Details

analyze48.0ms

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

sample13.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	950	9
1	950	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.0b	(* (- x (/ 16.0 116.0)) 3.0)
0.2b	(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`associate-l`
6×	`add-cube-cbrt` `associate-r` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`times-frac` `*-commutative` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

6.0ms	(- x (/ 16.0 116.0))
9.0ms	(* (- x (/ 16.0 116.0)) 3.0)
10.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

series11.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(- x (/ 16.0 116.0))
4.0ms	(* (- x (/ 16.0 116.0)) 3.0)
5.0ms	(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5099	586

prune92.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 16.0 116.0))
0.3b	(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-l`
4×	`add-log-exp` `difference-of-squares`
3×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `times-frac` `associate-*l/` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `associate-r` `*-commutative`

Counts

2 → 37

Calls

2 calls:

6.0ms	(- x (/ 16.0 116.0))
10.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

series8.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(- x (/ 16.0 116.0))
6.0ms	(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify31.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5099	401

prune61.0ms

Filtered

25 candidates to 43 candidates (-72.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	41	9	50

Merged error: 0.0b

Counts

50 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
0.6b	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
9.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))) (cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y))))
23.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))
21.0ms	(cbrt (* (- x (/ 16.0 116.0)) (* 3.0 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4967	1624
1	4967	1624

prune232.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	83	10	93

Merged error: 0b

Counts

93 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
0.8b	(cbrt (- x (/ 16.0 116.0)))
0.8b	(cbrt (- x (/ 16.0 116.0)))
0.8b	(cbrt (- x (/ 16.0 116.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

17.0ms	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
6.0ms	(cbrt (- x (/ 16.0 116.0)))
6.0ms	(cbrt (- x (/ 16.0 116.0)))
8.0ms	(cbrt (- x (/ 16.0 116.0)))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (cbrt (- x (/ 16.0 116.0))) (cbrt (- x (/ 16.0 116.0))))
8.0ms	(cbrt (- x (/ 16.0 116.0)))
8.0ms	(cbrt (- x (/ 16.0 116.0)))
8.0ms	(cbrt (- x (/ 16.0 116.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5062	1716

prune270.0ms

Filtered

92 candidates to 119 candidates (-29.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	120	9	129

Merged error: 0b

Counts

129 → 9

regimes286.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample347.0ms

Algorithm

intervals

Results

219.0ms	8000×	body	80	valid
2.0ms	71×	body	80	invalid

Details

analyze48.0ms

sample13.0ms

simplify43.0ms

prune11.0ms

localize6.0ms

rewrite26.0ms

series11.0ms

simplify45.0ms

prune92.0ms

localize6.0ms

rewrite17.0ms

series8.0ms

simplify31.0ms

prune61.0ms

localize12.0ms

rewrite36.0ms

series100.0ms

simplify60.0ms

prune232.0ms

localize10.0ms

rewrite41.0ms

series33.0ms

simplify41.0ms

prune270.0ms

regimes286.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample347.0ms

Profiling