Details

sample186.0ms

Algorithm

intervals

Results

46.0ms	78×	body	5120	valid
33.0ms	399×	body	80	nan
29.0ms	63×	body	2560	valid
16.0ms	205×	body	80	valid
10.0ms	16×	body	5120	exit
9.0ms	24×	body	1280	valid
5.0ms	16×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	1×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune4.0ms

Filtered

1 candidates to 0 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: 60.2b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

17.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite84.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
247.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify131.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (17.0ms)

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

prune291.0ms

Filtered

155 candidates to 56 candidates (36.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	8	156

Merged error: 29.4b

Counts

156 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

3.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite11.0ms

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:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify286.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (282.0ms)

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

prune71.0ms

Filtered

31 candidates to 19 candidates (61.3%)

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: 28.3b

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

prune28.0ms

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: 28.3b

Counts

8 → 8

localize31.0ms

Local error

Found 4 expressions with local error:

17.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
30.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-div` `frac-add`
2×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 114

Calls

4 calls:

14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
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))))
34.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series886.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
243.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
455.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify128.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	579	2274
1	3786	1782
2	5001	1782

prune317.0ms

Filtered

126 candidates to 56 candidates (44.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	126	8	134

Merged error: 28.3b

Counts

134 → 8

regimes428.0ms

Accuracy

0% (2.3b remaining)

Error of 33.5b against oracle of 31.2b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.3s	2229×	body	5120	valid
1.0s	13127×	body	80	nan
817.0ms	1758×	body	2560	valid
540.0ms	6905×	body	80	valid
351.0ms	576×	body	5120	exit
340.0ms	897×	body	1280	valid
133.0ms	443×	body	640	valid
53.0ms	239×	body	320	valid
16.0ms	109×	body	160	valid