Details

analyze3.0ms

Algorithm

Search

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

sample29.0ms

Algorithm

intervals

Results

14.0ms	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

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 b c) d)
0.1b	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(+.f64 (+.f64 b c) d)
9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (+.f64 b c) d)
9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))

simplify51.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4996	340
1	4996	340

prune31.0ms

Filtered

28 candidates to 45 candidates (-60.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	4	46

Merged error: 0.0b

Counts

46 → 4

localize6.0ms

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))

series16.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 a (+.f64 b c))
10.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

simplify53.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune29.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:

6.0ms	(*.f64 a (+.f64 c d))
5.0ms	(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(*.f64 a (+.f64 c d))
10.0ms	(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))

simplify40.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5131	319

prune23.0ms

Filtered

30 candidates to 43 candidates (-43.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0.0b

Counts

47 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.0b	(sqrt.f64 (+.f64 (+.f64 b c) d))
0.1b	(.f64 a (.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d))))
0.5b	(*.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64`
48×	`sqrt-prod_binary64`
30×	`distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
28×	`sqrt-div_binary64`
26×	`pow1_binary64`
16×	`swap-sqr_binary64`
15×	`add-cube-cbrt_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
12×	`associate-*r/_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`associate-r_binary64`
8×	`frac-times_binary64`
6×	`pow-prod-down_binary64`
5×	`pow-prod-up_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`pow-sqr_binary64`
2×	`rem-sqrt-square_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 130

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
18.0ms	(.f64 a (.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d))))
16.0ms	(*.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
10.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
25.0ms	(.f64 a (.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d))))
17.0ms	(*.f64 (sqrt.f64 (+.f64 (+.f64 b c) d)) (sqrt.f64 (+.f64 (+.f64 b c) d)))

simplify51.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4968	1373
1	4968	1373

prune39.0ms

Filtered

78 candidates to 142 candidates (-82.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	141	5	146

Merged error: 0b

Counts

146 → 5

regimes346.0ms

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	12	9
1	12	9

end0.0ms

sample685.0ms

Algorithm

intervals

Results

302.0ms	8000×	pre	80	true
192.0ms	8000×	body	80	valid

Details

analyze3.0ms

sample29.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite15.0ms

series14.0ms

simplify51.0ms

prune31.0ms

localize6.0ms

rewrite14.0ms

series16.0ms

simplify53.0ms

prune29.0ms

localize6.0ms

rewrite11.0ms

series17.0ms

simplify40.0ms

prune23.0ms

localize7.0ms

rewrite51.0ms

series62.0ms

simplify51.0ms

prune39.0ms

regimes346.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample685.0ms

Profiling