Details

analyze217.0ms

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	15×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	208	7
1	208	7

prune2.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 x 3) y) z)
0.2b	(.f64 (.f64 x 3) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-l_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
6.0ms	(.f64 (.f64 x 3) y)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 (.f64 x 3) y) z)
4.0ms	(.f64 (.f64 x 3) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5108	267

prune27.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0.0b

Counts

36 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (.f64 3 y)) z)
0.2b	(.f64 x (.f64 3 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

6.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
5.0ms	(.f64 x (.f64 3 y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (.f64 x (.f64 3 y)) z)
5.0ms	(.f64 x (.f64 3 y))

simplify58.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4957	266
1	4957	266

prune17.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
11.0b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.0b	(cbrt.f64 (.f64 (.f64 x 3) y))
11.0b	(cbrt.f64 (.f64 (.f64 x 3) y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

series85.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (.f64 (.f64 x 3) y)) (cbrt.f64 (.f64 (*.f64 x 3) y)))
18.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
18.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))
18.0ms	(cbrt.f64 (.f64 (.f64 x 3) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5137	494

prune45.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 0.0b

Counts

74 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
0.2b	(.f64 (.f64 x 3) y)
0.3b	(pow.f64 (.f64 (.f64 x 3) y) 3)
28.2b	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `difference-of-squares_binary64` `pow-exp_binary64`
2×	`unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `diff-log_binary64` `pow1/3_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

7.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
5.0ms	(.f64 (.f64 x 3) y)
6.0ms	(pow.f64 (.f64 (.f64 x 3) y) 3)
3.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))

series26.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(-.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3)) z)
4.0ms	(.f64 (.f64 x 3) y)
10.0ms	(pow.f64 (.f64 (.f64 x 3) y) 3)
4.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 x 3) y) 3))

simplify35.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4971	661
1	4971	661

prune34.0ms

Filtered

49 candidates to 87 candidates (-77.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

regimes199.0ms

Accuracy

0% (0.2b 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	19	7
1	19	7

end0.0ms

sample373.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
7.0ms	301×	body	80	invalid

Details

analyze217.0ms

sample14.0ms

simplify12.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series12.0ms

simplify60.0ms

prune27.0ms

localize5.0ms

rewrite12.0ms

series12.0ms

simplify58.0ms

prune17.0ms

localize12.0ms

rewrite21.0ms

series85.0ms

simplify54.0ms

prune45.0ms

localize8.0ms

rewrite24.0ms

series26.0ms

simplify35.0ms

prune34.0ms

regimes199.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample373.0ms

Profiling