Details

analyze681.0ms

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	70×	body	80	invalid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune1.0ms

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: 1.4b

Counts

2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
4.5b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
49.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify88.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5340	832

prune49.0ms

Filtered

39 candidates to 55 candidates (-41.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	46	9	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	10	56

Merged error: 0b

Counts

56 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
4.5b	(*.f64 (-.f64 y x) (/.f64 z t))
4.5b	(*.f64 (-.f64 y x) (/.f64 z t))
4.5b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64`
39×	`associate-r_binary64`
35×	`*-un-lft-identity_binary64`
30×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-l_binary64`
10×	`pow1_binary64`
6×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `cbrt-prod_binary64` `-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`

Counts

4 → 127

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
11.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

series436.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt.f64 (+.f64 x (*.f64 (-.f64 y x) (/.f64 z t))))
51.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
53.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
50.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify101.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4989	2066
1	4989	2066

prune110.0ms

Filtered

102 candidates to 139 candidates (-36.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	139	10	149

Merged error: 0b

Counts

149 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
5.6b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64`
22×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64` `times-frac_binary64` `cbrt-prod_binary64`
13×	`pow1_binary64`
12×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-down_binary64` `associate-*l/_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
2×	`flip3--_binary64` `flip--_binary64` `frac-times_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
18.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

series334.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt.f64 z)
89.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 z)
75.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

simplify98.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4968	1116
1	4968	1116

prune62.0ms

Filtered

69 candidates to 96 candidates (-39.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	96	10	106

Merged error: 0b

Counts

106 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

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

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-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_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` `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 → 57

Calls

3 calls:

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

series111.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(*.f64 (-.f64 y x) z)
36.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
48.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)

simplify86.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5139	824

prune30.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	3	3	6
Picked	0	1	1
Done	0	3	3
Total	68	8	76

Merged error: 0b

Counts

76 → 8

regimes110.0ms

Accuracy

0% (1.8b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	13
1	20	13

end0.0ms

sample603.0ms

Algorithm

intervals

Results

257.0ms	8000×	body	80	valid
75.0ms	2068×	body	80	invalid

Details

analyze681.0ms

sample21.0ms

simplify72.0ms

prune1.0ms

localize12.0ms

rewrite17.0ms

series87.0ms

simplify88.0ms

prune49.0ms

localize15.0ms

rewrite40.0ms

series436.0ms

simplify101.0ms

prune110.0ms

localize12.0ms

rewrite25.0ms

series334.0ms

simplify98.0ms

prune62.0ms

localize7.0ms

rewrite22.0ms

series111.0ms

simplify86.0ms

prune30.0ms

regimes110.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample603.0ms

Profiling