Details

analyze2.0ms

Algorithm

Search

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

sample23.0ms

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

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

localize5.0ms

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.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

prune23.0ms

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

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))

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 a (+.f64 b c))
11.0ms	(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))

simplify53.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4966	321
1	4966	321

prune22.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 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))
0.3b	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
0.3b	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64`
21×	`sqrt-prod_binary64`
18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`associate-r_binary64`
13×	`pow1_binary64`
12×	`distribute-lft-out_binary64`
11×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 91

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
6.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
10.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
17.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
11.0ms	(sqrt.f64 (+.f64 (+.f64 b c) d))
21.0ms	(*.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d)))
29.0ms	(.f64 (.f64 a (sqrt.f64 (+.f64 (+.f64 b c) d))) (sqrt.f64 (+.f64 (+.f64 b c) d)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4939	1100
1	4939	1100

prune34.0ms

Filtered

65 candidates to 103 candidates (-58.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
0.5b	(pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3)
17.6b	(cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*r/_binary64`
5×	`associate-r_binary64`
4×	`cube-div_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `flip-+_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
9.0ms	(pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3))

series68.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
50.0ms	(pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3)
9.0ms	(cbrt.f64 (pow.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5137	714

prune28.0ms

Filtered

49 candidates to 76 candidates (-55.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	76	4	80

Merged error: 0b

Counts

80 → 4

regimes350.0ms

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

sample653.0ms

Algorithm

intervals

Results

299.0ms	8000×	pre	80	true
182.0ms	8000×	body	80	valid

Details

analyze2.0ms

sample23.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite9.0ms

series9.0ms

simplify44.0ms

prune23.0ms

localize6.0ms

rewrite14.0ms

series17.0ms

simplify53.0ms

prune22.0ms

localize7.0ms

rewrite41.0ms

series72.0ms

simplify51.0ms

prune34.0ms

localize8.0ms

rewrite23.0ms

series68.0ms

simplify34.0ms

prune28.0ms

regimes350.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample653.0ms

Profiling