Details

Time bar (total: 2.8m)

sample226.0ms

Algorithm
intervals
Results
81.0ms256×body80valid
17.0ms256×pre80true

simplify729.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
728.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune25.0ms

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
(* 1/6 (pow (* -2 (log u1)) 0.5))
0.2b
(* PI (* 2 u2))
0.1b
(pow (* -2 (log u1)) 0.5)
0.0b
(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* PI (* 2 u2)))))

rewrite42.0ms

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* add-log-exp
4×pow-prod-down pow-exp cbrt-unprod insert-posit16
3×pow-unpow sqr-pow
2×pow-to-exp unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 73
Calls
4 calls:
Slowest
12.0ms
(* PI (* 2 u2))
12.0ms
(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* PI (* 2 u2)))))
12.0ms
(* 1/6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series2.0s

Counts
4 → 12
Calls
4 calls:
Slowest
995.0ms
(* 1/6 (pow (* -2 (log u1)) 0.5))
581.0ms
(+ 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* PI (* 2 u2)))))
386.0ms
(pow (* -2 (log u1)) 0.5)
42.0ms
(* PI (* 2 u2))

simplify21.2s

Counts
88 → 85
Calls
88 calls:
Slowest
851.0ms
(+ (* 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)
845.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
779.0ms
(- 0.5 (* (* 1/6 (pow (* -2 (log u1)) 0.5)) (cos (* PI (* 2 u2)))))
680.0ms
(cbrt (* 1/6 (pow (* -2 (log u1)) 0.5)))
661.0ms
(* (cbrt 1/6) (pow (* -2 (log u1)) 0.5))

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
19×prod-exp
17×add-sqr-sqrt
16×add-cbrt-cube
15×associate-*l*
14×pow1
11×*-un-lft-identity add-cube-cbrt
8×sqrt-prod
7×associate-*r* cbrt-unprod
6×pow-exp
5×pow-prod-down
4×insert-posit16 add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow
Counts
4 → 90
Calls
4 calls:
Slowest
29.0ms
(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
13.0ms
(* PI (* 2 u2))
11.0ms
(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
10.0ms
(pow (* -2 (log u1)) 0.5)

series2.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))
979.0ms
(* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))
412.0ms
(pow (* -2 (log u1)) 0.5)
35.0ms
(* PI (* 2 u2))

simplify27.8s

Counts
105 → 102
Calls
105 calls:
Slowest
1.1s
(* (sqrt (sqrt 1/6)) (pow (* -2 (log u1)) (/ 0.5 2)))
871.0ms
(* (* (* (sqrt 1/6) (sqrt 1/6)) (sqrt 1/6)) (* (* (* (sqrt 1/6) (sqrt 1/6)) (sqrt 1/6)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
781.0ms
(* (* (* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))) (* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))) (* (sqrt 1/6) (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5))))
780.0ms
(* (pow (sqrt 1/6) 2) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
757.0ms
(real->posit16 (* (sqrt 1/6) (pow (* -2 (log u1)) 0.5)))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5))
0.2b
(* (* u2 PI) (* u2 PI))
0.2b
(* u2 PI)
0.2b
(* u2 PI)

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
46×add-exp-log
31×prod-exp
22×add-cbrt-cube
19×pow-prod-down
17×add-sqr-sqrt
16×pow-exp
12×associate-*r*
11×cbrt-unprod
10×*-un-lft-identity associate-*l* add-cube-cbrt
7×pow-to-exp
4×pow-sqr *-commutative pow-prod-up insert-posit16 add-log-exp unswap-sqr
2×pow-plus associate-*l/ sqr-pow
1×pow2 unpow-prod-down flip3-- swap-sqr flip--
Counts
4 → 107
Calls
4 calls:
Slowest
59.0ms
(* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5))
42.0ms
(* (* u2 PI) (* u2 PI))
11.0ms
(* u2 PI)
10.0ms
(* u2 PI)

series832.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
678.0ms
(* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5))
83.0ms
(* (* u2 PI) (* u2 PI))
39.0ms
(* u2 PI)
33.0ms
(* u2 PI)

simplify18.5s

Counts
119 → 119
Calls
119 calls:
Slowest
954.0ms
(* (cbrt (* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5))) (cbrt (* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5))))
803.0ms
(* (* (* (* u2 u2) u2) (* (* PI PI) PI)) (* (* (* u2 u2) u2) (* (* PI PI) PI)))
690.0ms
(* (* (* (* u2 PI) (* u2 PI)) (* u2 PI)) (* (* (* u2 PI) (* u2 PI)) (* u2 PI)))
654.0ms
(real->posit16 (* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)))
556.0ms
(* (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) (/ 0.5 2)))

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216))
0.5b
(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))
0.4b
(* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216)
0.4b
(* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
506×add-exp-log
455×prod-exp
212×pow-exp
106×pow-to-exp
20×add-cbrt-cube
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity add-cube-cbrt cbrt-unprod sqr-pow
7×associate-*l*
6×pow1 unswap-sqr
5×unpow-prod-down swap-sqr
4×pow-prod-down pow-prod-up insert-posit16 add-log-exp
3×*-commutative
2×pow2 pow-sqr
1×cbrt-prod pow-plus pow1/3 pow3
Counts
4 → 237
Calls
4 calls:
Slowest
122.0ms
(* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216)
95.0ms
(cbrt (* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216))
49.0ms
(* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5))
29.0ms
(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))

series4.2s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5))
1.1s
(* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))
1.1s
(* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216)
1.0s
(cbrt (* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) 1/216))

simplify1.3m

Counts
255 → 249
Calls
255 calls:
Slowest
937.0ms
(* (* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))) (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5))) (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)))
896.0ms
(pow (pow (pow (pow (pow (pow (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0)
875.0ms
(+ (+ (log (pow (* (log u1) -2) 0.5)) (* (log (* (log u1) -2)) 0.5)) (* (log (* (log u1) -2)) 0.5))
831.0ms
(+ (+ (+ (log (pow (* (log u1) -2) 0.5)) (log (pow (* (log u1) -2) 0.5))) (log (pow (* (log u1) -2) 0.5))) (log 1/216))
789.0ms
(* (* (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5))) (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)))

prune3.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.3b remaining)

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

bsearch8.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.0s8000×body80valid
854.0ms8000×pre80true