Details

analyze3.0ms

Algorithm

Search

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

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune8.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

9.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4970	212
1	4970	212

prune31.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Merged error: 0b

Counts

28 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

6.0ms	(*.f64 a (+.f64 b c))
7.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

series19.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 a (+.f64 b c))
12.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

simplify54.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune38.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

5.0ms	(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
7.0ms	(*.f64 a (+.f64 c d))

series19.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
8.0ms	(*.f64 a (+.f64 c d))

simplify43.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5131	319

prune36.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
0.0b	(*.f64 (+.f64 b c) (+.f64 b c))
0.5b	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
6.2b	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64`
8×	`distribute-lft-out_binary64` `associate-r_binary64`
7×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
6×	`flip3-+_binary64` `associate-/r_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `associate-r/_binary64` `times-frac_binary64` `flip-+_binary64` `associate--l+_binary64`
4×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `frac-times_binary64`
3×	`sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

4 → 112

Calls

4 calls:

10.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
9.0ms	(*.f64 (+.f64 b c) (+.f64 b c))
13.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
19.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

series116.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (.f64 d d))
4.0ms	(*.f64 (+.f64 b c) (+.f64 b c))
44.0ms	(.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d)))
49.0ms	(/.f64 (.f64 a (-.f64 (.f64 (+.f64 b c) (+.f64 b c)) (*.f64 d d))) (-.f64 (+.f64 b c) d))

simplify52.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5015	1409

prune84.0ms

Filtered

79 candidates to 124 candidates (-57.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	124	4	128

Merged error: 0b

Counts

128 → 4

regimes384.0ms

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	7
1	10	7

end0.0ms

sample673.0ms

Algorithm

intervals

Results

302.0ms	8000×	pre	80	true
191.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample24.0ms

simplify5.0ms

prune8.0ms

localize6.0ms

rewrite9.0ms

series11.0ms

simplify44.0ms

prune31.0ms

localize8.0ms

rewrite14.0ms

series19.0ms

simplify54.0ms

prune38.0ms

localize6.0ms

rewrite12.0ms

series19.0ms

simplify43.0ms

prune36.0ms

localize10.0ms

rewrite55.0ms

series116.0ms

simplify52.0ms

prune84.0ms

regimes384.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample673.0ms

Profiling