Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample885.0ms (48.9%)

Results

870.0ms	8256×	body	256	valid
2.0ms	22×	body	256	infinite

Bogosity

preprocess58.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	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)

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	13
2	2041	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify60.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+r+`
1016×	`associate-r`
910×	`fma-def`
840×	`*-commutative`
838×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	157	590
2	559	566
3	2906	552
4	7133	552

Stop Event

1×	node limit

Counts

34 → 40

Calls

Call 1

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

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

eval10.0ms (0.5%)

Compiler: Compiled 442 to 336 computations (24% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Accurracy

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.1%	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	98.5%	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize21.0ms (1.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize9.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1598×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	198	28
2	2290	28

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1466×	`associate-+r+`
1394×	`associate-+l+`
1330×	`associate-/l*`
992×	`associate-/r*`
580×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1535
1	279	1505
2	888	1393
3	3526	1393

Stop Event

1×	node limit

Counts

77 → 74

Calls

Call 1

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

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

localize10.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`associate-*r/`
876×	`*-commutative`
830×	`associate-*l/`
578×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	213	24
2	2662	24

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*`
848×	`*-commutative`
762×	`distribute-lft-in`
754×	`associate-/r*`
648×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1657
1	344	1407
2	1269	1343
3	3527	1335

Stop Event

1×	node limit

Counts

71 → 95

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

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

eval92.0ms (5.1%)

Compiler: Compiled 2128 to 1596 computations (25% saved)

prune119.0ms (6.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	169	4	173

Accurracy

100.0%

Counts

173 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	99.1%	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	98.5%	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes18.0ms (1%)

Accuracy

Total -0.9b remaining (-12014.9%)

Threshold costs -0.9b (-12014.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(-.f64 1 (*.f64 x x))
4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(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 59 to 40 computations (32.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	10	22

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness132.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end14.0ms (0.8%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

Details

analyze3.0ms (0.2%)

sample885.0ms (48.9%)

preprocess58.0ms (3.2%)

simplify56.0ms (3.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.4%)

series1.0ms (0%)

rewrite59.0ms (3.2%)

simplify60.0ms (3.3%)

eval10.0ms (0.5%)

prune6.0ms (0.3%)

localize21.0ms (1.1%)

localize9.0ms (0.5%)

series1.0ms (0.1%)

rewrite62.0ms (3.4%)

simplify57.0ms (3.1%)

localize10.0ms (0.6%)

series2.0ms (0.1%)

rewrite68.0ms (3.7%)

simplify58.0ms (3.2%)

eval92.0ms (5.1%)

prune119.0ms (6.6%)

regimes18.0ms (1%)

simplify4.0ms (0.2%)

soundness132.0ms (7.3%)

end14.0ms (0.8%)

Profiling