Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.9s (72.6%)

Results

1.0s	2752×	body	1024	valid
327.0ms	3219×	body	128	valid
305.0ms	1332×	body	512	valid
161.0ms	272×	body	2048	valid
130.0ms	681×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess24.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

95×	`fma-def_binary64`
80×	`fma-neg_binary64`
32×	`distribute-rgt-in_binary64`
28×	`cancel-sign-sub-inv_binary64`
26×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (exp.f64 x) 1) x)

Outputs
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (expm1.f64 x) x)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`pow1_binary64`
417×	`add-log-exp_binary64`
417×	`log1p-expm1-u_binary64`
417×	`expm1-log1p-u_binary64`
407×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	83	6
2	1104	6

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)

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

Outputs

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

simplify32.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

536×	`unswap-sqr_binary64`
502×	`associate-l_binary64`
484×	`fma-def_binary64`
309×	`associate-r_binary64`
186×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	26	91
1	68	89
2	145	86
3	393	79
4	981	76
5	3095	76

Stop Event

1×	node limit

Counts

44 → 42

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (.f64 x (.f64 x 1/6))))
(fma.f64 x (*.f64 x 1/6) (fma.f64 1/2 x 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (.f64 (.f64 x x) (+.f64 (*.f64 x 1/24) 1/6)))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 x (fma.f64 x 1/6 1/2) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 1/24 1/6) 1/2) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)

prune27.0ms (1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Alt Table

Status	Error	Program
	39.8b	(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

Compiler

Compiled 396 to 198 computations (50% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series15.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(log1p.f64 (/.f64 (expm1.f64 x) x))
4.0ms	x	@	inf	(log1p.f64 (/.f64 (expm1.f64 x) x))
1.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
1.0ms	x	@	inf	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
1.0ms	x	@	0	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

rewrite38.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
492×	`expm1-log1p-u_binary64`
491×	`add-log-exp_binary64`
491×	`log1p-expm1-u_binary64`
479×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	104	14
2	1310	14

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

Outputs

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

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

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

529×	`associate-+l+_binary64`
444×	`fma-neg_binary64`
405×	`associate-+r+_binary64`
331×	`associate--r+_binary64`
320×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	92	764
1	259	732
2	883	702
3	4805	702

Stop Event

1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 1/192 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)))))))))))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)))))))))))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (.f64 x (.f64 x 1/6))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 1/24 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (.f64 (.f64 x x) (+.f64 (*.f64 x 1/24) 1/6)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (*.f64 x 1/4))
(fma.f64 x 1/4 (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (fma.f64 5/96 (.f64 x x) (.f64 x 1/4)))
(+.f64 (log.f64 2) (fma.f64 x 1/4 (.f64 x (.f64 x 5/96))))
(fma.f64 (*.f64 x x) 5/96 (fma.f64 x 1/4 (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (+.f64 (.f64 1/4 x) (*.f64 1/192 (pow.f64 x 3)))))
(+.f64 (log.f64 2) (fma.f64 5/96 (.f64 x x) (fma.f64 1/4 x (.f64 (pow.f64 x 3) 1/192))))
(+.f64 (log.f64 2) (fma.f64 (.f64 x x) 5/96 (fma.f64 x 1/4 (.f64 (pow.f64 x 3) 1/192))))
(+.f64 (.f64 x (+.f64 (.f64 x 5/96) 1/4)) (fma.f64 (pow.f64 x 3) 1/192 (log.f64 2)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (/.f64 (exp.f64 x) (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (/.f64 (exp.f64 x) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 1 x)))))
(+.f64 (/.f64 (exp.f64 x) (.f64 x x)) (-.f64 (/.f64 (expm1.f64 x) x) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 3))) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (exp.f64 x) x) 3) (/.f64 (exp.f64 x) (.f64 x x))) (-.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)))))))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (.f64 x x))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4))))))))))
(-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (/.f64 (exp.f64 x) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))) (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)) (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 3)))) (fma.f64 3/2 (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (.f64 x x)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 (exp.f64 x) x) 3) (/.f64 (exp.f64 x) (pow.f64 x 3)))))) (-.f64 (/.f64 (expm1.f64 x) x) (/.f64 1/3 (pow.f64 x 3)))) (+.f64 (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 4))) (+.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 1/2 (*.f64 x x))))))
(*.f64 -1 (/.f64 (-.f64 1 (exp.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (/.f64 (exp.f64 x) (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (/.f64 (exp.f64 x) (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (/.f64 (exp.f64 x) (.f64 x x)) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 1 x)))))
(+.f64 (/.f64 (exp.f64 x) (.f64 x x)) (-.f64 (/.f64 (expm1.f64 x) x) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) (pow.f64 x 2))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)))))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 3))) (/.f64 1/3 (pow.f64 x 3)))))
(+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (fma.f64 1/3 (pow.f64 (/.f64 (exp.f64 x) x) 3) (/.f64 (exp.f64 x) (.f64 x x))) (-.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1/2 (.f64 x x)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (*.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))))))))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 2)) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))))))) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3)) (*.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)))))))))))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (/.f64 (exp.f64 x) (pow.f64 x 3))) (+.f64 (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4)))) (+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (.f64 x x))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4)) (+.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4))))))))))
(-.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 3)) (/.f64 (exp.f64 x) (pow.f64 x 4))) (fma.f64 1/3 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 3)) (/.f64 (exp.f64 x) (.f64 x x)))) (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4))) (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 1/2 (.f64 x x)) (+.f64 (+.f64 (fma.f64 1/2 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 x x)) (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)) (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 3)))) (fma.f64 3/2 (/.f64 (exp.f64 (+.f64 x x)) (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 4)))) (/.f64 1/3 (pow.f64 x 3)))))
(-.f64 (+.f64 (+.f64 (/.f64 (exp.f64 x) (.f64 x x)) (+.f64 (/.f64 (exp.f64 x) (pow.f64 x 4)) (+.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 (exp.f64 x) x) 3) (/.f64 (exp.f64 x) (pow.f64 x 3)))))) (-.f64 (/.f64 (expm1.f64 x) x) (/.f64 1/3 (pow.f64 x 3)))) (+.f64 (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 4)) (/.f64 1/4 (pow.f64 x 4))) (+.f64 (fma.f64 1/4 (/.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 x 4)) (/.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 x) 2) (.f64 x x)) (/.f64 1/2 (*.f64 x x))))))

prune76.0ms (2.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Error

Counts

126 → 2

Alt Table

Status	Error	Program
▶	39.8b	(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

Compiler

Compiled 1612 to 842 computations (47.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (expm1.f64 x) 3)
✓	11.8b	(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
✓	27.1b	(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))

series101.0ms (3.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
84.0ms	x	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
4.0ms	x	@	-inf	(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
4.0ms	x	@	inf	(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
3.0ms	x	@	-inf	(pow.f64 (expm1.f64 x) 3)
2.0ms	x	@	inf	(pow.f64 (expm1.f64 x) 3)

rewrite54.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
734×	`log1p-expm1-u_binary64`
734×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
73×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	178	21
2	2039	21

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(pow.f64 (expm1.f64 x) 3)

Outputs

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

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

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

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary64`
515×	`associate-l_binary64`
354×	`associate-r_binary64`
206×	`times-frac_binary64`
168×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	384
1	151	380
2	393	354
3	1279	316
4	4932	316

Stop Event

1×	node limit

Counts

141 → 131

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 3/2 x))
(+.f64 1 (+.f64 (.f64 5/4 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 1 (+.f64 (.f64 5/4 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 3/4 (pow.f64 x 3)))))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(pow.f64 x 3)
(+.f64 (*.f64 3/2 (pow.f64 x 4)) (pow.f64 x 3))
(+.f64 (.f64 3/2 (pow.f64 x 4)) (+.f64 (.f64 5/4 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (.f64 3/2 (pow.f64 x 4)) (+.f64 (.f64 5/4 (pow.f64 x 5)) (+.f64 (*.f64 3/4 (pow.f64 x 6)) (pow.f64 x 3))))
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)

Outputs
1
(+.f64 1 (*.f64 3/2 x))
(fma.f64 3/2 x 1)
(+.f64 1 (+.f64 (.f64 5/4 (pow.f64 x 2)) (.f64 3/2 x)))
(+.f64 1 (fma.f64 5/4 (.f64 x x) (.f64 3/2 x)))
(fma.f64 3/2 x (fma.f64 x (*.f64 x 5/4) 1))
(fma.f64 x (fma.f64 x 5/4 3/2) 1)
(+.f64 1 (+.f64 (.f64 5/4 (pow.f64 x 2)) (+.f64 (.f64 3/2 x) (*.f64 3/4 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 5/4 (.f64 x x) (fma.f64 3/2 x (.f64 3/4 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 3/4 (pow.f64 x 3) (.f64 x (+.f64 (.f64 x 5/4) 3/2))))
(fma.f64 x (fma.f64 x 5/4 3/2) (fma.f64 3/4 (pow.f64 x 3) 1))
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
(/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))
(/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3))
(pow.f64 (/.f64 (expm1.f64 x) x) 3)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 x 1/2)))
(+.f64 (.f64 x (.f64 x 1/6)) (fma.f64 x 1/2 1))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) 1/6 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (fma.f64 1/2 x (.f64 (pow.f64 x 3) 1/24))))
(+.f64 1 (fma.f64 (.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 (.f64 x 1/2))))
(+.f64 1 (fma.f64 x 1/2 (.f64 (.f64 x x) (+.f64 (*.f64 x 1/24) 1/6))))
(fma.f64 x 1/2 (fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1))) x)
(neg.f64 (/.f64 (*.f64 (cbrt.f64 -1) (expm1.f64 x)) x))
(neg.f64 (/.f64 (*.f64 (expm1.f64 x) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1))) x)
(neg.f64 (/.f64 (*.f64 (cbrt.f64 -1) (expm1.f64 x)) x))
(neg.f64 (/.f64 (*.f64 (expm1.f64 x) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1))) x)
(neg.f64 (/.f64 (*.f64 (cbrt.f64 -1) (expm1.f64 x)) x))
(neg.f64 (/.f64 (*.f64 (expm1.f64 x) (cbrt.f64 -1)) x))
(.f64 -1 (/.f64 (-.f64 (.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(neg.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1)) x))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 x) (cbrt.f64 -1)) (cbrt.f64 -1))) x)
(neg.f64 (/.f64 (*.f64 (cbrt.f64 -1) (expm1.f64 x)) x))
(neg.f64 (/.f64 (*.f64 (expm1.f64 x) (cbrt.f64 -1)) x))
(pow.f64 x 3)
(+.f64 (*.f64 3/2 (pow.f64 x 4)) (pow.f64 x 3))
(fma.f64 3/2 (pow.f64 x 4) (pow.f64 x 3))
(*.f64 (fma.f64 3/2 x 1) (pow.f64 x 3))
(+.f64 (.f64 3/2 (pow.f64 x 4)) (+.f64 (.f64 5/4 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 3/2 (pow.f64 x 4) (fma.f64 5/4 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 3/2 (pow.f64 x 4)) (+.f64 (.f64 5/4 (pow.f64 x 5)) (+.f64 (*.f64 3/4 (pow.f64 x 6)) (pow.f64 x 3))))
(fma.f64 3/2 (pow.f64 x 4) (fma.f64 5/4 (pow.f64 x 5) (fma.f64 3/4 (pow.f64 x 6) (pow.f64 x 3))))
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)
(pow.f64 (-.f64 (exp.f64 x) 1) 3)
(pow.f64 (expm1.f64 x) 3)

prune71.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	131	2	133

Error

Counts

133 → 2

Alt Table

Status	Error	Program
✓	39.8b	(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))

Compiler

Compiled 1506 to 879 computations (41.6% saved)

regimes75.0ms (2.8%)

Accuracy

Total -0.0b remaining (-49.8%)

Threshold costs -0.0b (-49.8%)

Counts

48 → 1

Compiler

Compiled 772 to 582 computations (24.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4294967295
1	11	4294967295

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))

Outputs
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))

end59.0ms (2.2%)

Stop Event

1×

done

Compiler

Compiled 35 to 27 computations (22.9% saved)

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6

Details

analyze4.0ms (0.2%)

sample1.9s (72.6%)

preprocess24.0ms (0.9%)

simplify17.0ms (0.6%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite37.0ms (1.4%)

simplify32.0ms (1.2%)

prune27.0ms (1%)

localize6.0ms (0.2%)

series15.0ms (0.5%)

rewrite38.0ms (1.4%)

simplify42.0ms (1.6%)

prune76.0ms (2.8%)

localize7.0ms (0.3%)

series101.0ms (3.8%)

rewrite54.0ms (2%)

simplify37.0ms (1.4%)

prune71.0ms (2.6%)

regimes75.0ms (2.8%)

simplify2.0ms (0.1%)

end59.0ms (2.2%)

Profiling

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6
0	1	1

Iter	Nodes	Cost
0	6	6
1	15	6
2	18	6
3	22	6
4	30	6
5	40	6
6	59	6
7	100	6
8	146	6
9	222	6
10	349	6
11	507	6
12	579	6
13	615	6