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
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample812.0ms (60.3%)

Results

789.0ms	8256×	body	256	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess31.0ms (2.3%)

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)

simplify27.0ms (2%)

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 (0.1%)

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)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 14 computations (26.3% 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)))

rewrite56.0ms (4.2%)

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)))))

simplify59.0ms (4.4%)

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)

prune5.0ms (0.4%)

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)))
▶	38.9%	(.f64 x (.f64 x -1/2))
	64.0%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize17.0ms (1.3%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 11 computations (38.9% 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))

rewrite57.0ms (4.2%)

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)))

simplify57.0ms (4.2%)

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))

eval21.0ms (1.5%)

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

prune6.0ms (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	1	1
Done	0	2	2
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)))
✓	38.9%	(.f64 x (.f64 x -1/2))
	64.0%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

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)))
✓	38.9%	(.f64 x (.f64 x -1/2))
	64.0%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

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)))
✓	38.9%	(.f64 x (.f64 x -1/2))
	64.0%	x

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes9.0ms (0.6%)

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

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 (0.7%)

Accuracy

Total -58.8b remaining (-3569.7%)

Threshold costs -58.8b (-3569.7%)

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
97.4%	3	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch26.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	6.449049323896805e-11	13.088850303949174
10.0ms	-16.078249672612028	-0.2610129370013586

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 182 to 128 computations (29.7% saved)

simplify8.0ms (0.6%)

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 (6.6%)

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)

end25.0ms (1.8%)

Compiler: Compiled 24 to 16 computations (33.3% 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

Details

analyze3.0ms (0.2%)

sample812.0ms (60.3%)

preprocess31.0ms (2.3%)

simplify27.0ms (2%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize7.0ms (0.5%)

series1.0ms (0.1%)

rewrite56.0ms (4.2%)

simplify59.0ms (4.4%)

eval8.0ms (0.6%)

prune5.0ms (0.4%)

localize17.0ms (1.3%)

localize7.0ms (0.5%)

series1.0ms (0.1%)

rewrite57.0ms (4.2%)

simplify57.0ms (4.2%)

eval21.0ms (1.5%)

prune6.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes9.0ms (0.6%)

regimes10.0ms (0.7%)

bsearch26.0ms (1.9%)

simplify8.0ms (0.6%)

soundness89.0ms (6.6%)

end25.0ms (1.8%)

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