Details

sample165.0ms

Algorithm

intervals

Results

38.0ms	79×	body	5120	valid
25.0ms	53×	body	2560	valid
24.0ms	392×	body	80	nan
13.0ms	207×	body	80	valid
11.0ms	36×	body	1280	valid
10.0ms	18×	body	10240	exit
5.0ms	22×	body	640	valid
1.0ms	6×	body	320	valid
0.0ms	2×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	26
1	304	25
2	3462	25
3	5003	25

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize20.0ms

Local error

Found 4 expressions with local error:

15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite355.0ms

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`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
293.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series529.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* 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)))
242.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify129.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (108.0ms)

Iter	Nodes	Cost
0	594	2246
1	3877	1589
2	5001	1584

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 33.2b

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite12.0ms

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

11.0ms

(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

(* (/ c0 (* 2.0 w)) 0)

simplify288.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	178	40
1	1861	24
2	5001	14

prune95.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.3b

localize2.0ms

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

prune37.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.3b

localize23.0ms

Local error

Found 4 expressions with local error:

15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.8b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite500.0ms

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`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

19.0ms	(/ (* 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)))
438.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series547.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
105.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
247.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify48.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	799	2306
1	5002	1638

prune336.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.3b

regimes519.0ms

Accuracy

0% (2.3b remaining)

Error of 33.5b against oracle of 31.1b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	4	1

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.2s	2343×	body	5120	valid
828.0ms	13215×	body	80	nan
692.0ms	1738×	body	2560	valid
441.0ms	6658×	body	80	valid
326.0ms	597×	body	10240	exit
272.0ms	849×	body	1280	valid
122.0ms	486×	body	640	valid
43.0ms	235×	body	320	valid
13.0ms	111×	body	160	valid