Details

sample166.0ms

Algorithm

intervals

Results

35.0ms	72×	body	5120	valid
26.0ms	422×	body	80	nan
24.0ms	60×	body	2560	valid
13.0ms	209×	body	80	valid
12.0ms	23×	body	10240	exit
11.0ms	35×	body	1280	valid
7.0ms	16×	body	640	valid
1.0ms	7×	body	320	valid

simplify109.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize23.0ms

Local error

Found 4 expressions with local error:

20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite86.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
247.0ms	(+ (/ (* 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

155 → 155

Iterations

Useful iterations: 1 (17.0ms)

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

prune300.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.3b

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ 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×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

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

31 → 31

Iterations

Useful iterations: 2 (283.0ms)

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

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 30.0b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 30.0b

localize22.0ms

Local error

Found 4 expressions with local error:

20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.9b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
31.8b	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite84.0ms

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:

14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
11.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
33.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series536.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
246.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify43.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	802	2195
1	5002	1574

prune273.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 29.7b

regimes399.0ms

Accuracy

51.9% (1.5b remaining)

Error of 32.1b against oracle of 30.6b and baseline of 33.7b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	53
1	33	53

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2304×	body	5120	valid
791.0ms	13091×	body	80	nan
694.0ms	1759×	body	2560	valid
423.0ms	6712×	body	80	valid
294.0ms	561×	body	10240	exit
287.0ms	895×	body	1280	valid
102.0ms	413×	body	640	valid
41.0ms	218×	body	320	valid
14.0ms	117×	body	160	valid