Details

analyze2.2s

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

sample43.0ms

Algorithm

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

simplify208.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (201.0ms)

Iter	Nodes	Cost
0	4834	49
1	4834	49

prune4.0ms

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: 32.4b

Counts

2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
31.7b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `associate-l_binary64` `times-frac_binary64`
6×	`associate-*l/_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l_binary64` `*-commutative_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 91

Calls

4 calls:

17.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
31.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series1.0s

Counts

4 → 12

Calls

4 calls:

120.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
65.0ms	(.f64 (+.f64 (.f64 x y) z) y)
56.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
771.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify82.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4981	3306
1	4981	3306

prune197.0ms

Filtered

85 candidates to 103 candidates (-21.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 31.3b

Counts

104 → 14

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
31.7b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
20×	`times-frac_binary64`
18×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`associate-l_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`unswap-sqr_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r/_binary64` `associate-/l_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64`

Counts

4 → 115

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
10.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
16.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
38.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

series1.0s

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (+.f64 (.f64 x y) z) y)
54.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
107.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
780.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

simplify91.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4971	4164
1	4971	4164

prune153.0ms

Filtered

86 candidates to 127 candidates (-47.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	128	13	141

Merged error: 31.3b

Counts

141 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y (+.f64 y a)))
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))
3.2b	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
31.7b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b)) c)) i)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
19×	`add-exp-log_binary64`
16×	`associate-r_binary64` `add-cbrt-cube_binary64`
12×	`pow1_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
5×	`cbrt-unprod_binary64` `associate-*r/_binary64`
4×	`pow-prod-down_binary64` `associate-+l+_binary64` `associate-/r/_binary64`
3×	`associate-/r_binary64` `unswap-sqr_binary64` `associate-/l_binary64`
2×	`cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 113

Calls

4 calls:

8.0ms	(.f64 y (.f64 y (+.f64 y a)))
17.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))
13.0ms	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
37.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b)) c)) i)))

series996.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 y (.f64 y (+.f64 y a)))
107.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))
52.0ms	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
792.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b)) c)) i)))

simplify92.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4963	4105
1	4963	4105

prune146.0ms

Filtered

82 candidates to 125 candidates (-52.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	1	11	12
Picked	0	1	1
Done	0	0	0
Total	125	13	138

Merged error: 31.3b

Counts

138 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 y (.f64 y (+.f64 y a)))
3.2b	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
31.7b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`pow1_binary64`
9×	`times-frac_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `prod-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 91

Calls

4 calls:

8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
8.0ms	(.f64 y (.f64 y (+.f64 y a)))
10.0ms	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
33.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))

series916.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(.f64 (+.f64 (.f64 x y) z) y)
44.0ms	(.f64 y (.f64 y (+.f64 y a)))
50.0ms	(+.f64 (.f64 y (.f64 y (+.f64 y a))) (*.f64 y b))
757.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 y (+.f64 (+.f64 (.f64 y (.f64 y (+.f64 y a))) (.f64 y b)) c)) i))

simplify84.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5106	3074

prune119.0ms

Filtered

69 candidates to 103 candidates (-49.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	103	13	116

Merged error: 31.3b

Counts

116 → 13

regimes338.0ms

Accuracy

0% (1.0b remaining)

Error of 28.8b against oracle of 27.7b and baseline of 28.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	52
1	44	52

end0.0ms

sample1.1s

Algorithm

intervals

Results

688.0ms	8000×	body	128	valid
19.0ms	237×	body	128	invalid

Details

analyze2.2s

sample43.0ms

simplify208.0ms

prune4.0ms

localize23.0ms

rewrite79.0ms

series1.0s

simplify82.0ms

prune197.0ms

localize27.0ms

rewrite89.0ms

series1.0s

simplify91.0ms

prune153.0ms

localize25.0ms

rewrite94.0ms

series996.0ms

simplify92.0ms

prune146.0ms

localize27.0ms

rewrite73.0ms

series916.0ms

simplify84.0ms

prune119.0ms

regimes338.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling