Details

sample174.0ms

Algorithm

intervals

Results

36.0ms	73×	body	5120	valid
28.0ms	447×	body	80	nan
22.0ms	61×	body	2560	valid
14.0ms	231×	body	80	valid
10.0ms	19×	body	10240	exit
8.0ms	28×	body	1280	valid
4.0ms	16×	body	640	valid
2.0ms	9×	body	320	valid
0.0ms	1×	body	160	valid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	60	26
1	304	25
2	3462	25
3	5003	25

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 60.2b

localize18.0ms

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))))

rewrite732.0ms

Algorithm

rewrite-expression-head

Rules

211×	`add-exp-log` `add-cbrt-cube`
117×	`prod-exp` `cbrt-unprod`
45×	`cbrt-undiv` `div-exp`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `div-inv`
3×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 156

Calls

4 calls:

42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
597.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
101.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
258.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify118.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	594	2246
1	3877	1589
2	5001	1584

prune360.0ms

Pruning

5 alts after pruning (5 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)

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×	`expm1-log1p-u` `mul0` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`

Counts

1 → 30

Calls

1 calls:

27.0ms

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

series2.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify279.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (274.0ms)

Iter	Nodes	Cost
0	178	40
1	1861	24
2	5001	14

prune67.0ms

Pruning

5 alts after pruning (5 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

prune17.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 32.9b

localize21.0ms

Local error

Found 4 expressions with local error:

15.6b	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
51.9b	(fma (* c0 (* d d)) (/ 1 (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `times-frac` `sqrt-div` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `flip--` `fma-udef` `difference-of-squares`

Counts

4 → 118

Calls

4 calls:

357.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
42.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
45.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
0.0ms	(fma (* c0 (* d d)) (/ 1 (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
256.0ms	(fma (* c0 (* d d)) (/ 1 (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify109.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	546	1771
1	3425	1292
2	5003	1291

prune287.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 31.9b

regimes335.0ms

Accuracy

0% (3.1b remaining)

Error of 33.8b against oracle of 30.7b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	0
1	4	0

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.1s	2269×	body	5120	valid
813.0ms	13242×	body	80	nan
665.0ms	1767×	body	2560	valid
419.0ms	6760×	body	80	valid
285.0ms	560×	body	10240	exit
269.0ms	894×	body	1280	valid
104.0ms	448×	body	640	valid
41.0ms	234×	body	320	valid
17.0ms	122×	body	160	valid