Details

Time bar (total: 1.7m)

sample195.0ms

Algorithm
intervals
Results
54.0ms256×pre80true
44.0ms256×body80valid

simplify1.4s

Counts
1 → 1
Calls
1 calls:
Slowest
1.4s
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

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)))

rewrite117.0ms

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
45.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
25.0ms
(* u2 (* 2 PI))
24.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
18.0ms
(pow (* -2 (log u1)) 0.5)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
511.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
500.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
365.0ms
(pow (* -2 (log u1)) 0.5)
33.0ms
(* u2 (* 2 PI))

simplify11.4s

Counts
64 → 103
Calls
64 calls:
Slowest
777.0ms
(+ (* 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)
757.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
587.0ms
(* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))
576.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
459.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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
59.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
31.0ms
(* u2 (* 2 PI))
22.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
10.0ms
(pow (* -2 (log u1)) 0.5)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
485.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
453.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
367.0ms
(pow (* -2 (log u1)) 0.5)
43.0ms
(* u2 (* 2 PI))

simplify8.2s

Counts
45 → 87
Calls
45 calls:
Slowest
878.0ms
(* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI)))))
874.0ms
(+ (* 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)
492.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
424.0ms
(- (log (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (log 6))
391.0ms
(- (+ (log (cos (* u2 (* 2 PI)))) (log (pow (* -2 (log u1)) 0.5))) (log 6))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 6 (pow (* -2 (log u1)) 0.5))
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)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
34×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×div-exp
12×pow1
6×pow-exp prod-exp div-inv associate-/l*
4×cbrt-undiv pow-prod-down insert-posit16 add-log-exp
3×pow-to-exp pow-unpow associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 174
Calls
4 calls:
Slowest
34.0ms
(/ (cos (* u2 (* 2 PI))) (/ 6 (pow (* -2 (log u1)) 0.5)))
24.0ms
(* u2 (* 2 PI))
10.0ms
(pow (* -2 (log u1)) 0.5)
8.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.2s
(/ 6 (pow (* -2 (log u1)) 0.5))
472.0ms
(/ (cos (* u2 (* 2 PI))) (/ 6 (pow (* -2 (log u1)) 0.5)))
406.0ms
(pow (* -2 (log u1)) 0.5)
59.0ms
(* u2 (* 2 PI))

simplify47.5s

Counts
212 → 186
Calls
212 calls:
Slowest
842.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
834.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
719.0ms
(/ (sqrt (cos (* u2 (* 2 PI)))) (/ (* (cbrt 6) (cbrt 6)) (sqrt (pow (* -2 (log u1)) 0.5))))
659.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
559.0ms
(/ 1 (/ (* (cbrt 6) (cbrt 6)) (pow (* -2 (log u1)) (/ 0.5 2))))

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
0.3b
(exp (log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))))
0.3b
(* u2 (* 2 PI))
0.2b
(log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
24×add-sqr-sqrt
16×*-un-lft-identity associate-*l* add-cube-cbrt
14×add-cbrt-cube
13×prod-exp
11×pow1 times-frac
6×log-prod associate-*r*
5×cbrt-unprod
4×log-div exp-prod div-exp pow-exp insert-posit16 add-log-exp unswap-sqr
3×exp-sum pow-prod-down sqr-pow
2×pow-to-exp flip3-+ exp-diff log-pow *-commutative flip-+
1×cbrt-undiv unpow-prod-down rem-log-exp associate-*l/ div-inv rem-exp-log
Counts
4 → 94
Calls
4 calls:
Slowest
40.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
24.0ms
(* u2 (* 2 PI))
7.0ms
(exp (log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))))
5.0ms
(log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
540.0ms
(exp (log (+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))))
505.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
57.0ms
(* u2 (* 2 PI))

simplify14.5s

Counts
71 → 106
Calls
71 calls:
Slowest
874.0ms
(+ (* 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)
859.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
806.0ms
(log (+ (* 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))
596.0ms
(* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))
531.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes332.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.5s8000×body80valid
441.0ms8000×pre80true