Details

analyze55.0ms

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
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	47	7
1	47	7

prune6.0ms

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64` `associate-l_binary64` `associate-*l/_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 42

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 4/29) 3)
8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(*.f64 (-.f64 x 4/29) 3)
6.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4888	338
1	4888	338

prune44.0ms

Filtered

29 candidates to 48 candidates (-65.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	38	10	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	11	49

Merged error: 0b

Counts

49 → 11

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 22

Calls

1 calls:

9.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

simplify27.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5173	197

prune27.0ms

Filtered

13 candidates to 25 candidates (-92.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	25	11	36

Merged error: 0b

Counts

36 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

0.2b

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

0.7b

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
12×	`associate-*l/_binary64`
10×	`associate-r_binary64` `add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64` `associate-l_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 75

Calls

3 calls:

11.0ms

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

16.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

14.0ms

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

series40.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms

(*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

12.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)

14.0ms

(*.f64 (*.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4913	659
1	4913	659

prune50.0ms

Filtered

43 candidates to 84 candidates (-95.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	11	95

Merged error: 0b

Counts

95 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(*.f64 (-.f64 x 4/29) (sqrt.f64 3))
0.2b	(.f64 (.f64 (*.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3)) y)
0.8b	(.f64 (.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-r_binary64` `add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
11×	`*-un-lft-identity_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`add-cube-cbrt_binary64`
7×	`associate-l_binary64` `sqrt-prod_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 72

Calls

3 calls:

8.0ms	(*.f64 (-.f64 x 4/29) (sqrt.f64 3))
13.0ms	(.f64 (.f64 (*.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3)) y)
10.0ms	(.f64 (.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3))

series36.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 (-.f64 x 4/29) (sqrt.f64 3))
15.0ms	(.f64 (.f64 (*.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3)) y)
14.0ms	(.f64 (.f64 (-.f64 x 4/29) (sqrt.f64 3)) (sqrt.f64 3))

simplify52.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4979	590
1	4979	590

prune33.0ms

Filtered

40 candidates to 81 candidates (-102.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	4	3	7
Picked	0	1	1
Done	2	1	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes69.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	20
1	26	20

end0.0ms

sample383.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
2.0ms	79×	body	80	invalid

Details

analyze55.0ms

sample15.0ms

simplify7.0ms

prune6.0ms

localize5.0ms

rewrite17.0ms

series10.0ms

simplify61.0ms

prune44.0ms

localize5.0ms

rewrite10.0ms

series6.0ms

simplify27.0ms

prune27.0ms

localize8.0ms

rewrite46.0ms

series40.0ms

simplify60.0ms

prune50.0ms

localize7.0ms

rewrite34.0ms

series36.0ms

simplify52.0ms

prune33.0ms

regimes69.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample383.0ms

Profiling