Details

analyze1.0s

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

sample74.0ms

Algorithm

intervals

Results

24.0ms	298×	body	80	nan
20.0ms	256×	body	80	valid
3.0ms	39×	body	80	invalid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.0b	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
15×	`add-log-exp_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`
7×	`associate-+l+_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 87

Calls

4 calls:

5.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
11.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
7.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series209.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
71.0ms	(+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a)
64.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
31.0ms	(*.f64 x (log.f64 y))

simplify95.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4969	1302
1	4969	1302

prune101.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	93	6	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Merged error: 0.0b

Counts

100 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod_binary64`
54×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
36×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
12×	`associate-+r+_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 112

Calls

4 calls:

7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series352.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
100.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
88.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)

simplify64.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5300	1696

prune133.0ms

Filtered

93 candidates to 124 candidates (-33.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 y))
0.6b	(cbrt.f64 (sqrt.f64 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64` `log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 67

Calls

4 calls:

5.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
5.0ms	(*.f64 (log.f64 y) 2/3)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(*.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)
53.0ms	(*.f64 (log.f64 y) 2/3)
72.0ms	(cbrt.f64 (sqrt.f64 y))
61.0ms	(cbrt.f64 (sqrt.f64 y))

simplify68.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4897	832
1	4897	832

prune91.0ms

Filtered

57 candidates to 79 candidates (-38.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	79	6	85

Merged error: 0.0b

Counts

85 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))

rewrite7.0ms

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

series393.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 (cbrt.f64 y))
111.0ms	(cbrt.f64 (cbrt.f64 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5003	466

prune72.0ms

Filtered

52 candidates to 62 candidates (-19.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0.0b

Counts

68 → 6

regimes196.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	47
1	47	47

end0.0ms

sample2.3s

Algorithm

intervals

Results

688.0ms	9640×	body	80	nan
656.0ms	7995×	body	80	valid
97.0ms	1256×	body	80	invalid
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid

Details

analyze1.0s

sample74.0ms

simplify73.0ms

prune2.0ms

localize18.0ms

rewrite31.0ms

series209.0ms

simplify95.0ms

prune101.0ms

localize27.0ms

rewrite28.0ms

series352.0ms

simplify64.0ms

prune133.0ms

localize28.0ms

rewrite15.0ms

series255.0ms

simplify68.0ms

prune91.0ms

localize33.0ms

rewrite7.0ms

series393.0ms

simplify48.0ms

prune72.0ms

regimes196.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.3s

Profiling