Details

sample164.0ms

Algorithm

intervals

Results

39.0ms	76×	body	5120	valid
24.0ms	424×	body	80	nan
18.0ms	52×	body	2560	valid
14.0ms	243×	body	80	valid
7.0ms	26×	body	1280	valid
4.0ms	8×	body	10240	exit
4.0ms	19×	body	640	valid
2.0ms	10×	body	320	valid
0.0ms	4×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.5b

localize19.0ms

Local error

Found 4 expressions with local error:

19.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b	(/ (* 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))))

rewrite759.0ms

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:

43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
620.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series566.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
264.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify130.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (112.0ms)

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

prune376.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 31.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite27.0ms

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:

26.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify288.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (284.0ms)

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

prune63.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 29.3b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 29.3b

localize31.0ms

Local error

Found 4 expressions with local error:

27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
38.4b	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite715.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-div`
15×	`cbrt-prod`
14×	`sqrt-div` `frac-add`
10×	`frac-times` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`times-frac` `pow1/3` `div-inv`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

4 → 76

Calls

4 calls:

30.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
30.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
29.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
623.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series866.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
187.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
188.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
306.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify80.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	497	3055
1	1791	2800
2	5001	2727

prune460.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 29.3b

regimes307.0ms

Accuracy

46.4% (1.2b remaining)

Error of 33.1b against oracle of 31.9b and baseline of 34.2b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	53
1	34	53

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.0s	2290×	body	5120	valid
757.0ms	13021×	body	80	nan
603.0ms	1660×	body	2560	valid
405.0ms	6783×	body	80	valid
287.0ms	569×	body	10240	exit
275.0ms	941×	body	1280	valid
101.0ms	441×	body	640	valid
40.0ms	239×	body	320	valid
14.0ms	125×	body	160	valid