Details

analyze1.3s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample76.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
21.0ms	297×	body	80	nan
2.0ms	31×	body	80	invalid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

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: 0.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.2b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-log-exp_binary64`
25×	`sum-log_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
6×	`associate-+r+_binary64` `associate-*l/_binary64`
4×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 95

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
7.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series786.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
481.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
40.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
34.0ms	(*.f64 x (log.f64 y))

simplify84.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4985	2549
1	4985	2549

prune117.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod_binary64`
33×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
16.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series350.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 x (log.f64 y))
144.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
88.0ms	(cbrt.f64 c)
87.0ms	(cbrt.f64 c)

simplify54.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5505	1542

prune150.0ms

Filtered

93 candidates to 111 candidates (-19.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 (cbrt.f64 c))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
2.0ms	(cbrt.f64 (cbrt.f64 c))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))

series477.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt.f64 c)
85.0ms	(cbrt.f64 c)
151.0ms	(cbrt.f64 (cbrt.f64 c))
156.0ms	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))

simplify84.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5027	410

prune92.0ms

Filtered

49 candidates to 57 candidates (-16.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Merged error: 0.0b

Counts

63 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 (cbrt.f64 c))
0.6b	(cbrt.f64 (cbrt.f64 c))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)
2.0ms	(cbrt.f64 (cbrt.f64 c))
2.0ms	(cbrt.f64 (cbrt.f64 c))

series408.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 c)
87.0ms	(cbrt.f64 c)
120.0ms	(cbrt.f64 (cbrt.f64 c))
115.0ms	(cbrt.f64 (cbrt.f64 c))

simplify50.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5003	466

prune80.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

regimes247.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	69
1	56	69

end0.0ms

sample2.3s

Algorithm

intervals

Results

713.0ms	9679×	body	80	nan
665.0ms	7998×	body	80	valid
103.0ms	1225×	body	80	invalid
1.0ms	2×	body	640	valid

Details

analyze1.3s

sample76.0ms

simplify74.0ms

prune2.0ms

localize20.0ms

rewrite49.0ms

series786.0ms

simplify84.0ms

prune117.0ms

localize27.0ms

rewrite27.0ms

series350.0ms

simplify54.0ms

prune150.0ms

localize36.0ms

rewrite9.0ms

series477.0ms

simplify84.0ms

prune92.0ms

localize29.0ms

rewrite8.0ms

series408.0ms

simplify50.0ms

prune80.0ms

regimes247.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample2.3s

Profiling