Details

analyze239.0ms

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%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify171.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (162.0ms)

Iter	Nodes	Cost
0	4932	18
1	4932	18

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

series216.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
35.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
43.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
88.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5489	1613

prune78.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*l/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
4×	`frac-add_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`distribute-lft-out_binary64` `pow1/3_binary64`
1×	`associate-r_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
12.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series825.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2))
413.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
84.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)

simplify119.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4938	1187
1	4938	1187

prune93.0ms

Filtered

70 candidates to 83 candidates (-18.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
9×	`*-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 → 47

Calls

4 calls:

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

series361.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (cbrt.f64 y))
83.0ms	(cbrt.f64 y)
83.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5003	391

prune68.0ms

Filtered

48 candidates to 59 candidates (-22.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (+.f64 y 1/2))
0.3b	(.f64 (.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2))) (*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2))))
0.4b	(*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2)))
0.8b	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
34×	`*-un-lft-identity_binary64`
33×	`cbrt-prod_binary64`
32×	`frac-times_binary64`
30×	`associate-*r/_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`pow1_binary64`
20×	`add-exp-log_binary64`
16×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
15×	`associate-r_binary64`
12×	`associate-l_binary64`
11×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`swap-sqr_binary64`
8×	`distribute-lft-out_binary64`
7×	`pow1/3_binary64`
6×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`log-pow_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 141

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 y 1/2))
21.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2))) (*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2))))
8.0ms	(*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2)))
10.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (+.f64 y 1/2))
90.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2))) (*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2))))
48.0ms	(*.f64 (log.f64 y) (cbrt.f64 (+.f64 y 1/2)))
29.0ms	(*.f64 (cbrt.f64 (+.f64 y 1/2)) (cbrt.f64 (+.f64 y 1/2)))

simplify113.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4963	3127
1	4963	3127

prune139.0ms

Filtered

96 candidates to 153 candidates (-59.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	153	6	159

Merged error: 0.0b

Counts

159 → 6

regimes81.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms

sample523.0ms

Algorithm

intervals

Results

349.0ms	8000×	body	80	valid
1.0ms	34×	body	80	invalid

Details

analyze239.0ms

sample18.0ms

simplify171.0ms

prune5.0ms

localize9.0ms

rewrite27.0ms

series216.0ms

simplify98.0ms

prune78.0ms

localize15.0ms

rewrite24.0ms

series825.0ms

simplify119.0ms

prune93.0ms

localize19.0ms

rewrite8.0ms

series361.0ms

simplify46.0ms

prune68.0ms

localize13.0ms

rewrite50.0ms

series191.0ms

simplify113.0ms

prune139.0ms

regimes81.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample523.0ms

Profiling