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

sample24.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	950	9
1	950	9

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
0.1b	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`associate-r_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` `difference-of-squares_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`

Counts

2 → 43

Calls

2 calls:

9.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
7.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

simplify71.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4987	444
1	4987	444

prune57.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 3.0 y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
4×	`*-un-lft-identity_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `difference-of-squares_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 3.0 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 3.0 y))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5144	259

prune37.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	24	8	32

Merged error: 0b

Counts

32 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

0.1b

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

0.8b

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

rewrite51.0ms

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`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-l_binary64`
7×	`add-cube-cbrt_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`difference-of-squares_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`

Counts

3 → 76

Calls

3 calls:

14.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

18.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

16.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

series48.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

14.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

19.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	847
1	4967	847

prune75.0ms

Filtered

49 candidates to 85 candidates (-73.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

0.4b

(*.f64 (cbrt.f64 3.0) y)

0.5b

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*l/_binary64`
5×	`associate-r_binary64`
4×	`cbrt-prod_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`distribute-lft-out--_binary64` `times-frac_binary64`

Counts

3 → 76

Calls

3 calls:

14.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

4.0ms

(*.f64 (cbrt.f64 3.0) y)

17.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

series36.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

6.0ms

(*.f64 (cbrt.f64 3.0) y)

14.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5002	755

prune71.0ms

Filtered

48 candidates to 85 candidates (-77.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes231.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample341.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
2.0ms	77×	body	80	invalid

Details

analyze55.0ms

sample24.0ms

simplify57.0ms

prune3.0ms

localize6.0ms

rewrite21.0ms

series12.0ms

simplify71.0ms

prune57.0ms

localize6.0ms

rewrite11.0ms

series7.0ms

simplify35.0ms

prune37.0ms

localize9.0ms

rewrite51.0ms

series48.0ms

simplify52.0ms

prune75.0ms

localize11.0ms

rewrite38.0ms

series36.0ms

simplify57.0ms

prune71.0ms

regimes231.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample341.0ms

Profiling