Details

sample160.0ms

Algorithm

intervals

Results

33.0ms	71×	body	5120	valid
29.0ms	439×	body	80	nan
21.0ms	57×	body	2560	valid
13.0ms	215×	body	80	valid
10.0ms	19×	body	10240	exit
9.0ms	30×	body	1280	valid
2.0ms	10×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify107.0ms

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.2b

localize19.0ms

Local error

Found 4 expressions with local error:

17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms

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)))
16.0ms	(/ (* 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))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* 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))))

simplify131.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (109.0ms)

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

prune573.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.4b

localize5.0ms

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×	`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:

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

33 → 33

Iterations

Useful iterations: 2 (282.0ms)

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

prune79.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 30.8b

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

prune18.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 30.8b

localize25.0ms

Local error

Found 4 expressions with local error:

26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
26.8b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
30.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`fma-def`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `times-frac` `add-cbrt-cube` `log1p-expm1-u` `div-inv`
3×	`cbrt-div` `pow1/3`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 69

Calls

4 calls:

9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
41.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

series792.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
169.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
168.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
285.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

simplify74.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	378	1867
1	1906	1669
2	5001	1661

prune475.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 30.8b

regimes404.0ms

Accuracy

0% (2.3b remaining)

Error of 33.7b against oracle of 31.4b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2275×	body	5120	valid
824.0ms	12991×	body	80	nan
700.0ms	1771×	body	2560	valid
433.0ms	6794×	body	80	valid
327.0ms	611×	body	10240	exit
287.0ms	871×	body	1280	valid
107.0ms	436×	body	640	valid
41.0ms	222×	body	320	valid
13.0ms	106×	body	160	valid