Details

sample160.0ms

Algorithm

intervals

Results

35.0ms	64×	body	5120	valid
27.0ms	439×	body	80	nan
22.0ms	56×	body	2560	valid
13.0ms	216×	body	80	valid
12.0ms	22×	body	10240	exit
9.0ms	28×	body	1280	valid
3.0ms	13×	body	640	valid
2.0ms	11×	body	320	valid
0.0ms	4×	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: 59.3b

localize20.0ms

Local error

Found 4 expressions with local error:

20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.0b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite84.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
242.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify122.0ms

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

4 alts after pruning (3 fresh and 1 done)

Merged error: 31.4b

localize7.0ms

Local error

Found 1 expressions with local error:

5.9b	(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

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:

7.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify284.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (280.0ms)

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

prune59.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 28.7b

localize1.0ms

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

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 28.7b

localize23.0ms

Local error

Found 4 expressions with local error:

17.4b	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.5b	(+ (* (/ c0 (* w h)) (/ (* d d) (* 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`
110×	`prod-exp` `cbrt-unprod`
52×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-l*`
6×	`pow1` `sqrt-div` `frac-add` `add-log-exp`
5×	`associate-r`
4×	`div-inv`
3×	`frac-times` `flip3--` `associate-r/` `associate-l/` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

4 → 159

Calls

4 calls:

12.0ms	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series835.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (/ c0 (* w h)) (/ (* d d) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
508.0ms	(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify44.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	947	2618
1	5001	1982

prune334.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 28.4b

regimes595.0ms

Accuracy

45.1% (1.6b remaining)

Error of 32.3b against oracle of 30.6b and baseline of 33.6b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	53
1	32	53

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2332×	body	5120	valid
806.0ms	12989×	body	80	nan
679.0ms	1720×	body	2560	valid
432.0ms	6767×	body	80	valid
292.0ms	546×	body	10240	exit
278.0ms	873×	body	1280	valid
117.0ms	474×	body	640	valid
46.0ms	242×	body	320	valid
15.0ms	121×	body	160	valid