Details

analyze1.6s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

sample53.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
8.0ms	137×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4985	17
1	4985	17

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 6.8b

Counts

2 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
0.5b	(.f64 (.f64 x 9) y)
2.2b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
10.9b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
6.0ms	(.f64 (.f64 x 9) y)
13.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
14.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

series108.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4)))
4.0ms	(.f64 (.f64 x 9) y)
15.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
47.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 a (.f64 t -4))) c)

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5650	1593

prune136.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	90	11	101

Merged error: 6.2b

Counts

101 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.2b	(/.f64 b (*.f64 z c))
5.3b	(/.f64 (*.f64 a t) c)
10.2b	(/.f64 (.f64 x y) (.f64 z c))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`cbrt-unprod_binary64` `prod-exp_binary64`
12×	`cbrt-undiv_binary64` `add-sqr-sqrt_binary64` `div-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.0ms	(/.f64 b (*.f64 z c))
5.0ms	(/.f64 (*.f64 a t) c)
7.0ms	(/.f64 (.f64 x y) (.f64 z c))

series32.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(/.f64 b (*.f64 z c))
5.0ms	(/.f64 (*.f64 a t) c)
9.0ms	(/.f64 (.f64 x y) (.f64 z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5006	808

prune119.0ms

Filtered

63 candidates to 104 candidates (-65.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	95	9	104
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	98	17	115

Merged error: 0.5b

Counts

115 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.4b	(/.f64 a (/.f64 c t))
5.2b	(/.f64 b (*.f64 z c))
10.2b	(/.f64 (.f64 x y) (.f64 z c))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-/r*_binary64`
14×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`div-inv_binary64`
7×	`associate-/l*_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 141

Calls

4 calls:

9.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 a (/.f64 c t))
5.0ms	(/.f64 b (*.f64 z c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))

series33.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
6.0ms	(/.f64 a (/.f64 c t))
5.0ms	(/.f64 b (*.f64 z c))
11.0ms	(/.f64 (.f64 x y) (.f64 z c))

simplify61.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5020	1430

prune135.0ms

Filtered

105 candidates to 153 candidates (-45.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	151	2	153
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	155	15	170

Merged error: 0.0b

Counts

170 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
4.6b	(*.f64 a (/.f64 t c))
5.2b	(/.f64 b (*.f64 z c))
10.2b	(/.f64 (.f64 x y) (.f64 z c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
15×	`times-frac_binary64`
11×	`cbrt-undiv_binary64` `div-exp_binary64`
8×	`pow1_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

8.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
7.0ms	(*.f64 a (/.f64 t c))
5.0ms	(/.f64 b (*.f64 z c))
6.0ms	(/.f64 (.f64 x y) (.f64 z c))

series30.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
5.0ms	(*.f64 a (/.f64 t c))
5.0ms	(/.f64 b (*.f64 z c))
9.0ms	(/.f64 (.f64 x y) (.f64 z c))

simplify66.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4988	889
1	4988	889

prune45.0ms

Filtered

70 candidates to 115 candidates (-64.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	115	15	130

Merged error: 0.0b

Counts

130 → 15

regimes1.6s

Accuracy

65.4% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 11.3b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	142	191
1	142	191

end0.0ms

sample1.3s

Algorithm

intervals

Results

477.0ms	8000×	body	80	valid
303.0ms	4920×	body	80	invalid

Details

analyze1.6s

sample53.0ms

simplify41.0ms

prune14.0ms

localize13.0ms

rewrite48.0ms

series108.0ms

simplify58.0ms

prune136.0ms

localize15.0ms

rewrite28.0ms

series32.0ms

simplify56.0ms

prune119.0ms

localize15.0ms

rewrite33.0ms

series33.0ms

simplify61.0ms

prune135.0ms

localize18.0ms

rewrite30.0ms

series30.0ms

simplify66.0ms

prune45.0ms

regimes1.6s

bsearch1.0ms

simplify4.0ms

end0.0ms

sample1.3s

Profiling