Details

sample160.0ms

Algorithm

intervals

Results

30.0ms	64×	body	5120	valid
28.0ms	439×	body	80	nan
21.0ms	56×	body	2560	valid
13.0ms	22×	body	10240	exit
13.0ms	216×	body	80	valid
9.0ms	28×	body	1280	valid
3.0ms	13×	body	640	valid
2.0ms	11×	body	320	valid
0.0ms	4×	body	160	valid

simplify106.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 59.3b

localize19.0ms

Local error

Found 4 expressions with local error:

20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite85.0ms

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:

14.0ms	(/ (* 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)))
36.0ms	(+ (/ (* 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:

90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* 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

168 → 168

Iterations

Useful iterations: 2 (105.0ms)

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

prune358.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 31.4b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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:

7.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify286.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (281.0ms)

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

prune74.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 28.7b

localize1.0ms

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

prune13.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 28.7b

localize21.0ms

Local error

Found 4 expressions with local error:

20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.0b	(+ (* 1 (/ (* c0 (* d d)) (* (* w h) (* D D)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`*-un-lft-identity`
4×	`pow1` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `log1p-expm1-u`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `associate-*r/` `frac-add`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 152

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)))
35.0ms	(+ (* 1 (/ (* 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)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
240.0ms	(+ (* 1 (/ (* c0 (* d d)) (* (* w h) (* D D)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify150.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	617	2265
1	4273	1600
2	5001	1591

prune281.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 28.7b

regimes301.0ms

Accuracy

0% (2.2b remaining)

Error of 33.6b against oracle of 31.4b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	0

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.1s	2332×	body	5120	valid
799.0ms	12989×	body	80	nan
671.0ms	1720×	body	2560	valid
429.0ms	6767×	body	80	valid
287.0ms	546×	body	10240	exit
269.0ms	873×	body	1280	valid
115.0ms	474×	body	640	valid
44.0ms	242×	body	320	valid
15.0ms	121×	body	160	valid