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
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.6%	0.2%	0%	0.2%	0%	0%	11
99.9%	99.6%	0.1%	0%	0.3%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample805.0ms (70.1%)

Results

786.0ms	8202×	body	256	valid
5.0ms	33×	body	1024	valid
2.0ms	21×	body	512	valid
0.0ms	3×	body	256	infinite

Bogosity

preprocess14.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2×	`fma-neg`
2×	`*-commutative`
2×	`fma-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	16	9
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 (*.f64 x 116) 16)

Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify11.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-neg`
2×	`*-commutative`
2×	`fma-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	16	9

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (*.f64 x 116) 16)

Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

eval0.0ms (0%)

Compiler: Compiled 10 to 8 computations (20% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 116 -16)
▶	100.0%	(-.f64 (*.f64 x 116) 16)

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize6.0ms (0.5%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize3.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)

Compiler

Compiled 8 to 6 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(fma.f64 x 116 -16)
0.0ms	x	@	inf	(fma.f64 x 116 -16)
0.0ms	x	@	0	(fma.f64 x 116 -16)

rewrite102.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`pow1`
1064×	`add-sqr-sqrt`
1008×	`add-exp-log`
1008×	`log1p-expm1-u`
1008×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	123	9
2	1329	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 x 116 -16)

Outputs
(+.f64 -16 (*.f64 x 116))
(+.f64 (*.f64 x 116) -16)
(+.f64 (.f64 (.f64 x 116) 1) -16)
(-.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(/.f64 (+.f64 (pow.f64 (.f64 x 116) 3) -4096) (+.f64 (.f64 (.f64 x 116) (.f64 x 116)) (-.f64 256 (.f64 (.f64 x 116) -16))))
(/.f64 (-.f64 (.f64 (.f64 x 116) (.f64 x 116)) 256) (-.f64 (.f64 x 116) -16))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))

simplify57.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1410×	`fma-def`
1094×	`distribute-rgt-in`
1092×	`distribute-lft-in`
728×	`log-prod`
634×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	355
1	137	343
2	503	339
3	2742	337
4	7655	337

Stop Event

1×	node limit

Counts

33 → 33

Calls

Call 1

Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(+.f64 -16 (*.f64 x 116))
(+.f64 (*.f64 x 116) -16)
(+.f64 (.f64 (.f64 x 116) 1) -16)
(-.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(/.f64 (+.f64 (pow.f64 (.f64 x 116) 3) -4096) (+.f64 (.f64 (.f64 x 116) (.f64 x 116)) (-.f64 256 (.f64 (.f64 x 116) -16))))
(/.f64 (-.f64 (.f64 (.f64 x 116) (.f64 x 116)) 256) (-.f64 (.f64 x 116) -16))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))

Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(+.f64 -16 (*.f64 x 116))
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(+.f64 (.f64 (.f64 x 116) 1) -16)
(fma.f64 116 x -16)
(-.f64 (+.f64 1 (fma.f64 x 116 -16)) 1)
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(*.f64 1 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(/.f64 (+.f64 (pow.f64 (.f64 x 116) 3) -4096) (+.f64 (.f64 (.f64 x 116) (.f64 x 116)) (-.f64 256 (.f64 (.f64 x 116) -16))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1560896) -4096) (+.f64 (.f64 (.f64 x x) 13456) (-.f64 256 (.f64 x -1856))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 (fma.f64 x (.f64 13456 x) 256) (.f64 x 1856)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x (*.f64 x 13456) (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 x (+.f64 (*.f64 x 13456) 1856) 256))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (+.f64 256 (*.f64 x (fma.f64 x 13456 1856))))
(/.f64 (-.f64 (.f64 (.f64 x 116) (.f64 x 116)) 256) (-.f64 (.f64 x 116) -16))
(/.f64 (+.f64 (.f64 (.f64 x x) 13456) -256) (fma.f64 x 116 16))
(/.f64 (fma.f64 x (*.f64 13456 x) -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 x (*.f64 x 13456) -256) (fma.f64 116 x 16))
(pow.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(fma.f64 116 x -16)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(fma.f64 116 x -16)
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(fma.f64 116 x -16)
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(fma.f64 116 x -16)
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)

eval7.0ms (0.6%)

Compiler: Compiled 308 to 248 computations (19.5% saved)

prune5.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	31	4	35

Accurracy

100.0%

Counts

35 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
▶	52.8%	(*.f64 116 x)
	49.8%	-16

Compiler

Compiled 17 to 14 computations (17.6% saved)

localize2.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

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

prune4.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
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 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	52.8%	(*.f64 116 x)
	49.8%	-16

Compiler

Compiled 17 to 14 computations (17.6% 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%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	52.8%	(*.f64 116 x)
	49.8%	-16

Compiler

Compiled 17 to 14 computations (17.6% 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%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	52.8%	(*.f64 116 x)
	49.8%	-16

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes10.0ms (0.9%)

Counts

4 → 1

Calls

Call 1

Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

Outputs
(fma.f64 x 116 -16)

Calls

3 calls:

3.0ms	(*.f64 x 116)
3.0ms	x
3.0ms	(-.f64 (*.f64 x 116) 16)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x 116) 16)`
100.0%	1	`(*.f64 x 116)`

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes12.0ms (1%)

Counts

3 → 1

Calls

Call 1

Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)

Outputs
(-.f64 (*.f64 x 116) 16)

Calls

3 calls:

5.0ms	(*.f64 x 116)
3.0ms	x
3.0ms	(-.f64 (*.f64 x 116) 16)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x 116) 16)`
100.0%	1	`(*.f64 x 116)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes10.0ms (0.8%)

Accuracy

Total -61.3b remaining (-11216.4%)

Threshold costs -61.3b (-11216.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-16
(*.f64 116 x)

Outputs
(*.f64 116 x)
-16
(*.f64 116 x)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

bsearch36.0ms (3.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	7.5009894670999404e-6	1944267830.0981288
20.0ms	-645038356859857.3	-1.1303571646583748e-17

Results

30.0ms

336×

body

256

valid

Compiler

Compiled 178 to 155 computations (12.9% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	30	56
2	35	56
3	37	56
4	38	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 116 x) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (.f64 116 x)))
-16

Outputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 116 x) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (.f64 116 x)))
(if (or (<=.f64 x -607985949695017/4503599627370496) (not (<=.f64 x 1261007895663739/9007199254740992))) (*.f64 x 116) -16)
(if (<=.f64 x -607985949695017/4503599627370496) (.f64 x 116) (if (<=.f64 x 1261007895663739/9007199254740992) -16 (.f64 x 116)))
-16

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness15.0ms (1.3%)

Rules

2×	`fma-neg`
2×	`*-commutative`
2×	`fma-def`
2×	`sub-neg`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	14	9
2	16	9

Stop Event

1×

saturated

Compiler

Compiled 15 to 12 computations (20% saved)

end35.0ms (3%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

Details

analyze3.0ms (0.2%)

sample805.0ms (70.1%)

preprocess14.0ms (1.2%)

simplify11.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

localize3.0ms (0.3%)

series1.0ms (0.1%)

rewrite102.0ms (8.9%)

simplify57.0ms (5%)

eval7.0ms (0.6%)

prune5.0ms (0.4%)

localize2.0ms (0.2%)

eval0.0ms (0%)

prune4.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes10.0ms (0.9%)

regimes12.0ms (1%)

regimes10.0ms (0.8%)

bsearch36.0ms (3.1%)

simplify6.0ms (0.5%)

soundness15.0ms (1.3%)

end35.0ms (3%)

Profiling