Details

sample165.0ms

Algorithm

intervals

Results

35.0ms	76×	body	5120	valid
26.0ms	391×	body	80	nan
21.0ms	57×	body	2560	valid
15.0ms	206×	body	80	valid
9.0ms	17×	body	10240	exit
6.0ms	20×	body	1280	valid
4.0ms	17×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	4×	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: 57.1b

localize22.0ms

Local error

Found 4 expressions with local error:

18.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.7b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite970.0ms

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:

43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
44.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
829.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
234.0ms	(+ (/ (* 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

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 (6 fresh and 1 done)

Merged error: 30.6b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite28.0ms

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:

27.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify287.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (283.0ms)

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

prune69.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 28.4b

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

prune21.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 28.4b

localize25.0ms

Local error

Found 4 expressions with local error:

17.7b	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
18.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.1b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.6b	(+ (/ (* 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))))

rewrite2.2s

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:

167.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
2.0s	(+ (/ (* 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))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
88.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
231.0ms	(+ (/ (* 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 (23.0ms)

Iter	Nodes	Cost
0	1023	2541
1	5001	1838

prune258.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 27.8b

regimes370.0ms

Accuracy

53.5% (1.4b remaining)

Error of 31.7b against oracle of 30.3b and baseline of 33.3b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	31	52

end0.0ms

sample5.1s

Algorithm

intervals

Results

1.1s	2280×	body	5120	valid
802.0ms	12929×	body	80	nan
671.0ms	1730×	body	2560	valid
430.0ms	6836×	body	80	valid
292.0ms	557×	body	10240	exit
280.0ms	890×	body	1280	valid
109.0ms	451×	body	640	valid
40.0ms	223×	body	320	valid
14.0ms	113×	body	160	valid