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)

sample2.4s (52.7%)

Results

1.4s	2670×	body	1024	valid
448.0ms	3902×	body	256	valid
410.0ms	1392×	body	512	valid
85.0ms	292×	body	2048	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess25.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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)

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 8 to 3 computations (62.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite139.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`add-sqr-sqrt`
1246×	`*-un-lft-identity`
1158×	`add-cube-cbrt`
1142×	`add-cbrt-cube`
1130×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1538	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1044×	`associate-+r+`
848×	`associate-+l+`
802×	`*-commutative`
596×	`associate-*r/`
416×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	595
1	240	579
2	990	579
3	4388	579

Stop Event

1×	node limit

Counts

43 → 48

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 (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 (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 (/.f64 1 x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.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)))
(*.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) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(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))
(+.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 (*.f64 x 1/6) (fma.f64 1/2 x (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 (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 (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 (/.f64 1 x) (expm1.f64 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 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (expm1.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.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) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 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)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.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 (/.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)

eval8.0ms (0.2%)

Compiler: Compiled 449 to 217 computations (51.7% saved)

prune51.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Error

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
▶	1.3b	(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
✓	0.0b	(/.f64 (expm1.f64 x) x)
▶	35.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
▶	25.8b	(+.f64 (*.f64 1/2 x) 1)
	25.2b	1

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize5.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (exp.f64 x) x)
✓	3.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
1.0ms	x	@	inf	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
0.0ms	x	@	0	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
0.0ms	x	@	0	(/.f64 (exp.f64 x) x)
0.0ms	x	@	inf	(/.f64 (exp.f64 x) x)

rewrite88.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`associate-/r*`
946×	`*-commutative`
900×	`associate-/l*`
554×	`swap-sqr`
524×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	195	22
2	2766	22

Stop Event

1×	node limit

Counts

2 → 243

Calls

Call 1

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

Outputs
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Outputs

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

simplify122.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-+r+`
944×	`+-commutative`
774×	`fma-def`
704×	`associate-r`
582×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	600	8221
1	1701	7511
2	7502	7511

Stop Event

1×	node limit

Counts

259 → 352

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

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
✓	0.2b	(/.f64 (expm1.f64 x) (cbrt.f64 x))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series15.0ms (0.3%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
3.0ms	x	@	-inf	(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
2.0ms	x	@	inf	(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
1.0ms	x	@	0	(/.f64 (expm1.f64 x) (cbrt.f64 x))
1.0ms	x	@	-inf	(cbrt.f64 x)

rewrite85.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`associate-/l*`
1516×	`associate-*r/`
1128×	`associate-*l/`
942×	`*-commutative`
370×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	209	42
2	2761	42

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

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

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

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-rgt-in`
1630×	`distribute-lft-in`
1122×	`associate-/r/`
762×	`times-frac`
432×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	312	3564
1	703	3464
2	3909	3464

Stop Event

1×	node limit

Counts

170 → 186

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

localize32.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (expm1.f64 x) x)
✓	0.3b	(cbrt.f64 (/.f64 (expm1.f64 x) x))
✓	0.3b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)

Compiler

Compiled 21 to 7 computations (66.7% saved)

series4.0ms (0.1%)

Counts

2 → 8

Calls

6 calls:

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

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1628×	`add-sqr-sqrt`
1596×	`*-un-lft-identity`
1510×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
156×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	188	26
2	2091	26

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1026×	`unswap-sqr`
960×	`times-frac`
870×	`associate-/l*`
806×	`associate-/r*`
684×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1387
1	424	1337
2	1499	1331

Stop Event

1×	node limit

Counts

85 → 106

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)))))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.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) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(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)))
(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))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (/.f64 (expm1.f64 x) x) 1/3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.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))
(+.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)))
1
(+.f64 1 (*.f64 1/6 x))
(+.f64 1 (*.f64 x 1/6))
(fma.f64 x 1/6 1)
(+.f64 1 (+.f64 (.f64 1/6 x) (.f64 1/36 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/6 x (.f64 (.f64 x x) 1/36)))
(+.f64 (fma.f64 x 1/6 1) (.f64 (.f64 x x) 1/36))
(fma.f64 x 1/6 (fma.f64 x (*.f64 x 1/36) 1))
(+.f64 1 (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/324 (pow.f64 x 3)) (*.f64 1/36 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/6 x (fma.f64 1/324 (pow.f64 x 3) (.f64 (.f64 x x) 1/36))))
(+.f64 (fma.f64 x 1/6 1) (fma.f64 (pow.f64 x 3) 1/324 (.f64 (.f64 x x) 1/36)))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/324 (.f64 x (+.f64 1/6 (.f64 x 1/36)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (/.f64 -1 x))
(*.f64 (expm1.f64 x) (/.f64 1 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 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.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 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.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 (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 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(/.f64 (expm1.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) 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 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.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)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.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) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 3))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 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 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (expm1.f64 x))) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2)) (cbrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.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)
(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)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 1 (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(*.f64 (cbrt.f64 (expm1.f64 x)) (pow.f64 (/.f64 1 x) 1/3))
(*.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 1 (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) (neg.f64 (cbrt.f64 x)))
(/.f64 1 (/.f64 (cbrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (/.f64 (expm1.f64 x) x) 1/3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 2)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3)
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 1))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/3))
(cbrt.f64 (/.f64 (expm1.f64 x) x))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (/.f64 (expm1.f64 x) x))

eval279.0ms (6.1%)

Compiler: Compiled 10999 to 4995 computations (54.6% saved)

prune136.0ms (3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	715	3	718
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	716	8	724

Error

Counts

724 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
▶	0.3b	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	35.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
▶	61.4b	(-.f64 (/.f64 1 x) (/.f64 1 x))
▶	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
✓	25.8b	(+.f64 (*.f64 1/2 x) 1)
	25.2b	1

Compiler

Compiled 64 to 46 computations (28.1% saved)

localize46.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.4b	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))

Compiler

Compiled 39 to 29 computations (25.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
0.0ms	x	@	0	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))

rewrite83.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`distribute-lft-in`
1120×	`distribute-rgt-in`
1118×	`*-commutative`
592×	`associate-/r*`
452×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	235	33
2	3383	33

Stop Event

1×	node limit

Counts

1 → 138

Calls

Call 1

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

Outputs

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(/.f64 1 x) (+.f64 (fma.f64 1/2 x (/.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (+.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (+.f64 (+.f64 1 (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (+.f64 (+.f64 1 (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (+.f64 (+.f64 1 (/.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (*.f64 1 (+.f64 1 (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1/2 x (/.f64 1 x)) (*.f64 (+.f64 1 (/.f64 -1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (fma.f64 1/2 x (/.f64 1 x))) (/.f64 -1 x))))) 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simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1280×	`+-commutative`
950×	`associate--r+`
840×	`associate-+r-`
840×	`associate-+l+`
788×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	7732
1	1155	6736
2	6096	6718

Stop Event

1×	node limit

Counts

150 → 211

Calls

Call 1

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

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize27.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x (exp.f64 x)))
✓	0.0b	(*.f64 x (exp.f64 x))
✓	0.3b	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))

Compiler

Compiled 32 to 7 computations (78.1% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`associate-*r/`
1042×	`*-commutative`
920×	`associate-/r*`
804×	`associate-*l/`
746×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	99
1	215	87
2	3101	3

Stop Event

1×	node limit

Counts

3 → 3

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))
(*.f64 x (exp.f64 x))
(+.f64 x (*.f64 x (exp.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . x)))))

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1418×	`associate-/r/`
1290×	`distribute-lft-in`
1092×	`associate-r`
690×	`associate--r+`
590×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	741
1	166	723
2	443	657
3	1400	655
4	5210	655

Stop Event

1×	node limit

Counts

39 → 52

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 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) x)))
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 (exp.f64 x) x)
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (pow.f64 x 3)) (pow.f64 x 2)))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2))))
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
0
0
0

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 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(/.f64 (-.f64 (exp.f64 (.f64 2 x)) 1) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
(.f64 -1 (/.f64 (-.f64 (exp.f64 (neg.f64 (.f64 -2 x))) 1) (.f64 (-.f64 (.f64 -1 (exp.f64 x)) 1) x)))
(/.f64 (expm1.f64 (.f64 x 2)) (.f64 x (+.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (.f64 x 2)) (+.f64 x (.f64 x (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 x 2)) (fma.f64 x (exp.f64 x) x))
(/.f64 (expm1.f64 (+.f64 x x)) (fma.f64 x (exp.f64 x) x))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (pow.f64 x 2) x))
(+.f64 (fma.f64 1/2 (pow.f64 x 3) (*.f64 x x)) x)
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 x x x))
(+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 4)) (+.f64 (pow.f64 x 2) x)))
(fma.f64 1/2 (pow.f64 x 3) (+.f64 (fma.f64 1/6 (pow.f64 x 4) (*.f64 x x)) x))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 4) (fma.f64 x x x)))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 x x (fma.f64 1/6 (pow.f64 x 4) x)))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 (exp.f64 x) x)
(*.f64 x (exp.f64 x))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (pow.f64 x 3)) (pow.f64 x 2)))
(fma.f64 2 x (fma.f64 1/2 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 x 2 (fma.f64 1/2 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 3) (*.f64 x (+.f64 x 2)))
(fma.f64 x (+.f64 x 2) (*.f64 1/2 (pow.f64 x 3)))
(.f64 x (+.f64 2 (.f64 x (fma.f64 1/2 x 1))))
(+.f64 (.f64 2 x) (+.f64 (.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/6 (pow.f64 x 4)) (pow.f64 x 2))))
(fma.f64 2 x (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x 2 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(fma.f64 1/2 (pow.f64 x 3) (fma.f64 x 2 (fma.f64 x x (*.f64 1/6 (pow.f64 x 4)))))
(fma.f64 x 2 (fma.f64 x x (.f64 (pow.f64 x 3) (+.f64 1/2 (.f64 x 1/6)))))
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(*.f64 (+.f64 1 (exp.f64 x)) x)
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
(.f64 -1 (.f64 (-.f64 (*.f64 -1 (exp.f64 x)) 1) x))
(*.f64 x (+.f64 1 (exp.f64 x)))
(+.f64 x (*.f64 x (exp.f64 x)))
(fma.f64 x (exp.f64 x) x)
0
0
0

eval196.0ms (4.3%)

Compiler: Compiled 7886 to 5932 computations (24.8% saved)

prune69.0ms (1.5%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	261	2	263
Fresh	0	1	1
Picked	0	1	1
Done	1	5	6
Total	262	9	271

Error

Counts

271 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
✓	0.3b	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	35.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
✓	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
✓	25.8b	(+.f64 (*.f64 1/2 x) 1)
▶	62.1b	(*.f64 1/2 x)
	25.2b	1
	61.4b	0

Compiler

Compiled 62 to 45 computations (27.4% saved)

localize32.0ms (0.7%)

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	6	6
Total	9	9

Error

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
✓	0.3b	(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))
✓	0.0b	(/.f64 (expm1.f64 x) x)
✓	35.7b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
✓	61.2b	(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
✓	25.8b	(+.f64 (*.f64 1/2 x) 1)
✓	62.1b	(*.f64 1/2 x)
	25.2b	1
	61.4b	0

Compiler

Compiled 62 to 45 computations (27.4% saved)

regimes14.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
0
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (/.f64 1 x) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 x (*.f64 x (exp.f64 x))))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))

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

Calls

2 calls:

9.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 86 to 53 computations (38.4% saved)

regimes6.0ms (0.1%)

Accuracy

Total -37.4b remaining (-148.3%)

Threshold costs -37.4b (-148.3%)

Counts

6 → 1

Calls

Call 1

Inputs
0
1
(*.f64 1/2 x)
(+.f64 (*.f64 1/2 x) 1)
(-.f64 (/.f64 1 x) (/.f64 1 x))
(-.f64 (+.f64 1 (+.f64 (*.f64 1/2 x) (/.f64 1 x))) (/.f64 1 x))

Outputs
1

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
25.2b	1	`x`

Compiler

Compiled 33 to 25 computations (24.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	9	13

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
1
0

Outputs
(/.f64 (expm1.f64 x) x)
1
0

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness76.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

186×	`fma-def`
78×	`associate-r`
78×	`associate--r+`
70×	`*-commutative`
66×	`associate-+l-`

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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Stop Event

1×

saturated

Compiler

Compiled 11 to 7 computations (36.4% saved)

end20.0ms (0.4%)

Compiler: Compiled 7 to 5 computations (28.6% 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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11

Details

analyze4.0ms (0.1%)

sample2.4s (52.7%)

preprocess25.0ms (0.6%)

simplify26.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite139.0ms (3%)

simplify56.0ms (1.2%)

eval8.0ms (0.2%)

prune51.0ms (1.1%)

localize5.0ms (0.1%)

localize10.0ms (0.2%)

series2.0ms (0.1%)

rewrite88.0ms (1.9%)

simplify122.0ms (2.7%)

localize10.0ms (0.2%)

series15.0ms (0.3%)

rewrite85.0ms (1.9%)

simplify65.0ms (1.4%)

localize32.0ms (0.7%)

series4.0ms (0.1%)

rewrite61.0ms (1.3%)

simplify85.0ms (1.9%)

eval279.0ms (6.1%)

prune136.0ms (3%)

localize46.0ms (1%)

series1.0ms (0%)

rewrite83.0ms (1.8%)

simplify102.0ms (2.2%)

localize5.0ms (0.1%)

localize27.0ms (0.6%)

series4.0ms (0.1%)

rewrite64.0ms (1.4%)

simplify96.0ms (2.1%)

eval196.0ms (4.3%)

prune69.0ms (1.5%)

localize32.0ms (0.7%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes14.0ms (0.3%)

regimes6.0ms (0.1%)

simplify4.0ms (0.1%)

soundness76.0ms (1.7%)

end20.0ms (0.4%)

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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	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	118	11
8	179	11
9	263	11
10	400	11
11	589	11
12	667	11
13	709	11