Details

sample301.0ms

Algorithm

intervals

Results

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

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

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))

rewrite56.0ms

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:

21.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms	(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))

series1.5s

Counts

4 → 12

Calls

4 calls:

474.0ms	(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
277.0ms	(pow (* -2.0 (log u1)) 0.5)
32.0ms	(* (* 2.0 PI) u2)
720.0ms	(* (/ 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

prune331.0ms

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

rewrite37.0ms

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:

18.0ms	(+ (* (* 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	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
10.0ms	(* (* 2.0 PI) u2)

series1.5s

Counts

4 → 12

Calls

4 calls:

476.0ms	(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
271.0ms	(pow (* -2.0 (log u1)) 0.5)
716.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
34.0ms	(* (* 2.0 PI) u2)

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

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

prune332.0ms

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	(/ (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))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

2.0ms	(pow (* -2.0 (log u1)) 0.5)
3.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
6.0ms	(* (* 2.0 PI) u2)
64.0ms	(exp (+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5))

series1.5s

Counts

4 → 12

Calls

4 calls:

271.0ms	(pow (* -2.0 (log u1)) 0.5)
706.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
32.0ms	(* (* 2.0 PI) u2)
519.0ms	(exp (+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	402	691
1	1572	635
2	5002	635

prune373.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (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))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

3.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
8.0ms	(* (* 2.0 PI) (sqrt u2))
26.0ms	(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))
76.0ms	(exp (+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* (* 2.0 PI) (sqrt u2)) (sqrt u2)))) 0.5))

series1.5s

Counts

4 → 12

Calls

4 calls:

723.0ms	(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
80.0ms	(* (* 2.0 PI) (sqrt u2))
53.0ms	(* (* (* 2.0 PI) (sqrt u2)) (sqrt u2))
633.0ms	(exp (+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* (* 2.0 PI) (sqrt u2)) (sqrt u2)))) 0.5))

simplify84.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	644	1010
1	2836	898
2	5002	888

prune417.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes336.0ms

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

sample913.0ms

Algorithm

intervals

Results

639.0ms	8000×	body	80	valid
123.0ms	8000×	pre	80	true