Details

sample170.0ms

Algorithm

intervals

Results

37.0ms	75×	body	5120	valid
27.0ms	420×	body	80	nan
24.0ms	52×	body	2560	valid
14.0ms	213×	body	80	valid
10.0ms	31×	body	1280	valid
8.0ms	15×	body	10240	exit
6.0ms	23×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 58.9b

localize22.0ms

Local error

Found 4 expressions with local error:

19.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.2b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.6b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite352.0ms

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)))
18.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
288.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series548.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* 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))))

simplify125.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

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

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 33.4b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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:

13.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify285.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (281.0ms)

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

prune65.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 31.2b

localize3.0ms

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

prune12.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 31.2b

localize33.0ms

Local error

Found 4 expressions with local error:

27.0b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.0b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
27.0b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
38.9b	(+ (* (* (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))))

rewrite332.0ms

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:

15.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
13.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
13.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
288.0ms	(+ (* (* (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))))

series840.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
178.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
177.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
302.0ms	(+ (* (* (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))))

simplify74.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (51.0ms)

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

prune399.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 31.2b

regimes304.0ms

Accuracy

0% (2.3b remaining)

Error of 33.2b against oracle of 31.0b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	2
1	7	2

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.2s	2330×	body	5120	valid
850.0ms	12884×	body	80	nan
718.0ms	1750×	body	2560	valid
447.0ms	6683×	body	80	valid
320.0ms	575×	body	10240	exit
305.0ms	908×	body	1280	valid
112.0ms	436×	body	640	valid
46.0ms	228×	body	320	valid
14.0ms	107×	body	160	valid