Details

sample300.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	10
1	71	10
2	154	10
3	469	10
4	1812	10
5	5001	10

prune5.0ms

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: 0.3b

Counts

2 → 1

localize22.0ms

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)
0.1b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.3b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite46.0ms

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:

9.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms	(pow (* -2.0 (log u1)) 0.5)
19.0ms	(* (* 2.0 PI) u2)
10.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts

4 → 12

Calls

4 calls:

447.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
254.0ms	(pow (* -2.0 (log u1)) 0.5)
37.0ms	(* (* 2.0 PI) u2)
674.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	507	728
1	2155	656
2	5001	656

prune323.0ms

Filtered

99 candidates to 71 candidates (71.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 0.0b

Counts

100 → 8

localize18.0ms

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)
0.1b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.3b	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

rewrite25.0ms

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:

9.0ms	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms	(pow (* -2.0 (log u1)) 0.5)
5.0ms	(* (* 2.0 PI) u2)
5.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts

4 → 12

Calls

4 calls:

447.0ms	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
257.0ms	(pow (* -2.0 (log u1)) 0.5)
37.0ms	(* (* 2.0 PI) u2)
674.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	438	710
1	1838	655
2	5001	655

prune307.0ms

Filtered

96 candidates to 72 candidates (75.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Merged error: 0b

Counts

104 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.3b	(* (* 2.0 PI) u2)
0.3b	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
0.3b	(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
26×	`div-exp`
24×	`associate-/r*`
17×	`unpow-prod-down` `sqr-pow`
16×	`add-cbrt-cube`
13×	`pow1`
10×	`pow-exp`
8×	`prod-exp`
6×	`div-inv` `associate-/l*`
5×	`pow-to-exp` `rec-exp` `1-exp`
4×	`cbrt-undiv` `pow-prod-down` `add-log-exp`
3×	`pow-unpow` `associate-r` `cbrt-unprod`
2×	`pow-pow` `frac-2neg` `clear-num`
1×	`pow-flip` `associate-l` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 182

Calls

4 calls:

4.0ms	(pow (* -2.0 (log u1)) 0.5)
5.0ms	(* (* 2.0 PI) u2)
4.0ms	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
8.0ms	(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series1.7s

Counts

4 → 12

Calls

4 calls:

256.0ms	(pow (* -2.0 (log u1)) 0.5)
31.0ms	(* (* 2.0 PI) u2)
745.0ms	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
687.0ms	(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify79.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	655	1612
1	2878	1461
2	5001	1360

prune440.0ms

Filtered

194 candidates to 107 candidates (55.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	194	9	203

Merged error: 0b

Counts

203 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.2b	(/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.3b	(* (* 2.0 PI) u2)
0.4b	(* (sqrt (pow (* -2.0 (log u1)) 0.5)) (/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
57×	`times-frac`
54×	`sqrt-prod`
40×	`add-cube-cbrt` `*-un-lft-identity`
31×	`associate-r`
19×	`add-exp-log`
16×	`add-cbrt-cube` `sqr-pow`
14×	`pow1`
12×	`unswap-sqr`
9×	`unpow-prod-down` `associate-l`
8×	`associate-/l*`
6×	`prod-exp`
5×	`pow-prod-down` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`cbrt-undiv` `pow-pow` `div-exp` `pow-exp` `*-commutative` `div-inv`
1×	`pow-to-exp` `frac-2neg` `associate-*r/` `clear-num`

Counts

4 → 144

Calls

4 calls:

4.0ms	(pow (* -2.0 (log u1)) 0.5)
5.0ms	(/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0)
5.0ms	(* (* 2.0 PI) u2)
13.0ms	(* (sqrt (pow (* -2.0 (log u1)) 0.5)) (/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0))

series1.7s

Counts

4 → 12

Calls

4 calls:

265.0ms	(pow (* -2.0 (log u1)) 0.5)
696.0ms	(/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0)
31.0ms	(* (* 2.0 PI) u2)
684.0ms	(* (sqrt (pow (* -2.0 (log u1)) 0.5)) (/ (sqrt (pow (* -2.0 (log u1)) 0.5)) 6.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	506	1519
1	2100	1352
2	5001	1306

prune490.0ms

Filtered

156 candidates to 107 candidates (68.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	156	9	165

Merged error: 0b

Counts

165 → 9

regimes530.0ms

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	24	10
1	24	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

781.0ms	8000×	body	80	valid
185.0ms	8000×	pre	80	true

Details

sample300.0ms

simplify65.0ms

prune5.0ms

localize22.0ms

rewrite46.0ms

series1.4s

simplify61.0ms

prune323.0ms

localize18.0ms

rewrite25.0ms

series1.4s

simplify54.0ms

prune307.0ms

localize19.0ms

rewrite29.0ms

series1.7s

simplify79.0ms

prune440.0ms

localize21.0ms

rewrite37.0ms

series1.7s

simplify63.0ms

prune490.0ms

regimes530.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling