Details

analyze1.1s

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

sample89.0ms

Algorithm

intervals

Results

29.0ms	338×	body	80	nan
21.0ms	256×	body	80	valid
3.0ms	42×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	1957	21
1	1957	21

prune5.0ms

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

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
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))
0.3b	(*.f64 x (log.f64 y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-log-exp_binary64`
20×	`add-sqr-sqrt_binary64`
18×	`log-prod_binary64`
16×	`*-un-lft-identity_binary64` `sum-log_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`
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:

6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
20.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series207.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
179.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
10.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
7.0ms	(*.f64 x (log.f64 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4985	1070
1	4985	1070

prune114.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	10	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	10	100

Merged error: 0.0b

Counts

100 → 10

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_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 → 64

Calls

4 calls:

6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
12.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series75.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
23.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify36.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5011	480

prune98.0ms

Filtered

63 candidates to 76 candidates (-20.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.4b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_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 → 75

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
13.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series80.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
41.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
16.0ms	(cbrt.f64 c)
15.0ms	(cbrt.f64 c)

simplify26.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5028	712

prune97.0ms

Filtered

69 candidates to 87 candidates (-26.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.4b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (pow.f64 c 1/3)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
5.1b	(pow.f64 c 1/3)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cbrt-prod_binary64`
8×	`pow1_binary64` `associate-*l/_binary64`
7×	`add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
13.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (pow.f64 c 1/3)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
3.0ms	(pow.f64 c 1/3)

series85.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(*.f64 x (log.f64 y))
47.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 (log.f64 (pow.f64 c 1/3)) 2)) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
15.0ms	(cbrt.f64 c)
16.0ms	(pow.f64 c 1/3)

simplify29.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5147	792

prune68.0ms

Filtered

70 candidates to 94 candidates (-34.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	30
1	46	30

end0.0ms

sample2.4s

Algorithm

intervals

Results

773.0ms	10110×	body	80	nan
689.0ms	7998×	body	80	valid
103.0ms	1261×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample89.0ms

simplify47.0ms

prune5.0ms

localize22.0ms

rewrite42.0ms

series207.0ms

simplify37.0ms

prune114.0ms

localize23.0ms

rewrite23.0ms

series75.0ms

simplify36.0ms

prune98.0ms

localize27.0ms

rewrite24.0ms

series80.0ms

simplify26.0ms

prune97.0ms

localize30.0ms

rewrite25.0ms

series85.0ms

simplify29.0ms

prune68.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling