1.7b	x
▶	40.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3)) (.f64 2 (cosh.f64 x)))

Compiler

Compiled 31 to 25 computations (19.4% saved)

localize20.0ms (0.3%)

Local error

Found 6 expressions with local error:

New	Error	Program
	39.4b	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
	1.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3)) (.f64 2 (cosh.f64 x)))
	0.0b	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
	0.0b	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
✓	1.0b	(/.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3)) (.f64 2 (cosh.f64 x)))
	39.4b	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (*.f64 2 (cosh.f64 x)))

1.0ms

inf

(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (*.f64 2 (cosh.f64 x)))

1.0ms

(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) (*.f64 2 (cosh.f64 x)))

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
405×	`exp-prod_binary64`
289×	`pow-prod-down_binary64`
256×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	243	8
2	2875	3

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3)) (.f64 2 (cosh.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tanh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (tanh.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (tanh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (tanh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tanh.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (sinh.f64 x) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sinh.f64 x) (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) (/.f64 1 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) (/.f64 2 (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 x) (*.f64 2 (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sinh.f64 x)) (/.f64 1/2 (cosh.f64 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 (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 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.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 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (/.f64 1/2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 x) -2) (/.f64 1 (*.f64 (cosh.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cosh.f64 x)) (*.f64 2 (sinh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 2 (sinh.f64 x)) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 x) 2) (/.f64 2 (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (cosh.f64 x)) (/.f64 (sinh.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) 2) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cosh.f64 x)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cosh.f64 x)) (sinh.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) (cosh.f64 x)) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))) (#(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 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (*.f64 2 (cosh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (sinh.f64 x) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 x) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 2 (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) -2) (/.f64 (*.f64 2 (sinh.f64 x)) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (cbrt.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (cosh.f64 x))) 2)) (/.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sinh.f64 x) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 2 (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (cosh.f64 x)) -1/2) (/.f64 (*.f64 2 (sinh.f64 x)) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))) (/.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (cosh.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tanh.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tanh.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tanh.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) (pow.f64 (*.f64 2 (cosh.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (tanh.f64 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 x))) 2)) (cbrt.f64 (log.f64 (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 x)))) (sqrt.f64 (log.f64 (tanh.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 2 (sinh.f64 x)) (*.f64 (cosh.f64 x) -2)))))) (#(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 log.f64 (+.f64 1 (expm1.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 cbrt.f64 (/.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) (pow.f64 (*.f64 2 (cosh.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.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 exp.f64 (log.f64 (tanh.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (tanh.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (tanh.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (tanh.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (tanh.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x tanh.f64 x)))))

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-/l*_binary64`
531×	`times-frac_binary64`
397×	`associate-*l/_binary64`
332×	`associate-*r/_binary64`
316×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	712
1	486	695
2	1500	689
3	7846	689

Stop Event

1×	node limit

Counts

78 → 91

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	3.9b	(-.f64 (+.f64 1 x) 1)
✓	3.9b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	1
2	1663	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 x) 1)

Outputs

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
675×	`distribute-rgt-in_binary64`
610×	`distribute-lft-in_binary64`
370×	`times-frac_binary64`
202×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	235
1	224	214
2	1117	206

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

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

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

eval160.0ms (2.6%)

Compiler: Compiled 3078 to 2003 computations (34.9% saved)

prune48.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	229	3	232
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	230	7	237

Error

Counts

237 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓	59.3b	(-.f64 (+.f64 1 x) 1)
✓	57.7b	(-.f64 (+.f64 1 (tanh.f64 x)) 1)
✓	0.0b	(tanh.f64 x)
	1.7b	x
✓	40.4b	(/.f64 (cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3)) (.f64 2 (cosh.f64 x)))
	1.7b	(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))

Compiler

Compiled 53 to 41 computations (22.6% saved)

regimes24.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(tanh.f64 x)

Calls

2 calls:

14.0ms	x
5.0ms	(/.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 119 to 66 computations (44.5% saved)

regimes23.0ms (0.4%)

Accuracy

Total -57.6b remaining (-3355.3%)

Threshold costs -57.6b (-3355.3%)

Counts

7 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
1.7b	1	`x`

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4

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)

soundness135.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

618×	`times-frac_binary64`
292×	`fma-def_binary64`
282×	`associate-*l/_binary64`
265×	`associate-*r/_binary64`
257×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	623
1	358	597
2	1369	586
3	5740	526

Stop Event

1×	node limit

Compiler

Compiled 31 to 16 computations (48.4% saved)

end25.0ms (0.4%)

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

Details

analyze7.0ms (0.1%)

sample3.8s (62.3%)

preprocess105.0ms (1.7%)

simplify53.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.2%)

series5.0ms (0.1%)

rewrite115.0ms (1.9%)

simplify57.0ms (0.9%)

eval25.0ms (0.4%)

prune12.0ms (0.2%)

localize6.0ms (0.1%)

series6.0ms (0.1%)

rewrite103.0ms (1.7%)

simplify60.0ms (1%)

localize2.0ms (0%)

rewrite0.0ms (0%)

simplify2.0ms (0%)

localize50.0ms (0.8%)

series17.0ms (0.3%)

rewrite305.0ms (5%)

simplify57.0ms (0.9%)

eval84.0ms (1.4%)

prune28.0ms (0.5%)

localize54.0ms (0.9%)

series4.0ms (0.1%)

rewrite128.0ms (2.1%)

simplify69.0ms (1.1%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite58.0ms (1%)

simplify59.0ms (1%)

eval88.0ms (1.5%)

prune34.0ms (0.6%)

localize20.0ms (0.3%)

series3.0ms (0.1%)

rewrite62.0ms (1%)

simplify59.0ms (1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite45.0ms (0.7%)

simplify49.0ms (0.8%)

eval160.0ms (2.6%)

prune48.0ms (0.8%)

regimes24.0ms (0.4%)

regimes23.0ms (0.4%)

simplify4.0ms (0.1%)

soundness135.0ms (2.2%)

end25.0ms (0.4%)

Profiling