Details

analyze792.0ms

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
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	9
20.3%	79.5%	0.2%	10
25.3%	74.5%	0.2%	11
34.2%	65.6%	0.2%	12
37.4%	62%	0.6%	13
41.7%	57.7%	0.6%	14

sample33.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	92×	body	80	invalid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5189	11

prune11.0ms

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: 0.2b

Counts

2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3.0)))
0.2b	(.f64 (.f64 z 3.0) y)
0.2b	(/.f64 y (*.f64 z 3.0))
5.5b	(/.f64 t (.f64 (.f64 z 3.0) y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
5.0ms	(.f64 (.f64 z 3.0) y)
5.0ms	(/.f64 y (*.f64 z 3.0))
6.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))

series27.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
7.0ms	(.f64 (.f64 z 3.0) y)
4.0ms	(/.f64 y (*.f64 z 3.0))
8.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5096	669

prune111.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y (*.f64 z 3.0)))
0.2b	(/.f64 t (*.f64 z 3.0))
0.2b	(/.f64 y (*.f64 z 3.0))
3.9b	(/.f64 (/.f64 t (*.f64 z 3.0)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
24×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/l*_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
7×	`div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`associate-/r*_binary64`
4×	`pow1_binary64`
3×	`cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 103

Calls

4 calls:

6.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
5.0ms	(/.f64 t (*.f64 z 3.0))
5.0ms	(/.f64 y (*.f64 z 3.0))
7.0ms	(/.f64 (/.f64 t (*.f64 z 3.0)) y)

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 x (/.f64 y (*.f64 z 3.0)))
4.0ms	(/.f64 t (*.f64 z 3.0))
4.0ms	(/.f64 y (*.f64 z 3.0))
10.0ms	(/.f64 (/.f64 t (*.f64 z 3.0)) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4970	1033
1	4970	1033

prune124.0ms

Filtered

83 candidates to 115 candidates (-38.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	115	8	123

Merged error: 0b

Counts

123 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b	(/.f64 (/.f64 t (*.f64 z 3.0)) y)
13.9b	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
13.9b	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
13.9b	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

123×	`times-frac_binary64`
75×	`cbrt-prod_binary64`
62×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`div-inv_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-/l*_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`cbrt-div_binary64` `associate-/r*_binary64` `pow1/3_binary64`
1×	`associate-/l/_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`

Counts

4 → 150

Calls

4 calls:

7.0ms	(/.f64 (/.f64 t (*.f64 z 3.0)) y)
6.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
6.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
6.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))

series94.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/.f64 (/.f64 t (*.f64 z 3.0)) y)
27.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
31.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))
28.0ms	(cbrt.f64 (/.f64 (/.f64 t (*.f64 z 3.0)) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4962	2179
1	4962	2179

prune283.0ms

Filtered

141 candidates to 162 candidates (-14.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	162	8	170

Merged error: 0b

Counts

170 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 (/.f64 y z) 3.0))
0.2b	(.f64 (.f64 z 3.0) y)
0.3b	(/.f64 (/.f64 y z) 3.0)
5.5b	(/.f64 t (.f64 (.f64 z 3.0) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac_binary64`
58×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
49×	`add-cube-cbrt_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
9×	`pow1_binary64`
6×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
4×	`associate-/r*_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `difference-of-squares_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 126

Calls

4 calls:

14.0ms	(-.f64 x (/.f64 (/.f64 y z) 3.0))
5.0ms	(.f64 (.f64 z 3.0) y)
7.0ms	(/.f64 (/.f64 y z) 3.0)
6.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))

series27.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 x (/.f64 (/.f64 y z) 3.0))
5.0ms	(.f64 (.f64 z 3.0) y)
7.0ms	(/.f64 (/.f64 y z) 3.0)
8.0ms	(/.f64 t (.f64 (.f64 z 3.0) y))

simplify53.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4999	1340
1	4999	1340

prune117.0ms

Filtered

103 candidates to 138 candidates (-34.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	138	8	146

Merged error: 0b

Counts

146 → 8

regimes447.0ms

Accuracy

59.3% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.8b

bsearch45.0ms

Steps

Iters	Range		Point
9	1.700293156427985e-129	2.4814845394733175e-124	1.664154512901837e-124
9	-1.3562971337395754e+35	-1.702003085814425e+29	-4.833879571757204e+31

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	55
1	71	55

end0.0ms

sample791.0ms

Algorithm

intervals

Results

357.0ms	8000×	body	80	valid
137.0ms	3013×	body	80	invalid

Details

analyze792.0ms

sample33.0ms

simplify87.0ms

prune11.0ms

localize9.0ms

rewrite24.0ms

series27.0ms

simplify44.0ms

prune111.0ms

localize9.0ms

rewrite25.0ms

series26.0ms

simplify61.0ms

prune124.0ms

localize18.0ms

rewrite30.0ms

series94.0ms

simplify61.0ms

prune283.0ms

localize10.0ms

rewrite37.0ms

series27.0ms

simplify53.0ms

prune117.0ms

regimes447.0ms

bsearch45.0ms

simplify3.0ms

end0.0ms

sample791.0ms

Profiling