Details

sample168.0ms

Algorithm

intervals

Results

37.0ms	72×	body	5120	valid
26.0ms	60×	body	2560	valid
26.0ms	422×	body	80	nan
13.0ms	209×	body	80	valid
13.0ms	23×	body	10240	exit
11.0ms	35×	body	1280	valid
4.0ms	16×	body	640	valid
1.0ms	7×	body	320	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

localize24.0ms

Local error

Found 4 expressions with local error:

20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms

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:

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)))
34.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series542.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
253.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify131.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (112.0ms)

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

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.3b

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

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 (282.0ms)

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

prune72.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 30.0b

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

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 30.0b

localize27.0ms

Local error

Found 4 expressions with local error:

20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.3b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.9b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
31.8b	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 167

Calls

4 calls:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
33.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series555.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
248.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify39.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	819	2282
1	5001	1641

prune398.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 29.9b

regimes359.0ms

Accuracy

66.6% (0.8b remaining)

Error of 32.1b against oracle of 31.3b and baseline of 33.7b

bsearch3.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	54
1	34	54

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.2s	2304×	body	5120	valid
813.0ms	13091×	body	80	nan
699.0ms	1759×	body	2560	valid
430.0ms	6712×	body	80	valid
306.0ms	561×	body	10240	exit
291.0ms	895×	body	1280	valid
103.0ms	413×	body	640	valid
40.0ms	218×	body	320	valid
14.0ms	117×	body	160	valid