Details

analyze3.0ms

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%	33.4%	13
66.6%	0%	33.4%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4975	9
1	4975	9

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`-un-lft-identity_binary64` `sub-neg_binary64` `associate-r/_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

8.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x x) (-.f64 3.0 (*.f64 x 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4915	272
1	4915	272

prune34.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
0.0b	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
0.2b	(.f64 (.f64 x x) 3.0)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`unpow-prod-down_binary64` `cube-prod_binary64`
10×	`add-cbrt-cube_binary64`
8×	`pow1_binary64`
6×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64` `prod-exp_binary64`
5×	`add-log-exp_binary64` `unswap-sqr_binary64`
4×	`cbrt-unprod_binary64` `associate-l_binary64`
3×	`pow-prod-down_binary64`
2×	`distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `sqr-pow_binary64` `cube-neg_binary64` `*-commutative_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unsub-neg_binary64` `unpow3_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 77

Calls

3 calls:

6.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
10.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
6.0ms	(.f64 (.f64 x x) 3.0)

series25.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 (.f64 x x) 3.0) (*.f64 2.0 (pow.f64 (neg.f64 x) 3)))
5.0ms	(*.f64 2.0 (pow.f64 (neg.f64 x) 3))
4.0ms	(.f64 (.f64 x x) 3.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5154	609

prune70.0ms

Filtered

51 candidates to 86 candidates (-68.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Merged error: 0b

Counts

91 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
0.2b	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

6.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
7.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

series20.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(.f64 x (-.f64 3.0 (.f64 x 2.0)))
9.0ms	(.f64 x (.f64 x (-.f64 3.0 (*.f64 x 2.0))))

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5524	490

prune40.0ms

Filtered

30 candidates to 52 candidates (-73.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	52	6	58

Merged error: 0b

Counts

58 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0)) (.f64 2.0 (pow.f64 (neg.f64 x) 3)))
0.1b	(.f64 x (.f64 x (sqrt.f64 3.0)))
0.2b	(.f64 (.f64 x (*.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0))
0.4b	(*.f64 x (sqrt.f64 3.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`pow-prod-down_binary64` `*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
6×	`add-log-exp_binary64`
3×	`*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`flip3-+_binary64` `distribute-rgt-neg-out_binary64` `cube-neg_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

4 → 76

Calls

4 calls:

10.0ms	(+.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0)) (.f64 2.0 (pow.f64 (neg.f64 x) 3)))
6.0ms	(.f64 x (.f64 x (sqrt.f64 3.0)))
9.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0))
5.0ms	(*.f64 x (sqrt.f64 3.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (.f64 (.f64 x (.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0)) (.f64 2.0 (pow.f64 (neg.f64 x) 3)))
6.0ms	(.f64 x (.f64 x (sqrt.f64 3.0)))
9.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 3.0))) (sqrt.f64 3.0))
5.0ms	(*.f64 x (sqrt.f64 3.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4969	617
1	4969	617

prune96.0ms

Filtered

51 candidates to 88 candidates (-72.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

regimes31.0ms

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	20	12
1	20	12

end0.0ms

sample253.0ms

Algorithm

intervals

Results

174.0ms	8000×	body	80	valid
0.0ms	2×	body	80	invalid

Details

analyze3.0ms

sample10.0ms

simplify118.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series9.0ms

simplify60.0ms

prune34.0ms

localize8.0ms

rewrite24.0ms

series25.0ms

simplify75.0ms

prune70.0ms

localize5.0ms

rewrite14.0ms

series20.0ms

simplify43.0ms

prune40.0ms

localize12.0ms

rewrite31.0ms

series37.0ms

simplify65.0ms

prune96.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample253.0ms

Profiling