Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample2.8s (74.4%)

Results

1.7s	4074×	body	1024	valid
554.0ms	2022×	body	512	valid
205.0ms	1060×	body	256	valid
203.0ms	435×	body	2048	valid
85.0ms	665×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 20 to 16 computations (20% saved)

preprocess38.0ms (1%)

Algorithm

2×	egg-herbie

Rules

618×	`fma-neg_binary64`
508×	`associate-/l*_binary64`
414×	`associate-/r/_binary64`
307×	`associate-/l/_binary64`
215×	`fma-def_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	261	13
6	714	13
7	2100	13
8	4939	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 9 to 7 computations (22.2% saved)

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary64`
508×	`associate-/l*_binary64`
414×	`associate-/r/_binary64`
307×	`associate-/l/_binary64`
215×	`fma-def_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	261	13
6	714	13
7	2100	13
8	4939	12

Stop Event

1×	node limit

Counts

1 → 2

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)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

57.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	57.8b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 2)

Compiler

Compiled 35 to 25 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

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)))

rewrite27.0ms (0.7%)

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	2149	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 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 expm1.f64 (log1p.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 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 expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 x))))))))

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
676×	`unswap-sqr_binary64`
319×	`associate-l_binary64`
247×	`*-commutative_binary64`
207×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	64	98
2	148	98
3	382	98
4	735	98
5	1617	98
6	2513	98
7	4099	98

Stop Event

1×	node limit

Counts

21 → 22

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))

Outputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(.f64 x (fma.f64 x (.f64 x 1/3) 2))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (.f64 1/60 (pow.f64 x 5)))
(fma.f64 2 x (fma.f64 1/60 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 x (fma.f64 x (.f64 x 1/3) 2) (fma.f64 1/60 (pow.f64 x 5) (.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2 x (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (.f64 x (fma.f64 x (.f64 x 1/3) 2))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

prune24.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	3	23

Error

Counts

23 → 3

Alt Table

Status	Error	Program
	57.8b	(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)
▶	0.5b	(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)
	32.9b	(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Status

Error

Program

57.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

▶

0.5b

(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)

32.9b

(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 414 to 274 computations (33.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))
✓	0.0b	(fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))
✓	0.0b	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))

series7.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
1.0ms	x	@	inf	(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
1.0ms	x	@	0	(fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))
1.0ms	x	@	0	(*.f64 1/3 (pow.f64 x 3))
1.0ms	x	@	inf	(*.f64 1/3 (pow.f64 x 3))

rewrite53.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`
215×	`prod-diff_binary64`
159×	`add-sqr-sqrt_binary64`
154×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	346	64
2	3578	64

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 x) (log.f64 1/3)) 1))))) (#(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 +.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/2520 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2520 (pow.f64 x 7)) 1) (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/2520 (pow.f64 x 7)) 3) (pow.f64 (.f64 1/3 (pow.f64 x 3)) 3)) (fma.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/2520 (pow.f64 x 7)) (-.f64 (.f64 (pow.f64 x 6) 1/9) (.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/2520 (pow.f64 x 7))) (.f64 (pow.f64 x 6) 1/9)) (-.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) (.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x 2) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x 2) 1) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2 (.f64 1/2520 (pow.f64 x 7))) (.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 2) (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x 2) 3) (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 3)) (fma.f64 (.f64 x 2) (.f64 x 2) (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 2) (.f64 (.f64 x 2) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (pow.f64 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))) 2)) (-.f64 (.f64 x 2) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) (.f64 1/60 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/60 (pow.f64 x 5)) 1) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/60 (pow.f64 x 5) (.f64 x 2)) (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 2) (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/60 (pow.f64 x 5)) 3) (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 3)) (fma.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/60 (pow.f64 x 5)) (-.f64 (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2) (.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/60 (pow.f64 x 5))) (pow.f64 (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))) 2)) (-.f64 (.f64 1/60 (pow.f64 x 5)) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (.f64 1/2520 (pow.f64 x 7)))))))))))

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
516×	`sqr-pow_binary64`
435×	`fma-def_binary64`
296×	`associate-l_binary64`
252×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	504
1	69	504
2	146	504
3	355	504
4	614	504
5	1327	504
6	1952	504
7	2901	504
8	3055	504
9	3303	504
10	3622	504
11	4103	504
12	4782	504

Stop Event

1×	node limit

Counts

120 → 102

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 x (.f64 1/3 x) 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 x 2)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))
(.f64 x (fma.f64 x (.f64 1/3 x) 2))
(.f64 x (fma.f64 1/3 (.f64 x x) 2))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2)))
(fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/60 (pow.f64 x 5) (*.f64 x 2)))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (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 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 x 2))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (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 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (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 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 x 2))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (*.f64 1/60 (pow.f64 x 5)))))
(*.f64 1/2520 (pow.f64 x 7))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/60 (pow.f64 x 5) (*.f64 1/2520 (pow.f64 x 7)))
(fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7))))
(fma.f64 1/2520 (pow.f64 x 7) (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 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 2 x) (.f64 1/3 (pow.f64 x 3)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 x 2))))
(fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/60 (pow.f64 x 5)))))
(fma.f64 x 2 (fma.f64 1/2520 (pow.f64 x 7) (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 1/2520 (pow.f64 x 7) (fma.f64 1/60 (pow.f64 x 5) (*.f64 x 2))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 x 2 (*.f64 1/60 (pow.f64 x 5)))))

prune89.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Error

Counts

105 → 3

Alt Table

Status

Error

Program

57.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

✓

0.5b

(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)

▶

32.9b

(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 2625 to 2131 computations (18.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 2 (sinh.f64 x)))
✓	0.0b	(sinh.f64 x)
✓	2.9b	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))

series61.0ms (1.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(log.f64 (*.f64 2 (sinh.f64 x)))
25.0ms	x	@	inf	(log.f64 (*.f64 2 (sinh.f64 x)))
5.0ms	x	@	-inf	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
2.0ms	x	@	0	(log.f64 (*.f64 2 (sinh.f64 x)))
1.0ms	x	@	inf	(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))

rewrite40.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`pow1_binary64`
511×	`add-log-exp_binary64`
510×	`log1p-expm1-u_binary64`
510×	`expm1-log1p-u_binary64`
500×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	128	17
2	1398	17

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 x))))
(sinh.f64 x)
(log.f64 (*.f64 2 (sinh.f64 x)))

Outputs

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

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

simplify34.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

796×	`fma-neg_binary64`
507×	`associate-l_binary64`
505×	`unswap-sqr_binary64`
408×	`associate-r_binary64`
240×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	468
1	142	462
2	373	450
3	1213	450
4	3523	450

Stop Event

1×	node limit

Counts

111 → 101

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))
(+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) 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 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/6 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (pow.f64 x 2)))) (.f64 1/180 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 1/2835 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (pow.f64 x 2))))) (*.f64 1/180 (pow.f64 x 4)))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))

Outputs
(*.f64 2 x)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))
(fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2 x)))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x)))
(fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/60 (pow.f64 x 5))))
(+.f64 (.f64 1/60 (pow.f64 x 5)) (+.f64 (.f64 1/2520 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2 x))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/3 (pow.f64 x 3) (*.f64 1/2520 (pow.f64 x 7)))))
(fma.f64 1/60 (pow.f64 x 5) (fma.f64 1/2520 (pow.f64 x 7) (fma.f64 2 x (*.f64 1/3 (pow.f64 x 3)))))
(-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
(-.f64 (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)))
x
(+.f64 (*.f64 1/6 (pow.f64 x 3)) x)
(fma.f64 1/6 (pow.f64 x 3) x)
(fma.f64 (pow.f64 x 3) 1/6 x)
(+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/6 (pow.f64 x 3)) x))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/6 (pow.f64 x 3) x))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) 1/6 x))
(fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 5) 1/120 x))
(+.f64 (.f64 1/120 (pow.f64 x 5)) (+.f64 (.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/6 (pow.f64 x 3)) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 1/6 (pow.f64 x 3) x)))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 7) 1/5040 (fma.f64 (pow.f64 x 3) 1/6 x)))
(fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 (pow.f64 x 7) 1/5040 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(*.f64 1/2 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) 1/2)
(fma.f64 (exp.f64 x) 1/2 (/.f64 -1/2 (exp.f64 x)))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (*.f64 1/6 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (.f64 x x))))
(+.f64 (log.f64 2) (fma.f64 1/6 (*.f64 x x) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 1/6 (*.f64 x x) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (pow.f64 x 2)))) (.f64 1/180 (pow.f64 x 4)))
(+.f64 (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (.f64 x x)))) (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 (fma.f64 1/6 (.f64 x x) (log.f64 x)) (-.f64 (log.f64 2) (.f64 1/180 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) -1/180 (+.f64 (log.f64 x) (fma.f64 1/6 (*.f64 x x) (log.f64 2))))
(-.f64 (+.f64 (.f64 1/2835 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (pow.f64 x 2))))) (*.f64 1/180 (pow.f64 x 4)))
(+.f64 (fma.f64 1/2835 (pow.f64 x 6) (+.f64 (log.f64 2) (+.f64 (log.f64 x) (.f64 1/6 (.f64 x x))))) (*.f64 -1/180 (pow.f64 x 4)))
(+.f64 (+.f64 (fma.f64 1/6 (.f64 x x) (log.f64 x)) (fma.f64 1/2835 (pow.f64 x 6) (log.f64 2))) (.f64 (pow.f64 x 4) -1/180))
(fma.f64 (pow.f64 x 4) -1/180 (+.f64 (fma.f64 x (*.f64 x 1/6) (log.f64 x)) (fma.f64 1/2835 (pow.f64 x 6) (log.f64 2))))
(fma.f64 (pow.f64 x 4) -1/180 (+.f64 (log.f64 2) (fma.f64 1/2835 (pow.f64 x 6) (fma.f64 x (*.f64 x 1/6) (log.f64 x)))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (/.f64 1 (exp.f64 x))))
(log.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

prune58.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Status

Error

Program

▶

57.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

✓

0.5b

(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)

✓

32.9b

(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 1407 to 1022 computations (27.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓	0.0b	(pow.f64 (exp.f64 x) 3)
✓	0.1b	(pow.f64 (exp.f64 (neg.f64 x)) 3)
✓	4.3b	(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))

series7.0ms (0.2%)

Counts

4 → 28

Calls

12 calls:

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

rewrite155.0ms (4.2%)

Algorithm

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

Rules

903×	`prod-diff_binary64`
437×	`pow1_binary64`
411×	`add-log-exp_binary64`
410×	`log1p-expm1-u_binary64`
410×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	64
1	226	64
2	3385	64
0	9	16
1	205	16
2	3102	16
0	9	16
0	6	8
1	128	6
2	1434	6
0	5	6
1	104	6
2	1077	6
0	6	8
1	117	1
2	1528	1
3	4582	1

Stop Event

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

Counts

4 → 55

Calls

Call 1

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

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

simplify31.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

852×	`fma-neg_binary64`
676×	`fma-def_binary64`
337×	`times-frac_binary64`
290×	`associate-l_binary64`
249×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	252
1	134	246
2	345	239
3	1123	208
4	3550	208

Stop Event

1×	node limit

Counts

83 → 60

Calls

Call 1

Inputs
(*.f64 6 x)
(+.f64 (.f64 9 (pow.f64 x 3)) (.f64 6 x))
(+.f64 (.f64 81/20 (pow.f64 x 5)) (+.f64 (.f64 9 (pow.f64 x 3)) (*.f64 6 x)))
(+.f64 (.f64 81/20 (pow.f64 x 5)) (+.f64 (.f64 243/280 (pow.f64 x 7)) (+.f64 (.f64 9 (pow.f64 x 3)) (.f64 6 x))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
1
(-.f64 1 (*.f64 3 x))
(-.f64 (+.f64 1 (.f64 9/2 (pow.f64 x 2))) (.f64 3 x))
(-.f64 (+.f64 1 (.f64 9/2 (pow.f64 x 2))) (+.f64 (.f64 3 x) (*.f64 9/2 (pow.f64 x 3))))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9/2 (pow.f64 x 3)))))
1
1
1
1
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))

Outputs
(*.f64 6 x)
(+.f64 (.f64 9 (pow.f64 x 3)) (.f64 6 x))
(fma.f64 9 (pow.f64 x 3) (*.f64 6 x))
(fma.f64 6 x (*.f64 9 (pow.f64 x 3)))
(+.f64 (.f64 81/20 (pow.f64 x 5)) (+.f64 (.f64 9 (pow.f64 x 3)) (*.f64 6 x)))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 9 (pow.f64 x 3) (*.f64 6 x)))
(fma.f64 6 x (fma.f64 81/20 (pow.f64 x 5) (*.f64 9 (pow.f64 x 3))))
(fma.f64 x (fma.f64 x (.f64 x 9) 6) (.f64 81/20 (pow.f64 x 5)))
(+.f64 (.f64 81/20 (pow.f64 x 5)) (+.f64 (.f64 243/280 (pow.f64 x 7)) (+.f64 (.f64 9 (pow.f64 x 3)) (.f64 6 x))))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 243/280 (pow.f64 x 7) (fma.f64 9 (pow.f64 x 3) (*.f64 6 x))))
(fma.f64 81/20 (pow.f64 x 5) (fma.f64 9 (pow.f64 x 3) (fma.f64 6 x (*.f64 243/280 (pow.f64 x 7)))))
(fma.f64 9 (pow.f64 x 3) (fma.f64 243/280 (pow.f64 x 7) (fma.f64 81/20 (pow.f64 x 5) (*.f64 6 x))))
(fma.f64 x (fma.f64 x (.f64 x 9) 6) (fma.f64 81/20 (pow.f64 x 5) (.f64 243/280 (pow.f64 x 7))))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 -3) x))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 -3) x))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 -3) x))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (*.f64 -1 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3))
(-.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 (*.f64 x -3)))
(-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 -3) x))
1
(-.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 -3 x))
(+.f64 1 (*.f64 x -3))
(fma.f64 x -3 1)
(-.f64 (+.f64 1 (.f64 9/2 (pow.f64 x 2))) (.f64 3 x))
(+.f64 (+.f64 1 (.f64 9/2 (.f64 x x))) (*.f64 -3 x))
(+.f64 (fma.f64 9/2 (.f64 x x) 1) (.f64 x -3))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (fma.f64 x 9/2 -3) 1)
(-.f64 (+.f64 1 (.f64 9/2 (pow.f64 x 2))) (+.f64 (.f64 3 x) (*.f64 9/2 (pow.f64 x 3))))
(+.f64 1 (-.f64 (.f64 9/2 (.f64 x x)) (fma.f64 3 x (*.f64 (pow.f64 x 3) 9/2))))
(-.f64 (fma.f64 9/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 3) 9/2 (.f64 x 3)))
(+.f64 (fma.f64 x (.f64 x 9/2) 1) (fma.f64 x -3 (.f64 (pow.f64 x 3) -9/2)))
(fma.f64 (pow.f64 x 3) -9/2 (fma.f64 x (fma.f64 x 9/2 -3) 1))
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 -3) x)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 -3) x)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 -3) x)
(pow.f64 (exp.f64 (*.f64 -1 x)) 3)
(pow.f64 (exp.f64 (neg.f64 x)) 3)
(exp.f64 (*.f64 x -3))
(pow.f64 (exp.f64 -3) x)
1
(+.f64 1 (*.f64 3 x))
(+.f64 1 (*.f64 x 3))
(fma.f64 x 3 1)
(+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 2)) (.f64 3 x)))
(+.f64 1 (fma.f64 9/2 (.f64 x x) (.f64 x 3)))
(+.f64 1 (fma.f64 x 3 (.f64 x (.f64 x 9/2))))
(fma.f64 x 3 (fma.f64 x (*.f64 x 9/2) 1))
(fma.f64 x (fma.f64 x 9/2 3) 1)
(+.f64 1 (+.f64 (.f64 9/2 (pow.f64 x 2)) (+.f64 (.f64 3 x) (*.f64 9/2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 9/2 (.f64 x x) (fma.f64 3 x (.f64 (pow.f64 x 3) 9/2))))
(+.f64 (fma.f64 9/2 (.f64 x x) 1) (fma.f64 (pow.f64 x 3) 9/2 (.f64 x 3)))
(+.f64 (.f64 x (+.f64 3 (.f64 x 9/2))) (fma.f64 (pow.f64 x 3) 9/2 1))
(fma.f64 x 3 (fma.f64 x (*.f64 9/2 (fma.f64 x x x)) 1))
(fma.f64 (*.f64 x 9/2) (fma.f64 x x x) (fma.f64 x 3 1))
1
1
1
1
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
1
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
1
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
1
(.f64 (exp.f64 (.f64 -1 x)) (exp.f64 x))
1

prune30.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Error

Counts

63 → 3

Alt Table

Status

Error

Program

✓

57.8b

(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (exp.f64 (neg.f64 x)) 3)) (+.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (+.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) 2)

✓

0.5b

(/.f64 (fma.f64 1/60 (pow.f64 x 5) (fma.f64 2 x (fma.f64 1/2520 (pow.f64 x 7) (*.f64 1/3 (pow.f64 x 3))))) 2)

✓

32.9b

(/.f64 (exp.f64 (log.f64 (*.f64 2 (sinh.f64 x)))) 2)

Compiler

Compiled 2338 to 772 computations (67% saved)

regimes48.0ms (1.3%)

Accuracy

Total -0.0b remaining (-277.1%)

Threshold costs -0.0b (-277.1%)

Counts

48 → 1

Compiler

Compiled 627 to 427 computations (31.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	10	15

Stop Event

1×

saturated

Calls

Call 1

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

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

end68.0ms (1.8%)

Stop Event

1×

done

Compiler

Compiled 86 to 62 computations (27.9% saved)

Details

analyze4.0ms (0.1%)

sample2.8s (74.4%)

preprocess38.0ms (1%)

simplify27.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite27.0ms (0.7%)

simplify30.0ms (0.8%)

prune24.0ms (0.6%)

localize12.0ms (0.3%)

series7.0ms (0.2%)

rewrite53.0ms (1.4%)

simplify80.0ms (2.1%)

prune89.0ms (2.4%)

localize6.0ms (0.2%)

series61.0ms (1.6%)

rewrite40.0ms (1.1%)

simplify34.0ms (0.9%)

prune58.0ms (1.6%)

localize16.0ms (0.4%)

series7.0ms (0.2%)

rewrite155.0ms (4.2%)

simplify31.0ms (0.8%)

prune30.0ms (0.8%)

regimes48.0ms (1.3%)

simplify2.0ms (0%)

end68.0ms (1.8%)

Profiling