Metrics for exp neg sub

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample837.0ms (38.9%)

Results

460.0ms	4099×	body	256	valid
367.0ms	4157×	body	256	infinite

Bogosity

preprocess60.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1996×	`fma-def`
1492×	`div-sub`
1302×	`times-frac`
666×	`associate-*r/`
518×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	38	34
2	79	34
3	157	26
4	291	26
5	624	26
6	2046	26
7	5731	26

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify47.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1788×	`fma-def`
1314×	`div-sub`
834×	`times-frac`
716×	`associate-l`
696×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	50	17
3	114	13
4	240	13
5	536	13
6	1626	13
7	5506	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize25.0ms (1.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`pow1`
1468×	`add-exp-log`
1468×	`log1p-expm1-u`
1468×	`expm1-log1p-u`
1440×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	13
2	2030	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

simplify58.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-def`
1106×	`times-frac`
620×	`associate-r`
556×	`associate-l`
548×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	158	590
2	460	566
3	2454	552
4	6111	552

Stop Event

1×	node limit

Counts

34 → 39

Calls

Call 1

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

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

eval29.0ms (1.3%)

Compiler: Compiled 432 to 329 computations (23.8% saved)

prune8.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Accurracy

100.0%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	76.8%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	51.4%	(exp.f64 -1)
▶	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	76.8%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	51.4%	(exp.f64 -1)

Compiler

Compiled 70 to 54 computations (22.9% saved)

localize99.0ms (4.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(exp.f64 (+.f64 x 1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	99.9%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))

Compiler

Compiled 59 to 39 computations (33.9% saved)

series16.0ms (0.7%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
6.0ms	x	@	0	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
1.0ms	x	@	inf	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
1.0ms	x	@	inf	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
1.0ms	x	@	0	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

rewrite145.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`log-prod`
714×	`pow-exp`
550×	`expm1-udef`
550×	`log1p-udef`
496×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	349	56
2	4325	56

Stop Event

1×	node limit

Counts

4 → 127

Calls

Call 1

Inputs
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(exp.f64 (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

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

simplify69.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1436×	`fma-def`
1098×	`unswap-sqr`
1092×	`distribute-lft-in`
1038×	`distribute-rgt-in`
594×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	3439
1	691	3299
2	2048	3129

Stop Event

1×	node limit

Counts

175 → 156

Calls

Call 1

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

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

eval75.0ms (3.5%)

Compiler: Compiled 1900 to 1368 computations (28% saved)

prune21.0ms (1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	155	6	161

Accurracy

100.0%

Counts

161 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	100.0%	(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))
✓	76.8%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	51.4%	(exp.f64 -1)
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	100.0%	(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))
✓	76.8%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	51.4%	(exp.f64 -1)

Compiler

Compiled 92 to 72 computations (21.7% saved)

localize58.0ms (2.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x))
0.0ms	x	@	inf	(*.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x))
0.0ms	x	@	-inf	(*.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x))

rewrite55.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`pow1`
1426×	`add-exp-log`
1426×	`log1p-expm1-u`
1426×	`expm1-log1p-u`
1392×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	176	17
2	1989	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x))

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

simplify61.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1008×	`fma-def`
676×	`*-commutative`
572×	`associate-+r+`
548×	`associate-r`
496×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	481
1	113	401
2	365	369
3	1763	355
4	3659	355
5	5523	355

Stop Event

1×	node limit

Counts

23 → 29

Calls

Call 1

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

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

eval22.0ms (1%)

Compiler: Compiled 440 to 355 computations (19.3% saved)

prune7.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	29	6	35

Accurracy

100.0%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))
✓	76.8%	(*.f64 (exp.f64 -1) (fma.f64 x x 1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	51.4%	(exp.f64 -1)

Compiler

Compiled 94 to 69 computations (26.6% saved)

regimes19.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))

Outputs
(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))

Calls

5 calls:

5.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 1 (*.f64 x x))
3.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

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

Compiler

Compiled 75 to 51 computations (32% saved)

regimes18.0ms (0.8%)

Counts

6 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Outputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Calls

5 calls:

4.0ms	(-.f64 1 (*.f64 x x))
4.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

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

Compiler

Compiled 65 to 45 computations (30.8% saved)

regimes18.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))

Calls

5 calls:

5.0ms	(*.f64 x x)
5.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

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

Compiler

Compiled 58 to 40 computations (31% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 -1)

Outputs
(exp.f64 -1)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
51.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	74
1	22	74

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(.f64 (exp.f64 -2/3) (.f64 (exp.f64 -1/3) (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 -1)

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness290.0ms (13.5%)

Rules

1788×	`fma-def`
1590×	`pow1`
1590×	`pow1`
1494×	`log-prod`
1468×	`add-exp-log`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	50	17
3	114	13
4	240	13
5	536	13
6	1626	13
7	5506	13
0	8	13
1	169	13
2	2030	13
0	17	72
1	349	56
2	4325	56
0	8	13
1	169	13
2	2030	13

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 235 to 156 computations (33.6% saved)

end0.0ms (0%)

preprocess47.0ms (2.2%)

Remove: (abs x)
Compiler: Compiled 90 to 66 computations (26.7% saved)

analyze0.0ms (0%)

sample837.0ms (38.9%)

preprocess60.0ms (2.8%)

simplify47.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (1.1%)

series1.0ms (0%)

rewrite60.0ms (2.8%)

simplify58.0ms (2.7%)

eval29.0ms (1.3%)

prune8.0ms (0.4%)

localize99.0ms (4.6%)

series16.0ms (0.7%)

rewrite145.0ms (6.7%)

simplify69.0ms (3.2%)

eval75.0ms (3.5%)

prune21.0ms (1%)

localize58.0ms (2.7%)

series1.0ms (0%)

rewrite55.0ms (2.5%)

simplify61.0ms (2.8%)

eval22.0ms (1%)

prune7.0ms (0.3%)

regimes19.0ms (0.9%)

regimes18.0ms (0.8%)

regimes18.0ms (0.8%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness290.0ms (13.5%)

end0.0ms (0%)

preprocess47.0ms (2.2%)

Profiling