Details

analyze902.0ms

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

sample32.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	78×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune4.0ms

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: 6.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
0.0b	(*.f64 y (-.f64 z t))
6.1b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
7.0ms	(*.f64 y (-.f64 z t))
8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

series42.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
13.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5072	574

prune80.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	7	69

Merged error: 0b

Counts

69 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
3.5b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

4.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

series66.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 a)
15.0ms	(cbrt.f64 a)
15.0ms	(cbrt.f64 a)
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify79.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4970	1068
1	4970	1068

prune111.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
4.9b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series31.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
14.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4984	572
1	4984	572

prune65.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
0.0b	(/.f64 a (-.f64 z t))
6.9b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

20.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
9.0ms	(/.f64 a (-.f64 z t))
10.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

series39.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
8.0ms	(/.f64 a (-.f64 z t))
14.0ms	(/.f64 y (/.f64 a (-.f64 z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4997	2025
1	4997	2025

prune116.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	160	7	167

Merged error: 0b

Counts

167 → 7

regimes793.0ms

Accuracy

75.2% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	35
1	34	35

end0.0ms

sample714.0ms

Algorithm

intervals

Results

279.0ms	8000×	body	80	valid
88.0ms	2629×	body	80	invalid

Details

analyze902.0ms

sample32.0ms

simplify44.0ms

prune4.0ms

localize8.0ms

rewrite22.0ms

series42.0ms

simplify50.0ms

prune80.0ms

localize12.0ms

rewrite32.0ms

series66.0ms

simplify79.0ms

prune111.0ms

localize12.0ms

rewrite17.0ms

series31.0ms

simplify45.0ms

prune65.0ms

localize8.0ms

rewrite46.0ms

series39.0ms

simplify63.0ms

prune116.0ms

regimes793.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample714.0ms

Profiling