Details

analyze141.0ms

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
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

sample20.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4947	11
1	4947	11

prune7.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re x.im) 3)

rewrite22.0ms

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`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

9.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
5.0ms	(.f64 (.f64 x.re x.im) 3)

series21.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
4.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
4.0ms	(.f64 (.f64 x.re x.im) 3)

simplify54.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5288	515

prune43.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) 3) (pow.f64 x.im 3))
0.2b	(.f64 (.f64 x.re (*.f64 x.re x.im)) 3)
0.2b	(.f64 x.re (.f64 x.re x.im))

rewrite22.0ms

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`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

8.0ms	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) 3) (pow.f64 x.im 3))
7.0ms	(.f64 (.f64 x.re (*.f64 x.re x.im)) 3)
5.0ms	(.f64 x.re (.f64 x.re x.im))

series21.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (.f64 (.f64 x.re (*.f64 x.re x.im)) 3) (pow.f64 x.im 3))
4.0ms	(.f64 (.f64 x.re (*.f64 x.re x.im)) 3)
4.0ms	(.f64 x.re (.f64 x.re x.im))

simplify54.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4887	515
1	4887	515

prune35.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	58	8	66

Merged error: 0.0b

Counts

66 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
0.2b	(.f64 x.re (.f64 x.im 3))

rewrite22.0ms

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×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-r_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

3 → 50

Calls

3 calls:

8.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
7.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
5.0ms	(.f64 x.re (.f64 x.im 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
4.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
4.0ms	(.f64 x.re (.f64 x.im 3))

simplify61.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4894	512
1	4894	512

prune35.0ms

Filtered

32 candidates to 59 candidates (-84.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 0.0b

Counts

67 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) (pow.f64 x.im 3))
0.2b	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b	(.f64 x.re (.f64 x.re x.im))
0.2b	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1_binary64` `add-exp-log_binary64`
40×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
8×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-l_binary64`
3×	`cbrt-prod_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 93

Calls

4 calls:

16.0ms	(-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) (pow.f64 x.im 3))
11.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms	(.f64 x.re (.f64 x.re x.im))
18.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series43.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(-.f64 (.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) (pow.f64 x.im 3))
11.0ms	(.f64 (.f64 x.re (.f64 x.re x.im)) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
4.0ms	(.f64 x.re (.f64 x.re x.im))
10.0ms	(.f64 (.f64 (.f64 x.re (.f64 x.re x.im)) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4910	974
1	4910	974

prune36.0ms

Filtered

47 candidates to 105 candidates (-123.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 0.0b

Counts

112 → 7

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample573.0ms

Algorithm

intervals

Results

403.0ms	8000×	body	80	valid
29.0ms	583×	body	80	invalid

Details

analyze141.0ms

sample20.0ms

simplify69.0ms

prune7.0ms

localize7.0ms

rewrite22.0ms

series21.0ms

simplify54.0ms

prune43.0ms

localize7.0ms

rewrite22.0ms

series21.0ms

simplify54.0ms

prune35.0ms

localize7.0ms

rewrite22.0ms

series20.0ms

simplify61.0ms

prune35.0ms

localize10.0ms

rewrite53.0ms

series43.0ms

simplify65.0ms

prune36.0ms

regimes65.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample573.0ms

Profiling