Details

analyze7.0ms

Algorithm

Search

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

sample25.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	43	10
1	43	10

prune1.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(*.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))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify71.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5027	312

prune18.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

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

series82.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
32.0ms	(*.f64 a (+.f64 b c))

simplify63.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5004	471

prune24.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Merged error: 0.0b

Counts

46 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
15×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `associate-r_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
3×	`distribute-lft-out_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 107

Calls

4 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
7.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
7.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
18.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
169.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
169.0ms	(sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))
32.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))

simplify49.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5836	1823

prune56.0ms

Filtered

70 candidates to 119 candidates (-70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

270×	`sqrt-pow1_binary64`
225×	`pow1_binary64`
122×	`sqrt-div_binary64`
93×	`pow-prod-up_binary64`
86×	`associate-*r/_binary64`
78×	`pow-prod-down_binary64`
69×	`pow1/2_binary64`
37×	`sqrt-prod_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
32×	`frac-times_binary64`
31×	`add-sqr-sqrt_binary64`
25×	`pow-sqr_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`swap-sqr_binary64` `associate-*l/_binary64`
8×	`associate-r_binary64`
5×	`unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`sqrt-unprod_binary64`
2×	`rem-sqrt-square_binary64` `*-commutative_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `pow2_binary64`

Counts

4 → 216

Calls

4 calls:

8.0ms	(sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
8.0ms	(sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
41.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d)))) (sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))))
22.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d)))) (sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))))

series444.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
114.0ms	(sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))
34.0ms	(.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d)))) (sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d))))))
177.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 a (+.f64 (+.f64 b c) d)))) (sqrt.f64 (sqrt.f64 (*.f64 a (+.f64 (+.f64 b c) d)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4949	4148
1	4949	4148

prune93.0ms

Filtered

101 candidates to 228 candidates (-125.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	228	0	228
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	228	4	232

Merged error: 0b

Counts

232 → 4

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample670.0ms

Algorithm

intervals

Results

303.0ms	8000×	pre	80	true
181.0ms	8000×	body	80	valid

Details

analyze7.0ms

sample25.0ms

simplify12.0ms

prune1.0ms

localize10.0ms

rewrite9.0ms

series30.0ms

simplify71.0ms

prune18.0ms

localize9.0ms

rewrite13.0ms

series82.0ms

simplify63.0ms

prune24.0ms

localize8.0ms

rewrite44.0ms

series397.0ms

simplify49.0ms

prune56.0ms

localize10.0ms

rewrite94.0ms

series444.0ms

simplify100.0ms

prune93.0ms

regimes92.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample670.0ms

Profiling