Details

analyze547.0ms (13.6%)

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)

sample29.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms	254×	body	128	valid
1.0ms	29×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`
20×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	20	16
2	40	10
3	101	10
4	155	10
5	149	10
6	135	10

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	0.1b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 62 to 43 computations (30.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 → 24

Calls

1 calls:

6.0ms

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

Compiler

Compiled 303 to 192 computations (36.6% saved)

series24.0ms (0.6%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

18.0ms

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

Compiler

Compiled 323 to 205 computations (36.5% saved)

simplify105.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

961×	`distribute-rgt-in_binary64`
953×	`distribute-lft-in_binary64`
416×	`associate-l_binary64`
377×	`sub-neg_binary64`
318×	`associate-r_binary64`

Counts

39 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	453
1	157	411
2	665	411
3	2686	411
4	3040	411
5	4147	411
6	4771	411
7	4469	411
8	4963	411

prune20.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

0.0b

Counts

33 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	34.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

Compiler

Compiled 326 to 195 computations (40.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.9b	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))
3.1b	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))
3.6b	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3)))
30.1b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))

rewrite220.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

52×	`*-un-lft-identity_binary64`
30×	`associate-*r/_binary64`
28×	`flip-+_binary64`
28×	`flip3-+_binary64`
26×	`distribute-lft-out_binary64`

Counts

4 → 115

Calls

4 calls:

22.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
17.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3)))
13.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))
8.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 4801 to 3267 computations (32% saved)

series370.0ms (9.2%)

Error

Counts

4 → 69

Calls

4 calls:

206.0ms	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
65.0ms	(*.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3)))
39.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))
31.0ms	(-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))

Compiler

Compiled 5220 to 3745 computations (28.3% saved)

simplify156.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

352×	`distribute-rgt-in_binary64`
350×	`associate-r_binary64`
341×	`distribute-lft-in_binary64`
331×	`associate-l_binary64`
167×	`associate-/l*_binary64`

Counts

184 → 161

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	356	5635
1	1115	4954
2	4924	4954
3	5000	4954

prune100.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Error

Counts

163 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
✓	34.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
▶	30.8b	(/.f64 d1 (/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))))

Compiler

Compiled 3901 to 2577 computations (33.9% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 d1 (/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))))
1.6b	(+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2)))
3.1b	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
30.0b	(/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))

rewrite396.0ms (9.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

512×	`*-un-lft-identity_binary64`
330×	`times-frac_binary64`
221×	`distribute-lft-out_binary64`
138×	`add-sqr-sqrt_binary64`
138×	`add-cube-cbrt_binary64`

Counts

4 → 311

Calls

4 calls:

21.0ms	(/.f64 d1 (/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))))
19.0ms	(/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
11.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
9.0ms	(+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2)))

Compiler

Compiled 8261 to 5398 computations (34.7% saved)

series388.0ms (9.7%)

Error

Counts

4 → 75

Calls

4 calls:

149.0ms	(/.f64 d1 (/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))))
87.0ms	(/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3)))
58.0ms	(+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))
41.0ms	(+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2)))

Compiler

Compiled 6855 to 5229 computations (23.7% saved)

simplify291.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

259×	`associate-/l*_binary64`
242×	`times-frac_binary64`
225×	`associate-r_binary64`
224×	`associate-/r/_binary64`
204×	`associate-/r*_binary64`

Counts

386 → 294

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	20193
1	1531	19542
2	5055	19542

prune121.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	294	0	294
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	294	3	297

Error

Counts

297 → 3

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
	34.5b	(/.f64 (.f64 d1 (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 37 d3) 3))) (+.f64 (.f64 d2 d2) (-.f64 (.f64 (+.f64 d3 37) (+.f64 d3 37)) (.f64 d2 (+.f64 d3 37)))))
	30.8b	(/.f64 d1 (/.f64 (+.f64 (.f64 d2 d2) (.f64 (+.f64 d3 37) (-.f64 (+.f64 d3 37) d2))) (+.f64 (pow.f64 d2 3) (pow.f64 (+.f64 d3 37) 3))))

Compiler

Compiled 5342 to 3453 computations (35.4% saved)

regimes447.0ms (11.1%)

Accuracy

Total 0.0b remaining (58.3%)

Threshold costs 0.0b (58.3%)

Compiler

Compiled 9103 to 6562 computations (27.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	11	10

end9.0ms (0.2%)

Remove: (sort d2 d3)
Compiler: Compiled 30 to 21 computations (30% saved)

sample710.0ms (17.7%)

Algorithm

1×

intervals

Results

337.0ms	7965×	body	128	valid
30.0ms	697×	body	128	invalid
2.0ms	16×	body	512	valid
1.0ms	10×	body	1024	valid
1.0ms	9×	body	256	valid

Compiler

Compiled 100 to 72 computations (28% saved)

Details

analyze547.0ms (13.6%)

sample29.0ms (0.7%)

simplify10.0ms (0.3%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite35.0ms (0.9%)

series24.0ms (0.6%)

simplify105.0ms (2.6%)

prune20.0ms (0.5%)

localize14.0ms (0.4%)

rewrite220.0ms (5.5%)

series370.0ms (9.2%)

simplify156.0ms (3.9%)

prune100.0ms (2.5%)

localize16.0ms (0.4%)

rewrite396.0ms (9.8%)

series388.0ms (9.7%)

simplify291.0ms (7.3%)

prune121.0ms (3%)

regimes447.0ms (11.1%)

simplify3.0ms (0.1%)

end9.0ms (0.2%)

sample710.0ms (17.7%)

Profiling