Details

sample161.0ms

Algorithm

intervals

Results

42.0ms	79×	body	5120	valid
25.0ms	359×	body	80	nan
23.0ms	59×	body	2560	valid
11.0ms	181×	body	80	valid
10.0ms	31×	body	1280	valid
10.0ms	18×	body	10240	exit
3.0ms	12×	body	640	valid
1.0ms	5×	body	320	valid
1.0ms	4×	body	160	valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	26
1	304	25
2	3462	25
3	5003	25

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.4b

localize20.0ms

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)))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

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)))
38.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
252.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify134.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	594	2246
1	3877	1589
2	5001	1584

prune404.0ms

Filtered

168 candidates to 70 candidates (41.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.1b

localize5.0ms

Local error

Found 1 expressions with local error:

8.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify294.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (289.0ms)

Iter	Nodes	Cost
0	178	40
1	1861	24
2	5001	14

prune86.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.4b

localize2.0ms

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

prune21.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.4b

localize22.0ms

Local error

Found 4 expressions with local error:

15.2b	(/ (* (* w h) (* D D)) (* d d))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 146

Calls

4 calls:

12.0ms	(/ (* (* w h) (* D D)) (* d d))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
38.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

series522.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (* (* w h) (* D D)) (* d d))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
252.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

simplify158.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	732	2080
1	4660	1474
2	5001	1474

prune326.0ms

Filtered

158 candidates to 67 candidates (42.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 32.4b

regimes378.0ms

Accuracy

0% (2.3b remaining)

Error of 33.9b against oracle of 31.5b and baseline of 33.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	4	1

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2267×	body	5120	valid
812.0ms	13044×	body	80	nan
711.0ms	1753×	body	2560	valid
433.0ms	6736×	body	80	valid
322.0ms	608×	body	10240	exit
292.0ms	918×	body	1280	valid
114.0ms	457×	body	640	valid
43.0ms	214×	body	320	valid
13.0ms	104×	body	160	valid