Details

analyze180.0ms

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

simplify378.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (368.0ms)

Iter	Nodes	Cost
0	4890	18
1	4890	18

prune1.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
45.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
56.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify81.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4990	1039
1	4990	1039

prune56.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.1b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.7b	(cbrt.f64 z)
0.7b	(cbrt.f64 z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

14.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
12.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series491.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
140.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
84.0ms	(cbrt.f64 z)
82.0ms	(cbrt.f64 z)

simplify71.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4962	996
1	4962	996

prune76.0ms

Filtered

65 candidates to 81 candidates (-24.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`add-log-exp_binary64`
8×	`pow1_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
4×	`distribute-lft-out--_binary64` `sum-log_binary64`
3×	`associate-r_binary64` `log-prod_binary64` `associate--l+_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `log-pow_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out_binary64` `distribute-rgt1-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

4 → 66

Calls

4 calls:

4.0ms	(-.f64 (log.f64 z) z)
6.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
4.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
7.0ms	(*.f64 (-.f64 (log.f64 z) z) y)

series210.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(-.f64 (log.f64 z) z)
44.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 (-.f64 (log.f64 z) z) y)))
66.0ms	(+.f64 y (*.f64 (-.f64 (log.f64 z) z) y))
45.0ms	(*.f64 (-.f64 (log.f64 z) z) y)

simplify110.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4950	1133
1	4950	1133

prune52.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (-.f64 1 z) (.f64 (log.f64 z) 2/3)))
0.2b	(*.f64 (log.f64 (cbrt.f64 z)) y)
0.4b	(*.f64 (log.f64 z) 2/3)
0.7b	(cbrt.f64 z)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
12×	`pow1_binary64` `associate-l_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`associate-*r/_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 y (+.f64 (-.f64 1 z) (.f64 (log.f64 z) 2/3)))
4.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
4.0ms	(*.f64 (log.f64 z) 2/3)
1.0ms	(cbrt.f64 z)

series299.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(.f64 y (+.f64 (-.f64 1 z) (.f64 (log.f64 z) 2/3)))
89.0ms	(*.f64 (log.f64 (cbrt.f64 z)) y)
53.0ms	(*.f64 (log.f64 z) 2/3)
84.0ms	(cbrt.f64 z)

simplify86.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4977	941
1	4977	941

prune67.0ms

Filtered

58 candidates to 84 candidates (-44.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	83	7	90

Merged error: 0b

Counts

90 → 7

regimes114.0ms

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	25	18
1	25	18

end0.0ms

sample555.0ms

Algorithm

intervals

Results

361.0ms	8000×	body	80	valid
14.0ms	312×	body	80	invalid
2.0ms	62×	body	80	nan

Details

analyze180.0ms

sample20.0ms

simplify378.0ms

prune1.0ms

localize9.0ms

rewrite30.0ms

series160.0ms

simplify81.0ms

prune56.0ms

localize13.0ms

rewrite30.0ms

series491.0ms

simplify71.0ms

prune76.0ms

localize9.0ms

rewrite23.0ms

series210.0ms

simplify110.0ms

prune52.0ms

localize16.0ms

rewrite20.0ms

series299.0ms

simplify86.0ms

prune67.0ms

regimes114.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample555.0ms

Profiling