Details

Time bar (total: 2.4m)

sample238.0ms

Algorithm
intervals
Results
78.0ms256×body80valid
17.0ms256×pre80true

simplify700.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
699.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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
27.0ms
(* u2 (* 2 PI))
8.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
5.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
459.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
348.0ms
(pow (* -2 (log u1)) 0.5)
54.0ms
(* u2 (* 2 PI))

simplify23.7s

Counts
122 → 105
Calls
122 calls:
Slowest
860.0ms
(+ (* 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)
811.0ms
(- (pow (* -2 (log u1)) 0.5))
794.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
611.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
525.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

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)

rewrite51.0ms

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 associate-*l* add-cube-cbrt
4×expm1-log1p-u associate-*r* pow-prod-down pow-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow sqr-pow
2×pow-to-exp unpow-prod-down pow-pow *-commutative unswap-sqr
1×fma-udef
Counts
4 → 78
Calls
4 calls:
Slowest
25.0ms
(* u2 (* 2 PI))
15.0ms
(* (pow (* -2 (log u1)) 0.5) 1/6)
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
909.0ms
(* (pow (* -2 (log u1)) 0.5) 1/6)
468.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) 1/6) 0.5)
347.0ms
(pow (* -2 (log u1)) 0.5)
37.0ms
(* u2 (* 2 PI))

simplify20.1s

Counts
92 → 90
Calls
92 calls:
Slowest
1.0s
(* (pow (* -2 (log u1)) 0.5) (sqrt 1/6))
826.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
695.0ms
(+ (* 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)
643.0ms
(* (* (* u2 (* 2 PI)) (* u2 (* 2 PI))) (* u2 (* 2 PI)))
617.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) 1/6)

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2)))
0.4b
(* (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 1/6)
0.3b
(* u2 (* 2 PI))
0.1b
(pow (* -2 (log u1)) (/ 0.5 2))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
69×prod-exp
34×pow-exp
22×add-sqr-sqrt
17×pow-to-exp *-un-lft-identity add-cube-cbrt
16×add-cbrt-cube
14×pow1
13×pow-unpow
9×times-frac associate-*r* associate-*l* sqr-pow
7×cbrt-unprod
6×pow-prod-down
5×unpow-prod-down swap-sqr unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×pow-pow
1×pow2 pow-sqr pow-prod-up div-inv
Counts
4 → 138
Calls
4 calls:
Slowest
74.0ms
(* (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 1/6)
25.0ms
(* u2 (* 2 PI))
18.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2)))
6.0ms
(pow (* -2 (log u1)) (/ 0.5 2))

series2.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(* (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 1/6)
940.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2)))
398.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
59.0ms
(* u2 (* 2 PI))

simplify39.1s

Counts
158 → 150
Calls
158 calls:
Slowest
809.0ms
(log (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))))
743.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
741.0ms
(pow (* -2 (log u1)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt 2) (cbrt 2))))
692.0ms
(pow (* -2 (log u1)) (/ (sqrt 0.5) (* (cbrt 2) (cbrt 2))))
660.0ms
(+ (+ (log (pow (* -2 (log u1)) (/ 0.5 2))) (log (pow (* -2 (log u1)) (/ 0.5 2)))) (log 1/6))

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
52×prod-exp
34×pow-exp
22×add-sqr-sqrt
18×*-un-lft-identity add-cube-cbrt
17×pow-to-exp div-exp
16×add-cbrt-cube
13×pow-unpow
12×pow1 times-frac
9×sqr-pow
8×associate-*l*
6×associate-*r*
5×unpow-prod-down swap-sqr pow-prod-down cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×associate-/r*
2×cbrt-undiv pow-pow *-commutative div-inv
1×pow2 clear-num frac-2neg pow-sqr pow-prod-up associate-/l*
Counts
4 → 141
Calls
4 calls:
Slowest
28.0ms
(/ (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 6)
25.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2)))
13.0ms
(* u2 (* 2 PI))
6.0ms
(pow (* -2 (log u1)) (/ 0.5 2))

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
986.0ms
(/ (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 6)
914.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2)))
394.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
59.0ms
(* u2 (* 2 PI))

simplify42.6s

Counts
165 → 153
Calls
165 calls:
Slowest
886.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
829.0ms
(pow (* -2 (- (log -1) (log (/ -1 u1)))) 0.25)
805.0ms
(* (* (/ (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 6) (/ (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 6)) (/ (* (pow (* -2 (log u1)) (/ 0.5 2)) (pow (* -2 (log u1)) (/ 0.5 2))) 6))
691.0ms
(* (sqrt (pow (* -2 (log u1)) (/ 0.5 2))) (pow (* -2 (log u1)) (/ (/ 0.5 2) 2)))
691.0ms
(pow (* -2 (log u1)) (/ 1 (* (cbrt 2) (cbrt 2))))

prune2.0s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes366.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.9s8000×body80valid
490.0ms8000×pre80true