Details

sample243.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify66.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (* (/ 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)
0.2b	(* (* 2.0 PI) u2)
0.4b	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite45.0ms

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:

18.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms	(pow (* -2.0 (log u1)) 0.5)
7.0ms	(* (* 2.0 PI) u2)
13.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series205.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
24.0ms	(pow (* -2.0 (log u1)) 0.5)
3.0ms	(* (* 2.0 PI) u2)
95.0ms	(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

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

prune800.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (/ (* 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)
0.2b	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.2b	(* (* 2.0 PI) u2)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

13.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms	(pow (* -2.0 (log u1)) 0.5)
4.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
6.0ms	(* (* 2.0 PI) u2)

series184.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
25.0ms	(pow (* -2.0 (log u1)) 0.5)
78.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms	(* (* 2.0 PI) u2)

simplify53.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	456	597
1	2028	527
2	5002	525

prune654.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* -2.0 (log u1)) 0.5)
0.2b	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.2b	(* (* 2.0 PI) u2)
1.0b	(exp (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`pow1`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp`
7×	`add-log-exp`
5×	`div-exp`
4×	`pow-prod-down` `pow-exp` `cbrt-unprod`
3×	`pow-unpow` `exp-prod` `times-frac` `associate-r` `associate-/r*`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow` `rem-exp-log`
1×	`unpow-prod-down` `frac-2neg` `associate-l` `exp-sum` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

2.0ms	(pow (* -2.0 (log u1)) 0.5)
4.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
6.0ms	(* (* 2.0 PI) u2)
35.0ms	(exp (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5))

series203.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(pow (* -2.0 (log u1)) 0.5)
80.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
2.0ms	(* (* 2.0 PI) u2)
97.0ms	(exp (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	578
1	1783	507
2	5001	507

prune743.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
23×	`add-cbrt-cube`
18×	`pow1`
14×	`prod-exp`
12×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
9×	`pow-prod-down`
7×	`add-log-exp`
6×	`sqrt-prod`
5×	`div-exp`
3×	`exp-prod` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `associate-l` `pow-exp` `*-commutative` `rem-exp-log`
1×	`pow-to-exp` `frac-2neg` `exp-sum` `clear-num` `sum-log` `div-inv` `associate-/l*`

Counts

4 → 82

Calls

4 calls:

5.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
8.0ms	(* (* 2.0 PI) (sqrt u2))
25.0ms	(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))
47.0ms	(exp (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* (* 2.0 PI) (sqrt u2)) (sqrt u2)))) 0.5))

series203.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
5.0ms	(* (* 2.0 PI) (sqrt u2))
4.0ms	(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))
116.0ms	(exp (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* (* 2.0 PI) (sqrt u2)) (sqrt u2)))) 0.5))

simplify74.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	651	897
1	3023	770
2	5001	760

prune910.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes884.0ms

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	29	15
1	29	15

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
296.0ms	8000×	pre	80	true