Details

sample307.0ms

Algorithm

intervals

Results

73.0ms	442×	body	80	nan
72.0ms	75×	body	5120	valid
39.0ms	220×	body	80	valid
35.0ms	45×	body	2560	valid
22.0ms	22×	body	10240	exit
15.0ms	23×	body	1280	valid
7.0ms	13×	body	640	valid
4.0ms	9×	body	320	valid
1.0ms	4×	body	160	valid

simplify106.0ms

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: 58.8b

localize19.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite340.0ms

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)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
281.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
237.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify125.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

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

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 34.2b

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)

simplify283.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (279.0ms)

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

prune82.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.1b

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

prune27.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 32.1b

localize25.0ms

Local error

Found 4 expressions with local error:

18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.5b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
28.5b	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite362.0ms

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`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `div-inv`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+`

Counts

4 → 144

Calls

4 calls:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
301.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series719.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
104.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
427.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify40.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	791	2257
1	5001	1583

prune286.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 31.4b

regimes297.0ms

Accuracy

0% (2.5b remaining)

Error of 33.2b against oracle of 30.6b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample9.5s

Algorithm

intervals

Results

2.3s	2349×	body	5120	valid
2.2s	13197×	body	80	nan
1.4s	1794×	body	2560	valid
1.1s	6747×	body	80	valid
596.0ms	596×	body	10240	exit
571.0ms	858×	body	1280	valid
238.0ms	443×	body	640	valid
88.0ms	213×	body	320	valid
34.0ms	121×	body	160	valid