Details

Time bar (total: 1.3m)

sample322.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
12.0ms256×pre80true

simplify855.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
855.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
16×associate-*l*
14×*-un-lft-identity add-cbrt-cube prod-exp add-cube-cbrt
12×pow1
11×times-frac
6×associate-*r* pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down insert-posit16 unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative sum-log flip3-+ associate-*l/ flip-+ div-inv
Counts
4 → 91
Calls
4 calls:
Slowest
38.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
22.0ms
(* u2 (* 2 PI))
12.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
5.0ms
(pow (* -2 (log u1)) 0.5)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
519.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
473.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
406.0ms
(pow (* -2 (log u1)) 0.5)
37.0ms
(* u2 (* 2 PI))

simplify13.0s

Counts
64 → 103
Calls
64 calls:
Slowest
1.0s
(+ (* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI))))) 0.5)
750.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
650.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
648.0ms
(* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))
580.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
10×*-un-lft-identity
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod insert-posit16
3×pow-unpow associate-/r* times-frac associate-*l*
2×pow-to-exp cbrt-undiv pow-pow
1×+-commutative clear-num sum-log unpow-prod-down frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv distribute-lft-out associate-/l* sqr-pow
Counts
4 → 75
Calls
4 calls:
Slowest
65.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
21.0ms
(* u2 (* 2 PI))
15.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
6.0ms
(pow (* -2 (log u1)) 0.5)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
518.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
511.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
362.0ms
(pow (* -2 (log u1)) 0.5)
59.0ms
(* u2 (* 2 PI))

simplify8.8s

Counts
45 → 87
Calls
45 calls:
Slowest
958.0ms
(+ (* 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)
925.0ms
(* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI)))))
473.0ms
(- (log (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (log 6))
427.0ms
(- (+ (log (cos (* u2 (* 2 PI)))) (log (pow (* -2 (log u1)) 0.5))) (log 6))
424.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
38×associate-*l*
36×add-exp-log
34×add-sqr-sqrt
30×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
21×add-cbrt-cube prod-exp
20×times-frac
16×pow1
10×cbrt-unprod
8×associate-*r*
7×pow-prod-down
6×unswap-sqr
5×sqrt-div
4×associate-*l/ pow-exp *-commutative insert-posit16 add-log-exp sqr-pow
2×pow-to-exp div-inv
1×frac-times unpow-prod-down associate-*r/
Counts
4 → 117
Calls
4 calls:
Slowest
72.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
34.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))
28.0ms
(* u2 (* 2 PI))
28.0ms
(* u2 (* 2 PI))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
548.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5))
525.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) 0.5)))
47.0ms
(* u2 (* 2 PI))
44.0ms
(* u2 (* 2 PI))

simplify16.2s

Counts
94 → 129
Calls
94 calls:
Slowest
933.0ms
(* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (* (sqrt 1/6) (sqrt (cos (* 2 (* u2 PI))))))
699.0ms
(* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5))
688.0ms
(* (sqrt (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (pow (* -2 (log u1)) (/ 0.5 2)))
674.0ms
(* (* (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
663.0ms
(* (sqrt (/ (sqrt (cos (* u2 (* 2 PI)))) (sqrt 6))) (pow (* -2 (log u1)) (/ 0.5 2)))

prune2.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6))
0.3b
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6)))
0.3b
(* u2 (* 2 PI))
0.3b
(* u2 (* 2 PI))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
28×add-sqr-sqrt add-cbrt-cube
24×sqrt-prod
22×times-frac associate-*l* prod-exp
21×*-un-lft-identity add-cube-cbrt
16×pow1
12×associate-*r*
11×cbrt-unprod
10×div-exp
7×pow-prod-down
6×associate-/r*
4×cbrt-undiv pow-exp insert-posit16 add-log-exp
3×*-commutative div-inv unswap-sqr
2×pow-to-exp sqrt-div
1×frac-times clear-num frac-2neg associate-*l/ associate-*r/ associate-/l*
Counts
4 → 120
Calls
4 calls:
Slowest
48.0ms
(/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6))
47.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6)))
28.0ms
(* u2 (* 2 PI))
22.0ms
(* u2 (* 2 PI))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
666.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6)))
638.0ms
(/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6))
61.0ms
(* u2 (* 2 PI))
60.0ms
(* u2 (* 2 PI))

simplify20.0s

Counts
99 → 132
Calls
99 calls:
Slowest
925.0ms
(* (* (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (/ (* (* (* (sqrt (cos (* u2 (* 2 PI)))) (sqrt (cos (* u2 (* 2 PI))))) (sqrt (cos (* u2 (* 2 PI))))) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))) (* (* (sqrt 6) (sqrt 6)) (sqrt 6))))
795.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6)))
641.0ms
(* (* (* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (sqrt (/ (cos (* u2 (* 2 PI))) 6))) (/ (* (* (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5))) (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5))) (* (* (sqrt 6) (sqrt 6)) (sqrt 6))))
528.0ms
(* (sqrt (cos (* u2 (* 2 PI)))) (/ (* (sqrt (cos (* u2 (* 2 PI)))) (pow (* -2 (log u1)) 0.5)) (sqrt 6)))
468.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes387.0ms

Accuracy

0% (0.4b remaining)

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

bsearch5.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.6s8000×body80valid
382.0ms8000×pre80true