Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.6%	25.4%	0%	0%	0%	0
0%	0%	74.6%	25.4%	0%	0%	0%	1
50%	37.3%	37.3%	25.4%	0%	0%	0%	2
66.7%	37.3%	18.7%	25.4%	18.7%	0%	0%	3
83.3%	46.7%	9.3%	25.4%	18.7%	0%	0%	4
90.9%	46.7%	4.7%	25.4%	23.3%	0%	0%	5
95.5%	49%	2.3%	25.4%	23.3%	0%	0%	6
97.7%	49%	1.2%	25.4%	24.5%	0%	0%	7
98.8%	49.6%	0.6%	25.4%	24.5%	0%	0%	8
99.4%	49.9%	0.3%	25.4%	24.5%	0%	0%	9
99.7%	49.9%	0.1%	25.4%	24.6%	0%	0%	10
99.9%	49.9%	0.1%	25.4%	24.7%	0%	0%	11
99.9%	49.9%	0%	25.4%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.6s (82.9%)

Results

1.0s	4134×	body	1024	valid
303.0ms	2101×	body	512	valid
135.0ms	1596×	body	256	valid
120.0ms	425×	body	2048	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess5.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	13	5
2	14	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify11.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	13	5
2	14	5

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% 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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 3 to 2 computations (33.3% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 4 to 2 computations (50% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`associate-r`
710×	`add-sqr-sqrt`
698×	`*-un-lft-identity`
660×	`pow1`
648×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	76	5
2	876	5

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(expm1.f64 x)

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

Outputs

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

simplify49.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1796×	`distribute-lft-in`
1564×	`associate-r`
1264×	`associate-l`
668×	`associate-+r+`
638×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1040
1	275	1028
2	820	986
3	4659	986

Stop Event

1×	node limit

Counts

56 → 70

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(-.f64 (exp.f64 x) 1)
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(-.f64 (exp.f64 x) 1)
(*.f64 (expm1.f64 x) 1)
(*.f64 1 (expm1.f64 x))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 3/2))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/6))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (-.f64 (exp.f64 x) -1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(pow.f64 (expm1.f64 x) 1)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(log.f64 (exp.f64 (expm1.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(exp.f64 (log.f64 (expm1.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 x)))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(fma.f64 1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x 1/2) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) x)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/24 (pow.f64 x 4) x)))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(+.f64 (exp.f64 x) -1)
(expm1.f64 x)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(*.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(*.f64 1 (expm1.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (expm1.f64 x)))
(expm1.f64 x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (fabs.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (sqrt.f64 (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))) (*.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(expm1.f64 x)
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (fabs.f64 (cbrt.f64 (expm1.f64 x))) (.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) 3))
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(expm1.f64 x)
(.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4))) (.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(.f64 (cbrt.f64 (expm1.f64 x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 4)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (cbrt.f64 (expm1.f64 x)))) (sqrt.f64 (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (cbrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (expm1.f64 x))))
(expm1.f64 x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 x))) (cbrt.f64 (sqrt.f64 (expm1.f64 x)))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 3/2))
(expm1.f64 x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 x) 3) 1/6))
(expm1.f64 x)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (-.f64 (exp.f64 x) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) 1) (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -1) (+.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 x) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) 1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 1 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -1) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) 1)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (exp.f64 x) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(pow.f64 (expm1.f64 x) 1)
(expm1.f64 x)
(pow.f64 (sqrt.f64 (expm1.f64 x)) 2)
(expm1.f64 x)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
(expm1.f64 x)
(pow.f64 (pow.f64 (expm1.f64 x) 3) 1/3)
(expm1.f64 x)
(sqrt.f64 (pow.f64 (expm1.f64 x) 2))
(expm1.f64 x)
(log.f64 (exp.f64 (expm1.f64 x)))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (expm1.f64 x) 3))
(expm1.f64 x)
(exp.f64 (log.f64 (expm1.f64 x)))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (expm1.f64 x)))
(expm1.f64 x)

eval14.0ms (0.7%)

Compiler: Compiled 822 to 378 computations (54% saved)

prune8.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Error

Counts

71 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
✓	0.0b	(expm1.f64 x)
	2.5b	x

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 x)
✓	0.6b	(cbrt.f64 (expm1.f64 x))
✓	0.7b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series9.0ms (0.5%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
0.0ms	x	@	0	(cbrt.f64 (expm1.f64 x))
0.0ms	x	@	inf	(cbrt.f64 (expm1.f64 x))

rewrite50.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`add-sqr-sqrt`
1192×	`*-un-lft-identity`
1130×	`add-cube-cbrt`
1118×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	1607	14

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

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

Outputs

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

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

simplify46.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-/l*`
1304×	`associate-*r/`
1128×	`associate-*l/`
1010×	`associate-+r+`
908×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	459
1	204	459
2	752	453
3	2667	453

Stop Event

1×	node limit

Counts

57 → 48

Calls

Call 1

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

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

eval28.0ms (1.5%)

Compiler: Compiled 1481 to 810 computations (45.3% saved)

prune13.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
✓	0.0b	(expm1.f64 x)
	2.5b	x

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
✓	0.0b	(expm1.f64 x)
	2.5b	x

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)
✓	0.0b	(expm1.f64 x)
	2.5b	x

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes10.0ms (0.5%)

Accuracy

Total -58.9b remaining (-1507469.7%)

Threshold costs -58.9b (-1507469.7%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) 3)

Outputs
(expm1.f64 x)

Calls

3 calls:

5.0ms	x
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 (exp.f64 x) 1)`
0.0b	1	`(exp.f64 x)`

Compiler

Compiled 23 to 15 computations (34.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(expm1.f64 x)
x

Outputs
(expm1.f64 x)
x

Compiler

Compiled 5 to 3 computations (40% saved)

soundness11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`expm1-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	13	5
2	14	5

Stop Event

1×

saturated

Compiler

Compiled 7 to 5 computations (28.6% saved)

end13.0ms (0.7%)

Compiler: Compiled 4 to 2 computations (50% saved)

Details

analyze3.0ms (0.2%)

sample1.6s (82.9%)

preprocess5.0ms (0.3%)

simplify11.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize2.0ms (0.1%)

series0.0ms (0%)

rewrite46.0ms (2.4%)

simplify49.0ms (2.6%)

eval14.0ms (0.7%)

prune8.0ms (0.4%)

localize6.0ms (0.3%)

series9.0ms (0.5%)

rewrite50.0ms (2.6%)

simplify46.0ms (2.4%)

eval28.0ms (1.5%)

prune13.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes10.0ms (0.5%)

simplify3.0ms (0.2%)

soundness11.0ms (0.6%)

end13.0ms (0.7%)

Profiling