Details

sample316.0ms

Algorithm

intervals

Results

80.0ms	74×	body	5120	valid
50.0ms	378×	body	80	nan
43.0ms	52×	body	2560	valid
32.0ms	220×	body	80	valid
25.0ms	23×	body	10240	exit
18.0ms	26×	body	1280	valid
10.0ms	18×	body	640	valid
4.0ms	10×	body	320	valid
2.0ms	6×	body	160	valid

simplify109.0ms

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

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.8b

localize22.0ms

Local error

Found 4 expressions with local error:

17.7b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite723.0ms

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)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
590.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
84.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
86.0ms	(/ (* 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))))

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

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 32.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite24.0ms

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:

23.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify290.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (286.0ms)

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

prune400.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 31.4b

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

prune351.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 31.4b

localize25.0ms

Local error

Found 4 expressions with local error:

17.7b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 132

Calls

4 calls:

42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
600.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
596.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series633.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
233.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
227.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify140.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (115.0ms)

Iter	Nodes	Cost
0	594	2392
1	3877	1858
2	5001	1848

prune3.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 31.4b

regimes3.6s

Accuracy

56.4% (1.0b remaining)

Error of 32.8b against oracle of 31.8b and baseline of 34.0b

bsearch10.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	53
1	34	53

end0.0ms

sample9.3s

Algorithm

intervals

Results

2.4s	2268×	body	5120	valid
1.8s	13155×	body	80	nan
1.5s	1761×	body	2560	valid
935.0ms	6817×	body	80	valid
686.0ms	625×	body	10240	exit
624.0ms	888×	body	1280	valid
253.0ms	459×	body	640	valid
93.0ms	221×	body	320	valid
31.0ms	117×	body	160	valid