Details

analyze727.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample25.0ms

Algorithm

intervals

Results

9.0ms	246×	body	80	valid
3.0ms	70×	body	80	invalid
1.0ms	5×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	320	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
11.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5342	515

prune71.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
0.0b	(.f64 x (.f64 (+.f64 y z) 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64`
1×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
12.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
8.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series37.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
15.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
9.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify57.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4941	629
1	4941	629

prune67.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z)) (.f64 x t)) (.f64 y 5))
2.4b	(-.f64 (.f64 y y) (.f64 z z))
8.3b	(.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z))))
17.5b	(/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`associate-*r/_binary64`
7×	`add-cube-cbrt_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `difference-of-squares_binary64` `div-exp_binary64` `sum-log_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `diff-log_binary64` `associate-r_binary64` `associate-+l+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

16.0ms	(+.f64 (+.f64 (/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z)) (.f64 x t)) (.f64 y 5))
5.0ms	(-.f64 (.f64 y y) (.f64 z z))
10.0ms	(.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z))))
13.0ms	(/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z))

series93.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+.f64 (+.f64 (/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z)) (.f64 x t)) (.f64 y 5))
6.0ms	(-.f64 (.f64 y y) (.f64 z z))
20.0ms	(.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z))))
28.0ms	(/.f64 (.f64 x (.f64 2 (-.f64 (.f64 y y) (.f64 z z)))) (-.f64 y z))

simplify32.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5336	1415

prune91.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x t) (.f64 (*.f64 x 2) (+.f64 y z)))
0.0b	(.f64 (.f64 x 2) (+.f64 y z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`distribute-lft-out_binary64` `associate-l_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

5.0ms	(+.f64 (.f64 x t) (.f64 (*.f64 x 2) (+.f64 y z)))
8.0ms	(.f64 (.f64 x 2) (+.f64 y z))

series25.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (.f64 x t) (.f64 (*.f64 x 2) (+.f64 y z)))
11.0ms	(.f64 (.f64 x 2) (+.f64 y z))

simplify39.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4942	398
1	4942	398

prune35.0ms

Filtered

30 candidates to 42 candidates (-40.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

regimes271.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample673.0ms

Algorithm

intervals

Results

297.0ms	7709×	body	80	valid
72.0ms	1917×	body	80	invalid
17.0ms	100×	body	1280	valid
15.0ms	106×	body	640	valid
6.0ms	59×	body	320	valid
2.0ms	26×	body	160	valid

Details

analyze727.0ms

sample25.0ms

simplify11.0ms

prune12.0ms

localize9.0ms

rewrite22.0ms

series26.0ms

simplify44.0ms

prune71.0ms

localize11.0ms

rewrite31.0ms

series37.0ms

simplify57.0ms

prune67.0ms

localize15.0ms

rewrite46.0ms

series93.0ms

simplify32.0ms

prune91.0ms

localize8.0ms

rewrite14.0ms

series25.0ms

simplify39.0ms

prune35.0ms

regimes271.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample673.0ms

Profiling