Details

analyze535.0ms (18.5%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample35.0ms (1.2%)

Algorithm

1×

intervals

Results

11.0ms	253×	body	128	valid
4.0ms	27×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

prune3.0ms (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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

series10.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`

Counts

1 → 26

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

simplify65.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
318×	`associate-r_binary64`
261×	`fma-def_binary64`

Counts

62 → 50

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	687
1	163	645
2	700	643
3	4006	643
4	4316	643
5	5142	643

prune34.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Error

Counts

52 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	34.8b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
▶	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

Compiler

Compiled 730 to 435 computations (40.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 d3 37) d1)
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

series14.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))
4.0ms	(*.f64 (+.f64 d3 37) d1)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 38

Calls

2 calls:

6.0ms	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))
5.0ms	(*.f64 (+.f64 d3 37) d1)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-rgt-in_binary64`
591×	`associate-l_binary64`
585×	`distribute-lft-in_binary64`
473×	`associate-r_binary64`
410×	`sub-neg_binary64`

Counts

98 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	953
1	219	929
2	835	926
3	3452	926
4	4492	926
5	4945	926

prune43.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Status	Error	Program
▶	22.4b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

Compiler

Compiled 1080 to 613 computations (43.2% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))
✓	0.0b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
✓	4.0b	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
✓	18.6b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))

series269.0ms (9.3%)

Counts

4 → 96

Calls

4 calls:

186.0ms	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
65.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))
15.0ms	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
2.0ms	(+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
11×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

4 → 85

Calls

4 calls:

12.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (.f64 d3 37))))
10.0ms	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
7.0ms	(*.f64 d1 (+.f64 (pow.f64 d3 3) 50653))
5.0ms	(+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))

simplify126.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

788×	`distribute-rgt-in_binary64`
697×	`fma-def_binary64`
613×	`times-frac_binary64`
134×	`cancel-sign-sub-inv_binary64`
130×	`associate-l_binary64`

Counts

181 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	3637
1	497	3349
2	1946	2962
3	5275	2962

prune168.0ms (5.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Error

Counts

180 → 3

Alt Table

Status	Error	Program
✓	22.4b	(+.f64 (.f64 d2 d1) (/.f64 (.f64 d1 (+.f64 (pow.f64 d3 3) 50653)) (+.f64 (.f64 d3 d3) (-.f64 (.f64 37 37) (*.f64 d3 37)))))
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	0.0b	(+.f64 (.f64 d2 d1) (.f64 (+.f64 d3 37) d1))

Compiler

Compiled 5203 to 3367 computations (35.3% saved)

regimes372.0ms (12.9%)

Accuracy

Total 0.0b remaining (56%)

Threshold costs 0.0b (56%)

Counts

62 → 1

Compiler

Compiled 5809 to 4125 computations (29% 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	8	11
1	10	11
2	10	11

end6.0ms (0.2%)

Compiler: Compiled 33 to 21 computations (36.4% saved)

sample1.0s (35.7%)

Algorithm

1×

intervals

Results

407.0ms	7960×	body	128	valid
31.0ms	687×	body	128	invalid
3.0ms	17×	body	1024	valid
2.0ms	14×	body	512	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 79 to 56 computations (29.1% saved)

Details

analyze535.0ms (18.5%)

sample35.0ms (1.2%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series10.0ms (0.3%)

rewrite8.0ms (0.3%)

simplify65.0ms (2.3%)

prune34.0ms (1.2%)

localize6.0ms (0.2%)

series14.0ms (0.5%)

rewrite12.0ms (0.4%)

simplify80.0ms (2.8%)

prune43.0ms (1.5%)

localize15.0ms (0.5%)

series269.0ms (9.3%)

rewrite39.0ms (1.4%)

simplify126.0ms (4.4%)

prune168.0ms (5.8%)

regimes372.0ms (12.9%)

simplify2.0ms (0.1%)

end6.0ms (0.2%)

sample1.0s (35.7%)

Profiling