Details

sample154.0ms

Algorithm

intervals

Results

40.0ms	76×	body	5120	valid
23.0ms	383×	body	80	nan
20.0ms	53×	body	2560	valid
11.0ms	186×	body	80	valid
11.0ms	21×	body	10240	exit
9.0ms	30×	body	1280	valid
4.0ms	17×	body	640	valid
2.0ms	11×	body	320	valid
0.0ms	1×	body	160	valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.1b

localize20.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.7b	(+ (/ (* 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`
6×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 143

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)))
280.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify127.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2159
1	3786	1523
2	5001	1523

prune494.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 35.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ c0 (* 2.0 w))
7.2b	(* (/ c0 (* 2.0 w)) 0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-r` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `mul0` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

3.0ms	(/ c0 (* 2.0 w))
10.0ms	(* (/ c0 (* 2.0 w)) 0)

series19.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/ c0 (* 2.0 w))
1.0ms	(* (/ c0 (* 2.0 w)) 0)

simplify280.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (276.0ms)

Iter	Nodes	Cost
0	199	118
1	1895	87
2	5001	77

prune122.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 31.8b

localize3.0ms

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

prune25.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 31.8b

localize22.0ms

Local error

Found 4 expressions with local error:

18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.5b	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite362.0ms

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`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `div-inv`
3×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+`

Counts

4 → 144

Calls

4 calls:

17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
302.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series748.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
107.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
445.0ms	(+ (/ 1 (/ (* (* w h) (* D D)) (* c0 (* d d)))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify38.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	791	2257
1	5001	1583

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 30.9b

regimes310.0ms

Accuracy

0% (2.9b remaining)

Error of 33.6b against oracle of 30.7b and baseline of 33.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	2

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.1s	2244×	body	5120	valid
801.0ms	13170×	body	80	nan
684.0ms	1790×	body	2560	valid
418.0ms	6796×	body	80	valid
309.0ms	573×	body	10240	exit
287.0ms	930×	body	1280	valid
105.0ms	434×	body	640	valid
37.0ms	210×	body	320	valid
14.0ms	115×	body	160	valid