Details

analyze2.2s

Algorithm: search

sample49.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
7.0ms	99×	body	80	nan
3.0ms	45×	body	80	invalid

simplify52.0ms

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: 13.8b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

1.9b	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.8b	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.1b	(/ (* M D) (* 2.0 d))
10.0b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite27.0ms

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))
10.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series527.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
143.0ms	(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
6.0ms	(/ (* M D) (* 2.0 d))
206.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify73.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (59.0ms)

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

prune235.0ms

Filtered

81 candidates to 125 candidates (-54.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	119	6	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	6	126

Merged error: 6.7b

Counts

126 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
4.8b	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
5.1b	(/ (* M D) (* 2.0 d))
5.7b	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-exp-log`
26×	`prod-exp`
23×	`add-cbrt-cube`
20×	`div-exp`
18×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `pow-exp`
9×	`associate-l`
6×	`cbrt-undiv` `unpow-prod-down` `cbrt-unprod`
5×	`pow1` `times-frac` `sqrt-prod`
4×	`associate-/r*` `add-log-exp`
3×	`associate-r` `div-inv` `unswap-sqr`
2×	`pow-to-exp` `frac-2neg` `sqrt-div` `clear-num` `associate-/l*` `sqr-pow`
1×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `*-commutative` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
7.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.0ms	(/ (* M D) (* 2.0 d))
7.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

series762.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
199.0ms	(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
6.0ms	(/ (* M D) (* 2.0 d))
415.0ms	(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)

simplify65.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	693	925
1	2737	842
2	5002	840

prune193.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Merged error: 6.4b

Counts

114 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
17.2b	(cbrt (/ (* M D) (* 2.0 d)))
17.2b	(cbrt (/ (* M D) (* 2.0 d)))
17.2b	(cbrt (/ (* M D) (* 2.0 d)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
32×	`prod-exp`
17×	`div-exp`
15×	`cbrt-prod`
13×	`add-cbrt-cube`
12×	`pow-exp`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`pow-to-exp`
6×	`times-frac`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `associate-/r*` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

11.0ms	(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
4.0ms	(cbrt (/ (* M D) (* 2.0 d)))
4.0ms	(cbrt (/ (* M D) (* 2.0 d)))
4.0ms	(cbrt (/ (* M D) (* 2.0 d)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(/ (* (pow (* (cbrt (/ (* M D) (* 2.0 d))) (cbrt (/ (* M D) (* 2.0 d)))) 2.0) (* (pow (cbrt (/ (* M D) (* 2.0 d))) 2.0) h)) l)
22.0ms	(cbrt (/ (* M D) (* 2.0 d)))
24.0ms	(cbrt (/ (* M D) (* 2.0 d)))
22.0ms	(cbrt (/ (* M D) (* 2.0 d)))

simplify55.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	537	1297
1	1883	1109
2	5001	1076

prune255.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	90	8	98

Merged error: 6.2b

Counts

98 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* M D) (* 2.0 d))
17.2b	(cbrt (/ (* M D) (* 2.0 d)))
17.2b	(cbrt (/ (* M D) (* 2.0 d)))
17.2b	(cbrt (/ (* M D) (* 2.0 d)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-exp-log` `add-cbrt-cube`
15×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `times-frac` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`

Counts

4 → 63

Calls

4 calls:

6.0ms	(/ (* M D) (* 2.0 d))
4.0ms	(cbrt (/ (* M D) (* 2.0 d)))
4.0ms	(cbrt (/ (* M D) (* 2.0 d)))
6.0ms	(cbrt (/ (* M D) (* 2.0 d)))

series70.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (* M D) (* 2.0 d))
22.0ms	(cbrt (/ (* M D) (* 2.0 d)))
21.0ms	(cbrt (/ (* M D) (* 2.0 d)))
22.0ms	(cbrt (/ (* M D) (* 2.0 d)))

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	258	520
1	1204	458
2	5002	452

prune206.0ms

Filtered

62 candidates to 75 candidates (-21.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	75	8	83

Merged error: 6.2b

Counts

83 → 8

regimes1.2s

Accuracy

0% (1.7b remaining)

Error of 8.9b against oracle of 7.2b and baseline of 8.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	26
1	29	26

end0.0ms

analyze2.2s

Algorithm: search

sample1.4s

Algorithm

intervals

Results

627.0ms	8000×	body	80	valid
245.0ms	3094×	body	80	nan
104.0ms	1317×	body	80	invalid

Details

analyze2.2s

sample49.0ms

simplify52.0ms

prune5.0ms

localize17.0ms

rewrite27.0ms

series527.0ms

simplify73.0ms

prune235.0ms

localize15.0ms

rewrite27.0ms

series762.0ms

simplify65.0ms

prune193.0ms

localize19.0ms

rewrite26.0ms

series301.0ms

simplify55.0ms

prune255.0ms

localize23.0ms

rewrite22.0ms

series70.0ms

simplify36.0ms

prune206.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.2s

sample1.4s

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