Details

analyze1.8s

Algorithm: search

sample187.0ms

Algorithm

intervals

Results

47.0ms	72×	body	5120	valid
29.0ms	381×	body	80	nan
25.0ms	53×	body	2560	valid
14.0ms	22×	body	5120	exit
14.0ms	178×	body	80	invalid
8.0ms	22×	body	1280	valid
7.0ms	83×	body	80	valid
4.0ms	14×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	2×	body	2560	invalid
1.0ms	4×	body	160	valid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	640	invalid
0.0ms	1×	body	160	invalid

simplify105.0ms

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

prune5.0ms

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: 59.3b

Counts

2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite81.0ms

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)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* 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))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 1 (15.0ms)

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

prune133.0ms

Filtered

56 candidates to 155 candidates (-176.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Merged error: 34.5b

Counts

156 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ c0 (* 2.0 w))
5.7b	(* (/ c0 (* 2.0 w)) 0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-r` `associate-/l*`
2×	`div-inv` `add-log-exp`
1×	`frac-2neg` `mul0` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

4.0ms	(/ c0 (* 2.0 w))
7.0ms	(* (/ c0 (* 2.0 w)) 0)

series4.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ c0 (* 2.0 w))
1.0ms	(* (/ c0 (* 2.0 w)) 0)

simplify289.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	199	118
1	1895	87
2	5001	77

prune75.0ms

Filtered

36 candidates to 55 candidates (-52.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 32.3b

Counts

61 → 6

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

prune26.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 32.3b

Counts

6 → 6

localize27.0ms

Local error

Found 4 expressions with local error:

18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.8b	(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
24.4b	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

142×	`add-exp-log` `add-cbrt-cube`
78×	`prod-exp` `cbrt-unprod`
30×	`cbrt-undiv` `div-exp`
8×	`*-un-lft-identity` `add-log-exp`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `sqrt-div` `frac-add`
2×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `times-frac` `clear-num` `associate-/r` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 114

Calls

4 calls:

14.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
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))))

series254.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms	(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
98.0ms	(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	579	2274
1	3786	1782
2	5001	1782

prune98.0ms

Filtered

56 candidates to 126 candidates (-125.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Merged error: 32.3b

Counts

132 → 6

regimes789.0ms

Accuracy

0% (2.2b remaining)

Error of 32.9b against oracle of 30.7b and baseline of 32.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

analyze1.8s

Algorithm: search

sample5.6s

Algorithm

intervals

Results

1.4s	2285×	body	5120	valid
1.0s	12475×	body	80	nan
810.0ms	1673×	body	2560	valid
391.0ms	610×	body	5120	exit
354.0ms	4370×	body	80	invalid
341.0ms	856×	body	1280	valid
203.0ms	2512×	body	80	valid
124.0ms	405×	body	640	valid
41.0ms	180×	body	320	valid
26.0ms	66×	body	1280	invalid
22.0ms	47×	body	2560	invalid
20.0ms	50×	body	640	invalid
14.0ms	89×	body	160	valid
5.0ms	23×	body	320	invalid
3.0ms	5×	body	5120	invalid
2.0ms	15×	body	160	invalid

Details

analyze1.8s

sample187.0ms

simplify105.0ms

prune5.0ms

localize24.0ms

rewrite81.0ms

series191.0ms

simplify123.0ms

prune133.0ms

localize5.0ms

rewrite12.0ms

series4.0ms

simplify289.0ms

prune75.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune26.0ms

localize27.0ms

rewrite97.0ms

series254.0ms

simplify123.0ms

prune98.0ms

regimes789.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.8s

sample5.6s

Profiling