Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.2s (45.5%)

Results

1.1s	8144×	body	128	valid
75.0ms	33×	body	512	valid
22.0ms	65×	body	1024	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 41 to 29 computations (29.3% saved)

simplify14.0ms (0.5%)

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

prune4.0ms (0.2%)

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 (0.2%)

Counts

1 → 20

Calls

1 calls:

4.0ms

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

rewrite14.0ms (0.5%)

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:

13.0ms

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

simplify196.0ms (7.4%)

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

prune71.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
	19.1b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) 27000)) (+.f64 (.f64 d2 d2) (-.f64 (.f64 30 30) (.f64 d2 30))))
▶	10.6b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 514 to 343 computations (33.3% saved)

localize15.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.3b	(*.f64 d1 (fma.f64 d2 d2 -900))
✓	7.2b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))

series57.0ms (2.1%)

Counts

2 → 48

Calls

2 calls:

39.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
17.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

rewrite126.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

115.0ms	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
6.0ms	(*.f64 d1 (fma.f64 d2 d2 -900))

simplify124.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

786×	`div-sub_binary64`
586×	`associate-/l*_binary64`
533×	`times-frac_binary64`
362×	`fma-def_binary64`
297×	`associate-*l/_binary64`

Counts

99 → 88

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1257
1	222	1136
2	874	1135
3	4049	1135
4	6643	1135

prune99.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Error

Counts

91 → 3

Alt Table

Status	Error	Program
✓	10.6b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
▶	9.9b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 1371 to 880 computations (35.8% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 d1 (-.f64 d2 30))
✓	9.8b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))

series109.0ms (4.1%)

Counts

2 → 36

Calls

2 calls:

91.0ms	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
17.0ms	(/.f64 d1 (-.f64 d2 30))

rewrite35.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`

Counts

2 → 83

Calls

2 calls:

18.0ms	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
7.0ms	(/.f64 d1 (-.f64 d2 30))

simplify149.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

452×	`fma-neg_binary64`
388×	`associate-l_binary64`
305×	`associate-r_binary64`
305×	`fma-def_binary64`
297×	`associate-/l*_binary64`

Counts

119 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1877
1	394	1752
2	1192	1727
3	4027	1725
4	4908	1725

prune138.0ms (5.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	133	3	136

Error

Counts

136 → 3

Alt Table

Status	Error	Program
✓	10.6b	(/.f64 (*.f64 d1 (fma.f64 d2 d2 -900)) (-.f64 d2 30))
✓	9.9b	(*.f64 (/.f64 d1 (-.f64 d2 30)) (fma.f64 d2 d2 -900))
✓	0.0b	(*.f64 d1 (+.f64 d2 30))

Compiler

Compiled 2421 to 1513 computations (37.5% saved)

regimes207.0ms (7.8%)

Accuracy

Total 0.1b remaining (91.3%)

Threshold costs 0.1b (91.3%)

Counts

20 → 1

Compiler

Compiled 698 to 506 computations (27.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end67.0ms (2.5%)

Compiler: Compiled 49 to 33 computations (32.7% saved)

Details

analyze2.0ms (0.1%)

sample1.2s (45.5%)

simplify14.0ms (0.5%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite14.0ms (0.5%)

simplify196.0ms (7.4%)

prune71.0ms (2.7%)

localize15.0ms (0.5%)

series57.0ms (2.1%)

rewrite126.0ms (4.7%)

simplify124.0ms (4.7%)

prune99.0ms (3.7%)

localize12.0ms (0.5%)

series109.0ms (4.1%)

rewrite35.0ms (1.3%)

simplify149.0ms (5.6%)

prune138.0ms (5.2%)

regimes207.0ms (7.8%)

simplify4.0ms (0.1%)

end67.0ms (2.5%)

Profiling