Details

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)

sample999.0ms (31.6%)

Results

510.0ms	4158×	body	256	valid
478.0ms	4098×	body	256	infinite

Bogosity

preprocess61.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize24.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (2.1%)

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	22
1	169	22
2	2030	22

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

894×	`div-sub`
836×	`unswap-sqr`
790×	`log-prod`
778×	`fma-neg`
764×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1370
1	310	1278
2	1054	1174
3	4939	1138

Stop Event

1×	node limit

Counts

78 → 78

Calls

Call 1

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

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

eval20.0ms (0.6%)

Compiler: Compiled 842 to 629 computations (25.3% saved)

prune9.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	4	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	5	79

Accurracy

100.0%

Counts

79 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	100.0%	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	53.4%	(exp.f64 (*.f64 x x))
▶	57.3%	(exp.f64 -1)

Compiler

Compiled 32 to 24 computations (25% saved)

localize16.0ms (0.5%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize54.0ms (1.7%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize70.0ms (2.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite89.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod`
718×	`prod-exp`
662×	`pow-prod-down`
598×	`prod-diff`
516×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	211	22
2	2756	22

Stop Event

1×	node limit

Counts

2 → 207

Calls

Call 1

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

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

simplify101.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1132×	`unswap-sqr`
1108×	`sqr-pow`
758×	`div-sub`
458×	`distribute-lft-in`
418×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	495	5897
1	1322	5737
2	4416	5639

Stop Event

1×	node limit

Counts

231 → 309

Calls

Call 1

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

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 4) 1/2)))
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(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log1p.f64 x) (*.f64 (log.f64 (+.f64 x -1)) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log1p.f64 x) 1) (log.f64 (+.f64 x -1))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log1p.f64 x) 1) (.f64 (log.f64 (+.f64 x -1)) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (+.f64 x -1)) (*.f64 (log1p.f64 x) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 x -1)) 1) (log1p.f64 x)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 x -1)) 1) (.f64 (log1p.f64 x) 1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x -1) (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 1 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(fma.f64 1 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 1 (fma.f64 x x x) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 1 (fma.f64 x -1 -1) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (+.f64 x 1) x (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (+.f64 x 1) -1 (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 -1 (+.f64 x 1) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (+.f64 x -1) x (+.f64 x -1))
(fma.f64 x x -1)
(fma.f64 (+.f64 x -1) 1 (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(fma.f64 (+.f64 x -1) 1 (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 x 1)) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 (+.f64 x -1) x))
(fma.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (*.f64 x (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (-.f64 (*.f64 x x) x))
(fma.f64 (cbrt.f64 (+.f64 x -1)) (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (*.f64 x (+.f64 x -1)))
(fma.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (*.f64 x (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (-.f64 (*.f64 x x) x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (+.f64 x -1)) (*.f64 (+.f64 x -1) x))
(fma.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (*.f64 x (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (-.f64 (*.f64 x x) x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2)) (cbrt.f64 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(fma.f64 (cbrt.f64 (+.f64 -1 x)) (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (*.f64 x (+.f64 -1 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (fma.f64 x x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 x) 2)) (cbrt.f64 (+.f64 -1 x)) (-.f64 (*.f64 x x) x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) -1) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) x) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x 1)) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) -1) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) x) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x 1)) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (.f64 x -1))) (.f64 (+.f64 x -1) x))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (*.f64 x (+.f64 -1 x)))
(+.f64 (fma.f64 x x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(+.f64 (-.f64 (*.f64 x x) x) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (.f64 x -1))) (.f64 x (+.f64 x -1)))
(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (*.f64 x (+.f64 -1 x)))
(+.f64 (fma.f64 x x (neg.f64 x)) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(+.f64 (-.f64 (*.f64 x x) x) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(fma.f64 (fma.f64 x x x) 1 (*.f64 (fma.f64 x -1 -1) 1))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1 -1)) 2) (cbrt.f64 (fma.f64 x -1 -1)) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (cbrt.f64 (fma.f64 x x x)) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (sqrt.f64 (fma.f64 x -1 -1)) (sqrt.f64 (fma.f64 x -1 -1)) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)) (fma.f64 x -1 -1))
(fma.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)) (fma.f64 -1 x -1))
(fma.f64 (hypot.f64 x (sqrt.f64 x)) (hypot.f64 x (sqrt.f64 x)) (-.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (*.f64 -1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (fma.f64 x x x))
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (*.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 x -1 -1))
(fma.f64 x x -1)
(fma.f64 (*.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x -1 -1))
(fma.f64 x x -1)

localize33.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(expm1.f64 (fma.f64 x x -1))
✓	100.0%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Compiler

Compiled 21 to 14 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	-inf	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	inf	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	0	(expm1.f64 (fma.f64 x x -1))
0.0ms	x	@	inf	(expm1.f64 (fma.f64 x x -1))

rewrite62.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`pow1`
1620×	`add-exp-log`
1620×	`log1p-expm1-u`
1618×	`expm1-log1p-u`
1590×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	194	26
2	2226	26

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(expm1.f64 (fma.f64 x x -1))

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

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-def`
906×	`times-frac`
608×	`unswap-sqr`
494×	`associate-/l*`
430×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1917
1	297	1863
2	1143	1795
3	7799	1795

Stop Event

1×	node limit

Counts

77 → 91

Calls

Call 1

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

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

eval180.0ms (5.7%)

Compiler: Compiled 5944 to 4344 computations (26.9% saved)

prune47.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	399	6	405

Accurracy

100.0%

Counts

405 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	100.0%	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	100.0%	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	53.4%	(exp.f64 (*.f64 x x))
✓	57.3%	(exp.f64 -1)

Compiler

Compiled 43 to 32 computations (25.6% saved)

localize39.0ms (1.2%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite82.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`fma-def`
920×	`log-prod`
718×	`prod-exp`
648×	`pow-prod-down`
450×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	67
1	196	55
2	2671	35

Stop Event

1×	node limit

Counts

3 → 214

Calls

Call 1

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

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

simplify140.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

756×	`log-prod`
756×	`div-sub`
646×	`exp-prod`
530×	`fma-neg`
476×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	4964
1	1173	4598
2	4205	4532

Stop Event

1×	node limit

Counts

250 → 292

Calls

Call 1

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

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

eval201.0ms (6.4%)

Compiler: Compiled 4433 to 3192 computations (28% saved)

prune76.0ms (2.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	292	6	298

Accurracy

100.0%

Counts

298 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	100.0%	(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	100.0%	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	53.4%	(exp.f64 (*.f64 x x))
✓	57.3%	(exp.f64 -1)

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes20.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	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 72 to 48 computations (33.3% saved)

regimes25.0ms (0.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

14.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.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 55 to 36 computations (34.5% saved)

regimes13.0ms (0.4%)

Accuracy

Total -56.2b remaining (-12956.2%)

Threshold costs -56.2b (-12956.2%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	x
4.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	3	`x`
99.3%	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch44.0ms (1.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	0.0006687045178935052	50864.900126381086

Results

42.0ms

144×

body

256

valid

Compiler

Compiled 84 to 72 computations (14.3% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
1	24	82

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(if (<=.f64 (.f64 x x) 4278419646001971/4503599627370496) (exp.f64 -1) (exp.f64 (.f64 x x)))
(exp.f64 -1)

Outputs
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x)))
(exp.f64 (+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1))))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(if (<=.f64 (.f64 x x) 4278419646001971/4503599627370496) (exp.f64 -1) (exp.f64 (.f64 x x)))
(exp.f64 -1)

Compiler

Compiled 34 to 24 computations (29.4% saved)

soundness411.0ms (13%)

Rules

1788×	`fma-def`
1590×	`pow1`
1468×	`add-exp-log`
1468×	`log1p-expm1-u`
1468×	`expm1-log1p-u`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	50	17
3	114	13
4	240	13
5	536	13
6	1626	13
7	5506	13
0	8	22
1	169	22
2	2030	22
0	10	42
1	211	22
2	2756	22
0	133	1370
1	310	1278
2	1054	1174
3	4939	1138

Stop Event

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

Compiler

Compiled 136 to 96 computations (29.4% saved)

end87.0ms (2.8%)

Compiler: Compiled 78 to 52 computations (33.3% saved)

Details

analyze0.0ms (0%)

sample999.0ms (31.6%)

preprocess61.0ms (1.9%)

simplify55.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.8%)

series1.0ms (0%)

rewrite65.0ms (2.1%)

simplify61.0ms (1.9%)

eval20.0ms (0.6%)

prune9.0ms (0.3%)

localize16.0ms (0.5%)

localize54.0ms (1.7%)

localize70.0ms (2.2%)

series2.0ms (0%)

rewrite89.0ms (2.8%)

simplify101.0ms (3.2%)

localize33.0ms (1%)

series1.0ms (0%)

rewrite62.0ms (2%)

simplify69.0ms (2.2%)

eval180.0ms (5.7%)

prune47.0ms (1.5%)

localize39.0ms (1.2%)

series1.0ms (0%)

rewrite82.0ms (2.6%)

simplify140.0ms (4.4%)

eval201.0ms (6.4%)

prune76.0ms (2.4%)

regimes20.0ms (0.6%)

regimes25.0ms (0.8%)

regimes13.0ms (0.4%)

bsearch44.0ms (1.4%)

simplify5.0ms (0.2%)

soundness411.0ms (13%)

end87.0ms (2.8%)

Profiling