Details

analyze2.2s

Algorithm: search

sample49.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
7.0ms	83×	body	80	nan
3.0ms	42×	body	80	invalid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	81	9
2	178	9
3	446	9
4	1530	9
5	5001	9

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: 12.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

1.9b	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.6b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
4.0b	(/ (* M D) (* 2.0 d))
11.2b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
35×	`add-sqr-sqrt`
27×	`prod-exp`
23×	`add-cbrt-cube`
19×	`div-exp` `associate-r`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`times-frac`
12×	`associate-l`
10×	`pow-exp`
8×	`unswap-sqr`
7×	`pow1` `unpow-prod-down` `sqrt-prod` `cbrt-unprod`
5×	`cbrt-undiv`
4×	`sqrt-div` `add-log-exp`
3×	`associate-*r/` `div-inv` `sqr-pow`
2×	`pow-to-exp` `flip3--` `*-commutative` `flip--`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 113

Calls

4 calls:

5.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.0ms	(/ (* M D) (* 2.0 d))
12.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series544.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
150.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.0ms	(/ (* M D) (* 2.0 d))
211.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify74.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	738	1124
1	2959	1046
2	5001	1043

prune249.0ms

Filtered

81 candidates to 125 candidates (-54.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	117	8	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	8	126

Merged error: 5.8b

Counts

126 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
4.0b	(/ (* M D) (* 2.0 d))
4.5b	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
5.9b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-exp-log`
91×	`prod-exp`
40×	`div-exp`
30×	`add-cbrt-cube`
25×	`pow-exp`
21×	`add-sqr-sqrt`
16×	`associate-r`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`times-frac` `cbrt-unprod`
10×	`associate-l`
8×	`rec-exp` `1-exp`
7×	`pow1`
6×	`cbrt-undiv` `unpow-prod-down`
5×	`pow-to-exp`
4×	`add-log-exp`
3×	`sqrt-prod` `div-inv` `unswap-sqr`
2×	`sqrt-div` `*-commutative` `sqr-pow`
1×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `un-div-inv` `flip--` `associate-/l*`

Counts

4 → 128

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
7.0ms	(/ (* M D) (* 2.0 d))
10.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
6.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

series563.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (- 1.0 (* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))))
6.0ms	(/ (* M D) (* 2.0 d))
209.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) (/ 1 l))
203.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)

simplify87.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	885	1232
1	3626	1109
2	5002	1096

prune214.0ms

Filtered

73 candidates to 140 candidates (-91.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	140	8	148

Merged error: 5.1b

Counts

148 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* M D) (* 2.0 d))
4.0b	(/ (* M D) (* 2.0 d))
4.4b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
4.5b	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

1402×	`add-exp-log`
907×	`prod-exp`
366×	`div-exp`
305×	`pow-exp`
61×	`pow-to-exp`
57×	`rec-exp` `1-exp`
51×	`add-cbrt-cube`
21×	`cbrt-unprod`
19×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`cbrt-undiv`
10×	`associate-l`
6×	`pow1` `unpow-prod-down`
4×	`div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `associate-/l*` `sqr-pow`
1×	`associate-*r/` `pow-prod-down` `un-div-inv`

Counts

4 → 332

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
7.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
18.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

series426.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
202.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
212.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)) (/ 1 l))

simplify123.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1770	4589
1	4951	3162
2	5001	3162

prune265.0ms

Filtered

78 candidates to 344 candidates (-341.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	342	2	344
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	345	7	352

Merged error: 4.9b

Counts

352 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

4.0b	(/ (* M D) (* 2.0 d))
4.0b	(/ (* M D) (* 2.0 d))
4.4b	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.8b	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

177×	`add-exp-log`
95×	`prod-exp`
44×	`div-exp`
42×	`add-cbrt-cube`
25×	`pow-exp`
19×	`add-sqr-sqrt`
16×	`associate-r`
15×	`cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
10×	`cbrt-undiv` `associate-l`
8×	`rec-exp` `1-exp`
6×	`pow1` `unpow-prod-down`
5×	`pow-to-exp`
4×	`div-inv` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `associate-/l*` `sqr-pow`
1×	`associate-*r/` `pow-prod-down` `un-div-inv`

Counts

4 → 134

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
11.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

series422.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (* M D) (* 2.0 d))
6.0ms	(/ (* M D) (* 2.0 d))
201.0ms	(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
209.0ms	(* (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h) (/ 1 l))

simplify82.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	839	1268
1	3479	1093
2	5001	1080

prune222.0ms

Filtered

76 candidates to 146 candidates (-92.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Merged error: 4.9b

Counts

153 → 8

regimes1.4s

Accuracy

0% (1.6b remaining)

Error of 8.6b against oracle of 7.0b and baseline of 8.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	17
1	30	17

end0.0ms

analyze2.2s

Algorithm: search

sample1.4s

Algorithm

intervals

Results

635.0ms	8000×	body	80	valid
252.0ms	3077×	body	80	nan
108.0ms	1300×	body	80	invalid

Details

analyze2.2s

sample49.0ms

simplify53.0ms

prune5.0ms

localize13.0ms

rewrite29.0ms

series544.0ms

simplify74.0ms

prune249.0ms

localize15.0ms

rewrite32.0ms

series563.0ms

simplify87.0ms

prune214.0ms

localize20.0ms

rewrite75.0ms

series426.0ms

simplify123.0ms

prune265.0ms

localize17.0ms

rewrite36.0ms

series422.0ms

simplify82.0ms

prune222.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.2s

sample1.4s

Profiling