Details

sample162.0ms

Algorithm

intervals

Results

39.0ms	77×	body	5120	valid
30.0ms	446×	body	80	nan
23.0ms	59×	body	2560	valid
12.0ms	192×	body	80	valid
8.0ms	27×	body	1280	valid
8.0ms	15×	body	10240	exit
4.0ms	18×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	4×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 61.5b

localize19.0ms

Local error

Found 4 expressions with local error:

18.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite343.0ms

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)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
283.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
240.0ms	(+ (/ (* 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

prune381.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 34.7b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ 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)

simplify282.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (278.0ms)

Iter	Nodes	Cost
0	178	58
1	1734	24
2	5001	14

prune73.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 32.0b

localize1.0ms

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

prune14.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.0b

localize26.0ms

Local error

Found 4 expressions with local error:

18.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
28.3b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

rewrite867.0ms

Algorithm

rewrite-expression-head

Rules

373×	`add-exp-log`
246×	`prod-exp`
235×	`add-cbrt-cube`
138×	`cbrt-unprod`
60×	`div-exp`
45×	`cbrt-undiv`
15×	`rec-exp` `1-exp`
13×	`pow1`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r`
6×	`times-frac` `pow-prod-down` `add-log-exp`
5×	`fma-def`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`frac-2neg` `sqrt-div` `frac-add` `clear-num` `associate-/r` `associate-/l`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 200

Calls

4 calls:

16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
74.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
747.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
239.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

simplify44.0ms

Algorithm

egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	1039	2649
1	5002	1906

prune328.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.0b

regimes291.0ms

Accuracy

0% (2.3b remaining)

Error of 33.5b against oracle of 31.2b 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

sample4.7s

Algorithm

intervals

Results

1.1s	2299×	body	5120	valid
830.0ms	13380×	body	80	nan
676.0ms	1741×	body	2560	valid
429.0ms	6860×	body	80	valid
304.0ms	578×	body	10240	exit
281.0ms	886×	body	1280	valid
110.0ms	447×	body	640	valid
45.0ms	236×	body	320	valid
14.0ms	113×	body	160	valid