Details

sample319.0ms

Algorithm

intervals

Results

74.0ms	81×	body	5120	valid
66.0ms	497×	body	80	nan
45.0ms	60×	body	2560	valid
29.0ms	238×	body	80	valid
27.0ms	28×	body	10240	exit
17.0ms	28×	body	1280	valid
7.0ms	15×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	4×	body	160	valid

simplify99.0ms

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.5b

localize20.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite345.0ms

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:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
282.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series224.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
36.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
116.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify119.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.1b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(* (/ 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)

simplify282.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (277.0ms)

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

prune221.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 29.8b

localize3.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 29.8b

localize30.0ms

Local error

Found 4 expressions with local error:

17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.2b	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
29.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* (pow d 2) c0) (* w (* (pow D 2) h)))) (* M M))))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-exp-log`
163×	`add-cbrt-cube`
121×	`prod-exp`
87×	`cbrt-unprod`
50×	`div-exp`
36×	`cbrt-undiv`
9×	`pow-to-exp` `pow-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 → 139

Calls

4 calls:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
10.0ms	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
230.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* (pow d 2) c0) (* w (* (pow D 2) h)))) (* M M))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.0ms	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
115.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* (pow d 2) c0) (* w (* (pow D 2) h)))) (* M M))))

simplify39.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	806	1914
1	5002	1481

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 29.6b

regimes1.9s

Accuracy

0% (2.4b remaining)

Error of 33.8b against oracle of 31.4b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

end0.0ms

sample8.6s

Algorithm

intervals

Results

2.2s	2308×	body	5120	valid
1.7s	13368×	body	80	nan
1.3s	1736×	body	2560	valid
885.0ms	6919×	body	80	valid
638.0ms	651×	body	10240	exit
569.0ms	895×	body	1280	valid
213.0ms	427×	body	640	valid
74.0ms	196×	body	320	valid
26.0ms	106×	body	160	valid