Details

Time bar (total: 2.2m)

sample203.0ms

Algorithm
intervals
Results
66.0ms256×body80valid
14.0ms256×pre80true

simplify718.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
717.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)
0.3b
(* u2 (* 2 PI))
0.1b
(pow (* -2 (log u1)) 0.5)
0.0b
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-*l* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv clear-num frac-2neg associate-*r* *-commutative fma-udef div-inv
Counts
4 → 93
Calls
4 calls:
Slowest
13.0ms
(* u2 (* 2 PI))
11.0ms
(pow (* -2 (log u1)) 0.5)
9.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series2.0s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
514.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
429.0ms
(pow (* -2 (log u1)) 0.5)
56.0ms
(* u2 (* 2 PI))

simplify11.9s

Counts
68 → 105
Calls
68 calls:
Slowest
804.0ms
(+ (* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))) 0.5)
603.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
486.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
452.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
451.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b
(* u2 (* 2 PI))
0.2b
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
0.2b
(/ 6 (pow (* -2 (log u1)) 0.5))
0.1b
(pow (* -2 (log u1)) 0.5)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative pow-flip inv-pow
Counts
4 → 194
Calls
4 calls:
Slowest
27.0ms
(* u2 (* 2 PI))
19.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
14.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series3.0s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
818.0ms
(pow (* -2 (log u1)) 0.5)
42.0ms
(* u2 (* 2 PI))

simplify48.1s

Counts
218 → 206
Calls
218 calls:
Slowest
841.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
772.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
702.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 6) (cbrt 6)) (pow -2 0.5)))
701.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
674.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

prune2.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/6 (pow (* (log u1) -2) 0.5))
0.3b
(* u2 (* 2 PI))
0.1b
(pow (* (log u1) -2) 0.5)
0.0b
(fma (cos (* u2 (* 2 PI))) (* 1/6 (pow (* (log u1) -2) 0.5)) 0.5)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
12×pow1
11×add-sqr-sqrt add-cbrt-cube
9×prod-exp
8×*-un-lft-identity add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow sqr-pow
2×pow-to-exp unpow-prod-down pow-pow *-commutative unswap-sqr
1×fma-udef
Counts
4 → 78
Calls
4 calls:
Slowest
17.0ms
(pow (* (log u1) -2) 0.5)
14.0ms
(* u2 (* 2 PI))
11.0ms
(* 1/6 (pow (* (log u1) -2) 0.5))
0.0ms
(fma (cos (* u2 (* 2 PI))) (* 1/6 (pow (* (log u1) -2) 0.5)) 0.5)

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
948.0ms
(* 1/6 (pow (* (log u1) -2) 0.5))
467.0ms
(fma (cos (* u2 (* 2 PI))) (* 1/6 (pow (* (log u1) -2) 0.5)) 0.5)
390.0ms
(pow (* (log u1) -2) 0.5)
49.0ms
(* u2 (* 2 PI))

simplify7.1s

Counts
43 → 90
Calls
43 calls:
Slowest
886.0ms
(* (sqrt 1/6) (pow (* (log u1) -2) (/ 0.5 2)))
837.0ms
(+ (* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))) 0.5)
654.0ms
(* (sqrt 1/6) (pow (* (log u1) -2) (/ 0.5 2)))
610.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
418.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 6)
1.0b
(cbrt 6)
1.0b
(cbrt 6)
0.4b
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
362×add-exp-log
182×prod-exp
148×div-exp
40×rec-exp 1-exp
34×times-frac associate-*r* pow-exp
32×add-cbrt-cube
31×add-sqr-sqrt
26×cbrt-prod
24×*-un-lft-identity add-cube-cbrt
18×cbrt-unprod
17×pow-to-exp
13×cbrt-undiv
9×pow1
8×sqr-pow
6×frac-times unpow-prod-down associate-*l/
5×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×un-div-inv
1×associate-*l* *-commutative div-inv
Counts
4 → 199
Calls
4 calls:
Slowest
83.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
1.0ms
(cbrt 6)
1.0ms
(cbrt 6)
1.0ms
(cbrt 6)

series1.1s

Counts
4 → 6
Calls
4 calls:
Slowest
1.1s
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
0.0ms
(cbrt 6)
0.0ms
(cbrt 6)
0.0ms
(cbrt 6)

simplify46.1s

Counts
170 → 205
Calls
170 calls:
Slowest
1.1s
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
823.0ms
(+ (+ (log (/ 1 (cbrt 6))) (- (log (cbrt 6)))) (- (* (log (* -2 (log u1))) 0.5) (log (cbrt 6))))
699.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
689.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
660.0ms
(+ (log (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6)))) (log (/ (pow (* -2 (log u1)) 0.5) (cbrt 6))))

prune3.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes482.0ms

Accuracy

0% (0.4b remaining)

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

bsearch4.0ms

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.9s8000×body80valid
382.0ms8000×pre80true