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
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample570.0ms (50.1%)

Results

559.0ms	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess24.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

314×	`fma-def`
34×	`cancel-sign-sub-inv`
32×	`distribute-rgt-in`
28×	`distribute-lft-neg-in`
24×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify23.0ms (2%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-def`
34×	`cancel-sign-sub-inv`
32×	`distribute-rgt-in`
28×	`distribute-lft-neg-in`
24×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 3 computations (50% saved)

localize4.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`pow1`
1128×	`add-exp-log`
1128×	`log1p-expm1-u`
1128×	`expm1-log1p-u`
1104×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	112	13
2	1582	13

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

simplify62.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1108×	`fma-def`
634×	`distribute-lft-neg-in`
548×	`distribute-frac-neg`
532×	`distribute-rgt-neg-in`
522×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	1006
1	245	926
2	909	914
3	4763	844

Stop Event

1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval8.0ms (0.7%)

Compiler: Compiled 483 to 182 computations (62.3% saved)

prune6.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	44	3	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	4	48

Accurracy

100.0%

Counts

48 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (neg.f64 x))
✓	100.0%	(-.f64 (*.f64 x x) x)
▶	38.2%	(*.f64 x x)
▶	64.6%	(neg.f64 x)

Compiler

Compiled 19 to 10 computations (47.4% saved)

localize5.0ms (0.5%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize2.0ms (0.2%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize4.0ms (0.4%)

Compiler: Compiled 9 to 3 computations (66.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
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%	(fma.f64 x x (neg.f64 x))
✓	100.0%	(-.f64 (*.f64 x x) x)
✓	38.2%	(*.f64 x x)
✓	64.6%	(neg.f64 x)

Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes10.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(fma.f64 x x (neg.f64 x))

Calls

2 calls:

5.0ms	x
4.0ms	(*.f64 x (-.f64 x 1))

Results

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

Compiler

Compiled 29 to 13 computations (55.2% saved)

regimes9.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	(*.f64 x (-.f64 x 1))

Results

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

Compiler

Compiled 24 to 12 computations (50% saved)

regimes8.0ms (0.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(*.f64 x (-.f64 x 1))
3.0ms	x

Results

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

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes9.0ms (0.8%)

Accuracy

Total -59.3b remaining (-4034.5%)

Threshold costs -59.3b (-4034.5%)

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)

Outputs
(*.f64 x x)
(neg.f64 x)
(*.f64 x x)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
97.7%	3	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

bsearch26.0ms (2.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.6386290854436424	974346513.2533467
14.0ms	-1596806018.6817434	-0.2610129370013586

Results

23.0ms

304×

body

256

valid

Compiler

Compiled 181 to 121 computations (33.1% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
1	33	81
2	39	81
3	45	81

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(if (<=.f64 x -1) (.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (.f64 x x)))
(neg.f64 x)

Outputs
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(if (<=.f64 x -1) (.f64 x x) (if (<=.f64 x 1) (neg.f64 x) (.f64 x x)))
(neg.f64 x)

Compiler

Compiled 38 to 21 computations (44.7% saved)

soundness274.0ms (24.1%)

Rules

1208×	`pow1`
1128×	`add-exp-log`
1128×	`log1p-expm1-u`
1128×	`expm1-log1p-u`
1108×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13
0	5	13
1	112	13
2	1582	13
0	100	1006
1	245	926
2	909	914
3	4763	844
0	100	1006
1	245	926
2	909	914
3	4763	844

Stop Event

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

Compiler

Compiled 62 to 32 computations (48.4% saved)

end29.0ms (2.6%)

Compiler: Compiled 34 to 14 computations (58.8% saved)

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13

Details

analyze3.0ms (0.2%)

sample570.0ms (50.1%)

preprocess24.0ms (2.1%)

simplify23.0ms (2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.3%)

series1.0ms (0.1%)

rewrite52.0ms (4.6%)

simplify62.0ms (5.4%)

eval8.0ms (0.7%)

prune6.0ms (0.5%)

localize5.0ms (0.5%)

localize2.0ms (0.2%)

localize4.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes10.0ms (0.9%)

regimes9.0ms (0.8%)

regimes8.0ms (0.7%)

regimes9.0ms (0.8%)

bsearch26.0ms (2.3%)

simplify6.0ms (0.5%)

soundness274.0ms (24.1%)

end29.0ms (2.6%)

Profiling

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13
0	1	1

Iter	Nodes	Cost
0	6	13
1	13	13
2	19	13
3	25	13
4	29	13
5	34	13
6	45	13
7	65	13
8	136	13
9	258	13
10	365	13
11	387	13
12	389	13