Details

sample247.0ms

Algorithm

intervals

Results

59.0ms	80×	body	5120	valid
51.0ms	404×	body	80	nan
36.0ms	59×	body	2560	valid
24.0ms	197×	body	80	valid
19.0ms	22×	body	10240	exit
9.0ms	19×	body	1280	valid
8.0ms	19×	body	640	valid
3.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify110.0ms

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: 60.0b

localize22.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite340.0ms

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)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
279.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series510.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
235.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify134.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (112.0ms)

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

prune384.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.6b

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ 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×	`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:

10.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify289.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (284.0ms)

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

prune85.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.3b

localize3.0ms

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 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.3b

localize27.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite339.0ms

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)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
279.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series507.0ms

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)))
229.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify138.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (119.0ms)

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

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 31.3b

regimes369.0ms

Accuracy

0% (2.2b remaining)

Error of 33.8b against oracle of 31.6b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2
1	4	2

end0.0ms

sample7.3s

Algorithm

intervals

Results

1.7s	2261×	body	5120	valid
1.6s	12936×	body	80	nan
1.1s	1694×	body	2560	valid
831.0ms	6805×	body	80	valid
462.0ms	892×	body	1280	valid
446.0ms	558×	body	10240	exit
194.0ms	476×	body	640	valid
68.0ms	212×	body	320	valid
28.0ms	125×	body	160	valid