Details

sample290.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	35	9
1	74	9
2	160	9
3	483	9
4	1845	9
5	5001	9

prune11.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (/ 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)
0.4b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite40.0ms

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`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr` `sqr-pow`
3×	`pow-to-exp` `pow-unpow`
2×	`unpow-prod-down` `pow-pow` `*-commutative`
1×	`cbrt-undiv` `associate-*l/` `fma-udef` `div-inv`

Counts

4 → 92

Calls

4 calls:

1.0ms	(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
19.0ms	(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))

series1.4s

Counts

4 → 12

Calls

4 calls:

457.0ms	(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
260.0ms	(pow (* -2.0 (log u1)) 0.5)
31.0ms	(* (* 2.0 PI) u2)
692.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify51.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	456	686
1	1839	619
2	5001	619

prune354.0ms

Filtered

104 candidates to 77 candidates (74.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 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)

rewrite17.0ms

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`
5×	`unpow-prod-down` `prod-exp` `associate-/l*` `sqr-pow`
4×	`expm1-log1p-u` `div-exp` `pow-prod-down` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-/r*` `cbrt-unprod`
2×	`pow-to-exp` `pow-pow`
1×	`cbrt-undiv` `frac-2neg` `associate-l` `clear-num` `*-commutative` `fma-udef` `div-inv`

Counts

4 → 89

Calls

4 calls:

1.0ms	(fma (* 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:

451.0ms	(fma (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)) 0.5)
263.0ms	(pow (* -2.0 (log u1)) 0.5)
32.0ms	(* (* 2.0 PI) u2)
687.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	387	666
1	1508	612
2	5001	612

prune357.0ms

Filtered

101 candidates to 78 candidates (77.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.2b	(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.3b	(* (* 2.0 PI) u2)
0.3b	(/ 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` `expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `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 → 190

Calls

4 calls:

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

series1.7s

Counts

4 → 12

Calls

4 calls:

259.0ms	(pow (* -2.0 (log u1)) 0.5)
688.0ms	(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
36.0ms	(* (* 2.0 PI) u2)
749.0ms	(/ 6.0 (pow (* -2.0 (log u1)) 0.5))

simplify77.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	663	1648
1	2886	1497
2	5002	1396

prune519.0ms

Filtered

202 candidates to 117 candidates (57.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
0.3b	(* (* 2.0 PI) u2)
0.3b	(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
0.3b	(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

431×	`add-exp-log`
270×	`prod-exp`
214×	`pow-exp`
168×	`div-exp`
94×	`pow-to-exp`
84×	`rec-exp` `1-exp`
21×	`add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`times-frac`
8×	`unpow-prod-down`
6×	`cbrt-unprod` `associate-/l*`
4×	`cbrt-undiv` `expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `div-inv` `unswap-sqr`
2×	`frac-2neg` `clear-num` `associate-/r` `-commutative` `inv-pow` `sqr-pow`

Counts

4 → 260

Calls

4 calls:

13.0ms	(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
5.0ms	(* (* 2.0 PI) u2)
7.0ms	(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
10.0ms	(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

series2.3s

Counts

4 → 12

Calls

4 calls:

714.0ms	(/ 1 (* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5)))
33.0ms	(* (* 2.0 PI) u2)
748.0ms	(/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0)))
769.0ms	(* 6.0 (pow (/ 1 (* (pow (log u1) 1.0) (pow -2.0 1.0))) 0.5))

simplify74.0ms

Algorithm

egg-herbie

Counts

272 → 272

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	782	2184
1	2716	2069
2	5001	1951

prune422.0ms

Filtered

272 candidates to 79 candidates (29.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes401.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample940.0ms

Algorithm

intervals

Results

656.0ms	8000×	body	80	valid
131.0ms	8000×	pre	80	true