Details

sample158.0ms

Algorithm

intervals

Results

36.0ms	76×	body	5120	valid
26.0ms	424×	body	80	nan
18.0ms	52×	body	2560	valid
14.0ms	243×	body	80	valid
7.0ms	26×	body	1280	valid
4.0ms	19×	body	640	valid
4.0ms	8×	body	10240	exit
2.0ms	10×	body	320	valid
0.0ms	4×	body	160	valid

simplify110.0ms

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: 60.5b

localize19.0ms

Local error

Found 4 expressions with local error:

19.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite705.0ms

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:

41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
575.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series562.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
263.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 31.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite27.0ms

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×	`mul0` `pow-prod-down` `associate-l/` `-commutative` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

26.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify288.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (284.0ms)

Iter	Nodes	Cost
0	176	32
1	1859	16
2	5001	6

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 29.3b

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

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 29.3b

localize30.0ms

Local error

Found 4 expressions with local error:

27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.3b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
38.4b	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite671.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-div`
15×	`cbrt-prod`
14×	`sqrt-div` `frac-add`
10×	`frac-times` `associate-*l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`associate-*r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`times-frac` `pow1/3` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 67

Calls

4 calls:

27.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
28.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
585.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series858.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
186.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
187.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
304.0ms	(+ (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify76.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	465	3050
1	1642	2817
2	5001	2782

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 28.7b

regimes290.0ms

Accuracy

38% (1.7b remaining)

Error of 33.1b against oracle of 31.4b and baseline of 34.2b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	54
1	33	54

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.0s	2290×	body	5120	valid
744.0ms	13021×	body	80	nan
595.0ms	1660×	body	2560	valid
393.0ms	6783×	body	80	valid
277.0ms	941×	body	1280	valid
275.0ms	569×	body	10240	exit
102.0ms	441×	body	640	valid
40.0ms	239×	body	320	valid
14.0ms	125×	body	160	valid