Details

analyze376.0ms

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample23.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4930	9
1	4930	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: 9.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1.0))
9.2b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

9.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
10.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

series19.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 x (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1.0)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5087	485

prune61.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0b

Counts

54 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 x z) (+.f64 1.0 y)) x)
2.4b	(*.f64 (/.f64 x z) (+.f64 1.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

8.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 1.0 y)) x)
9.0ms	(*.f64 (/.f64 x z) (+.f64 1.0 y))

series21.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 1.0 y)) x)
10.0ms	(*.f64 (/.f64 x z) (+.f64 1.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5480	574

prune55.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1.0))
3.1b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
70×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
32×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
16×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

series18.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1.0))
11.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5016	2115

prune103.0ms

Filtered

91 candidates to 145 candidates (-59.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	145	5	150

Merged error: 0b

Counts

150 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
3.2b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `associate-+l-_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
14.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

series16.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (+.f64 (-.f64 y z) 1.0) z)
11.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1.0) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5145	846

prune53.0ms

Filtered

50 candidates to 82 candidates (-64.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	82	5	87

Merged error: 0b

Counts

87 → 5

regimes143.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample455.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
38.0ms	1035×	body	80	invalid

Details

analyze376.0ms

sample23.0ms

simplify86.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series19.0ms

simplify39.0ms

prune61.0ms

localize6.0ms

rewrite19.0ms

series21.0ms

simplify57.0ms

prune55.0ms

localize8.0ms

rewrite26.0ms

series18.0ms

simplify58.0ms

prune103.0ms

localize6.0ms

rewrite26.0ms

series16.0ms

simplify50.0ms

prune53.0ms

regimes143.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample455.0ms

Profiling