Details

analyze65.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune3.0ms

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
0.0b	(+.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 0.918938533204673)
0.0b	(*.f64 x (-.f64 y 1.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`sub-neg_binary64`
5×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate--l+_binary64`
3×	`associate-+l+_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
2×	`flip3--_binary64` `diff-log_binary64` `associate-*r/_binary64` `flip--_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

3 → 54

Calls

3 calls:

7.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
10.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 0.918938533204673)
7.0ms	(*.f64 x (-.f64 y 1.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
6.0ms	(+.f64 (-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5)) 0.918938533204673)
6.0ms	(*.f64 x (-.f64 y 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5206	636

prune69.0ms

Filtered

47 candidates to 63 candidates (-34.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Merged error: 0b

Counts

64 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (-.f64 0.918938533204673 (+.f64 (.f64 y 0.5) (*.f64 x 1.0))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`diff-log_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `associate-+r-_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 15

Calls

1 calls:

10.0ms

(+.f64 (*.f64 x y) (-.f64 0.918938533204673 (+.f64 (*.f64 y 0.5) (*.f64 x 1.0))))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 (*.f64 x y) (-.f64 0.918938533204673 (+.f64 (*.f64 y 0.5) (*.f64 x 1.0))))

simplify41.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5323	251

prune28.0ms

Filtered

14 candidates to 18 candidates (-28.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) 0.918938533204673)
0.0b	(-.f64 (+.f64 (.f64 x y) 0.918938533204673) (+.f64 (.f64 y 0.5) (*.f64 x 1.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64` `sum-log_binary64`
4×	`*-un-lft-identity_binary64` `diff-log_binary64` `add-sqr-sqrt_binary64` `frac-sub_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
1×	`sub-neg_binary64` `associate--r+_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

2 → 33

Calls

2 calls:

4.0ms	(+.f64 (*.f64 x y) 0.918938533204673)
11.0ms	(-.f64 (+.f64 (.f64 x y) 0.918938533204673) (+.f64 (.f64 y 0.5) (*.f64 x 1.0)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+.f64 (*.f64 x y) 0.918938533204673)
6.0ms	(-.f64 (+.f64 (.f64 x y) 0.918938533204673) (+.f64 (.f64 y 0.5) (*.f64 x 1.0)))

simplify23.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5072	683

prune43.0ms

Filtered

30 candidates to 39 candidates (-30.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series118.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
29.0ms	(cbrt.f64 x)
29.0ms	(cbrt.f64 x)
30.0ms	(cbrt.f64 x)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune76.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes183.0ms

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	74	13
1	74	13

end0.0ms

sample369.0ms

Algorithm

intervals

Results

235.0ms	7998×	body	80	valid
2.0ms	79×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze65.0ms

sample18.0ms

simplify27.0ms

prune3.0ms

localize7.0ms

rewrite26.0ms

series18.0ms

simplify48.0ms

prune69.0ms

localize8.0ms

rewrite11.0ms

series6.0ms

simplify41.0ms

prune28.0ms

localize8.0ms

rewrite16.0ms

series10.0ms

simplify23.0ms

prune43.0ms

localize11.0ms

rewrite12.0ms

series118.0ms

simplify45.0ms

prune76.0ms

regimes183.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample369.0ms

Profiling