Details

sample151.0ms

Algorithm

intervals

Results

31.0ms	66×	body	5120	valid
24.0ms	57×	body	2560	valid
22.0ms	366×	body	80	nan
14.0ms	27×	body	10240	exit
13.0ms	225×	body	80	valid
9.0ms	29×	body	1280	valid
3.0ms	13×	body	640	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize23.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite321.0ms

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)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* 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))))

series520.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
239.0ms	(+ (/ (* 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

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 39.2b

localize5.0ms

Local error

Found 1 expressions with local error:

6.7b	(* (/ 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)

simplify279.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	176	50
1	1732	16
2	5001	6

prune76.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 37.3b

localize1.0ms

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)

Merged error: 37.3b

localize21.0ms

Local error

Found 4 expressions with local error:

17.8b	(/ (* (* w h) (* D D)) (* d d))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.5b	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`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 → 133

Calls

4 calls:

13.0ms	(/ (* (* w h) (* D D)) (* d d))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
269.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series714.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (* (* w h) (* D D)) (* d d))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
446.0ms	(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify150.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	719	1988
1	4740	1426
2	5001	1426

prune253.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 36.6b

regimes474.0ms

Accuracy

0% (3.1b remaining)

Error of 33.7b against oracle of 30.6b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	2281×	body	5120	valid
760.0ms	12757×	body	80	nan
661.0ms	1719×	body	2560	valid
411.0ms	6766×	body	80	valid
288.0ms	557×	body	10240	exit
284.0ms	919×	body	1280	valid
111.0ms	460×	body	640	valid
37.0ms	214×	body	320	valid
14.0ms	117×	body	160	valid