Details

sample221.0ms

Algorithm

intervals

Results

53.0ms	492×	body	80	nan
42.0ms	71×	body	5120	valid
28.0ms	238×	body	80	valid
23.0ms	50×	body	2560	valid
18.0ms	25×	body	10240	exit
11.0ms	30×	body	1280	valid
5.0ms	16×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify104.0ms

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: 59.8b

localize19.0ms

Local error

Found 4 expressions with local error:

19.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite329.0ms

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:

16.0ms	(/ (* 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)))
272.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
241.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune332.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 34.6b

localize5.0ms

Local error

Found 1 expressions with local error:

7.7b	(* (/ 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)

simplify280.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (277.0ms)

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

prune90.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 33.1b

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

prune40.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 33.1b

localize21.0ms

Local error

Found 4 expressions with local error:

19.4b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
19.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.9b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.7b	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-exp-log` `add-cbrt-cube`
103×	`prod-exp` `cbrt-unprod`
56×	`cbrt-undiv` `div-exp`
9×	`times-frac`
8×	`*-un-lft-identity`
7×	`associate-/l*`
6×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

11.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
265.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (/ (* 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)))
244.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify38.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	802	2195
1	5001	1574

prune277.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 32.3b

regimes698.0ms

Accuracy

0% (3.0b remaining)

Error of 33.2b against oracle of 30.3b 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

sample6.2s

Algorithm

intervals

Results

1.5s	13443×	body	80	nan
1.3s	2275×	body	5120	valid
794.0ms	1705×	body	2560	valid
758.0ms	6815×	body	80	valid
363.0ms	934×	body	1280	valid
363.0ms	584×	body	10240	exit
148.0ms	462×	body	640	valid
59.0ms	245×	body	320	valid
21.0ms	118×	body	160	valid