Details

analyze180.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.2s (37.8%)

Results

1.1s	8115×	body	128	valid
23.0ms	78×	body	1024	valid
12.0ms	45×	body	512	valid
6.0ms	69×	body	128	invalid
3.0ms	17×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
8×	`*-commutative_binary64`
7×	`+-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`distribute-lft-out_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	7
3	64	7
4	67	7
5	68	7
6	66	7

prune23.0ms (0.7%)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(+.f64 (+.f64 (.f64 d1 10) (.f64 d1 d2)) (*.f64 d1 20))
▶	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 58 to 40 computations (31% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

series4.0ms (0.1%)

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 d1 (+.f64 d2 30))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 30))

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
895×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

45 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	389
1	127	359
2	385	359
3	925	359
4	2929	359
5	3014	359
6	3452	359
7	4858	359

prune39.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
	19.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
	14.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
▶	0.0b	(*.f64 (+.f64 d2 30) d1)

Compiler

Compiled 523 to 352 computations (32.7% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d2 30) d1)

series4.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

4.0ms

(*.f64 (+.f64 d2 30) d1)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`associate-r_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 23

Calls

1 calls:

5.0ms

(*.f64 (+.f64 d2 30) d1)

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-+l+_binary64`
425×	`fma-def_binary64`
380×	`associate-+r+_binary64`
359×	`*-commutative_binary64`
309×	`associate-*l/_binary64`

Counts

47 → 42

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	407
1	109	377
2	344	377
3	831	377
4	1467	377
5	2357	377
6	2615	377
7	4559	377
8	4897	377

prune21.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Alt Table

Status	Error	Program
	19.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
▶	14.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
✓	0.0b	(*.f64 (+.f64 d2 30) d1)

Compiler

Compiled 506 to 342 computations (32.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
✓	0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series20.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

16.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
4.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite31.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`associate-r_binary64`
14×	`sqrt-div_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`

Counts

2 → 59

Calls

2 calls:

9.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
6.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

762×	`fma-def_binary64`
508×	`associate-/r/_binary64`
356×	`associate-/l/_binary64`
308×	`distribute-lft-in_binary64`
308×	`fma-neg_binary64`

Counts

95 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1198
1	294	1105
2	880	1095
3	2502	1089
4	4891	1089
5	5022	1089

prune780.0ms (25.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Error

Counts

104 → 3

Alt Table

Status	Error	Program
▶	19.4b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 (-.f64 d2 30) 900))
✓	14.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
✓	0.0b	(*.f64 (+.f64 d2 30) d1)

Compiler

Compiled 1869 to 1385 computations (25.9% saved)

localize19.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.6b	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))
✓	16.0b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 (-.f64 d2 30) 900))

series76.0ms (2.5%)

Counts

2 → 48

Calls

2 calls:

65.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 (-.f64 d2 30) 900))
11.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))

rewrite33.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 50

Calls

2 calls:

24.0ms	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 (-.f64 d2 30) 900))
7.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) 27000))

simplify78.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-/l*_binary64`
453×	`times-frac_binary64`
374×	`distribute-rgt-in_binary64`
367×	`distribute-lft-in_binary64`
251×	`fma-def_binary64`

Counts

98 → 95

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1656
1	280	1431
2	1102	1427
3	4401	1427
4	4968	1427

prune76.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Error

Counts

98 → 3

Alt Table

Status	Error	Program
✓	19.4b	(/.f64 (*.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (fma.f64 d2 (-.f64 d2 30) 900))
✓	14.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))
✓	0.0b	(*.f64 (+.f64 d2 30) d1)

Compiler

Compiled 1970 to 1452 computations (26.3% saved)

regimes102.0ms (3.3%)

Accuracy

Total 0.0b remaining (74.5%)

Threshold costs 0.0b (74.5%)

Counts

25 → 1

Compiler

Compiled 896 to 650 computations (27.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end142.0ms (4.6%)

Compiler: Compiled 50 to 37 computations (26% saved)

Details

analyze180.0ms (5.8%)

sample1.2s (37.8%)

simplify7.0ms (0.2%)

prune23.0ms (0.7%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite6.0ms (0.2%)

simplify72.0ms (2.3%)

prune39.0ms (1.3%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite5.0ms (0.2%)

simplify94.0ms (3%)

prune21.0ms (0.7%)

localize5.0ms (0.2%)

series20.0ms (0.7%)

rewrite31.0ms (1%)

simplify88.0ms (2.9%)

prune780.0ms (25.3%)

localize19.0ms (0.6%)

series76.0ms (2.5%)

rewrite33.0ms (1.1%)

simplify78.0ms (2.5%)

prune76.0ms (2.5%)

regimes102.0ms (3.3%)

simplify2.0ms (0.1%)

end142.0ms (4.6%)

Profiling