Details

analyze974.0ms

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

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	86×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	718	9
1	718	9

prune3.0ms

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: 5.4b

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))
6.3b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite24.0ms

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:

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

series45.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
8.0ms	(*.f64 y (-.f64 z t))
14.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)

simplify46.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5072	574

prune51.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

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)
4.0b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite29.0ms

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:

1.0ms	(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)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 a)
16.0ms	(cbrt.f64 a)
18.0ms	(cbrt.f64 a)
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

simplify77.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4970	1068
1	4970	1068

prune68.0ms

Filtered

88 candidates to 116 candidates (-31.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	117	5	122

Merged error: 0.0b

Counts

122 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
6.6b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite20.0ms

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))
12.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

series33.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
15.0ms	(*.f64 (/.f64 y a) (-.f64 z t))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4984	572
1	4984	572

prune45.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
11.5b	(cbrt.f64 (/.f64 y a))
11.5b	(cbrt.f64 (/.f64 y a))
11.5b	(cbrt.f64 (/.f64 y a))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-div_binary64` `cbrt-prod_binary64`
29×	`frac-times_binary64`
27×	`times-frac_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-*l/_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
15×	`associate-*r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `div-inv_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 111

Calls

4 calls:

19.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
3.0ms	(cbrt.f64 (/.f64 y a))
3.0ms	(cbrt.f64 (/.f64 y a))
3.0ms	(cbrt.f64 (/.f64 y a))

series57.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 y a)) (cbrt.f64 (/.f64 y a))) (*.f64 (-.f64 z t) (cbrt.f64 (/.f64 y a))))
13.0ms	(cbrt.f64 (/.f64 y a))
13.0ms	(cbrt.f64 (/.f64 y a))
16.0ms	(cbrt.f64 (/.f64 y a))

simplify77.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4960	1316
1	4960	1316

prune54.0ms

Filtered

87 candidates to 123 candidates (-41.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

regimes447.0ms

Accuracy

79% (0.5b remaining)

Error of 0.5b 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	38	37
1	38	37

end0.0ms

sample728.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
94.0ms	2605×	body	80	invalid

Details

analyze974.0ms

sample28.0ms

simplify43.0ms

prune3.0ms

localize8.0ms

rewrite24.0ms

series45.0ms

simplify46.0ms

prune51.0ms

localize12.0ms

rewrite29.0ms

series71.0ms

simplify77.0ms

prune68.0ms

localize9.0ms

rewrite20.0ms

series33.0ms

simplify41.0ms

prune45.0ms

localize13.0ms

rewrite31.0ms

series57.0ms

simplify77.0ms

prune54.0ms

regimes447.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample728.0ms

Profiling