Details

sample142.0ms

Algorithm

intervals

Results

38.0ms	81×	body	5120	valid
21.0ms	348×	body	80	nan
16.0ms	216×	body	80	valid
16.0ms	43×	body	2560	valid
7.0ms	22×	body	1280	valid
6.0ms	12×	body	10240	exit
3.0ms	12×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	4×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	59	26
1	298	26
2	3398	26
3	5002	26

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize23.0ms

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))))

rewrite79.0ms

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:

12.0ms	(/ (* 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))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
236.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	579	2159
1	3786	1523
2	5001	1523

prune263.0ms

Filtered

155 candidates to 56 candidates (36.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	151	5	156

Merged error: 32.5b

Counts

156 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b	(* (/ 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:

6.0ms

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

series1.0ms

Counts

1 → 3

Calls

1 calls:

1.0ms

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

simplify282.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (279.0ms)

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

prune49.0ms

Filtered

31 candidates to 19 candidates (61.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	31	5	36

Merged error: 30.7b

Counts

36 → 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

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 30.7b

Counts

5 → 5

localize20.0ms

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)))
16.0b	(/ (* (* w h) (* D D)) (* d d))
30.1b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

183×	`add-exp-log` `add-cbrt-cube`
99×	`prod-exp` `cbrt-unprod`
40×	`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 → 133

Calls

4 calls:

12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
11.0ms	(/ (* (* w h) (* D D)) (* d d))
36.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
68.0ms	(/ (* (* w h) (* D D)) (* d d))
239.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ c0 (/ (* (* w h) (* D D)) (* d d)))) (* M M))))

simplify149.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	716	1977
1	4581	1408
2	5002	1408

prune231.0ms

Filtered

145 candidates to 53 candidates (36.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	144	6	150

Merged error: 30.7b

Counts

150 → 6

regimes518.0ms

Accuracy

61.3% (0.9b remaining)

Error of 32.4b against oracle of 31.4b and baseline of 33.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	52
1	31	52

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.1s	2266×	body	5120	valid
799.0ms	13168×	body	80	nan
712.0ms	1803×	body	2560	valid
417.0ms	6659×	body	80	valid
313.0ms	593×	body	10240	exit
285.0ms	894×	body	1280	valid
113.0ms	458×	body	640	valid
46.0ms	256×	body	320	valid
13.0ms	105×	body	160	valid