Details

sample182.0ms

Algorithm

intervals

Results

40.0ms	80×	body	5120	valid
29.0ms	489×	body	80	nan
22.0ms	58×	body	2560	valid
16.0ms	237×	body	80	valid
12.0ms	23×	body	10240	exit
6.0ms	19×	body	1280	valid
4.0ms	15×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	2×	body	160	valid

simplify107.0ms

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: 61.4b

localize21.0ms

Local error

Found 4 expressions with local error:

19.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.4b	(+ (/ (* 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))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
89.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
230.0ms	(+ (/ (* 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

prune486.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 34.1b

localize5.0ms

Local error

Found 1 expressions with local error:

7.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite23.0ms

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:

22.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify281.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (278.0ms)

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

prune65.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 32.4b

localize0.0ms

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

prune14.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.4b

localize22.0ms

Local error

Found 4 expressions with local error:

19.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* (* w h) (* D D)) (* c0 (* d d)))
30.4b	(+ (/ 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))))

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`
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:

40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
40.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
594.0ms	(+ (/ 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))))

series675.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* (* w h) (* D D)) (* c0 (* d d)))
404.0ms	(+ (/ 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))))

simplify39.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	791	2257
1	5001	1583

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.7b

regimes335.0ms

Accuracy

0% (2.8b remaining)

Error of 33.8b against oracle of 31.0b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.0s	2211×	body	5120	valid
797.0ms	12946×	body	80	nan
680.0ms	1781×	body	2560	valid
436.0ms	6921×	body	80	valid
307.0ms	593×	body	10240	exit
278.0ms	890×	body	1280	valid
109.0ms	451×	body	640	valid
44.0ms	236×	body	320	valid
15.0ms	124×	body	160	valid