Details

analyze399.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	49×	body	128	invalid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5345	16

prune2.0ms

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: 13.7b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
13.3b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

9.0ms	(.f64 (.f64 z z) (+.f64 z 1))
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

series214.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(.f64 (.f64 z z) (+.f64 z 1))
147.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

simplify67.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4972	858
1	4972	858

prune47.0ms

Filtered

33 candidates to 57 candidates (-72.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	7	58

Merged error: 2.4b

Counts

58 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
6.7b	(/.f64 x (*.f64 z z))
8.2b	(.f64 y (/.f64 x (.f64 z z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

11.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
7.0ms	(/.f64 x (*.f64 z z))
8.0ms	(.f64 y (/.f64 x (.f64 z z)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
32.0ms	(/.f64 x (*.f64 z z))
62.0ms	(.f64 y (/.f64 x (.f64 z z)))

simplify86.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4979	1210
1	4979	1210

prune59.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 0.0b

Counts

95 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
7×	`associate-r_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
9.0ms	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z))

series637.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 x)
151.0ms	(cbrt.f64 x)
153.0ms	(cbrt.f64 x)
181.0ms	(.f64 y (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z))

simplify104.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4965	648
1	4965	648

prune65.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
3.2b	(*.f64 (/.f64 y z) (/.f64 x z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
22×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `unswap-sqr_binary64`
3×	`associate-/l/_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `associate-/r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 84

Calls

2 calls:

11.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
11.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

series148.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
54.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

simplify70.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4949	1353
1	4949	1353

prune53.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

regimes63.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	28
1	16	28

end0.0ms

sample535.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	128	valid
54.0ms	1570×	body	128	invalid

Details

analyze399.0ms

sample19.0ms

simplify96.0ms

prune2.0ms

localize9.0ms

rewrite24.0ms

series214.0ms

simplify67.0ms

prune47.0ms

localize8.0ms

rewrite31.0ms

series218.0ms

simplify86.0ms

prune59.0ms

localize12.0ms

rewrite18.0ms

series637.0ms

simplify104.0ms

prune65.0ms

localize8.0ms

rewrite33.0ms

series148.0ms

simplify70.0ms

prune53.0ms

regimes63.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample535.0ms

Profiling