Details

sample199.0ms

Algorithm

intervals

Results

38.0ms	73×	body	5120	valid
28.0ms	447×	body	80	nan
25.0ms	61×	body	2560	valid
15.0ms	231×	body	80	valid
14.0ms	28×	body	1280	valid
11.0ms	19×	body	10240	exit
7.0ms	16×	body	640	valid
2.0ms	9×	body	320	valid
0.0ms	1×	body	160	valid

simplify108.0ms

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: 60.2b

localize20.0ms

Local error

Found 4 expressions with local error:

18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.2b	(+ (/ (* c0 (* d d)) (* (* w h) (* 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`
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)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
591.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
260.0ms	(+ (/ (* 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 (18.0ms)

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

prune312.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 35.9b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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:

24.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify291.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (286.0ms)

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

prune76.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.9b

localize6.0ms

Local error

Found 3 expressions with local error:

0.6b	(* (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:

11.0ms	(* (cbrt c0) (cbrt c0))
1.0ms	(cbrt c0)
1.0ms	(cbrt c0)

series553.0ms

Counts

3 → 9

Calls

3 calls:

193.0ms	(* (cbrt c0) (cbrt c0))
182.0ms	(cbrt c0)
177.0ms	(cbrt c0)

simplify91.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (86.0ms)

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

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.9b

localize22.0ms

Local error

Found 4 expressions with local error:

18.0b	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.1b	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite676.0ms

Algorithm

rewrite-expression-head

Rules

207×	`add-exp-log` `add-cbrt-cube`
103×	`prod-exp` `cbrt-unprod`
56×	`cbrt-undiv` `div-exp`
9×	`times-frac`
8×	`*-un-lft-identity`
7×	`associate-/l*`
6×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
5×	`div-inv`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `associate-/l/` `distribute-lft-out`

Counts

4 → 150

Calls

4 calls:

27.0ms	(/ (/ (* 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)))
559.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series571.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (/ (* c0 (* d d)) (* w h)) (* D D))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
269.0ms	(+ (/ (/ (* c0 (* d d)) (* w h)) (* D D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify38.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	802	2195
1	5001	1574

prune285.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 31.1b

regimes446.0ms

Accuracy

0% (3.0b remaining)

Error of 33.8b against oracle of 30.8b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	5
1	8	5

end0.0ms

sample4.9s

Algorithm

intervals

Results

1.0s	2269×	body	5120	valid
774.0ms	13242×	body	80	nan
644.0ms	1767×	body	2560	valid
393.0ms	6760×	body	80	valid
278.0ms	560×	body	10240	exit
260.0ms	894×	body	1280	valid
104.0ms	448×	body	640	valid
39.0ms	234×	body	320	valid
15.0ms	122×	body	160	valid