Metrics for Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, B

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)

sample588.0ms (40%)

Results

434.0ms	6215×	body	256	valid
144.0ms	2041×	body	256	infinite

Bogosity

preprocess30.0ms (2%)

Algorithm

2×	egg-herbie

Rules

524×	`fma-def`
62×	`distribute-lft-in`
52×	`fma-neg`
46×	`unsub-neg`
46×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(.f64 x (+.f64 1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify28.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

524×	`fma-def`
62×	`distribute-lft-in`
52×	`fma-neg`
46×	`unsub-neg`
46×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(.f64 x (+.f64 1 (.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

eval1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
▶	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize27.0ms (1.9%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))

Compiler

Compiled 20 to 15 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	0	(.f64 x (-.f64 1 (.f64 x 1/2)))
0.0ms	x	@	-inf	(.f64 x (-.f64 1 (.f64 x 1/2)))

rewrite83.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`pow1`
1506×	`add-exp-log`
1506×	`log1p-expm1-u`
1506×	`expm1-log1p-u`
1476×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	2039	19

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x -1/2)))
(+.f64 x (.f64 (.f64 x -1/2) x))
(-.f64 (+.f64 1 (+.f64 x (.f64 x (.f64 x -1/2)))) 1)
(/.f64 (.f64 x (-.f64 1 (.f64 1/8 (pow.f64 x 3)))) (+.f64 1 (.f64 (.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (.f64 x (-.f64 1 (.f64 1/4 (.f64 x x)))) (+.f64 1 (.f64 x 1/2)))
(/.f64 (.f64 (-.f64 1 (.f64 1/8 (pow.f64 x 3))) x) (+.f64 1 (.f64 (.f64 x 1/2) (+.f64 1 (*.f64 x 1/2)))))
(/.f64 (.f64 (-.f64 1 (.f64 1/4 (.f64 x x))) x) (+.f64 1 (.f64 x 1/2)))
(pow.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (.f64 x (.f64 x -1/2)))) 3)
(pow.f64 (pow.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (.f64 x (.f64 x -1/2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 1 (*.f64 x -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x (.f64 x (.f64 x -1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (.f64 x -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 1 (.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (.f64 x (.f64 x -1/2)))))
(exp.f64 (+.f64 (log.f64 x) (log1p.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (+.f64 x (.f64 x (.f64 x -1/2)))))

simplify56.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1884×	`fma-def`
1768×	`times-frac`
660×	`associate-r`
624×	`associate-l`
428×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	605
1	168	577
2	507	553
3	2741	525
4	5501	525

Stop Event

1×	node limit

Counts

31 → 34

Calls

Call 1

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

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

eval8.0ms (0.6%)

Compiler: Compiled 377 to 274 computations (27.3% saved)

prune101.0ms (6.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Accurracy

100.0%

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
▶	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x
▶	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
▶	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize66.0ms (4.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite216.0ms (14.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`pow1`
1518×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1492×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	154	15
2	2077	15

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

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

simplify56.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1466×	`fma-neg`
1052×	`div-sub`
986×	`times-frac`
650×	`fma-def`
536×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1122
1	267	1082
2	939	1022
3	4774	1022

Stop Event

1×	node limit

Counts

52 → 48

Calls

Call 1

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

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

eval20.0ms (1.4%)

Compiler: Compiled 684 to 459 computations (32.9% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	48	4	52

Accurracy

100.0%

Counts

52 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize1.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x

Compiler

Compiled 48 to 32 computations (33.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accurracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 x (.f64 (.f64 x -1/2) x))
✓	100.0%	(.f64 x (-.f64 1 (.f64 x 1/2)))
✓	51.8%	(.f64 x (.f64 x -1/2))
	49.8%	x

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes8.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))

Calls

2 calls:

4.0ms	x
3.0ms	(.f64 x (-.f64 1 (.f64 x 1/2)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(.f64 x (-.f64 1 (.f64 x 1/2)))`

Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes10.0ms (0.6%)

Counts

2 → 3

Calls

Call 1

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

Outputs
(.f64 x (.f64 x -1/2))
x
(.f64 x (.f64 x -1/2))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.0%	3	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes3.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
49.8%	1	`x`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch24.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.00974651304922772	55404.92452184336
11.0ms	-71.74370704353149	-1.9505538077624818

Results

21.0ms

256×

body

256

valid

Compiler

Compiled 172 to 121 computations (29.7% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`sub-neg`
8×	`+-commutative`
6×	`neg-mul-1`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	37	59
2	48	59
3	54	59
4	58	59
5	59	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
x

Outputs
(.f64 x (-.f64 1 (.f64 x 1/2)))
(if (<=.f64 x -2) (.f64 x (.f64 x -1/2)) (if (<=.f64 x 2) x (.f64 x (.f64 x -1/2))))
(if (or (<=.f64 x -2) (not (<=.f64 x 2))) (.f64 x (.f64 x -1/2)) x)
x

Compiler

Compiled 26 to 18 computations (30.8% saved)

soundness89.0ms (6%)

Rules

1884×	`fma-def`
1768×	`times-frac`
660×	`associate-r`
624×	`associate-l`
428×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	605
1	168	577
2	507	553
3	2741	525
4	5501	525

Stop Event

1×	node limit

Compiler

Compiled 21 to 15 computations (28.6% saved)

end31.0ms (2.1%)

Compiler: Compiled 64 to 44 computations (31.3% saved)

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15
0	1	1

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15
0	1	1

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15

analyze0.0ms (0%)

sample588.0ms (40%)

preprocess30.0ms (2%)

simplify28.0ms (1.9%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize27.0ms (1.9%)

series1.0ms (0.1%)

rewrite83.0ms (5.6%)

simplify56.0ms (3.8%)

eval8.0ms (0.6%)

prune101.0ms (6.9%)

localize66.0ms (4.5%)

series1.0ms (0.1%)

rewrite216.0ms (14.7%)

simplify56.0ms (3.8%)

eval20.0ms (1.4%)

prune7.0ms (0.5%)

localize1.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes8.0ms (0.5%)

regimes10.0ms (0.6%)

regimes3.0ms (0.2%)

bsearch24.0ms (1.6%)

simplify6.0ms (0.4%)

soundness89.0ms (6%)

end31.0ms (2.1%)

Profiling

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15
0	1	1

Iter	Nodes	Cost
0	8	19
1	18	19
2	36	15
3	73	15
4	150	15
5	212	15
6	289	15
7	385	15
8	598	15
9	616	15
10	646	15