Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.2s (47.4%)

Results

1.3s	4000×	body	1024	valid
462.0ms	2048×	body	512	valid
189.0ms	397×	body	2048	valid
179.0ms	1811×	body	256	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess50.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25
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))) 2)

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

Compiler

Compiled 10 to 8 computations (20% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1318×	`associate-/l*`
988×	`distribute-lft-in`
978×	`distribute-rgt-in`
836×	`distribute-lft-neg-in`
810×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	21	25
2	35	25
3	60	25
4	117	25
5	268	25
6	745	25
7	2173	25
8	4843	25

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(*.f64 -1/2 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) -1/2)

eval1.0ms (0%)

Compiler: Compiled 25 to 12 computations (52% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.7b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.7b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite39.0ms (0.8%)

Algorithm

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

Rules

180×	`add-sqr-sqrt`
172×	`pow1`
172×	`*-un-lft-identity`
170×	`add-exp-log`
168×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	170	11
2	2644	11
0	8	11

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 13

Calls

Call 1

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

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

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Counts

21 → 33

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

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 x (fma.f64 x (.f64 x 1/3) 2))
(+.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 (fma.f64 1/60 (pow.f64 x 5) x) (fma.f64 1/3 (pow.f64 x 3) 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 x (fma.f64 x (.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (.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))
(+.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 (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 (.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 2 (sinh.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 (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 (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2)))))
(/.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) (exp.f64 (*.f64 x -3))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (exp.f64 -2) 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))
(exp.f64 (log.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))

eval9.0ms (0.2%)

Compiler: Compiled 479 to 318 computations (33.6% saved)

prune10.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	28	5	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	5	34

Error

Counts

34 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.7b	(/.f64 (/.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)))))) 2)
▶	57.7b	(/.f64 (/.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)))))) 2)
▶	1.3b	(/.f64 (+.f64 x x) 2)
▶	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Compiler

Compiled 192 to 118 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(sinh.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-r`
846×	`add-sqr-sqrt`
830×	`*-un-lft-identity`
788×	`pow1`
774×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	83	5
2	1022	5

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(sinh.f64 x)

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

Outputs

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

simplify92.0ms (2%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-+l-`
606×	`distribute-lft-neg-in`
590×	`associate-*r/`
544×	`associate-+r-`
528×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	785
1	226	617
2	980	589
3	5174	589

Stop Event

1×	node limit

Counts

43 → 52

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) 2) 1/2)
(.f64 1/2 (.f64 (sinh.f64 x) 2))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(-.f64 (+.f64 (sinh.f64 x) 1) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sinh.f64 x) 2) 1/2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 1/2 (.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 (sqrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (fabs.f64 (cbrt.f64 (sinh.f64 x))) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))))
(*.f64 (sqrt.f64 (sinh.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (sinh.f64 x))) 3))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (sqrt.f64 (cbrt.f64 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (sinh.f64 x))) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sqrt.f64 (sinh.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sinh.f64 x))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))) (cbrt.f64 (cbrt.f64 (sinh.f64 x))))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 (sinh.f64 x) 2)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (*.f64 (sinh.f64 x) 2) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) 2)) -2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(+.f64 (sinh.f64 x) 0)
(sinh.f64 x)

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize25.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
✓	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 x)))

Compiler

Compiled 61 to 39 computations (36.1% saved)

series30.0ms (0.7%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
4.0ms	x	@	-inf	(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
3.0ms	x	@	inf	(cbrt.f64 (*.f64 2 (sinh.f64 x)))
2.0ms	x	@	inf	(.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
2.0ms	x	@	-inf	(cbrt.f64 (*.f64 2 (sinh.f64 x)))

rewrite71.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`add-sqr-sqrt`
1566×	`*-un-lft-identity`
1466×	`add-cube-cbrt`
1448×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	189	47
2	2132	47

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 2 (sinh.f64 x)))

(*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))

(*.f64 (*.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))

Outputs

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

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

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

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-lft-in`
524×	`+-commutative`
506×	`distribute-rgt-in`
470×	`sqr-pow`
396×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2268
1	373	2246
2	1234	2238
3	4845	1894

Stop Event

1×	node limit

Counts

88 → 91

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))) 1)
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1)
(.f64 1 (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/6) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1/3))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(fabs.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))) 1)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2) 3)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (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 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) 1)
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 3))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))

Outputs
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 1) 1/3) (*.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 (cbrt.f64 2) (cbrt.f64 1/2)))
(.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1) 1/3) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)) (.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (*.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 2) 2)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(fma.f64 x 2 (*.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))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x 2 (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 x 2 (*.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)))))
(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 x 2 (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(-.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))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))) 1)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 1)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1 (cbrt.f64 (.f64 2 (sinh.f64 x))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/6) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (cbrt.f64 2))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 4))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 2 (sinh.f64 x))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1/3)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1/2)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 1/6) 2)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 3)
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(fabs.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1/3))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 1))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(cbrt.f64 (*.f64 2 (sinh.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 2/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2) 3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)
(cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 4))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(cbrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 2))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) 1))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2)))
(pow.f64 (cbrt.f64 (*.f64 2 (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 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 x)))) 1)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (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 (exp.f64 (+.f64 x x)) (+.f64 1 (exp.f64 (*.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (.f64 x -3))) (+.f64 (pow.f64 (exp.f64 2) x) (+.f64 1 (exp.f64 (.f64 x -2)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(-.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))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3) 1/3)
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 2))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 x)))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))
(-.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))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 x))) 1))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 x)))) 3))
(-.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))

localize57.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓	0.1b	(pow.f64 (exp.f64 (neg.f64 x)) 3)
✓	0.1b	(pow.f64 (exp.f64 x) 3)
✓	7.0b	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))

Compiler

Compiled 122 to 34 computations (72.1% saved)

series3.0ms (0.1%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
1.0ms	x	@	-inf	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
1.0ms	x	@	0	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
0.0ms	x	@	-inf	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite162.0ms (3.5%)

Algorithm

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

Rules

1248×	`add-sqr-sqrt`
1222×	`*-un-lft-identity`
1182×	`add-sqr-sqrt`
1158×	`*-un-lft-identity`
1152×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	124
1	295	124
2	4661	124
0	11	31
1	245	31
2	3635	31
0	11	31
0	7	11
1	143	11
2	1539	11
0	8	15
1	167	11
2	1905	11
0	9	25
1	192	25
2	3072	25
0	9	25

Stop Event

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

Counts

4 → 62

Calls

Call 1

Inputs
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(pow.f64 (exp.f64 x) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1280×	`fma-def`
686×	`distribute-lft-neg-in`
598×	`*-commutative`
572×	`+-commutative`
534×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	169	2556
1	420	2000
2	1562	1650
3	5941	1632

Stop Event

1×	node limit

Counts

94 → 115

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 9 (pow.f64 x 3)))
(+.f64 (.f64 6 x) (+.f64 (.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(+.f64 (.f64 6 x) (+.f64 (.f64 9 (pow.f64 x 3)) (+.f64 (.f64 243/280 (pow.f64 x 7)) (.f64 81/20 (pow.f64 x 5)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (.f64 3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (.f64 3 x) (+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (.f64 -3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (.f64 -3 x) (+.f64 1 (+.f64 (.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(+.f64 (pow.f64 (exp.f64 x) 3) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(.f64 (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.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))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3)) (+.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1)
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(*.f64 (pow.f64 (exp.f64 x) 3) 1)
(*.f64 1 (pow.f64 (exp.f64 x) 3))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(exp.f64 (*.f64 x 3))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(*.f64 (pow.f64 (exp.f64 x) 3) 1)
(*.f64 1 (pow.f64 (exp.f64 x) 3))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3) (exp.f64 x))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(sqrt.f64 (pow.f64 (exp.f64 x) 6))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(exp.f64 (*.f64 x 3))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(+.f64 (.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(pow.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))

Outputs
(*.f64 6 x)
(+.f64 (.f64 6 x) (.f64 9 (pow.f64 x 3)))
(fma.f64 6 x (*.f64 9 (pow.f64 x 3)))
(fma.f64 9 (pow.f64 x 3) (*.f64 6 x))
(+.f64 (.f64 6 x) (+.f64 (.f64 9 (pow.f64 x 3)) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (*.f64 81/20 (pow.f64 x 5))))
(fma.f64 9 (pow.f64 x 3) (fma.f64 81/20 (pow.f64 x 5) (*.f64 6 x)))
(+.f64 (.f64 6 x) (+.f64 (.f64 9 (pow.f64 x 3)) (+.f64 (.f64 243/280 (pow.f64 x 7)) (.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (*.f64 81/20 (pow.f64 x 5)))))
(fma.f64 6 x (fma.f64 9 (pow.f64 x 3) (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7)))))
(fma.f64 9 (pow.f64 x 3) (fma.f64 6 x (fma.f64 81/20 (pow.f64 x 5) (*.f64 243/280 (pow.f64 x 7)))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (.f64 3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 3 x 1) (.f64 9/2 (.f64 x x)))
(fma.f64 x 3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x 3 (fma.f64 x (*.f64 x 9/2) 1))
(+.f64 (.f64 3 x) (+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 3 x 1) (.f64 9/2 (+.f64 (pow.f64 x 3) (.f64 x x))))
(fma.f64 x 3 (fma.f64 9/2 (+.f64 (pow.f64 x 3) (*.f64 x x)) 1))
(fma.f64 9/2 (*.f64 x (fma.f64 x x x)) (fma.f64 x 3 1))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (.f64 -3 x) (+.f64 1 (.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (.f64 9/2 (.f64 x x)))
(fma.f64 x -3 (fma.f64 9/2 (*.f64 x x) 1))
(fma.f64 x (*.f64 x 9/2) (fma.f64 x -3 1))
(+.f64 (.f64 -3 x) (+.f64 1 (+.f64 (.f64 -9/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -9/2 (pow.f64 x 3) (.f64 9/2 (.f64 x x))))
(+.f64 (fma.f64 x -3 1) (fma.f64 (pow.f64 x 3) -9/2 (.f64 x (.f64 x 9/2))))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -9/2 1)))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (.f64 -2 x)))
(fma.f64 2 (.f64 x x) (+.f64 2 (.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x (+.f64 x x) (fma.f64 x -2 2))
(*.f64 2 (-.f64 (fma.f64 x x 1) x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (.f64 x x) (+.f64 2 (fma.f64 -2 x (.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 2 (.f64 x x) (fma.f64 x -2 2)) (.f64 (pow.f64 x 3) -4/3))
(fma.f64 x (+.f64 x x) (fma.f64 x -2 (fma.f64 (pow.f64 x 3) -4/3 2)))
(-.f64 (fma.f64 (pow.f64 x 3) -4/3 2) (*.f64 x (fma.f64 x -2 2)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(.f64 (+.f64 (exp.f64 x) (exp.f64 (.f64 -1 x))) (exp.f64 (*.f64 -1 x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 (pow.f64 (exp.f64 x) 3) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(*.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(.f64 (+.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 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (+.f64 (.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (pow.f64 (exp.f64 x) 2)) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (+.f64 1 (+.f64 (exp.f64 (.f64 x -2)) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 (neg.f64 x)) 6)) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 (neg.f64 x)) 6)) (+.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (.f64 x -6))) (+.f64 (exp.f64 (.f64 x 3)) (exp.f64 (*.f64 x -3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3)) (+.f64 (.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) 3)) (+.f64 (.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 (neg.f64 x)) 6)) (*.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) 3) 3)) (+.f64 (pow.f64 (exp.f64 x) 6) (fma.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3) (pow.f64 (exp.f64 (neg.f64 x)) 6))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 x 3)) 3) (pow.f64 (exp.f64 (.f64 x -3)) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 (neg.f64 x)) 6))))
(/.f64 (-.f64 (exp.f64 (.f64 x 9)) (/.f64 1 (exp.f64 (.f64 x 9)))) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 6) (exp.f64 (*.f64 x -6)))))
(pow.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1)
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(log.f64 (exp.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(cbrt.f64 (.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(exp.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (exp.f64 (.f64 x 3)) (exp.f64 (.f64 x -3)))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 1 (pow.f64 (exp.f64 x) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(sqrt.f64 (pow.f64 (exp.f64 x) 6))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(exp.f64 (*.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 1 (pow.f64 (exp.f64 x) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (exp.f64 x) 3/2))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(.f64 (.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (exp.f64 x)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 3) (pow.f64 (sqrt.f64 (exp.f64 x)) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3) (exp.f64 x))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(/.f64 1 (pow.f64 (exp.f64 x) 3))
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(exp.f64 x)
(/.f64 (*.f64 (pow.f64 (exp.f64 x) 2) 1) (exp.f64 x))
(/.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))
(exp.f64 x)
(sqrt.f64 (pow.f64 (exp.f64 x) 6))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(exp.f64 (*.f64 x 3))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 3)))
(+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 3) 1))
(+.f64 (pow.f64 (exp.f64 x) 3) 0)
(exp.f64 (*.f64 x 3))
(+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(+.f64 (.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(pow.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))) 1)
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log.f64 (exp.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x))) (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))) (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(expm1.f64 (log1p.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(exp.f64 (log.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))
(log1p.f64 (expm1.f64 (.f64 (exp.f64 (neg.f64 x)) (.f64 2 (cosh.f64 x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 1 (exp.f64 (*.f64 x -2)))
(+.f64 1 (pow.f64 (exp.f64 x) -2))

localize33.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(pow.f64 (exp.f64 (neg.f64 x)) 3)
✓	0.1b	(*.f64 (exp.f64 x) (exp.f64 x))
	0.1b	(pow.f64 (exp.f64 x) 3)
	7.0b	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))

Compiler

Compiled 146 to 34 computations (76.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (exp.f64 x) (exp.f64 x))
0.0ms	x	@	-inf	(*.f64 (exp.f64 x) (exp.f64 x))
0.0ms	x	@	0	(*.f64 (exp.f64 x) (exp.f64 x))

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1008×	`add-sqr-sqrt`
996×	`*-un-lft-identity`
938×	`pow1`
920×	`add-cube-cbrt`
910×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	116	11
2	1339	11

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (exp.f64 x) (exp.f64 x))

Outputs

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

998×	`distribute-lft-in`
994×	`*-commutative`
848×	`distribute-rgt-in`
734×	`fma-def`
606×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	279
1	98	279
2	343	267
3	976	267
4	2455	267
5	6061	267

Stop Event

1×	node limit

Counts

23 → 21

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2 x) 1)
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) 1))
(+.f64 (.f64 4/3 (pow.f64 x 3)) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (exp.f64 x) 2)
(-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) 1)
(pow.f64 (exp.f64 x) 2)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) 2)))
(exp.f64 (+.f64 x x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) 2)))

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

eval244.0ms (5.3%)

Compiler: Compiled 15994 to 8236 computations (48.5% saved)

prune105.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	584	3	587
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	587	5	592

Error

Counts

592 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(/.f64 (+.f64 x x) 2)
▶	34.5b	(/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	0.8b	(/.f64 (*.f64 2 (log1p.f64 (expm1.f64 (sinh.f64 x)))) 2)
▶	36.7b	(/.f64 (*.f64 2 (exp.f64 (log.f64 (sinh.f64 x)))) 2)

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	2.7b	(exp.f64 (log.f64 (sinh.f64 x)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`add-sqr-sqrt`
968×	`*-un-lft-identity`
916×	`pow1`
900×	`add-cube-cbrt`
888×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	112	5
2	1213	5

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify50.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1516×	`associate-/r/`
1120×	`associate-r`
898×	`associate-l`
638×	`associate-/l/`
388×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	931
1	183	931
2	772	871
3	3958	331

Stop Event

1×	node limit

Counts

37 → 37

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (sinh.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sinh.f64 x)))) (sqrt.f64 (log.f64 (sinh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sinh.f64 x))) 2)) (cbrt.f64 (log.f64 (sinh.f64 x))))
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sinh.f64 x)))

Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(+.f64 1 (-.f64 (sinh.f64 x) 1))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (exp.f64 1) (log.f64 (sinh.f64 x)))
(pow.f64 (E.f64) (log.f64 (sinh.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sinh.f64 x)))) (sqrt.f64 (log.f64 (sinh.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sinh.f64 x))) 2)) (cbrt.f64 (log.f64 (sinh.f64 x))))
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (sinh.f64 x))
	0.0b	(sinh.f64 x)
✓	0.2b	(log1p.f64 (expm1.f64 (sinh.f64 x)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (sinh.f64 x))
0.0ms	x	@	inf	(expm1.f64 (sinh.f64 x))
0.0ms	x	@	-inf	(expm1.f64 (sinh.f64 x))
0.0ms	x	@	0	(log1p.f64 (expm1.f64 (sinh.f64 x)))
0.0ms	x	@	inf	(log1p.f64 (expm1.f64 (sinh.f64 x)))

rewrite62.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`add-sqr-sqrt`
994×	`*-un-lft-identity`
944×	`pow1`
924×	`add-cube-cbrt`
914×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	120	14
2	1251	14

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sinh.f64 x)))
(expm1.f64 (sinh.f64 x))

Outputs

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

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1500×	`associate-/r*`
1362×	`associate-/l*`
1262×	`associate-/r/`
856×	`*-commutative`
592×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1693
1	282	1693
2	1241	1155
3	4587	633

Stop Event

1×	node limit

Counts

63 → 68

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 (sinh.f64 x) 1)
(*.f64 1 (sinh.f64 x))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(pow.f64 (sinh.f64 x) 1)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(log.f64 (exp.f64 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(sinh.f64 x)
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(exp.f64 (log.f64 (sinh.f64 x)))
(+.f64 (exp.f64 (sinh.f64 x)) -1)
(-.f64 (exp.f64 (sinh.f64 x)) 1)
(*.f64 (expm1.f64 (sinh.f64 x)) 1)
(*.f64 1 (expm1.f64 (sinh.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (sinh.f64 x))) (sqrt.f64 (expm1.f64 (sinh.f64 x))))
(*.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 2) (cbrt.f64 (expm1.f64 (sinh.f64 x))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 (sinh.f64 x))) 1) (+.f64 (exp.f64 (sinh.f64 x)) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 3) 1) (+.f64 (exp.f64 (.f64 2 (sinh.f64 x))) (+.f64 1 (.f64 (exp.f64 (sinh.f64 x)) 1))))
(pow.f64 (expm1.f64 (sinh.f64 x)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sinh.f64 x))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 2))
(log.f64 (exp.f64 (expm1.f64 (sinh.f64 x))))
(cbrt.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 3))
(exp.f64 (log.f64 (expm1.f64 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (expm1.f64 (sinh.f64 x))))

Outputs
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/3 x))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 x (*.f64 x 1/2) x))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 5/24 (pow.f64 x 4)) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 5/24 (pow.f64 x 4) x)))
(fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 5/24 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 5/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (+.f64 1 (sinh.f64 x)) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(-.f64 (/.f64 (exp.f64 x) 2) (/.f64 (exp.f64 (neg.f64 x)) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (sinh.f64 x) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 1 (sinh.f64 x))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(.f64 (.f64 2 (sinh.f64 x)) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 x))))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 x))) -2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (sinh.f64 x) 1)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (sqrt.f64 (sinh.f64 x)) 2)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (cbrt.f64 (sinh.f64 x)) 3)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(pow.f64 (pow.f64 (sinh.f64 x) 3) 1/3)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(sqrt.f64 (pow.f64 (sinh.f64 x) 2))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(log.f64 (exp.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(sinh.f64 x)
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(expm1.f64 (log1p.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(exp.f64 (log.f64 (sinh.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))
(sinh.f64 x)
(+.f64 (exp.f64 (sinh.f64 x)) -1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(-.f64 (exp.f64 (sinh.f64 x)) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(*.f64 (expm1.f64 (sinh.f64 x)) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(*.f64 1 (expm1.f64 (sinh.f64 x)))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 (sinh.f64 x))) (sqrt.f64 (expm1.f64 (sinh.f64 x))))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 2))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 2) (cbrt.f64 (expm1.f64 (sinh.f64 x))))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 (sinh.f64 x))) 1) (+.f64 (exp.f64 (sinh.f64 x)) 1))
(/.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))) (+.f64 1 (exp.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 3) 1) (+.f64 (exp.f64 (.f64 2 (sinh.f64 x))) (+.f64 1 (.f64 (exp.f64 (sinh.f64 x)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sinh.f64 x)) 3) -1) (+.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)) (+.f64 1 (exp.f64 (sinh.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sinh.f64 x)) 3)) (+.f64 1 (+.f64 (exp.f64 (sinh.f64 x)) (pow.f64 (exp.f64 (sinh.f64 x)) 2))))
(pow.f64 (expm1.f64 (sinh.f64 x)) 1)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 (sinh.f64 x))) 2)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 (sinh.f64 x))) 3)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(pow.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 3) 1/3)
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 2))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(log.f64 (exp.f64 (expm1.f64 (sinh.f64 x))))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 (sinh.f64 x)) 3))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(exp.f64 (log.f64 (expm1.f64 (sinh.f64 x))))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))
(log1p.f64 (expm1.f64 (expm1.f64 (sinh.f64 x))))
(expm1.f64 (*.f64 1/2 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(expm1.f64 (sinh.f64 x))

localize60.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 (sinh.f64 x) 2) 4)
✓	0.3b	(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
	0.6b	(cbrt.f64 (*.f64 2 (sinh.f64 x)))
✓	35.1b	(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)

Compiler

Compiled 64 to 44 computations (31.3% saved)

series11.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)
2.0ms	x	@	inf	(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
2.0ms	x	@	-inf	(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)
1.0ms	x	@	-inf	(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	0	(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))

rewrite78.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`*-commutative`
794×	`unswap-sqr`
594×	`swap-sqr`
422×	`sqr-pow`
388×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	79
1	290	49
2	3344	49

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3)
(.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(*.f64 (pow.f64 (sinh.f64 x) 2) 4)

Outputs

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

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

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/r/`
1446×	`distribute-lft-in`
1442×	`distribute-rgt-in`
1300×	`associate-/l/`
742×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	386	6920
1	1076	6280
2	3712	6280

Stop Event

1×	node limit

Counts

176 → 239

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) x))
(+.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) x)))
(+.f64 (.f64 1/120 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 5)))) (+.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) x))))
(+.f64 (.f64 1/120 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 5)))) (+.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (+.f64 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) x)) (.f64 1/5040 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) (pow.f64 x 7)))))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (*.f64 (cbrt.f64 2) (cbrt.f64 4))))
(*.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 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 1)
(.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(.f64 1 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) (pow.f64 (*.f64 (sinh.f64 x) 2) 1/6))
(.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 (*.f64 (sinh.f64 x) 2)))
(.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6) (sqrt.f64 (*.f64 (sinh.f64 x) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(.f64 (cbrt.f64 (sinh.f64 x)) (.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cbrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (cbrt.f64 4))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cbrt.f64 (sinh.f64 x))))
(*.f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2))) (.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))))
(.f64 (.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cbrt.f64 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2))))
(.f64 (.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) (cbrt.f64 (sinh.f64 x))) (cbrt.f64 2))
(.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4)) 1/6)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2))) (sqrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2))) (sqrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 1/6))))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12) (pow.f64 (.f64 (sinh.f64 x) 2) 1/6)) (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12) (pow.f64 (*.f64 (sinh.f64 x) 2) 1/6)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6)) (pow.f64 (.f64 (sinh.f64 x) 2) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6)) (pow.f64 (*.f64 (sinh.f64 x) 2) 1/6)))
(.f64 (.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6) (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12)) (.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6) (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6)) (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12)) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6)) (pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12)))
(.f64 (.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6))) (.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6) (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 1/6))))
(.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12) (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6))) (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/12) (.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 1/6))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6)) (sqrt.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)))) (.f64 (sqrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 1/6)) (sqrt.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4)))) (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 2)))
(.f64 (.f64 (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6) (cbrt.f64 2)) (*.f64 (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6) (cbrt.f64 2)))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 4))) (*.f64 (cbrt.f64 (sinh.f64 x)) (sqrt.f64 (cbrt.f64 4))))
(.f64 (.f64 (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6) (sqrt.f64 (cbrt.f64 4))) (*.f64 (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6) (sqrt.f64 (cbrt.f64 4))))
(.f64 (.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 4 1/6)) (*.f64 (cbrt.f64 (sinh.f64 x)) (pow.f64 4 1/6)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (pow.f64 4 1/6)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (pow.f64 4 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 4)) (cbrt.f64 (sinh.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 4)) (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (pow.f64 4 1/6) (cbrt.f64 (sinh.f64 x))) (*.f64 (pow.f64 4 1/6) (cbrt.f64 (sinh.f64 x))))
(.f64 (.f64 (cbrt.f64 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (cbrt.f64 2) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))
(.f64 (.f64 (pow.f64 4 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))) (*.f64 (pow.f64 4 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2))))
(.f64 (.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6)) (*.f64 (cbrt.f64 2) (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 4)) (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6)) (*.f64 (sqrt.f64 (cbrt.f64 4)) (pow.f64 (pow.f64 (sinh.f64 x) 2) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (sinh.f64 x) 2) 4) 1/12) (pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4) 1/12))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 x) 2)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sinh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 1))))
(sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))))
(cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) 2)) 2/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(+.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x)))
(+.f64 (exp.f64 x) (*.f64 (/.f64 -1 (exp.f64 x)) 1))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 x) 2))) -1)
(+.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 x) 2))) 1)
(/.f64 2 (/.f64 1 (sinh.f64 x)))
(/.f64 (*.f64 (sinh.f64 x) 2) 1)
(/.f64 1 (/.f64 2 (.f64 2 (.f64 (sinh.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(/.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) 2)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (.f64 2 (.f64 (sinh.f64 x) -2)) -2)
(/.f64 (.f64 1 (.f64 2 (*.f64 (sinh.f64 x) 2))) 2)
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 1 (-.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 (neg.f64 x)) 2))))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) (cbrt.f64 2)) (cbrt.f64 (.f64 (sinh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (*.f64 (sinh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 x) 2)) 1) 2)
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) 2) -2)
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) (*.f64 2 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 -1 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))) (-.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (/.f64 -1 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (.f64 (/.f64 -1 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) (.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 1))))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/2)
(pow.f64 (*.f64 (sinh.f64 x) 2) 1)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) 3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(fabs.f64 (*.f64 (sinh.f64 x) 2))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 x) 2))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 x) 2)))
(exp.f64 (log.f64 (*.f64 (sinh.f64 x) 2)))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 x) 2)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) -1)
(+.f64 (.f64 (.f64 (sinh.f64 x) 2) (exp.f64 x)) (.f64 (.f64 (sinh.f64 x) 2) (/.f64 -1 (exp.f64 x))))
(+.f64 (.f64 (exp.f64 x) (.f64 (sinh.f64 x) 2)) (.f64 (/.f64 -1 (exp.f64 x)) (.f64 (sinh.f64 x) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1)
(/.f64 (*.f64 (sinh.f64 x) 4) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 4 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 4)
(/.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 1 (.f64 2 (*.f64 (sinh.f64 x) 2))) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 4 (.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) 2))) 2)
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (.f64 2 (.f64 (sinh.f64 x) 2))) 2)
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (-.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 (neg.f64 x)) 2))))
(/.f64 (.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (.f64 (sinh.f64 x) 2)) 2)
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 x) 2)) 1) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (.f64 (sinh.f64 x) -2)) -2)
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 (sinh.f64 x) 2)) 2)
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) 1) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 (sinh.f64 x) -2)) -2)
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) (.f64 2 (.f64 (sinh.f64 x) 2))) -2)
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (*.f64 (sinh.f64 x) 4)) 2)
(/.f64 (.f64 1 (.f64 (sinh.f64 x) 4)) (/.f64 1 (sinh.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) (*.f64 (sinh.f64 x) 4)) -2)
(/.f64 (.f64 (.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) 2)) 4) 2)
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (sinh.f64 x) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 (sinh.f64 x) 2)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1))))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 3)
(pow.f64 (*.f64 (sinh.f64 x) 2) 2)
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 4)
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) 6)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3) 2/3)
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(exp.f64 (.f64 2 (log.f64 (.f64 (sinh.f64 x) 2))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))

Outputs
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) x))
(.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 4)))
(.f64 (cbrt.f64 4) (.f64 x (cbrt.f64 2)))
(+.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) x)))
(fma.f64 1/6 (.f64 (.f64 (cbrt.f64 2) (cbrt.f64 4)) (pow.f64 x 3)) (.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 4))))
(fma.f64 (cbrt.f64 2) (.f64 x (cbrt.f64 4)) (.f64 (cbrt.f64 2) (.f64 (.f64 (cbrt.f64 4) (pow.f64 x 3)) 1/6)))
(+.f64 (.f64 1/120 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 5)))) (+.f64 (.f64 1/6 (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (pow.f64 x 3)))) (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) x))))
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(/.f64 (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
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(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 2)) (.f64 (cbrt.f64 2) (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (*.f64 (sinh.f64 x) 2))) (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x))))) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 (sinh.f64 x))))
(/.f64 (.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (*.f64 (sinh.f64 x) 2))) (cbrt.f64 2))
(/.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 (.f64 2 (sinh.f64 x)))))
(.f64 (/.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 2)) (*.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)))
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 x) 2)) 1) 2)
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) 2) -2)
(*.f64 2 (sinh.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) 1) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.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 (neg.f64 x)) 2))))
(/.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) (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 x) 2)) (*.f64 2 (sqrt.f64 (sinh.f64 x)))) (sqrt.f64 2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x))))) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 2)) (*.f64 2 (sqrt.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 -1 (exp.f64 x)) (/.f64 -1 (exp.f64 x)))) (-.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x))))) (.f64 2 (sinh.f64 x))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 2 (sinh.f64 x))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (/.f64 -1 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (.f64 (/.f64 -1 (exp.f64 x)) (/.f64 -1 (exp.f64 x))) (.f64 (exp.f64 x) (/.f64 -1 (exp.f64 x))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (/.f64 -1 (pow.f64 (exp.f64 x) 3))) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (fma.f64 (/.f64 -1 (exp.f64 x)) (-.f64 (/.f64 -1 (exp.f64 x)) (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (sinh.f64 x) 2))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 2 (sinh.f64 x))) (log1p.f64 (.f64 2 (sinh.f64 x))))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) 3)) (+.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) (+.f64 1 (exp.f64 (.f64 2 (log1p.f64 (.f64 2 (sinh.f64 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 2 (sinh.f64 x)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 2 (sinh.f64 x))))))))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(pow.f64 (*.f64 (sinh.f64 x) 2) 1)
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 2)
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) 3)
(*.f64 2 (sinh.f64 x))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3) 1/3)
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(fabs.f64 (*.f64 (sinh.f64 x) 2))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 x) 2))))
(*.f64 2 (sinh.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3))
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 x) 2)))
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 (sinh.f64 x) 2)))
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 x) 2)))
(*.f64 2 (sinh.f64 x))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) -1)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(+.f64 (.f64 (.f64 (sinh.f64 x) 2) (exp.f64 x)) (.f64 (.f64 (sinh.f64 x) 2) (/.f64 -1 (exp.f64 x))))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(+.f64 (.f64 (exp.f64 x) (.f64 (sinh.f64 x) 2)) (.f64 (/.f64 -1 (exp.f64 x)) (.f64 (sinh.f64 x) 2)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (*.f64 (sinh.f64 x) 4) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 4 (.f64 (pow.f64 (sinh.f64 x) 2) 4)) 4)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 1 (.f64 2 (*.f64 (sinh.f64 x) 2))) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 4 (.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) 2))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (.f64 2 (.f64 (sinh.f64 x) 2))) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 2 (sinh.f64 x)) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 2 (sinh.f64 x)))
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (-.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 (neg.f64 x)) 2))))
(/.f64 (*.f64 2 (sinh.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(.f64 (/.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) (pow.f64 (exp.f64 (neg.f64 x)) 2)))) (.f64 2 (sinh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1/2)) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 (.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (.f64 (sinh.f64 x) 2)) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 2 (*.f64 (sinh.f64 x) 2)) 1) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 2 (.f64 (sinh.f64 x) 2)) (.f64 (sinh.f64 x) -2)) -2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 (sinh.f64 x) 2)) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) 1) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 4) (*.f64 (sinh.f64 x) -2)) -2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) (.f64 2 (.f64 (sinh.f64 x) 2))) -2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) 2) (*.f64 (sinh.f64 x) 4)) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 1 (.f64 (sinh.f64 x) 4)) (/.f64 1 (sinh.f64 x)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) -2) (*.f64 (sinh.f64 x) 4)) -2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (.f64 (sinh.f64 x) (*.f64 (sinh.f64 x) 2)) 4) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (.f64 (sinh.f64 x) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (*.f64 2 (sinh.f64 x)) (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 (neg.f64 x)) 2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (.f64 2 (sinh.f64 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (.f64 (sinh.f64 x) 2)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))))
(/.f64 (*.f64 2 (sinh.f64 x)) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (pow.f64 (exp.f64 (neg.f64 x)) 2))) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))))
(.f64 (/.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) (pow.f64 (exp.f64 (neg.f64 x)) 2)))) (.f64 2 (sinh.f64 x)))
(.f64 (/.f64 (sinh.f64 x) (.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 2))) 1/2)) (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))) (.f64 4 (pow.f64 (sinh.f64 x) 2))) (+.f64 1 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) 3) -1) (+.f64 (+.f64 (exp.f64 (+.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))) 1) (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (exp.f64 (.f64 2 (log1p.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))))))))
(pow.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4) 1)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)) 3)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (*.f64 (sinh.f64 x) 2) 2)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 x) 2)) 4)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 x) 2)) 6)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 3) 2/3)
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 4))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 4))
(log.f64 (pow.f64 (exp.f64 4) (pow.f64 (sinh.f64 x) 2)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4))))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 x) 2) 6))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(exp.f64 (.f64 2 (log.f64 (.f64 (sinh.f64 x) 2))))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sinh.f64 x) 2) 4)))
(*.f64 4 (pow.f64 (sinh.f64 x) 2))

eval261.0ms (5.7%)

Compiler: Compiled 9388 to 6763 computations (28% saved)

prune147.0ms (3.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	480	0	480
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	480	5	485

Error

Counts

485 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.3b	(/.f64 (+.f64 x x) 2)
✓	34.5b	(/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	0.8b	(/.f64 (*.f64 2 (log1p.f64 (expm1.f64 (sinh.f64 x)))) 2)
✓	36.7b	(/.f64 (*.f64 2 (exp.f64 (log.f64 (sinh.f64 x)))) 2)

Compiler

Compiled 48 to 40 computations (16.7% saved)

regimes46.0ms (1%)

Accuracy

Total -61.4b remaining (-523743.5%)

Threshold costs -61.4b (-523743.5%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (*.f64 2 (exp.f64 (log.f64 (sinh.f64 x)))) 2)
(/.f64 (*.f64 2 (log1p.f64 (expm1.f64 (sinh.f64 x)))) 2)
(/.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sinh.f64 x) 2) 4) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
(/.f64 (/.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)))))) 2)
(/.f64 (/.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)))))) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)

Calls

3 calls:

36.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
5.0ms	x
2.0ms	(-.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))) 2)`
0.0b	1	`(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 150 to 90 computations (40% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	11	30

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 x x) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 x x) 2)

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-*r/`
804×	`fma-def`
778×	`*-commutative`
712×	`associate-r`
658×	`associate-*l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	501
1	179	485
2	576	481
3	2145	353

Stop Event

1×	node limit

Compiler

Compiled 104 to 58 computations (44.2% saved)

end28.0ms (0.6%)

Compiler: Compiled 12 to 9 computations (25% saved)

Details

analyze3.0ms (0.1%)

sample2.2s (47.4%)

preprocess50.0ms (1.1%)

simplify61.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite39.0ms (0.8%)

simplify44.0ms (0.9%)

eval9.0ms (0.2%)

prune10.0ms (0.2%)

localize6.0ms (0.1%)

series2.0ms (0%)

rewrite60.0ms (1.3%)

simplify92.0ms (2%)

localize4.0ms (0.1%)

localize25.0ms (0.5%)

series30.0ms (0.7%)

rewrite71.0ms (1.5%)

simplify71.0ms (1.5%)

localize57.0ms (1.2%)

series3.0ms (0.1%)

rewrite162.0ms (3.5%)

simplify77.0ms (1.7%)

localize33.0ms (0.7%)

series1.0ms (0%)

rewrite59.0ms (1.3%)

simplify57.0ms (1.2%)

eval244.0ms (5.3%)

prune105.0ms (2.3%)

localize10.0ms (0.2%)

series0.0ms (0%)

rewrite47.0ms (1%)

simplify50.0ms (1.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite62.0ms (1.3%)

simplify60.0ms (1.3%)

localize60.0ms (1.3%)

series11.0ms (0.2%)

rewrite78.0ms (1.7%)

simplify93.0ms (2%)

eval261.0ms (5.7%)

prune147.0ms (3.2%)

regimes46.0ms (1%)

simplify7.0ms (0.2%)

soundness71.0ms (1.5%)

end28.0ms (0.6%)

Profiling