Details

analyze14.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify640.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4811	6
1	4811	6

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 29.9b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (pow.f64 x 2.0) 2)
28.9b	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64` `associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`pow1_binary64` `associate-r_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `sqrt-prod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(*.f64 (pow.f64 x 2.0) 2)
16.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

series214.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(*.f64 (pow.f64 x 2.0) 2)
115.0ms	(sqrt.f64 (*.f64 (pow.f64 x 2.0) 2))

simplify69.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4935	288
1	4935	288

prune55.0ms

Filtered

30 candidates to 41 candidates (-36.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 14.5b

Counts

42 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 2))
28.9b	(sqrt.f64 (pow.f64 x 2.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

27×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
10×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
8×	`unswap-sqr_binary64`
6×	`associate-r_binary64`
5×	`sqr-pow_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/2_binary64` `rem-sqrt-square_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64`
1×	`cbrt-unprod_binary64` `sqrt-unprod_binary64` `sqrt-pow1_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

2 → 56

Calls

2 calls:

7.0ms	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 2))
5.0ms	(sqrt.f64 (pow.f64 x 2.0))

series197.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(*.f64 (sqrt.f64 (pow.f64 x 2.0)) (sqrt.f64 2))
95.0ms	(sqrt.f64 (pow.f64 x 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4895	543
1	4895	543

prune67.0ms

Filtered

41 candidates to 62 candidates (-51.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	5	0	5
Picked	1	0	1
Done	0	1	1
Total	62	7	69

Merged error: 0.2b

Counts

69 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (sqrt.f64 2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (sqrt.f64 2))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (sqrt.f64 2))

simplify52.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4929	262
1	4929	262

prune36.0ms

Filtered

15 candidates to 25 candidates (-66.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	5	0	5
Picked	0	1	1
Done	0	1	1
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b

(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

0.3b

(*.f64 (*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 46

Calls

2 calls:

8.0ms

(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

12.0ms

(*.f64 (*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series39.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms

(*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

7.0ms

(*.f64 (*.f64 (fabs.f64 (pow.f64 x (/.f64 2.0 2))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4891	609
1	4891	609

prune48.0ms

Filtered

32 candidates to 52 candidates (-62.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	52	6	58

Merged error: 0b

Counts

58 → 6

regimes38.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	18
1	13	18

end0.0ms

sample529.0ms

Algorithm

intervals

Results

424.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze14.0ms

sample21.0ms

simplify640.0ms

prune9.0ms

localize6.0ms

rewrite23.0ms

series214.0ms

simplify69.0ms

prune55.0ms

localize6.0ms

rewrite14.0ms

series197.0ms

simplify48.0ms

prune67.0ms

localize7.0ms

rewrite6.0ms

series9.0ms

simplify52.0ms

prune36.0ms

localize10.0ms

rewrite22.0ms

series39.0ms

simplify46.0ms

prune48.0ms

regimes38.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample529.0ms

Profiling