Details

analyze30.0ms (2.8%)

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 9 to 7 computations (22.2% saved)

sample780.0ms (73%)

Results

768.0ms	8256×	body	256	valid
0.0ms	5×	body	256	infinite

Bogosity

preprocess52.0ms (4.9%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
6×	`fma-def`
2×	`1-exp`
2×	`fma-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	24	15
3	25	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
6×	`fma-def`
2×	`1-exp`
2×	`fma-neg`
2×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	19	15
2	24	15
3	25	15

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0.1%)

Compiler: Compiled 20 to 13 computations (35% 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 (.f64 (.f64 x x) 2) 1)

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite98.0ms (9.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1040×	`*-un-lft-identity`
988×	`pow1`
964×	`add-cube-cbrt`
956×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	121	13
2	1385	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x x) 2)

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

Outputs

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

simplify40.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1414×	`distribute-lft-in`
1366×	`distribute-rgt-in`
1312×	`log-prod`
904×	`associate-r`
832×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
1	90	299
2	356	299
3	2123	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

eval3.0ms (0.3%)

Compiler: Compiled 118 to 95 computations (19.5% saved)

prune2.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	1	14

Accurracy

100.0%

Counts

14 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`sub-neg`
2×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	15	19
2	16	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

soundness0.0ms (0%)

end37.0ms (3.5%)

Compiler: Compiled 8 to 6 computations (25% saved)

Details

analyze30.0ms (2.8%)

sample780.0ms (73%)

preprocess52.0ms (4.9%)

simplify13.0ms (1.2%)

eval1.0ms (0.1%)

prune1.0ms (0.1%)

localize7.0ms (0.6%)

series1.0ms (0.1%)

rewrite98.0ms (9.2%)

simplify40.0ms (3.8%)

eval3.0ms (0.3%)

prune2.0ms (0.2%)

simplify4.0ms (0.3%)

soundness0.0ms (0%)

end37.0ms (3.5%)

Profiling