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)

sample925.0ms (16.4%)

Results

462.0ms	4154×	body	256	valid
452.0ms	4102×	body	256	infinite

Bogosity

preprocess116.0ms (2.1%)

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	63
1	38	51
2	79	51
3	157	39
4	291	39
5	624	39
6	2046	39
7	5731	39

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 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 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 8 to 6 computations (25% saved)

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

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 (0.4%)

Localize:

Found 1 expressions with local error:

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))

rewrite59.0ms (1.1%)

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 (1%)

Algorithm

1×	egg-herbie

Rules

1408×	`fma-def`
1110×	`times-frac`
624×	`associate-r`
590×	`*-commutative`
546×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	598
1	164	578
2	482	556
3	2520	552
4	6296	552

Stop Event

1×	node limit

Counts

34 → 39

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -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))
(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 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (.f64 (exp.f64 -1) (*.f64 x x))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (.f64 (exp.f64 -1) (.f64 x x)))))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 4)))) (.f64 (exp.f64 -1) (fma.f64 x x 1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 1/6 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 4))) (fma.f64 x x 1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/6 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 4)))))
(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))

eval10.0ms (0.2%)

Compiler: Compiled 426 to 324 computations (23.9% saved)

prune12.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	6	40

Accuracy

100.0%

Counts

40 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	100.0%	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	50.4%	(exp.f64 -1)
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	100.0%	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	50.4%	(exp.f64 -1)

Compiler

Compiled 158 to 122 computations (22.8% saved)

localize1.7s (30.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (fma.f64 x x -1))
✓	99.3%	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
✓	99.2%	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓	100.0%	(exp.f64 (+.f64 x 1))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(expm1.f64 (fma.f64 x x -1))
✓	100.0%	(pow.f64 (exp.f64 x) x)
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 86 to 55 computations (36% saved)

series80.0ms (1.4%)

Counts

9 → 100

Calls

27 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
32.0ms	x	@	inf	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
5.0ms	x	@	0	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
1.0ms	x	@	0	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
1.0ms	x	@	0	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

rewrite356.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`prod-diff`
928×	`fma-def`
594×	`expm1-udef`
594×	`log1p-udef`
406×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	157
1	413	117
2	5159	117

Stop Event

1×	node limit

Counts

9 → 410

Calls

Call 1

Inputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(pow.f64 (exp.f64 x) x)
(expm1.f64 (fma.f64 x x -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (+.f64 x 1))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(exp.f64 (fma.f64 x x -1))

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

simplify382.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

774×	`associate-+l+`
756×	`associate-+r+`
736×	`fma-neg`
540×	`sqr-pow`
474×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	12618
1	949	12196
2	3341	12006

Stop Event

1×	node limit

Counts

510 → 289

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
(*.f64 (exp.f64 -1) (exp.f64 (pow.f64 x 2)))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 4)) (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 4)) (pow.f64 x 2))))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(exp.f64 (pow.f64 x 2))
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1))) 1)
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))) 1)
(-.f64 (+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(-.f64 (exp.f64 (fma.f64 x x -1)) 1)
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -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 (+.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)))))
(exp.f64 1)
(+.f64 (exp.f64 1) (*.f64 x (exp.f64 1)))
(+.f64 (exp.f64 1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (exp.f64 1))) (*.f64 x (exp.f64 1))))
(+.f64 (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 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 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (exp.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 -1)) (+.f64 1 (exp.f64 -1))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))))) (/.f64 (*.f64 (pow.f64 x 2) (exp.f64 -1)) (+.f64 1 (exp.f64 -1)))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (.f64 1/720 (.f64 (pow.f64 x 6) (+.f64 (.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (+.f64 (.f64 120 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1)))) (.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 1 (exp.f64 -1)) 3))))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))))) (/.f64 (.f64 (pow.f64 x 2) (exp.f64 -1)) (+.f64 1 (exp.f64 -1))))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(+.f64 (expm1.f64 (fma.f64 x x -1)) 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)) 0)
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(-.f64 (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 1 (/.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 3) 1) (fma.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (exp.f64 (fma.f64 x x -1)))) 1) (+.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 (+.f64 x -1) 1/2 (*.f64 (+.f64 x -1) 1/2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (.f64 2 (.f64 (+.f64 x -1) 1/2)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (fma.f64 x x -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 (pow.f64 (exp.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x -1) 1/2))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.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 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 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))))
(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 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 (.f64 x x)) 3)))
(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))))
(fma.f64 (expm1.f64 (fma.f64 x x -1)) 1 1)
(fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)
(fma.f64 1 (+.f64 1 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) 1)
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(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (fma.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 3) 1) (fma.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1))))
(/.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) (+.f64 1 (exp.f64 (fma.f64 x x -1)))) 1) (+.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 (+.f64 x -1) 1/2 (*.f64 (+.f64 x -1) 1/2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (.f64 2 (.f64 (+.f64 x -1) 1/2)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (E.f64) (fma.f64 x x -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 (pow.f64 (exp.f64 (+.f64 x 1)) 2) (*.f64 (+.f64 x -1) 1/2))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.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 (pow.f64 (exp.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 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))))
(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 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 (.f64 x x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))
(fma.f64 (expm1.f64 (fma.f64 x x -1)) 1 1)
(fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)
(fma.f64 1 (+.f64 1 (exp.f64 (fma.f64 x x -1))) -1)
(fma.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1)))) -1)
(fma.f64 (+.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1) (-.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 1) 1)

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

eval220.0ms (3.9%)

Compiler: Compiled 4488 to 3439 computations (23.4% saved)

prune67.0ms (1.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	288	1	289
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	289	6	295

Accuracy

100.0%

Counts

295 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	50.4%	(exp.f64 -1)
▶	99.2%	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	50.4%	(exp.f64 -1)

Compiler

Compiled 94 to 72 computations (23.4% saved)

localize122.0ms (2.2%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (exp.f64 (+.f64 x 1)))
	100.0%	(exp.f64 (+.f64 x 1))
✓	99.2%	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))

Compiler

Compiled 36 to 23 computations (36.1% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
1.0ms	x	@	0	(sqrt.f64 (exp.f64 (+.f64 x 1)))
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
0.0ms	x	@	inf	(sqrt.f64 (exp.f64 (+.f64 x 1)))

rewrite154.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
1166×	`fma-def`
1088×	`log-prod`
582×	`fma-neg`
424×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	267	44
2	3646	44

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
(sqrt.f64 (exp.f64 (+.f64 x 1)))

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

simplify159.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1070×	`fma-def`
748×	`distribute-lft-in`
718×	`distribute-rgt-in`
584×	`exp-sum`
524×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2945
1	530	2629
2	1608	2151
3	6296	2083

Stop Event

1×	node limit

Counts

79 → 122

Calls

Call 1

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

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

eval70.0ms (1.2%)

Compiler: Compiled 3114 to 2287 computations (26.6% saved)

prune22.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	161	6	167

Accuracy

100.0%

Counts

167 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.2%	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
✓	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	50.4%	(exp.f64 -1)
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.2%	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
✓	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	50.4%	(exp.f64 -1)

Compiler

Compiled 96 to 74 computations (22.9% saved)

localize81.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(exp.f64 (*.f64 (+.f64 x 1) 1/2))
✓	99.2%	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
1.0ms	x	@	inf	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
1.0ms	x	@	-inf	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
1.0ms	x	@	0	(exp.f64 (*.f64 (+.f64 x 1) 1/2))
0.0ms	x	@	-inf	(exp.f64 (*.f64 (+.f64 x 1) 1/2))

rewrite198.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1728×	`prod-diff`
1186×	`fma-def`
1152×	`log-prod`
588×	`fma-neg`
460×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	287	44
2	3849	40

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

simplify183.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def`
846×	`associate-+r+`
816×	`associate-+l+`
784×	`times-frac`
522×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	2171
1	366	1849
2	1102	1717
3	4002	1621

Stop Event

1×	node limit

Counts

71 → 98

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(exp.f64 1/2)
(+.f64 (exp.f64 1/2) (.f64 1/2 (.f64 x (exp.f64 1/2))))
(+.f64 (exp.f64 1/2) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (exp.f64 1/2))) (.f64 1/2 (.f64 x (exp.f64 1/2)))))
(+.f64 (exp.f64 1/2) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 3) (exp.f64 1/2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (exp.f64 1/2))) (.f64 1/2 (.f64 x (exp.f64 1/2))))))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(+.f64 0 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))) 1)
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)) 1)
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) -1) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))) (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) x) (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (+.f64 x -2)))
(*.f64 (pow.f64 1 (fma.f64 x 2 -2)) (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (fma.f64 x 2 -2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(exp.f64 (*.f64 (fma.f64 x 1/2 1/2) (fma.f64 x 2 -2)))
(exp.f64 (.f64 (.f64 (fma.f64 x 1/2 1/2) (fma.f64 x 2 -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(+.f64 0 (exp.f64 (fma.f64 x 1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2)))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x 1/2 1/2)))) 1)
(*.f64 1 (exp.f64 (fma.f64 x 1/2 1/2)))
(*.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 1)
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (cbrt.f64 (exp.f64 (+.f64 x 1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (pow.f64 (exp.f64 (+.f64 x 1)) 1/4))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 1)
(pow.f64 (E.f64) (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 (+.f64 x 1)) 1/2)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1/2) 2))) (cbrt.f64 (fma.f64 x 1/2 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) (sqrt.f64 (fma.f64 x 1/2 1/2)))
(sqrt.f64 (exp.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x 1/2 1/2)))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x 1/2 1/2))))

Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (pow.f64 x 2) (exp.f64 -1)))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (.f64 (exp.f64 -1) (*.f64 x x))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (.f64 x x) (fma.f64 1/2 (pow.f64 x 4) 1)))
(+.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1))) (*.f64 (pow.f64 x 2) (exp.f64 -1)))))
(+.f64 (exp.f64 -1) (fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (.f64 (exp.f64 -1) (.f64 x x)))))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (.f64 1/2 (pow.f64 x 4)))) (.f64 (exp.f64 -1) (fma.f64 x x 1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 1/6 (pow.f64 x 6) (.f64 1/2 (pow.f64 x 4))) (fma.f64 x x 1)))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (.f64 1/2 (.f64 (+.f64 1 x) (-.f64 (*.f64 2 x) 2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (.f64 (+.f64 2 (.f64 x -2)) (-.f64 1 (neg.f64 x))))
(pow.f64 (exp.f64 -1/2) (*.f64 (+.f64 x 1) (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 -1/2 (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x -2) -1))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (.f64 (+.f64 2 (.f64 x -2)) (-.f64 1 (neg.f64 x))))
(pow.f64 (exp.f64 -1/2) (*.f64 (+.f64 x 1) (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 -1/2 (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x -2) -1))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (.f64 (+.f64 2 (.f64 x -2)) (-.f64 1 (neg.f64 x))))
(pow.f64 (exp.f64 -1/2) (*.f64 (+.f64 x 1) (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 -1/2 (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x -2) -1))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 2 (.f64 -2 x)) (-.f64 1 (.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (.f64 (+.f64 2 (.f64 x -2)) (-.f64 1 (neg.f64 x))))
(pow.f64 (exp.f64 -1/2) (*.f64 (+.f64 x 1) (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (*.f64 -1/2 (fma.f64 x -2 2)))
(pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 -1/2 (*.f64 x -2) -1))
(exp.f64 1/2)
(+.f64 (exp.f64 1/2) (.f64 1/2 (.f64 x (exp.f64 1/2))))
(+.f64 (exp.f64 1/2) (.f64 (.f64 1/2 x) (exp.f64 1/2)))
(.f64 (+.f64 (.f64 x 1/2) 1) (exp.f64 1/2))
(*.f64 (exp.f64 1/2) (fma.f64 x 1/2 1))
(+.f64 (exp.f64 1/2) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (exp.f64 1/2))) (.f64 1/2 (.f64 x (exp.f64 1/2)))))
(+.f64 (exp.f64 1/2) (fma.f64 1/8 (.f64 (.f64 x x) (exp.f64 1/2)) (.f64 (.f64 1/2 x) (exp.f64 1/2))))
(+.f64 (exp.f64 1/2) (.f64 (exp.f64 1/2) (+.f64 (.f64 x 1/2) (.f64 (.f64 1/8 x) x))))
(fma.f64 (exp.f64 1/2) (.f64 x (+.f64 (.f64 x 1/8) 1/2)) (exp.f64 1/2))
(.f64 (exp.f64 1/2) (+.f64 1 (.f64 x (+.f64 1/2 (*.f64 x 1/8)))))
(+.f64 (exp.f64 1/2) (+.f64 (.f64 1/48 (.f64 (pow.f64 x 3) (exp.f64 1/2))) (+.f64 (.f64 1/8 (.f64 (pow.f64 x 2) (exp.f64 1/2))) (.f64 1/2 (.f64 x (exp.f64 1/2))))))
(+.f64 (exp.f64 1/2) (fma.f64 1/48 (.f64 (exp.f64 1/2) (pow.f64 x 3)) (fma.f64 1/8 (.f64 (.f64 x x) (exp.f64 1/2)) (.f64 (*.f64 1/2 x) (exp.f64 1/2)))))
(+.f64 (.f64 (exp.f64 1/2) (+.f64 (.f64 1/48 (pow.f64 x 3)) (.f64 (.f64 1/8 x) x))) (.f64 (+.f64 (.f64 x 1/2) 1) (exp.f64 1/2)))
(fma.f64 (exp.f64 1/2) (.f64 (.f64 x x) (+.f64 (.f64 x 1/48) 1/8)) (.f64 (exp.f64 1/2) (fma.f64 x 1/2 1)))
(.f64 (exp.f64 1/2) (+.f64 (fma.f64 x 1/2 1) (.f64 (.f64 x x) (+.f64 1/8 (.f64 x 1/48)))))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (*.f64 1/2 (+.f64 1 x)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (.f64 1/2 (-.f64 1 (.f64 -1 x))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(+.f64 0 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))) (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 1 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 1 (exp.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (neg.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) -1) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 1 (exp.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (neg.f64 (+.f64 x 1))))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))) (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) x) (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (+.f64 x -2)))
(*.f64 (pow.f64 1 (fma.f64 x 2 -2)) (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (fma.f64 x 2 -2)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (*.f64 2 (fma.f64 x 2 -2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (+.f64 x -1)) 4)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2)) 3))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (*.f64 (fma.f64 x 1/2 1/2) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (.f64 (.f64 (fma.f64 x 1/2 1/2) (fma.f64 x 2 -2)) 1))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))))
(pow.f64 (exp.f64 1/2) (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 x 2 -2))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(+.f64 0 (exp.f64 (fma.f64 x 1/2 1/2)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2)))) (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x 1/2 1/2)))) 1)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(*.f64 1 (exp.f64 (fma.f64 x 1/2 1/2)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(*.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 1)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (cbrt.f64 (exp.f64 (+.f64 x 1))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (pow.f64 (exp.f64 (+.f64 x 1)) 1/4))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 1)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (E.f64) (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 (+.f64 x 1)) 1/2)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) 3)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 3) 1/3)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) 2)
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/2 1/2) 2))) (cbrt.f64 (fma.f64 x 1/2 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x 1/2 1/2))) (sqrt.f64 (fma.f64 x 1/2 1/2)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (+.f64 x 1)))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 x 1/2 1/2)))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) 3))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x 1/2 1/2))))
(pow.f64 (exp.f64 1/2) (+.f64 x 1))
(exp.f64 (fma.f64 x 1/2 1/2))

eval69.0ms (1.2%)

Compiler: Compiled 1576 to 1220 computations (22.6% saved)

prune17.0ms (0.3%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	98	6	104

Accuracy

100.0%

Counts

104 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	99.2%	(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
✓	99.9%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	50.4%	(exp.f64 -1)

Compiler

Compiled 116 to 85 computations (26.7% saved)

regimes21.0ms (0.4%)

Counts

9 → 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 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (*.f64 (+.f64 x 1) 1/2)) (+.f64 (+.f64 x x) -2))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 (+.f64 x x) -2))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

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

Calls

5 calls:

6.0ms	x
4.0ms	(*.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 95 to 66 computations (30.5% saved)

regimes18.0ms (0.3%)

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

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

Calls

5 calls:

4.0ms	x
4.0ms	(*.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 70 to 49 computations (30% saved)

regimes15.0ms (0.3%)

Counts

4 → 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 1 (expm1.f64 (fma.f64 x x -1)))

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

Calls

5 calls:

4.0ms	x
3.0ms	(*.f64 x 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 50 to 34 computations (32% 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:

3.0ms

Results

Accuracy	Segments	Branch
50.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	23	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness380.0ms (6.7%)

Rules

1996×	`fma-def`
1590×	`pow1`
1590×	`pow1`
1492×	`div-sub`
1468×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
1	38	51
2	79	51
3	157	39
4	291	39
5	624	39
6	2046	39
7	5731	39
0	8	13
1	169	13
2	2030	13
0	8	13
1	169	13
2	2030	13

Stop Event

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

Compiler

Compiled 119 to 76 computations (36.1% saved)

end0.0ms (0%)

preprocess55.0ms (1%)

Compiler: Compiled 80 to 60 computations (25% saved)

analyze0.0ms (0%)

sample925.0ms (16.4%)

preprocess116.0ms (2.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize25.0ms (0.4%)

series1.0ms (0%)

rewrite59.0ms (1.1%)

simplify58.0ms (1%)

eval10.0ms (0.2%)

prune12.0ms (0.2%)

localize1.7s (30.8%)

series80.0ms (1.4%)

rewrite356.0ms (6.3%)

simplify382.0ms (6.8%)

eval220.0ms (3.9%)

prune67.0ms (1.2%)

localize122.0ms (2.2%)

series6.0ms (0.1%)

rewrite154.0ms (2.7%)

simplify159.0ms (2.8%)

eval70.0ms (1.2%)

prune22.0ms (0.4%)

localize81.0ms (1.4%)

series7.0ms (0.1%)

rewrite198.0ms (3.5%)

simplify183.0ms (3.2%)

eval69.0ms (1.2%)

prune17.0ms (0.3%)

regimes21.0ms (0.4%)

regimes18.0ms (0.3%)

regimes15.0ms (0.3%)

regimes3.0ms (0.1%)

simplify7.0ms (0.1%)

soundness380.0ms (6.7%)

end0.0ms (0%)

preprocess55.0ms (1%)

Profiling