Details

analyze647.0ms

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	56×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune15.0ms

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: 1.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
7.6b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_5053`
13×	`associate-l_binary64_5128`
12×	`*-un-lft-identity_binary64_5068`
10×	`times-frac_binary64_5063` `add-cube-cbrt_binary64_5039`
7×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`associate-r_binary64_5127`
4×	`add-log-exp_binary64_5033` `pow1_binary64_5014` `sub-neg_binary64_5072`
2×	`distribute-lft-in_binary64_5110` `prod-exp_binary64_5019` `flip3--_binary64_5067` `unswap-sqr_binary64_5096` `associate-+l+_binary64_5120` `frac-times_binary64_5060` `associate-*r/_binary64_5129` `distribute-rgt-in_binary64_5111` `flip--_binary64_5094` `cbrt-unprod_binary64_5037`
1×	`pow-prod-down_binary64_4995` `cbrt-undiv_binary64_5038` `associate-l/_binary64_5130` `flip3-+_binary64_5066` `flip-+_binary64_5093` `distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097` `div-exp_binary64_5021` `sum-log_binary64_4983` `div-inv_binary64_5069` `-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

2 → 53

Calls

2 calls:

9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
9.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
58.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify81.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5297	866

prune238.0ms

Filtered

46 candidates to 59 candidates (-28.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
2.6b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
5.2b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div_binary64_5036`
98×	`frac-times_binary64_5060`
68×	`flip3--_binary64_5067` `flip--_binary64_5094`
50×	`associate-*r/_binary64_5129`
37×	`associate-*l/_binary64_5130`
34×	`add-exp-log_binary64_5032`
24×	`add-sqr-sqrt_binary64_5053`
21×	`add-cbrt-cube_binary64_5040` `*-un-lft-identity_binary64_5068`
18×	`pow1_binary64_5014`
17×	`prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
15×	`cbrt-prod_binary64_5035` `add-cube-cbrt_binary64_5039`
14×	`associate-l_binary64_5128`
10×	`times-frac_binary64_5063`
9×	`pow-prod-down_binary64_4995` `associate-r_binary64_5127`
4×	`cbrt-undiv_binary64_5038` `add-log-exp_binary64_5033` `div-exp_binary64_5021`
3×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
2×	`pow1/3_binary64_5006` `unswap-sqr_binary64_5096` `*-commutative_binary64_5136`
1×	`div-inv_binary64_5069`

Counts

4 → 164

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
29.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
16.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

series459.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt.f64 (-.f64 z t))
123.0ms	(cbrt.f64 (-.f64 z t))
64.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
152.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

simplify109.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5372	5602

prune530.0ms

Filtered

119 candidates to 176 candidates (-47.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	176	5	181

Merged error: 0b

Counts

181 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
2.5b	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
3.2b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log_binary64_5032`
35×	`add-cbrt-cube_binary64_5040`
33×	`prod-exp_binary64_5019`
32×	`add-sqr-sqrt_binary64_5053`
24×	`*-un-lft-identity_binary64_5068`
23×	`associate-r_binary64_5127` `times-frac_binary64_5063`
22×	`add-cube-cbrt_binary64_5039`
20×	`cbrt-unprod_binary64_5037`
16×	`cbrt-prod_binary64_5035`
12×	`associate-l_binary64_5128` `div-exp_binary64_5021`
11×	`pow1_binary64_5014` `frac-times_binary64_5060`
10×	`cbrt-undiv_binary64_5038`
8×	`associate-*r/_binary64_5129`
7×	`associate-*l/_binary64_5130`
6×	`rec-exp_binary64_5020` `flip3--_binary64_5067` `flip--_binary64_5094`
4×	`pow-prod-down_binary64_4995` `add-log-exp_binary64_5033`
3×	`unswap-sqr_binary64_5096`
2×	`pow1/3_binary64_5006` `div-inv_binary64_5069` `*-commutative_binary64_5136`
1×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
19.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
19.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(cbrt.f64 y)
88.0ms	(cbrt.f64 y)
135.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
80.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6561	2042

prune430.0ms

Filtered

100 candidates to 135 candidates (-35.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) y)
0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
7.9b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_5053`
37×	`*-un-lft-identity_binary64_5068`
31×	`times-frac_binary64_5063`
23×	`add-cube-cbrt_binary64_5039`
19×	`associate-r_binary64_5127`
10×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
7×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
5×	`associate-/l*_binary64_5132` `add-log-exp_binary64_5033` `pow1_binary64_5014`
3×	`associate-/r_binary64_5131` `associate-l*_binary64_5128`
2×	`associate-/l/_binary64_5134` `cbrt-undiv_binary64_5038` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `clear-num_binary64_5071` `div-sub_binary64_5062` `flip3--_binary64_5067` `associate-r/_binary64_5129` `flip--_binary64_5094` `sum-log_binary64_4983` `-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

3 → 87

Calls

3 calls:

6.0ms	(/.f64 (-.f64 z t) y)
8.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
10.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

series125.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 (-.f64 z t) y)
40.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
61.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

simplify65.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5326	1341

prune252.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	96	5	101

Merged error: 0b

Counts

101 → 5

regimes788.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

sample705.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
72.0ms	2093×	body	80	invalid

Details

analyze647.0ms

sample31.0ms

simplify72.0ms

prune15.0ms

localize10.0ms

rewrite20.0ms

series100.0ms

simplify81.0ms

prune238.0ms

localize16.0ms

rewrite64.0ms

series459.0ms

simplify109.0ms

prune530.0ms

localize19.0ms

rewrite46.0ms

series390.0ms

simplify64.0ms

prune430.0ms

localize10.0ms

rewrite27.0ms

series125.0ms

simplify65.0ms

prune252.0ms

regimes788.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample705.0ms

Profiling