Details

analyze4.0ms (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)

sample2.3s (55.1%)

Results

1.6s	4141×	body	1024	valid
399.0ms	2022×	body	512	valid
206.0ms	455×	body	2048	valid
171.0ms	1638×	body	256	valid
2.0ms	18×	body	256	infinite

Bogosity

preprocess50.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12
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)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
579×	`fma-def_binary64`
523×	`cancel-sign-sub-inv_binary64`
509×	`associate-/l*_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	34	13
3	58	13
4	120	13
5	260	13
6	715	13
7	2155	13
8	5003	12

Stop Event

1×	node limit

Counts

1 → 4

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)
(fma.f64 1/2 (exp.f64 x) (/.f64 -1/2 (exp.f64 x)))

eval1.0ms (0%)

Compiler: Compiled 33 to 16 computations (51.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.7b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.7b	(/.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
✓	8.1b	(-.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
1.0ms	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)))

rewrite22.0ms (0.5%)

Algorithm

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

Rules

70×	`add-sqr-sqrt_binary64`
67×	`add-log-exp_binary64`
66×	`*-un-lft-identity_binary64`
66×	`pow1_binary64`
65×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	130	6
2	2188	6
0	6	6

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

Outputs

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

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-*l/_binary64`
434×	`associate-*r/_binary64`
417×	`fma-def_binary64`
315×	`distribute-rgt-in_binary64`
303×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	261
1	175	253
2	549	251
3	2047	187
4	7903	187

Stop Event

1×	node limit

Counts

21 → 34

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

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

eval9.0ms (0.2%)

Compiler: Compiled 499 to 328 computations (34.3% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	6	35

Error

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
▶	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
▶	0.9b	(/.f64 (+.f64 x x) 2)
▶	30.0b	(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
▶	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
	35.6b	(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 150 to 118 computations (21.3% saved)

localize8.0ms (0.2%)

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 (0.1%)

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)

rewrite39.0ms (0.9%)

Algorithm

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

Rules

318×	`pow1_binary64`
311×	`add-sqr-sqrt_binary64`
302×	`*-un-lft-identity_binary64`
297×	`add-log-exp_binary64`
296×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	63	3
2	785	3
0	3	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs
(sinh.f64 x)

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

Outputs

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

simplify37.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
464×	`associate-/l*_binary64`
400×	`unswap-sqr_binary64`
261×	`associate-/r/_binary64`
231×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	280
1	101	280
2	290	262
3	1043	100
4	3674	100

Stop Event

1×	node limit

Counts

22 → 22

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

localize4.0ms (0.1%)

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

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

series5.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary64`
497×	`add-sqr-sqrt_binary64`
475×	`add-log-exp_binary64`
475×	`log1p-expm1-u_binary64`
475×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	129	11
2	1322	11

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-neg_binary64`
424×	`log-prod_binary64`
402×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
355×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	333
1	181	243
2	566	153
3	1940	153
4	7930	153

Stop Event

1×	node limit

Counts

30 → 36

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 1/3 (pow.f64 x 3))) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 1/3)) 3)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 1/3) (pow.f64 x 3/2)) 2)
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 x 3)))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 x 3)) 3))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 1/3 (pow.f64 x 3)) 1))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (+.f64 1 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 x (.f64 x x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3) 1)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 1 (pow.f64 x 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 x x) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(*.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) 1) x)
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(.f64 (.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(sqrt.f64 (pow.f64 x 6))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log.f64 (exp.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(cbrt.f64 (pow.f64 (pow.f64 x 3) 3))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(expm1.f64 (log1p.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(log1p.f64 (expm1.f64 (pow.f64 x 3)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)
(exp.f64 (*.f64 3 (log.f64 x)))
(+.f64 (+.f64 1 (pow.f64 x 3)) -1)
(+.f64 (pow.f64 x 3) 0)
(pow.f64 x 3)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 3)
✓	0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
✓	0.1b	(*.f64 1/60 (pow.f64 x 5))
	0.1b	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 69 to 55 computations (20.3% saved)

series3.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/60 (pow.f64 x 5))
1.0ms	x	@	inf	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
1.0ms	x	@	inf	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	-inf	(*.f64 1/60 (pow.f64 x 5))
0.0ms	x	@	-inf	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

rewrite59.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
363×	`exp-prod_binary64`
316×	`prod-exp_binary64`
309×	`fma-def_binary64`
284×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	247	21
2	2870	21

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 15) 1/216000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/3600) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 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1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/3)) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) (*.f64 x x) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 1/60 (pow.f64 x 5)))))))

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
554×	`fma-neg_binary64`
261×	`exp-prod_binary64`
238×	`distribute-rgt-in_binary64`
231×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	1716
1	568	1641
2	1616	1629
3	6423	1629

Stop Event

1×	node limit

Counts

97 → 110

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 0 (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 15) 1/216000)) 1/3))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1) 1))
(exp.f64 (.f64 (.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 3) 1/3))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))) 1)
(.f64 1 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))
(.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))
(/.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 15) 1/216000 (.f64 (pow.f64 x 9) 1/27))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 1/3600) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) 1/3600)) (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))) (fma.f64 (pow.f64 x 15) 1/216000 (*.f64 (pow.f64 x 9) 1/27))) -1)
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))
(cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 x (.f64 (.f64 x x) 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5)) 1 (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(*.f64 1/60 (pow.f64 x 5))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 0 (*.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))))
(*.f64 1/60 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5)))) 1)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 1/60 (pow.f64 x 5)) 1)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 1/3600) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(pow.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) 3)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) 2)
(*.f64 1/60 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 1/216000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(pow.f64 (exp.f64 1) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))) 2)) (cbrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))) (sqrt.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60))))
(sqrt.f64 (*.f64 (pow.f64 x 10) 1/3600))
(log.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/60 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 1/216000))
(expm1.f64 (log1p.f64 (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))
(*.f64 1/60 (pow.f64 x 5))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (*.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)) 1))
(pow.f64 (E.f64) (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (fma.f64 5 (log.f64 x) (log1p.f64 -59/60)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5)))) 3))
(*.f64 1/60 (pow.f64 x 5))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2))) 2))
(*.f64 1/60 (pow.f64 x 5))
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(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 1))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 3))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 x (.f64 (.f64 x x) 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (pow.f64 x 5)) 1 (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5))))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (pow.f64 (.f64 x (cbrt.f64 1/3)) 3/2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (.f64 (cbrt.f64 (pow.f64 x 10)) (pow.f64 (cbrt.f64 x) 5))))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 2 (sinh.f64 x)))
	0.0b	(sinh.f64 x)
✓	0.3b	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))

Compiler

Compiled 38 to 24 computations (36.8% saved)

series7.0ms (0.2%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(sqrt.f64 (*.f64 2 (sinh.f64 x)))
1.0ms	x	@	-inf	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	inf	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	0	(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
1.0ms	x	@	inf	(sqrt.f64 (*.f64 2 (sinh.f64 x)))

rewrite40.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`pow1_binary64`
508×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`
495×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	143	14
2	1453	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

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

simplify45.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

758×	`times-frac_binary64`
358×	`unswap-sqr_binary64`
328×	`fma-def_binary64`
314×	`log-prod_binary64`
244×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1225
1	309	887
2	1103	753
3	4400	617

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (sqrt.f64 2) 2) x)
(+.f64 x x)
(+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) x) (.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3))))
(fma.f64 (pow.f64 (sqrt.f64 2) 2) x (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3))))
(fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3))
(+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) x) (.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 5)) (fma.f64 (pow.f64 (sqrt.f64 2) 2) x (.f64 1/6 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 (pow.f64 x 3) 1/3)))
(fma.f64 2 x (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 1/60)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 5))) (+.f64 (.f64 (pow.f64 (sqrt.f64 2) 2) x) (+.f64 (.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3))) (.f64 1/5040 (*.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 5)) (fma.f64 (pow.f64 (sqrt.f64 2) 2) x (fma.f64 1/6 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 3)) (.f64 1/5040 (.f64 (pow.f64 (sqrt.f64 2) 2) (pow.f64 x 7))))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 1/2520))))
(fma.f64 2 x (fma.f64 (pow.f64 x 5) 1/60 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 7) 1/2520))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.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 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (sinh.f64 x))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.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 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.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 (.f64 2 (sinh.f64 x)) 2) 2)
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.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 2 (.f64 2 (sinh.f64 x))) 2)
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/2)
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(fabs.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(.f64 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 1/2 (.f64 (pow.f64 (sqrt.f64 2) 2) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))
(*.f64 1 (-.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 1 (sqrt.f64 (*.f64 2 (sinh.f64 x)))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 1 (sqrt.f64 (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/4) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 x)))
(*.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x)))))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/4)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(fabs.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 1))
(+.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 0)
(sqrt.f64 (*.f64 2 (sinh.f64 x)))

eval300.0ms (7.1%)

Compiler: Compiled 6516 to 5020 computations (23% saved)

prune125.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	342	4	346
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	346	6	352

Error

Counts

352 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) 2)
▶	0.5b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (.f64 (.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))) 2)
▶	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)
✓	0.9b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
▶	35.6b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) 2)

Compiler

Compiled 67 to 53 computations (20.9% saved)

localize34.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 x)
✓	0.0b	(pow.f64 (*.f64 2 (sinh.f64 x)) 3)
✓	35.6b	(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`pow1_binary64`
595×	`add-log-exp_binary64`
593×	`log1p-expm1-u_binary64`
593×	`expm1-log1p-u_binary64`
580×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	173	15
2	1728	15

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary64`
438×	`cube-prod_binary64`
397×	`fabs-mul_binary64`
349×	`cube-div_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	1112
1	432	944
2	1259	786
3	4965	786

Stop Event

1×	node limit

Counts

81 → 97

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(*.f64 8 (pow.f64 x 3))
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(*.f64 2 (sinh.f64 x))
(*.f64 (sinh.f64 x) 2)
(.f64 (.f64 2 (sinh.f64 x)) 1)
(.f64 1 (.f64 2 (sinh.f64 x)))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (pow.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(*.f64 (pow.f64 8 1/3) (sinh.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(-.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)
(.f64 2 (.f64 (sinh.f64 x) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (sinh.f64 x) (.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)
(.f64 1 (.f64 8 (pow.f64 (sinh.f64 x) 3)))
(.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (*.f64 2 (sinh.f64 x)))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(*.f64 (pow.f64 (sinh.f64 x) 3) 8)
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 3) (*.f64 2 (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 2) (sinh.f64 x))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sinh.f64 x)) 2)
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1) (.f64 2 (sinh.f64 x)))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (sinh.f64 x) 3)))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (+.f64 x x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 8 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 8)
(+.f64 (.f64 4 (pow.f64 x 5)) (.f64 8 (pow.f64 x 3)))
(fma.f64 4 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 8))
(fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 5) 4))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 13/15 (pow.f64 x 7))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 13/15)))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (*.f64 (pow.f64 x 7) 13/15)))
(fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 5) 4 (*.f64 (pow.f64 x 7) 13/15)))
(+.f64 (.f64 4 (pow.f64 x 5)) (+.f64 (.f64 8 (pow.f64 x 3)) (+.f64 (.f64 13/15 (pow.f64 x 7)) (.f64 41/378 (pow.f64 x 9)))))
(fma.f64 4 (pow.f64 x 5) (fma.f64 8 (pow.f64 x 3) (fma.f64 13/15 (pow.f64 x 7) (*.f64 41/378 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 7) 13/15 (*.f64 41/378 (pow.f64 x 9)))))
(fma.f64 (pow.f64 x 3) 8 (fma.f64 (pow.f64 x 5) 4 (fma.f64 (pow.f64 x 7) 13/15 (*.f64 41/378 (pow.f64 x 9)))))
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) 3)
(pow.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 3)
(+.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 (sinh.f64 x) 2)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sinh.f64 x)) 1)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 1 (.f64 2 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1/3) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 1 1/3) (.f64 2 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(*.f64 (pow.f64 8 1/3) (sinh.f64 x))
(*.f64 (sinh.f64 x) (cbrt.f64 8))
(.f64 (pow.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2) 1/3))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(.f64 (.f64 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.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) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 (neg.f64 x) (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x -2))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2)) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(/.f64 (.f64 (.f64 2 (sinh.f64 x)) 2) 2)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(/.f64 (.f64 2 (.f64 2 (sinh.f64 x))) 2)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 2 (sinh.f64 x)) 1)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 1/3)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 3)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) -1)
(+.f64 (*.f64 2 (sinh.f64 x)) 0)
(*.f64 2 (sinh.f64 x))
(-.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) 1)
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 2 (.f64 (sinh.f64 x) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (sinh.f64 x) (.f64 2 (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 2 (sinh.f64 x)) (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 8 (pow.f64 (sinh.f64 x) 3)) 1)
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 1 (.f64 8 (pow.f64 (sinh.f64 x) 3)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (*.f64 2 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (*.f64 4 (pow.f64 (sinh.f64 x) 2))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(*.f64 (pow.f64 (sinh.f64 x) 3) 8)
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 3/2) (pow.f64 (*.f64 2 (sinh.f64 x)) 3/2))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) 3) (*.f64 2 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) 3) (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 3))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) 2) (sinh.f64 x))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)) (sinh.f64 x)) 2)
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) 1) (.f64 2 (sinh.f64 x)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2)) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(.f64 (.f64 (.f64 4 (pow.f64 (sinh.f64 x) 2)) (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(sqrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 6))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 (sinh.f64 x) 3)))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(cbrt.f64 (pow.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 3))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(expm1.f64 (log1p.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(log1p.f64 (expm1.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 2 (sinh.f64 x)))))
(+.f64 (+.f64 1 (*.f64 8 (pow.f64 (sinh.f64 x) 3))) -1)
(+.f64 (*.f64 8 (pow.f64 (sinh.f64 x) 3)) 0)
(*.f64 8 (pow.f64 (sinh.f64 x) 3))

localize33.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x x) x)
✓	0.1b	(.f64 1/3 (.f64 (*.f64 x x) x))

Compiler

Compiled 46 to 21 computations (54.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 (.f64 x x) x)
0.0ms	x	@	-inf	(.f64 (.f64 x x) x)
0.0ms	x	@	0	(.f64 1/3 (.f64 (*.f64 x x) x))
0.0ms	x	@	-inf	(.f64 1/3 (.f64 (*.f64 x x) x))
0.0ms	x	@	inf	(.f64 1/3 (.f64 (*.f64 x x) x))

rewrite39.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`pow1_binary64`
484×	`add-sqr-sqrt_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1351	11

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify34.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

983×	`log-prod_binary64`
546×	`associate-l_binary64`
525×	`associate-r_binary64`
477×	`fma-def_binary64`
308×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	253
1	130	253
2	476	253
3	3499	253

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/3 (.f64 (.f64 x x) x)) (.f64 1/60 (pow.f64 x 5)))
	0.1b	(*.f64 1/60 (pow.f64 x 5))
	0.1b	(.f64 (.f64 x x) x)
	0.1b	(.f64 1/3 (.f64 (*.f64 x x) x))

Compiler

Compiled 81 to 46 computations (43.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (*.f64 1/3 (*.f64 (*.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))

0.0ms

-inf

(+.f64 (*.f64 1/3 (*.f64 (*.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))

0.0ms

inf

(+.f64 (*.f64 1/3 (*.f64 (*.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
380×	`exp-prod_binary64`
348×	`fma-def_binary64`
311×	`pow-prod-down_binary64`
279×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	238	14
2	2914	14

Stop Event

1×	node limit

Counts

1 → 72

Calls

Call 1

Inputs
(+.f64 (.f64 1/3 (.f64 (.f64 x x) x)) (.f64 1/60 (pow.f64 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))) (/.f64 (*.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))) (neg.f64 (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 10) 1/3600) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 1/60 (pow.f64 x 5)) (-.f64 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))))) 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5) (*.f64 1/3 (pow.f64 x 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 1/3 (*.f64 x x)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 x 3)) 1 (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5)) 1 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/60 (pow.f64 x 5)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 10) (*.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 1/3)) (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 x (cbrt.f64 1/3)) 2) (*.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (*.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) 1/3) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (*.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 1/60) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (*.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 x) (*.f64 x x) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 x x)) 1) x (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/3 (*.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 (cbrt.f64 x) 10)) (pow.f64 (cbrt.f64 x) 5) (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (*.f64 1/3 (pow.f64 x 3)))))))

simplify89.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

422×	`associate-/r*_binary64`
319×	`distribute-rgt-neg-in_binary64`
297×	`fma-def_binary64`
279×	`distribute-lft-neg-in_binary64`
270×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	1604
1	473	1560
2	1300	1542
3	4306	1532

Stop Event

1×	node limit

Counts

84 → 87

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))) 1)
(.f64 1 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))
(.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000))) (neg.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 1/3600) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(pow.f64 (/.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))) -1)
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))
(log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))
(cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5)) 1 (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) 1) x (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (pow.f64 (cbrt.f64 x) 10)) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(*.f64 1/60 (pow.f64 x 5))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(-.f64 (/.f64 (.f64 (pow.f64 x 6) 1/9) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))) (/.f64 (.f64 (pow.f64 x 10) 1/3600) (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 1 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (/.f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 1 (/.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5))))))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000))) (neg.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600))) (neg.f64 (fma.f64 1/3 (pow.f64 x 3) (*.f64 -1/60 (pow.f64 x 5)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (-.f64 (.f64 (pow.f64 x 10) 1/3600) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 1)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2) 1/2)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3) 1/3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 3)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 2)
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(pow.f64 (/.f64 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) 1/27 (*.f64 (pow.f64 x 15) 1/216000))) -1)
(.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (/.f64 1 (fma.f64 (.f64 1/60 (pow.f64 x 5)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 1/60 (pow.f64 x 5) (.f64 (pow.f64 x 3) -1/3)) (.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 10) 1/3600 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(/.f64 (fma.f64 (pow.f64 x 9) 1/27 (.f64 (pow.f64 x 15) 1/216000)) (fma.f64 (pow.f64 x 6) 1/9 (fma.f64 (pow.f64 x 10) 1/3600 (.f64 (pow.f64 x 5) (*.f64 (pow.f64 x 3) -1/180)))))
(pow.f64 (/.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 -1/60 (pow.f64 x 5))) (-.f64 (.f64 (pow.f64 x 6) 1/9) (*.f64 (pow.f64 x 10) 1/3600))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (pow.f64 x 10) 1/3600)) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/9 (.f64 (pow.f64 x 10) -1/3600)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(/.f64 (fma.f64 (pow.f64 x 10) -1/3600 (.f64 (pow.f64 x 6) 1/9)) (fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 x 5) -1/60)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))) 2)) (cbrt.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))))) (sqrt.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5)))))) (sqrt.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/60 (pow.f64 x 5))))))
(sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (pow.f64 (exp.f64 1/60) (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 x 3))) (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5))))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (*.f64 1/60 (pow.f64 x 5))))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (cbrt.f64 (exp.f64 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (pow.f64 (exp.f64 1/60) (pow.f64 x 5)) (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/60 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 x 3))))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))) 3))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3)))) 1))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))) 1/3))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 3))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 1/3 (pow.f64 x 3))))) 2))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))) 1) 1))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 x (.f64 1/3 (.f64 x x)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 x x) (.f64 x 1/3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3)) 1 (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5) 1/60 (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (pow.f64 x 5)) 1 (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1 (.f64 1/60 (pow.f64 x 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 (pow.f64 (cbrt.f64 x) 5) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5))))
(fma.f64 1/60 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 x (cbrt.f64 1/3)) (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 1/3)) 2) (.f64 x (cbrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (.f64 (pow.f64 x 10) 1/3600)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (cbrt.f64 (.f64 1/60 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 1/3600))))
(fma.f64 (pow.f64 x 3/2) (.f64 (pow.f64 x 3/2) 1/3) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (.f64 (pow.f64 x 3/2) (sqrt.f64 1/3)) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (.f64 (sqrt.f64 1/60) (pow.f64 x 5/2)) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (pow.f64 x 5/2) (.f64 (pow.f64 x 5/2) 1/60) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (.f64 x x)) x (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 x) (.f64 x x) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) 1) x (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 (.f64 1/3 (.f64 x x)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))
(fma.f64 (.f64 1/60 (pow.f64 (cbrt.f64 x) 10)) (pow.f64 (cbrt.f64 x) 5) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (.f64 (pow.f64 (cbrt.f64 x) 10) (.f64 1/60 (pow.f64 (cbrt.f64 x) 5))))
(fma.f64 1/60 (pow.f64 (pow.f64 (cbrt.f64 x) 5) 3) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 (.f64 1/60 (pow.f64 x 5/2)) (pow.f64 x 5/2) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (*.f64 2 (sinh.f64 x)))
	0.0b	(sinh.f64 x)
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

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

rewrite39.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`pow1_binary64`
509×	`add-log-exp_binary64`
508×	`log1p-expm1-u_binary64`
508×	`expm1-log1p-u_binary64`
496×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	148	6
2	1459	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2)

Outputs

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

simplify43.0ms (1%)

Algorithm

1×	egg-herbie

Rules

680×	`distribute-rgt-in_binary64`
634×	`distribute-lft-in_binary64`
509×	`fma-def_binary64`
318×	`unswap-sqr_binary64`
255×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	1027
1	230	577
2	589	473
3	2376	337

Stop Event

1×	node limit

Counts

39 → 41

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(*.f64 2 (sinh.f64 x))
(-.f64 (+.f64 1 (*.f64 2 (sinh.f64 x))) 1)
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 (sinh.f64 x) 2)
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 2 (sinh.f64 x)) 1)
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 x))) 2))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (sinh.f64 x)))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 x))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2) (.f64 (cbrt.f64 (sinh.f64 x)) 2))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/4) (.f64 (pow.f64 (.f64 2 (sinh.f64 x)) 1/4) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (sinh.f64 x)) (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))))
(.f64 (sqrt.f64 (sinh.f64 x)) (.f64 (sqrt.f64 (sinh.f64 x)) 2))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 (sqrt.f64 (.f64 2 (sinh.f64 x))) (pow.f64 (.f64 2 (sinh.f64 x)) 1/4)) (pow.f64 (*.f64 2 (sinh.f64 x)) 1/4))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (sinh.f64 x))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 2 (pow.f64 (cbrt.f64 (sinh.f64 x)) 2)) (cbrt.f64 (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 2 (sqrt.f64 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (.f64 2 (sinh.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x)))))
(.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (.f64 (cbrt.f64 (.f64 2 (sinh.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))))))
(.f64 (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 2)) (sqrt.f64 (sinh.f64 x)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) (sqrt.f64 (sinh.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))
(/.f64 (-.f64 (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 2) x) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 3) x) (pow.f64 (exp.f64 x) -3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 (.f64 2 (sinh.f64 x)) 2) 2)
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.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 2 (.f64 2 (sinh.f64 x))) 2)
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(sqrt.f64 (*.f64 4 (pow.f64 (sinh.f64 x) 2)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 x)))
(.f64 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.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 (pow.f64 (sqrt.f64 2) 2) (.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(*.f64 2 (sinh.f64 x))

eval138.0ms (3.2%)

Compiler: Compiled 6471 to 4902 computations (24.2% saved)

prune51.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	372	0	372
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	372	6	378

Error

Counts

378 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.0b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) 2)
✓	0.5b	(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (.f64 (.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))) 2)
✓	0.6b	(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)
✓	0.9b	(/.f64 (+.f64 x x) 2)
✓	0.0b	(/.f64 (*.f64 2 (sinh.f64 x)) 2)
✓	35.6b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) 2)

Compiler

Compiled 67 to 53 computations (20.9% saved)

regimes16.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3))) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (.f64 (.f64 x x) x)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)
(/.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 1/60 (pow.f64 x 5)))) 2)
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 x)) 3)) 2)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 x))) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (sinh.f64 x))) (sqrt.f64 (*.f64 2 (sinh.f64 x)))) 2)
(/.f64 (cbrt.f64 (.f64 (.f64 (.f64 2 (sinh.f64 x)) (.f64 2 (sinh.f64 x))) (*.f64 2 (sinh.f64 x)))) 2)

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

Calls

3 calls:

6.0ms	x
4.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

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 146 to 106 computations (27.4% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.3b remaining (-52.9%)

Threshold costs -0.3b (-52.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x x) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)

Outputs
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	20	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)
(/.f64 (+.f64 x x) 2)

Outputs
(/.f64 (*.f64 2 (sinh.f64 x)) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 (.f64 x x) x))) 2)
(/.f64 (+.f64 (.f64 2 x) (.f64 1/3 (.f64 x (.f64 x x)))) 2)
(/.f64 (+.f64 x x) 2)

Compiler

Compiled 27 to 20 computations (25.9% saved)

soundness68.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

507×	`associate-*l/_binary64`
434×	`associate-*r/_binary64`
417×	`fma-def_binary64`
315×	`distribute-rgt-in_binary64`
303×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	261
1	175	253
2	549	251
3	2047	187
4	7903	187

Stop Event

1×	node limit

Compiler

Compiled 67 to 53 computations (20.9% saved)

end24.0ms (0.6%)

Compiler: Compiled 25 to 18 computations (28% saved)

Details

analyze4.0ms (0.1%)

sample2.3s (55.1%)

preprocess50.0ms (1.2%)

simplify42.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite22.0ms (0.5%)

simplify46.0ms (1.1%)

eval9.0ms (0.2%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (0.9%)

simplify37.0ms (0.9%)

localize4.0ms (0.1%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite40.0ms (0.9%)

simplify47.0ms (1.1%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

rewrite59.0ms (1.4%)

simplify66.0ms (1.6%)

localize13.0ms (0.3%)

series7.0ms (0.2%)

rewrite40.0ms (0.9%)

simplify45.0ms (1.1%)

eval300.0ms (7.1%)

prune125.0ms (2.9%)

localize34.0ms (0.8%)

series5.0ms (0.1%)

rewrite50.0ms (1.2%)

simplify50.0ms (1.2%)

localize33.0ms (0.8%)

series3.0ms (0.1%)

rewrite39.0ms (0.9%)

simplify34.0ms (0.8%)

localize25.0ms (0.6%)

series1.0ms (0%)

rewrite71.0ms (1.7%)

simplify89.0ms (2.1%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite39.0ms (0.9%)

simplify43.0ms (1%)

eval138.0ms (3.2%)

prune51.0ms (1.2%)

regimes16.0ms (0.4%)

regimes5.0ms (0.1%)

simplify3.0ms (0.1%)

soundness68.0ms (1.6%)

end24.0ms (0.6%)

Profiling