Details

analyze360.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

sample75.0ms

Algorithm

intervals

Results

43.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4873	30
1	4873	30

prune17.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.3b

Counts

2 → 1

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.4b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `prod-exp` `add-cbrt-cube`
12×	`pow1`
11×	`times-frac`
8×	`associate-r`
6×	`pow-exp` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow`
2×	`unpow-prod-down` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-*l/` `sum-log` `flip-+` `div-inv`

Counts

4 → 87

Calls

4 calls:

20.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms	(pow (* -2.0 (log u1)) 0.5)
5.0ms	(* (* 2.0 PI) u2)
10.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series351.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
68.0ms	(pow (* -2.0 (log u1)) 0.5)
4.0ms	(* (* 2.0 PI) u2)
159.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify139.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4944	1839
1	4944	1839

prune300.0ms

Filtered

65 candidates to 99 candidates (-52.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 0b

Counts

100 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
0.3b	(* (* 2.0 PI) u2)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
12×	`pow1`
11×	`add-cbrt-cube`
6×	`add-log-exp`
5×	`unpow-prod-down` `prod-exp` `associate-/l*` `sqr-pow`
4×	`div-exp` `pow-prod-down` `pow-exp`
3×	`pow-unpow` `associate-r` `associate-/r*` `cbrt-unprod`
2×	`pow-to-exp` `pow-pow`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

4 → 84

Calls

4 calls:

20.0ms	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
8.0ms	(pow (* -2.0 (log u1)) 0.5)
10.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
10.0ms	(* (* 2.0 PI) u2)

series301.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
36.0ms	(pow (* -2.0 (log u1)) 0.5)
133.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
10.0ms	(* (* 2.0 PI) u2)

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4976	1818
1	4976	1818

prune211.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0b

Counts

105 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.4b	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))
1.0b	(exp (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
22×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `add-cbrt-cube`
12×	`pow1`
11×	`times-frac`
6×	`associate-l` `pow-exp` `add-log-exp`
5×	`cbrt-unprod`
4×	`div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow`
2×	`unpow-prod-down` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `exp-prod` `exp-to-pow` `associate-*r/` `div-inv` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

7.0ms	(pow (* -2.0 (log u1)) 0.5)
8.0ms	(* (* 2.0 PI) u2)
14.0ms	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))
3.0ms	(exp (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(pow (* -2.0 (log u1)) 0.5)
6.0ms	(* (* 2.0 PI) u2)
157.0ms	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))
139.0ms	(exp (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5029	1496

prune280.0ms

Filtered

58 candidates to 98 candidates (-69.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0b

Counts

107 → 9

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))
0.3b	(* (* 2.0 PI) u2)
0.3b	(exp (log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))))
0.4b	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
23×	`prod-exp`
22×	`add-sqr-sqrt`
16×	`associate-r`
14×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
11×	`pow1` `times-frac`
9×	`rem-log-exp`
8×	`div-exp` `pow-exp`
6×	`associate-l`
5×	`cbrt-unprod`
4×	`pow-to-exp` `exp-prod` `add-log-exp` `unswap-sqr`
3×	`associate-*r/` `pow-prod-down` `sqr-pow`
2×	`log-div` `log-prod` `log-pow` `*-commutative`
1×	`cbrt-undiv` `unpow-prod-down` `exp-diff` `exp-sum` `div-inv` `rem-exp-log`

Counts

4 → 92

Calls

4 calls:

8.0ms	(log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))
5.0ms	(* (* 2.0 PI) u2)
6.0ms	(exp (log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))))
9.0ms	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))

series469.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0)))
3.0ms	(* (* 2.0 PI) u2)
175.0ms	(exp (log (* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))))
119.0ms	(* (pow (* -2.0 (log u1)) 0.5) (/ 1.0 6.0))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5368	1602

prune255.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	104	9	113

Merged error: 0b

Counts

113 → 9

regimes567.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	30
1	25	30

end0.0ms

sample1.4s

Algorithm

intervals

Results

971.0ms	8000×	body	80	valid
253.0ms	8000×	pre	80	true

Details

analyze360.0ms

sample75.0ms

simplify134.0ms

prune17.0ms

localize38.0ms

rewrite48.0ms

series351.0ms

simplify139.0ms

prune300.0ms

localize23.0ms

rewrite53.0ms

series301.0ms

simplify57.0ms

prune211.0ms

localize22.0ms

rewrite37.0ms

series370.0ms

simplify70.0ms

prune280.0ms

localize33.0ms

rewrite34.0ms

series469.0ms

simplify68.0ms

prune255.0ms

regimes567.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling