Details

sample173.0ms

Algorithm

intervals

Results

36.0ms	66×	body	5120	valid
26.0ms	440×	body	80	nan
20.0ms	56×	body	2560	valid
12.0ms	205×	body	80	valid
12.0ms	23×	body	10240	exit
9.0ms	31×	body	1280	valid
4.0ms	17×	body	640	valid
1.0ms	7×	body	160	valid
1.0ms	5×	body	320	valid

simplify104.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.1b

localize26.0ms

Local error

Found 4 expressions with local error:

19.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.8b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite716.0ms

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:

41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
585.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series494.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
84.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
85.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
236.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (107.0ms)

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

prune380.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.6b

localize5.0ms

Local error

Found 1 expressions with local error:

7.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite27.0ms

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:

26.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify285.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (281.0ms)

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

prune75.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 32.0b

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

prune21.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 32.0b

localize29.0ms

Local error

Found 4 expressions with local error:

19.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.1b	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
26.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite549.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-exp-log`
163×	`add-cbrt-cube`
121×	`prod-exp`
87×	`cbrt-unprod`
50×	`div-exp`
36×	`cbrt-undiv`
9×	`pow-to-exp` `pow-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 → 152

Calls

4 calls:

40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.0ms	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
435.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
64.0ms	(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
221.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify44.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	824	2019
1	5002	1552

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.0b

regimes307.0ms

Accuracy

0% (2.1b remaining)

Error of 33.5b against oracle of 31.5b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.1s	2257×	body	5120	valid
794.0ms	13216×	body	80	nan
675.0ms	1796×	body	2560	valid
420.0ms	6853×	body	80	valid
312.0ms	610×	body	10240	exit
275.0ms	910×	body	1280	valid
116.0ms	484×	body	640	valid
35.0ms	203×	body	320	valid
13.0ms	108×	body	160	valid