Details

sample173.0ms

Algorithm

intervals

Results

36.0ms	78×	body	5120	valid
25.0ms	445×	body	80	nan
20.0ms	55×	body	2560	valid
12.0ms	31×	body	1280	valid
12.0ms	208×	body	80	valid
11.0ms	22×	body	10240	exit
3.0ms	13×	body	640	valid
2.0ms	9×	body	320	valid
0.0ms	3×	body	160	valid

simplify103.0ms

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: 57.6b

localize19.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite703.0ms

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)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
571.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series484.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
84.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
87.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
227.0ms	(+ (/ (* 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

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 30.8b

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite24.0ms

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:

23.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify288.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (282.0ms)

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

prune64.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 29.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.5b	(* (cbrt c0) (cbrt c0))
0.6b	(cbrt c0)
0.6b	(cbrt c0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
21×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
5×	`add-exp-log`
4×	`unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

3 → 62

Calls

3 calls:

10.0ms	(* (cbrt c0) (cbrt c0))
1.0ms	(cbrt c0)
1.0ms	(cbrt c0)

series532.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(* (cbrt c0) (cbrt c0))
174.0ms	(cbrt c0)
168.0ms	(cbrt c0)

simplify89.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	249
1	472	225
2	2959	205
3	5003	202

prune180.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 29.7b

localize28.0ms

Local error

Found 4 expressions with local error:

15.5b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.5b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log` `add-cbrt-cube`
39×	`prod-exp` `cbrt-unprod`
15×	`cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-log-exp`
6×	`sqrt-div` `frac-add`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
3×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 85

Calls

4 calls:

40.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
567.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
576.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
564.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series780.0ms

Counts

4 → 12

Calls

4 calls:

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))))
235.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
226.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2389
1	3786	2041
2	5001	2041

prune334.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 29.7b

regimes356.0ms

Accuracy

0% (2.2b 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	8	5
1	8	5

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.1s	2326×	body	5120	valid
769.0ms	12967×	body	80	nan
655.0ms	1702×	body	2560	valid
414.0ms	6868×	body	80	valid
321.0ms	612×	body	10240	exit
261.0ms	856×	body	1280	valid
107.0ms	447×	body	640	valid
42.0ms	233×	body	320	valid
14.0ms	122×	body	160	valid