Details

sample3.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.585938%

Guaranteed chance to sample good point: 50.810413%

Results

46.0ms	75×	body	5120	valid
32.0ms	407×	body	80	nan
21.0ms	45×	body	2560	valid
15.0ms	24×	body	5120	exit
14.0ms	151×	body	80	invalid
11.0ms	30×	body	1280	valid
7.0ms	92×	body	80	valid
2.0ms	7×	body	320	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	1280	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune5.0ms

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: 57.5b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

16.0b	(* (* w h) (* D D))
16.0b	(* (* w h) (* D D))
16.0b	(* (* w h) (* D D))
26.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`associate-r` `associate-l` `*-commutative`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

7.0ms	(* (* w h) (* D D))
7.0ms	(* (* w h) (* D D))
9.0ms	(* (* w h) (* D D))
31.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (* w h) (* D D))
14.0ms	(* (* w h) (* D D))
14.0ms	(* (* w h) (* D D))
98.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	317	1001
1	1808	848
2	5002	848

prune130.0ms

Filtered

44 candidates to 92 candidates (-109.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 30.1b

Counts

93 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
3×	`pow1` `times-frac` `associate-r`
2×	`cbrt-undiv` `div-exp`
1×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

6.0ms

(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify291.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (286.0ms)

Iter	Nodes	Cost
0	176	32
1	1859	16
2	5001	6

prune65.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 28.2b

Counts

39 → 8

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune36.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Merged error: 28.2b

Counts

8 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

16.0b	(* (* w h) (* D D))
26.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
26.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity` `add-log-exp`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sqrt-div` `frac-add`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 64

Calls

4 calls:

7.0ms	(* (* w h) (* D D))
32.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
31.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
35.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* (* w h) (* D D))
95.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
95.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
97.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	317	2003
1	1808	1824
2	5002	1824

prune93.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	76	8	84

Merged error: 28.2b

Counts

84 → 8

regimes853.0ms

Accuracy

0% (3.1b remaining)

Error of 33.6b against oracle of 30.5b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample9.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.585938%

Guaranteed chance to sample good point: 50.810413%

Results

1.3s	2260×	body	5120	valid
1.0s	13081×	body	80	nan
786.0ms	1690×	body	2560	valid
355.0ms	564×	body	5120	exit
344.0ms	4272×	body	80	invalid
330.0ms	867×	body	1280	valid
208.0ms	2503×	body	80	valid
117.0ms	382×	body	640	valid
44.0ms	194×	body	320	valid
28.0ms	75×	body	1280	invalid
20.0ms	41×	body	2560	invalid
16.0ms	104×	body	160	valid
14.0ms	48×	body	640	invalid
7.0ms	31×	body	320	invalid
4.0ms	23×	body	160	invalid
1.0ms	2×	body	5120	invalid

Details

sample3.7s

simplify108.0ms

prune5.0ms

localize19.0ms

rewrite56.0ms

series140.0ms

simplify61.0ms

prune130.0ms

localize4.0ms

rewrite7.0ms

series1.0ms

simplify291.0ms

prune65.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune36.0ms

localize30.0ms

rewrite107.0ms

series302.0ms

simplify67.0ms

prune93.0ms

regimes853.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample9.4s

Profiling