Details

sample290.0ms

Algorithm

intervals

Results

50.0ms	82×	body	5120	valid
36.0ms	441×	body	80	nan
29.0ms	53×	body	2560	valid
22.0ms	222×	body	80	valid
14.0ms	22×	body	5120	exit
7.0ms	17×	body	1280	valid
6.0ms	18×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	5×	body	160	valid

simplify107.0ms

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: 59.1b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

Calls

4 calls:

12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* 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))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2159
1	3786	1523
2	5001	1523

prune151.0ms

Filtered

56 candidates to 155 candidates (-176.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Merged error: 33.1b

Counts

156 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

7.2b	(* (/ 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)

simplify287.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (283.0ms)

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

prune63.0ms

Filtered

19 candidates to 31 candidates (-63.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	31	7	38

Merged error: 30.7b

Counts

38 → 7

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

prune32.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 30.7b

Counts

7 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-log-exp`
6×	`sqrt-div` `frac-add`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 85

Calls

4 calls:

12.0ms	(/ (* c0 (* d d)) (* (* 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))))
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))))
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))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* c0 (* d d)) (* (* 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))))
99.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify122.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	579	2389
1	3786	2041
2	5001	2041

prune106.0ms

Filtered

56 candidates to 97 candidates (-73.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 30.7b

Counts

104 → 7

regimes886.0ms

Accuracy

0% (2.4b remaining)

Error of 33.4b against oracle of 31.0b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample6.4s

Algorithm

intervals

Results

1.4s	2318×	body	5120	valid
1.1s	13228×	body	80	nan
898.0ms	1757×	body	2560	valid
578.0ms	6731×	body	80	valid
384.0ms	576×	body	5120	exit
358.0ms	864×	body	1280	valid
142.0ms	438×	body	640	valid
55.0ms	218×	body	320	valid
23.0ms	133×	body	160	valid

Details

sample290.0ms

simplify107.0ms

prune5.0ms

localize22.0ms

rewrite81.0ms

series186.0ms

simplify126.0ms

prune151.0ms

localize5.0ms

rewrite7.0ms

series1.0ms

simplify287.0ms

prune63.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune32.0ms

localize33.0ms

rewrite115.0ms

series321.0ms

simplify122.0ms

prune106.0ms

regimes886.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

Profiling