Details

sample144.0ms

Algorithm

intervals

Results

40.0ms	81×	body	5120	valid
21.0ms	348×	body	80	nan
16.0ms	43×	body	2560	valid
13.0ms	216×	body	80	valid
7.0ms	22×	body	1280	valid
6.0ms	12×	body	10240	exit
5.0ms	12×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	4×	body	160	valid

simplify108.0ms

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

prune12.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 56.8b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite87.0ms

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)))
38.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
247.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify134.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (114.0ms)

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

prune327.0ms

Filtered

168 candidates to 70 candidates (41.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	165	5	170

Merged error: 32.5b

Counts

170 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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:

7.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify285.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	178	58
1	1734	24
2	5001	14

prune60.0ms

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: 30.7b

Counts

38 → 5

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune14.0ms

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: 30.7b

Counts

5 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

29.2b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
29.2b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
29.2b	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
32.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-log-exp`
5×	`fma-def`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `times-frac` `add-cbrt-cube` `log1p-expm1-u` `div-inv`
3×	`cbrt-div` `pow1/3`
2×	`sqrt-div` `frac-add`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out`

Counts

4 → 69

Calls

4 calls:

9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
9.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
44.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

series822.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
178.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
177.0ms	(cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))
296.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D))))) (cbrt (/ (* c0 (* d d)) (* (* w h) (* D D)))))) (* M M))))

simplify77.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	378	1867
1	1906	1669
2	5001	1661

prune430.0ms

Filtered

81 candidates to 78 candidates (96.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	81	5	86

Merged error: 30.7b

Counts

86 → 5

regimes478.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2266×	body	5120	valid
798.0ms	13168×	body	80	nan
693.0ms	1803×	body	2560	valid
412.0ms	6659×	body	80	valid
313.0ms	593×	body	10240	exit
277.0ms	894×	body	1280	valid
113.0ms	458×	body	640	valid
46.0ms	256×	body	320	valid
12.0ms	105×	body	160	valid