Details

analyze72.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	250×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	3×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	41	5
1	41	5

prune6.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 30))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

6.0ms

(*.f64 d1 (+.f64 d2 30))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 d1 (+.f64 d2 30))

simplify47.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4880	159
1	4880	159

prune20.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
0.6b	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))
4.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 30))) (cbrt.f64 (*.f64 d1 (+.f64 d2 30))))
19.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
17.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))
18.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 30)))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5700	933

prune62.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
0.2b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`associate-r_binary64` `sqrt-div_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-prod_binary64`
7×	`flip3-+_binary64` `add-cube-cbrt_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`add-log-exp_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 55

Calls

2 calls:

7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 30)))
6.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 30))) (sqrt.f64 (+.f64 d2 30)))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5367	581

prune29.0ms

Filtered

35 candidates to 61 candidates (-74.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 d2 30) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 30) (sqrt.f64 d1)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
10×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`distribute-lft-out_binary64`

Counts

2 → 48

Calls

2 calls:

7.0ms	(*.f64 (+.f64 d2 30) (sqrt.f64 d1))
9.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 30) (sqrt.f64 d1)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 (+.f64 d2 30) (sqrt.f64 d1))
7.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d2 30) (sqrt.f64 d1)))

simplify55.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5361	417

prune22.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	54	4	58

Merged error: 0b

Counts

58 → 4

regimes49.0ms

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	7	5
1	7	5

end0.0ms

sample386.0ms

Algorithm

intervals

Results

234.0ms	7858×	body	80	valid
7.0ms	57×	body	1280	valid
5.0ms	53×	body	640	valid
3.0ms	97×	body	80	invalid
2.0ms	22×	body	320	valid
1.0ms	10×	body	160	valid

Details

analyze72.0ms

sample14.0ms

simplify6.0ms

prune6.0ms

localize3.0ms

rewrite7.0ms

series6.0ms

simplify47.0ms

prune20.0ms

localize7.0ms

rewrite22.0ms

series79.0ms

simplify65.0ms

prune62.0ms

localize7.0ms

rewrite21.0ms

series16.0ms

simplify33.0ms

prune29.0ms

localize5.0ms

rewrite18.0ms

series13.0ms

simplify55.0ms

prune22.0ms

regimes49.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample386.0ms

Profiling