Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
78.6%	68.7%	18.7%	0%	12.5%	0%	0%	5
88.5%	71.8%	9.4%	0%	18.7%	0%	0%	6
94%	73.4%	4.7%	0%	21.9%	0%	0%	7
96.9%	74.2%	2.3%	0%	23.4%	0%	0%	8
98.5%	74.6%	1.2%	0%	24.2%	0%	0%	9
99.2%	75%	0.6%	0%	24.4%	0%	0%	10
99.6%	75.1%	0.3%	0%	24.6%	0%	0%	11
99.8%	75.1%	0.1%	0%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.9s (63.2%)

Results

1.1s	2792×	body	1024	valid
424.0ms	3829×	body	256	valid
324.0ms	1352×	body	512	valid
84.0ms	283×	body	2048	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess33.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11
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 8 to 6 computations (25% saved)

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

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)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)

Compiler

Compiled 8 to 3 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`pow1`
1146×	`add-exp-log`
1146×	`log1p-expm1-u`
1144×	`expm1-log1p-u`
1120×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1537	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify56.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1732×	`fma-def`
772×	`log-prod`
592×	`div-sub`
574×	`log-div`
400×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	543
1	230	539
2	789	539
3	4114	527

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

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

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

eval9.0ms (0.3%)

Compiler: Compiled 424 to 210 computations (50.5% saved)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Accurracy

100.0%

Counts

47 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	65.2%	(+.f64 (*.f64 1/2 x) 1)
▶	98.4%	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
	65.8%	1

Compiler

Compiled 27 to 19 computations (29.6% saved)

localize15.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
✓	99.7%	(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))
✓	99.5%	(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
✓	99.4%	(cbrt.f64 (expm1.f64 x))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series12.0ms (0.4%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
2.0ms	x	@	-inf	(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))
2.0ms	x	@	inf	(cbrt.f64 (expm1.f64 x))
2.0ms	x	@	inf	(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))
2.0ms	x	@	-inf	(cbrt.f64 (expm1.f64 x))

rewrite81.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1028×	`log-prod`
878×	`prod-exp`
676×	`pow-prod-down`
538×	`pow-prod-up`
488×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	239	50
2	2732	50

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

Inputs
(cbrt.f64 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))

Outputs
(+.f64 0 (cbrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(.f64 (pow.f64 (expm1.f64 x) 1/6) (.f64 (pow.f64 (expm1.f64 x) 1/6) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(pow.f64 (expm1.f64 x) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 0 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(+.f64 0 (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 1)
(/.f64 (cbrt.f64 (expm1.f64 x)) x)
(/.f64 1 (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (/.f64 x (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 x (pow.f64 (expm1.f64 x) 1/6)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) x)
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (cbrt.f64 (expm1.f64 x))) (neg.f64 x))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2) 1/2)
(pow.f64 (*.f64 (expm1.f64 x) (pow.f64 x -3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 2)
(pow.f64 (/.f64 (expm1.f64 x) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))))
(cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) (pow.f64 x -3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 2))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) (.f64 2/3 (log.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1896×	`fma-def`
1310×	`times-frac`
862×	`distribute-lft-in`
810×	`distribute-rgt-in`
444×	`exp-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	4294970325
1	803	2939
2	2316	2939

Stop Event

1×	node limit

Counts

207 → 203

Calls

Call 1

Inputs
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (-.f64 (exp.f64 x) 1) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(pow.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) 1/3)
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 x) 1)) 1/3) (/.f64 1 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.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 (-.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 0 (cbrt.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) 1)
(*.f64 1 (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 1))
(*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (pow.f64 (expm1.f64 x) 1/6))
(.f64 (pow.f64 (expm1.f64 x) 1/6) (.f64 (pow.f64 (expm1.f64 x) 1/6) 1))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2)))
(pow.f64 (expm1.f64 x) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) 1/6)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/9)
(pow.f64 (pow.f64 (expm1.f64 x) 1/6) 2)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2/3)
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(fabs.f64 (cbrt.f64 (expm1.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1/2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 (expm1.f64 x))) 2))
(log1p.f64 (expm1.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 0 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2))
(*.f64 (pow.f64 (expm1.f64 x) 1/6) (sqrt.f64 (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 5) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(sqrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(exp.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (expm1.f64 x))) 1/3))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2))))
(+.f64 0 (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 1)
(/.f64 (cbrt.f64 (expm1.f64 x)) x)
(/.f64 1 (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) 2) (/.f64 x (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(/.f64 (pow.f64 (expm1.f64 x) 1/6) (/.f64 x (pow.f64 (expm1.f64 x) 1/6)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) 1) x)
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) -1) (neg.f64 x))
(/.f64 (*.f64 -1 (cbrt.f64 (expm1.f64 x))) (neg.f64 x))
(pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2) 1/2)
(pow.f64 (*.f64 (expm1.f64 x) (pow.f64 x -3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 2)
(pow.f64 (/.f64 (expm1.f64 x) (pow.f64 x 3)) 1/3)
(pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1)
(sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))))
(cbrt.f64 (*.f64 (expm1.f64 x) (pow.f64 x -3)))
(cbrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (expm1.f64 x) (pow.f64 x -3))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))) 2))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (cbrt.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1/3)))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1/3) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (expm1.f64 x)) 1/3) (.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (cbrt.f64 (expm1.f64 x))) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (*.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (expm1.f64 x))) 2)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1)))
(exp.f64 (+.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x))))
(exp.f64 (+.f64 (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1) (*.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) (.f64 (.f64 2/3 (log.f64 (expm1.f64 x))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) (.f64 2/3 (log.f64 (expm1.f64 x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)) 1) (.f64 (*.f64 2/3 (log.f64 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) 1)))
(exp.f64 (-.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (log.f64 x)))
(exp.f64 (-.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

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

localize6.0ms (0.2%)

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

eval321.0ms (10.5%)

Compiler: Compiled 3744 to 1885 computations (49.7% saved)

prune37.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	245	1	246
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	246	4	250

Accurracy

100.0%

Counts

250 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	65.2%	(+.f64 (*.f64 1/2 x) 1)
▶	98.4%	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
	65.8%	1

Compiler

Compiled 25 to 17 computations (32% saved)

localize12.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 (cbrt.f64 (expm1.f64 x)) x)
✓	99.7%	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
	99.5%	(pow.f64 (cbrt.f64 (expm1.f64 x)) 2)
	99.4%	(cbrt.f64 (expm1.f64 x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
0.0ms	x	@	0	(/.f64 (cbrt.f64 (expm1.f64 x)) x)
0.0ms	x	@	inf	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
0.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
0.0ms	x	@	-inf	(/.f64 (cbrt.f64 (expm1.f64 x)) x)

rewrite116.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`pow1`
1740×	`add-exp-log`
1740×	`log1p-expm1-u`
1738×	`expm1-log1p-u`
1700×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	26
2	2438	26

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (cbrt.f64 (expm1.f64 x)) x)

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-/l*`
1042×	`associate-*r/`
946×	`unswap-sqr`
800×	`associate-*l/`
738×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	1088
1	352	1078
2	1404	1078

Stop Event

1×	node limit

Counts

76 → 73

Calls

Call 1

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

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

eval59.0ms (1.9%)

Compiler: Compiled 2890 to 1267 computations (56.2% saved)

prune23.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	199	4	203

Accurracy

100.0%

Counts

203 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	65.2%	(+.f64 (*.f64 1/2 x) 1)
✓	98.4%	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
	65.8%	1

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	65.2%	(+.f64 (*.f64 1/2 x) 1)
✓	98.4%	(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
	65.8%	1

Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

4.0ms	x
2.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (exp.f64 x) 1) x)`

Compiler

Compiled 50 to 29 computations (42% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.9b remaining (-4%)

Threshold costs -0.9b (-4%)

Counts

2 → 1

Calls

Call 1

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

Outputs
1

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
65.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	9	12

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
1

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

soundness42.0ms (1.4%)

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Stop Event

1×

saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

end51.0ms (1.7%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Details

analyze4.0ms (0.1%)

sample1.9s (63.2%)

preprocess33.0ms (1.1%)

simplify38.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (1.7%)

simplify56.0ms (1.8%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

localize15.0ms (0.5%)

series12.0ms (0.4%)

rewrite81.0ms (2.6%)

simplify75.0ms (2.4%)

localize6.0ms (0.2%)

eval321.0ms (10.5%)

prune37.0ms (1.2%)

localize12.0ms (0.4%)

series1.0ms (0%)

rewrite116.0ms (3.8%)

simplify51.0ms (1.7%)

eval59.0ms (1.9%)

prune23.0ms (0.7%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes13.0ms (0.4%)

regimes4.0ms (0.1%)

simplify4.0ms (0.1%)

soundness42.0ms (1.4%)

end51.0ms (1.7%)

Profiling

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11
0	1	1

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11