Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

sample22.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	69	7
1	69	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: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 a b) (+.f64 a b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

9.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 (+.f64 a b) (+.f64 a b))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5592	356

prune37.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 b (+.f64 a b))
0.0b	(*.f64 a (+.f64 a b))
0.0b	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

6.0ms	(*.f64 b (+.f64 a b))
7.0ms	(*.f64 a (+.f64 a b))
9.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 b (+.f64 a b))
4.0ms	(*.f64 a (+.f64 a b))
8.0ms	(+.f64 (.f64 a (+.f64 a b)) (.f64 b (+.f64 a b)))

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4841	616
1	4841	616

prune56.0ms

Filtered

50 candidates to 75 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 b (-.f64 b a))
0.3b	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
0.4b	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
0.4b	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`add-sqr-sqrt_binary64`
16×	`frac-times_binary64`
15×	`associate-l_binary64`
14×	`associate-r_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`flip3-+_binary64` `flip-+_binary64`
10×	`pow1_binary64` `associate-*r/_binary64` `add-cube-cbrt_binary64`
8×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-*l/_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`sub-neg_binary64`
5×	`distribute-lft-out_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
2×	`distribute-lft-out--_binary64`
1×	`associate-/r_binary64` `sum-cubes_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 126

Calls

4 calls:

7.0ms	(*.f64 b (-.f64 b a))
10.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
19.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
29.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 b (-.f64 b a))
11.0ms	(.f64 (+.f64 (.f64 a a) (*.f64 b (-.f64 b a))) (-.f64 a b))
24.0ms	(.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (*.f64 b b)))
19.0ms	(/.f64 (.f64 (+.f64 (pow.f64 a 3) (pow.f64 b 3)) (-.f64 (.f64 a a) (.f64 b b))) (.f64 (+.f64 (.f64 a a) (.f64 b (-.f64 b a))) (-.f64 a b)))

simplify77.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4959	2542
1	4959	2542

prune136.0ms

Filtered

99 candidates to 138 candidates (-39.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	138	3	141

Merged error: 0b

Counts

141 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 b (+.f64 a b))
0.0b	(+.f64 (.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b))) (*.f64 b (+.f64 a b)))
0.2b	(*.f64 a (sqrt.f64 (+.f64 a b)))
0.4b	(.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

44×	`associate-*r/_binary64`
38×	`sqrt-div_binary64`
29×	`flip3-+_binary64` `flip-+_binary64`
18×	`associate-r_binary64`
17×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
16×	`frac-add_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`frac-times_binary64`
11×	`add-cube-cbrt_binary64`
9×	`sqrt-prod_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `associate-*l/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`distribute-lft-out_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(*.f64 b (+.f64 a b))
15.0ms	(+.f64 (.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b))) (*.f64 b (+.f64 a b)))
8.0ms	(*.f64 a (sqrt.f64 (+.f64 a b)))
13.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 b (+.f64 a b))
12.0ms	(+.f64 (.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b))) (*.f64 b (+.f64 a b)))
17.0ms	(*.f64 a (sqrt.f64 (+.f64 a b)))
12.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 a b))) (sqrt.f64 (+.f64 a b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4942	1717
1	4942	1717

prune79.0ms

Filtered

76 candidates to 119 candidates (-56.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Merged error: 0b

Counts

122 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	10	11

end0.0ms

sample417.0ms

Algorithm

intervals

Results

177.0ms	8000×	pre	80	true
120.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample22.0ms

simplify7.0ms

prune2.0ms

localize3.0ms

rewrite11.0ms

series5.0ms

simplify42.0ms

prune37.0ms

localize6.0ms

rewrite24.0ms

series16.0ms

simplify64.0ms

prune56.0ms

localize18.0ms

rewrite70.0ms

series58.0ms

simplify77.0ms

prune136.0ms

localize8.0ms

rewrite47.0ms

series45.0ms

simplify83.0ms

prune79.0ms

regimes75.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample417.0ms

Profiling