Details

sample186.0ms

Algorithm

intervals

Results

42.0ms	71×	body	5120	valid
35.0ms	428×	body	80	nan
21.0ms	46×	body	2560	valid
18.0ms	231×	body	80	valid
12.0ms	32×	body	1280	valid
11.0ms	18×	body	5120	exit
6.0ms	19×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	4×	body	160	valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.7b

Counts

2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

22.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
22.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
22.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite80.0ms

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:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* 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))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
245.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify138.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (118.0ms)

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

prune325.0ms

Filtered

168 candidates to 70 candidates (41.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	163	5	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	5	169

Merged error: 31.7b

Counts

169 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

4.2b	(* (/ 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×	`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:

6.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify291.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (285.0ms)

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

prune61.0ms

Filtered

33 candidates to 21 candidates (63.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 30.3b

Counts

38 → 5

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

prune15.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Merged error: 30.3b

Counts

5 → 5

localize30.0ms

Local error

Found 4 expressions with local error:

22.4b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
25.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
25.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
36.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
34.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
33.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
241.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
239.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
240.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify131.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	594	2538
1	3877	2127
2	5001	2112

prune466.0ms

Filtered

120 candidates to 82 candidates (68.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	120	5	125

Merged error: 30.3b

Counts

125 → 5

regimes282.0ms

Accuracy

0% (2.3b remaining)

Error of 33.8b against oracle of 31.5b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample5.5s

Algorithm

intervals

Results

1.3s	2292×	body	5120	valid
1.0s	13057×	body	80	nan
806.0ms	1720×	body	2560	valid
535.0ms	6798×	body	80	valid
357.0ms	584×	body	5120	exit
345.0ms	910×	body	1280	valid
137.0ms	456×	body	640	valid
52.0ms	228×	body	320	valid
15.0ms	98×	body	160	valid