Details

sample155.0ms

Algorithm

intervals

Results

30.0ms	64×	body	5120	valid
27.0ms	65×	body	2560	valid
25.0ms	413×	body	80	nan
14.0ms	237×	body	80	valid
11.0ms	26×	body	1280	valid
8.0ms	15×	body	10240	exit
2.0ms	10×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify102.0ms

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: 59.5b

localize19.0ms

Local error

Found 4 expressions with local error:

19.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b	(/ (* 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))))

rewrite82.0ms

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:

12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series514.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
238.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify128.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

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

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 34.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ c0 (* 2.0 w))
3.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-r` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `mul0` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(/ c0 (* 2.0 w))
6.0ms	(* (/ c0 (* 2.0 w)) 0)

series24.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ c0 (* 2.0 w))
1.0ms	(* (/ c0 (* 2.0 w)) 0)

simplify288.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	199	118
1	1895	87
2	5001	77

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 32.9b

localize2.0ms

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

prune26.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 32.9b

localize21.0ms

Local error

Found 4 expressions with local error:

19.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.5b	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
27.9b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

373×	`add-exp-log`
246×	`prod-exp`
235×	`add-cbrt-cube`
138×	`cbrt-unprod`
60×	`div-exp`
45×	`cbrt-undiv`
15×	`rec-exp` `1-exp`
13×	`pow1`
8×	`*-un-lft-identity`
7×	`associate-r`
6×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `add-log-exp`
5×	`times-frac`
3×	`div-inv`
2×	`frac-2neg` `sqrt-div` `frac-add` `clear-num` `associate-/r` `associate-/l`
1×	`+-commutative` `flip3--` `flip3-+` `associate-r/` `associate-l` `sum-log` `un-div-inv` `-commutative` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 187

Calls

4 calls:

12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
36.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series526.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
243.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D)))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify45.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1023	2541
1	5001	1838

prune265.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 32.4b

regimes409.0ms

Accuracy

0% (3.1b remaining)

Error of 33.2b against oracle of 30.2b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	0
1	8	0
2	8	0

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2326×	body	5120	valid
779.0ms	12962×	body	80	nan
671.0ms	1737×	body	2560	valid
425.0ms	6618×	body	80	valid
307.0ms	586×	body	10240	exit
289.0ms	918×	body	1280	valid
108.0ms	449×	body	640	valid
41.0ms	225×	body	320	valid
14.0ms	119×	body	160	valid