Details

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample87.0ms

Algorithm

intervals

Results

30.0ms	319×	body	80	invalid
21.0ms	256×	body	80	valid

simplify539.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (530.0ms)

Iter	Nodes	Cost
0	5734	43

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 10.7b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
3.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0b	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
5.2b	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`associate-*r/_binary64`
11×	`sub-neg_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64` `associate-l_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`associate--r+_binary64` `associate--l+_binary64`
1×	`diff-log_binary64`

Counts

4 → 85

Calls

4 calls:

9.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
6.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
6.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(-.f64 (.f64 x (-.f64 (.f64 y z) (.f64 t a))) (.f64 b (-.f64 (.f64 c z) (.f64 i a))))
77.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
81.0ms	(.f64 b (-.f64 (.f64 c z) (*.f64 i a)))
83.0ms	(.f64 x (-.f64 (.f64 y z) (*.f64 t a)))

simplify80.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5044	2300

prune152.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	77	20	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	20	98

Merged error: 7.5b

Counts

98 → 20

localize22.0ms

Local error

Found 4 expressions with local error:

3.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0b	(.f64 x (.f64 t a))
5.0b	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
5.1b	(.f64 (.f64 y z) x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
10×	`-un-lft-identity_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(.f64 x (.f64 t a))
6.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
5.0ms	(.f64 (.f64 y z) x)

series208.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
25.0ms	(.f64 x (.f64 t a))
80.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
25.0ms	(.f64 (.f64 y z) x)

simplify86.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4953	1128
1	4953	1128

prune103.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	92	20	112

Merged error: 4.4b

Counts

112 → 20

localize27.0ms

Local error

Found 4 expressions with local error:

3.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.2b	(.f64 (.f64 x t) a)
5.0b	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
5.1b	(.f64 (.f64 y z) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 80

Calls

4 calls:

7.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(.f64 (.f64 x t) a)
6.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
6.0ms	(.f64 (.f64 y z) x)

series220.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
31.0ms	(.f64 (.f64 x t) a)
79.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))
29.0ms	(.f64 (.f64 y z) x)

simplify87.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5204	1130

prune94.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	18	19
Picked	0	1	1
Done	0	0	0
Total	92	20	112

Merged error: 4.0b

Counts

112 → 20

localize23.0ms

Local error

Found 4 expressions with local error:

3.8b	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
4.0b	(.f64 x (.f64 t a))
4.6b	(.f64 y (.f64 z x))
5.0b	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
2×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
5.0ms	(.f64 x (.f64 t a))
5.0ms	(.f64 y (.f64 z x))
7.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))

series215.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 j (-.f64 (.f64 c t) (*.f64 i y)))
28.0ms	(.f64 x (.f64 t a))
28.0ms	(.f64 y (.f64 z x))
80.0ms	(.f64 b (-.f64 (.f64 a i) (*.f64 z c)))

simplify84.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5193	1126

prune73.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	88	4	92
Fresh	2	16	18
Picked	1	0	1
Done	0	1	1
Total	91	21	112

Merged error: 3.8b

Counts

112 → 21

regimes553.0ms

Accuracy

10.4% (5.7b remaining)

Error of 11.6b against oracle of 5.9b and baseline of 12.2b

bsearch128.0ms

Steps

Iters	Range		Point
8	-4.6413627487666986e-296	-3.5470504810430254e-300	-2.2010165648477862e-296
7	-2.1056991559951986e+112	-3.383510426266825e+110	-6.024299110819505e+111

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	226	207
1	226	207

end0.0ms

sample2.7s

Algorithm

intervals

Results

956.0ms	11048×	body	80	invalid
682.0ms	8000×	body	80	valid

Details

analyze2.1s

sample87.0ms

simplify539.0ms

prune3.0ms

localize26.0ms

rewrite31.0ms

series486.0ms

simplify80.0ms

prune152.0ms

localize22.0ms

rewrite25.0ms

series208.0ms

simplify86.0ms

prune103.0ms

localize27.0ms

rewrite26.0ms

series220.0ms

simplify87.0ms

prune94.0ms

localize23.0ms

rewrite25.0ms

series215.0ms

simplify84.0ms

prune73.0ms

regimes553.0ms

bsearch128.0ms

simplify6.0ms

end0.0ms

sample2.7s

Profiling