Details

analyze211.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

sample18.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid
0.0ms	3×	body	80	nan

simplify170.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	5541	8

prune3.0ms

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 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(*.f64 x (log.f64 y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

(*.f64 x (log.f64 y))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(*.f64 x (log.f64 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4852	169
1	4852	169

prune37.0ms

Filtered

16 candidates to 28 candidates (-75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0.0b

Counts

29 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64` `log-prod_binary64` `cbrt-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series82.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
25.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
17.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify40.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5064	524

prune132.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.4b	(*.f64 x 1/3)
0.4b	(.f64 (.f64 x 1/3) (log.f64 y))
0.5b	(cbrt.f64 y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`associate-r_binary64`
7×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
6×	`log-prod_binary64`
4×	`add-log-exp_binary64`
3×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/3_binary64` `log-pow_binary64` `unswap-sqr_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
4.0ms	(*.f64 x 1/3)
6.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
1.0ms	(cbrt.f64 y)

series53.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0ms	(*.f64 x 1/3)
9.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
17.0ms	(cbrt.f64 y)

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4937	483
1	4937	483

prune78.0ms

Filtered

55 candidates to 84 candidates (-52.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	6	90

Merged error: 0b

Counts

90 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
43×	`add-sqr-sqrt_binary64`
26×	`sqrt-prod_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `swap-sqr_binary64`
9×	`associate-r_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_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 → 95

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
1.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (sqrt.f64 y))
2.0ms	(cbrt.f64 (sqrt.f64 y))

series62.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
17.0ms	(cbrt.f64 y)
13.0ms	(cbrt.f64 (sqrt.f64 y))
15.0ms	(cbrt.f64 (sqrt.f64 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4913	711
1	4913	711

prune84.0ms

Filtered

72 candidates to 107 candidates (-48.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes230.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	26	8

end0.0ms

sample462.0ms

Algorithm

intervals

Results

298.0ms	7998×	body	80	valid
1.0ms	39×	body	80	invalid
1.0ms	33×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze211.0ms

sample18.0ms

simplify170.0ms

prune3.0ms

localize7.0ms

rewrite8.0ms

series16.0ms

simplify46.0ms

prune37.0ms

localize12.0ms

rewrite15.0ms

series82.0ms

simplify40.0ms

prune132.0ms

localize15.0ms

rewrite18.0ms

series53.0ms

simplify55.0ms

prune78.0ms

localize20.0ms

rewrite16.0ms

series62.0ms

simplify50.0ms

prune84.0ms

regimes230.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample462.0ms

Profiling