Details

Time bar (total: 2.9m)

sample214.0ms

Algorithm
intervals
Results
108.0ms256×body80valid
14.0ms256×pre80true

simplify421.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
420.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (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)))

rewrite83.0ms

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
42.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
13.0ms
(pow (* -2 (log u1)) 0.5)
13.0ms
(* u2 (* 2 PI))
12.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
543.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
458.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
373.0ms
(pow (* -2 (log u1)) 0.5)
53.0ms
(* u2 (* 2 PI))

simplify11.6s

Counts
64 → 103
Calls
64 calls:
Slowest
875.0ms
(+ (* 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)
769.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
668.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
656.0ms
(* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))
552.0ms
(* (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

localize38.0ms

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))

rewrite102.0ms

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
37.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
27.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
26.0ms
(* u2 (* 2 PI))
10.0ms
(pow (* -2 (log u1)) 0.5)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
541.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
495.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
428.0ms
(pow (* -2 (log u1)) 0.5)
36.0ms
(* u2 (* 2 PI))

simplify8.3s

Counts
45 → 87
Calls
45 calls:
Slowest
887.0ms
(+ (* 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)
804.0ms
(* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI)))))
747.0ms
(pow (* -2 (- (log -1) (log (/ -1 u1)))) 0.5)
464.0ms
(- (log (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (log 6))
362.0ms
(/ (* (* (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (* (* 6 6) 6))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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
50.0ms
(/ (cos (* u2 (* 2 PI))) (/ 6 (pow (* -2 (log u1)) 0.5)))
27.0ms
(* u2 (* 2 PI))
17.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
512.0ms
(/ (cos (* u2 (* 2 PI))) (/ 6 (pow (* -2 (log u1)) 0.5)))
394.0ms
(pow (* -2 (log u1)) 0.5)
61.0ms
(* u2 (* 2 PI))

simplify48.4s

Counts
212 → 186
Calls
212 calls:
Slowest
865.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
827.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
780.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
668.0ms
(/ (sqrt (cos (* u2 (* 2 PI)))) (/ (* (cbrt 6) (cbrt 6)) (* (cbrt (pow (* -2 (log u1)) 0.5)) (cbrt (pow (* -2 (log u1)) 0.5)))))
549.0ms
(/ (* (* 6 6) 6) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))

prune2.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
0.5b
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
0.4b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
0.4b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
424×add-exp-log
281×prod-exp
81×div-exp
80×pow-exp
52×add-cbrt-cube
45×add-sqr-sqrt
40×pow-to-exp
34×times-frac
29×*-un-lft-identity add-cube-cbrt
27×associate-*l*
25×cbrt-unprod
11×pow1 associate-*r*
9×cbrt-undiv
8×unswap-sqr
7×associate-*l/
6×sqr-pow
4×insert-posit16 associate-/l* add-log-exp difference-of-squares
3×associate-/r* *-commutative div-inv
2×unpow-prod-down flip3-- associate-/r/ flip-- associate-/l/
1×pow2 frac-times clear-num frac-2neg pow-plus div-sub swap-sqr pow-prod-down associate-*r/ pow-sqr pow-prod-up
Counts
4 → 231
Calls
4 calls:
Slowest
149.0ms
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
25.0ms
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
24.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
22.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
892.0ms
(/ (- (* 0.5 0.5) (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))) (- 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
825.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
518.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
456.0ms
(* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))

simplify1.4m

Counts
224 → 243
Calls
224 calls:
Slowest
1.1s
(* (* (/ (* (* (cos (* u2 (* 2 PI))) (cos (* u2 (* 2 PI)))) (cos (* u2 (* 2 PI)))) (* (* 6 6) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))) (* (/ (* (* (cos (* u2 (* 2 PI))) (cos (* u2 (* 2 PI)))) (cos (* u2 (* 2 PI)))) (* (* 6 6) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
1.0s
(* (* (/ (* (* (cos (* u2 (* 2 PI))) (cos (* u2 (* 2 PI)))) (cos (* u2 (* 2 PI)))) (* (* 6 6) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))) (* (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))))
1.0s
(* (* (/ (* (* (cos (* u2 (* 2 PI))) (cos (* u2 (* 2 PI)))) (cos (* u2 (* 2 PI)))) (* (* 6 6) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))) (* (* (* (/ (cos (* u2 (* 2 PI))) 6) (/ (cos (* u2 (* 2 PI))) 6)) (/ (cos (* u2 (* 2 PI))) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
980.0ms
(* (* (* (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))) (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))) (* (/ (* (* (cos (* u2 (* 2 PI))) (cos (* u2 (* 2 PI)))) (cos (* u2 (* 2 PI)))) (* (* 6 6) 6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
845.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))

prune4.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes379.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.2s8000×body80valid
830.0ms8000×pre80true