Details

analyze660.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	68×	body	128	invalid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	1064	13
1	1064	13

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))
0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

9.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))
16.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+.f64 d4 (-.f64 (-.f64 d2 d3) d1))
91.0ms	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify62.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5007	671

prune29.0ms

Filtered

32 candidates to 50 candidates (-56.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	2	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp_binary64`
6×	`diff-log_binary64`
4×	`add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3--_binary64` `associate-+l-_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate--l+_binary64`

Counts

3 → 42

Calls

3 calls:

6.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series254.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
106.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
68.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify67.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	758
1	4961	758

prune33.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	51	4	55

Merged error: 0b

Counts

55 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)

series638.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
150.0ms	(cbrt.f64 d1)
150.0ms	(cbrt.f64 d1)
163.0ms	(cbrt.f64 d1)

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune50.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
0.5b	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.5b	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
0.5b	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity_binary64`
70×	`cbrt-prod_binary64`
39×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`swap-sqr_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `flip-+_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

26.0ms	(*.f64 (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
8.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
8.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series1.8s

Counts

4 → 12

Calls

4 calls:

524.0ms	(*.f64 (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))) (cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
409.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
413.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))
424.0ms	(cbrt.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify92.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4909	2812
1	4909	2812

prune83.0ms

Filtered

80 candidates to 129 candidates (-61.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	129	4	133

Merged error: 0b

Counts

133 → 4

regimes59.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample639.0ms

Algorithm

intervals

Results

302.0ms	8000×	body	128	valid
87.0ms	2262×	body	128	invalid

Details

analyze660.0ms

sample21.0ms

simplify76.0ms

prune4.0ms

localize6.0ms

rewrite28.0ms

series148.0ms

simplify62.0ms

prune29.0ms

localize10.0ms

rewrite23.0ms

series254.0ms

simplify67.0ms

prune33.0ms

localize10.0ms

rewrite16.0ms

series638.0ms

simplify60.0ms

prune50.0ms

localize11.0ms

rewrite67.0ms

series1.8s

simplify92.0ms

prune83.0ms

regimes59.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample639.0ms

Profiling