Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4759	9
1	4759	9

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: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 42

Calls

2 calls:

4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series19.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
6.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify38.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5007	382

prune55.0ms

Filtered

31 candidates to 48 candidates (-54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

0.1b

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

0.2b

(*.f64 (*.f64 x x) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-up_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `pow3_binary64` `flip--_binary64`

Counts

3 → 60

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

8.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

6.0ms

(*.f64 (*.f64 x x) x)

series23.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x)))

5.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 (*.f64 x x) x))

5.0ms

(*.f64 (*.f64 x x) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5417	394

prune53.0ms

Filtered

36 candidates to 69 candidates (-91.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	6	75

Merged error: 0b

Counts

75 → 6

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

0.1b

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

0.2b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

3 → 52

Calls

3 calls:

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

9.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

series23.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

5.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

4.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

simplify63.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4916	439
1	4916	439

prune48.0ms

Filtered

33 candidates to 61 candidates (-84.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	61	6	67

Merged error: 0b

Counts

67 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.6b	(cbrt.f64 x)
0.7b	(pow.f64 (cbrt.f64 x) 3)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log_binary64`
21×	`prod-exp_binary64`
19×	`associate-r_binary64`
18×	`add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `associate-l_binary64` `pow-exp_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`
1×	`unswap-sqr_binary64` `rem-cube-cbrt_binary64`

Counts

4 → 99

Calls

4 calls:

11.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
6.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
1.0ms	(cbrt.f64 x)
3.0ms	(pow.f64 (cbrt.f64 x) 3)

series69.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (pow.f64 (cbrt.f64 x) 3))
4.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
18.0ms	(cbrt.f64 x)
35.0ms	(pow.f64 (cbrt.f64 x) 3)

simplify41.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5161	524

prune64.0ms

Filtered

55 candidates to 111 candidates (-101.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	111	6	117

Merged error: 0b

Counts

117 → 6

regimes72.0ms

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	36	9
1	36	9

end0.0ms

sample309.0ms

Algorithm

intervals

Results

228.0ms

8000×

body

valid

Details

analyze4.0ms

sample12.0ms

simplify117.0ms

prune6.0ms

localize6.0ms

rewrite11.0ms

series19.0ms

simplify38.0ms

prune55.0ms

localize7.0ms

rewrite21.0ms

series23.0ms

simplify59.0ms

prune53.0ms

localize6.0ms

rewrite21.0ms

series23.0ms

simplify63.0ms

prune48.0ms

localize10.0ms

rewrite24.0ms

series69.0ms

simplify41.0ms

prune64.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample309.0ms

Profiling