Details

Time bar (total: 1.7m)

sample412.0ms

Algorithm
intervals
Results
212.0ms256×body80valid
20.0ms256×pre80true

simplify1.1s

Counts
1 → 1
Calls
1 calls:
Slowest
1.1s
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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)

rewrite67.0ms

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
25.0ms
(* u2 (* 2 PI))
23.0ms
(pow (* -2 (log u1)) 0.5)
15.0ms
(/ (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)
503.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
368.0ms
(pow (* -2 (log u1)) 0.5)
43.0ms
(* u2 (* 2 PI))

simplify12.6s

Counts
68 → 105
Calls
68 calls:
Slowest
853.0ms
(+ (* 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)
725.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
685.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
519.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
448.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
25×add-sqr-sqrt
24×prod-exp
16×*-un-lft-identity
14×add-cbrt-cube associate-*r* add-cube-cbrt
13×times-frac
12×pow1
10×pow-exp
8×div-exp associate-*l*
6×unswap-sqr
5×pow-to-exp cbrt-unprod sqr-pow
4×expm1-log1p-u rec-exp 1-exp pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv associate-*r/ un-div-inv fma-udef div-inv
Counts
4 → 107
Calls
4 calls:
Slowest
14.0ms
(* (pow (* -2 (log u1)) 0.5) (/ 1 6))
12.0ms
(* u2 (* 2 PI))
9.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) (/ 1 6)) 0.5)

series1.8s

Counts
4 → 12
Calls
4 calls:
Slowest
973.0ms
(* (pow (* -2 (log u1)) 0.5) (/ 1 6))
420.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) (/ 1 6)) 0.5)
353.0ms
(pow (* -2 (log u1)) 0.5)
36.0ms
(* u2 (* 2 PI))

simplify13.1s

Counts
74 → 119
Calls
74 calls:
Slowest
989.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt (/ 1 6)))
722.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
660.0ms
(+ (* 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)
576.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt (/ 1 6)))
439.0ms
(+ (log (pow (* -2 (log u1)) 0.5)) (- (log 1) (log 6)))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
26×add-exp-log
19×exp-sum
11×pow1 add-cbrt-cube
10×unpow-prod-down sqr-pow
8×div-exp
5×rem-log-exp prod-exp associate-/l*
4×expm1-log1p-u exp-prod pow-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* pow-prod-down cbrt-unprod div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv clear-num frac-2neg exp-diff associate-*r* *-commutative rem-exp-log
Counts
4 → 133
Calls
4 calls:
Slowest
12.0ms
(* u2 (* 2 PI))
11.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
7.0ms
(exp (log (/ (pow (* -2 (log u1)) 0.5) 6)))
2.0ms
(log (/ (pow (* -2 (log u1)) 0.5) 6))

series3.2s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(log (/ (pow (* -2 (log u1)) 0.5) 6))
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
970.0ms
(exp (log (/ (pow (* -2 (log u1)) 0.5) 6)))
37.0ms
(* u2 (* 2 PI))

simplify23.5s

Counts
111 → 145
Calls
111 calls:
Slowest
927.0ms
(log (* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
719.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
704.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
655.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
527.0ms
(log (/ (pow (* -2 (log u1)) (/ 0.5 2)) (* (cbrt 6) (cbrt 6))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
43×add-sqr-sqrt times-frac
34×prod-exp
32×*-un-lft-identity add-cube-cbrt
22×pow-exp
20×div-exp associate-*r*
16×add-cbrt-cube
14×sqr-pow
13×pow-unpow
12×pow1
11×pow-to-exp
9×unpow-prod-down
8×associate-*l*
6×unswap-sqr
5×cbrt-unprod associate-/l*
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×cbrt-undiv pow-pow *-commutative
1×clear-num frac-2neg associate-*r/
Counts
4 → 156
Calls
4 calls:
Slowest
22.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6))
12.0ms
(* u2 (* 2 PI))
11.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
9.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 6)

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
971.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (/ (pow (* -2 (log u1)) (/ 0.5 2)) 6))
946.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 6)
379.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
60.0ms
(* u2 (* 2 PI))

simplify31.4s

Counts
136 → 168
Calls
136 calls:
Slowest
764.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
693.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.25))
681.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
600.0ms
(/ (pow (* -2 (log u1)) (/ (/ 0.5 2) 2)) (sqrt 6))
566.0ms
(/ (pow (* -2 (log u1)) (/ (/ 0.5 2) 2)) (sqrt 6))

prune2.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes400.0ms

Accuracy

0% (0.4b remaining)

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

bsearch3.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.2s8000×body80valid
734.0ms8000×pre80true