Details

Time bar (total: 1.7m)

sample151.0ms

Algorithm
intervals
Results
53.0ms256×body80valid
11.0ms256×pre80true

simplify509.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
508.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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)))

rewrite61.0ms

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
29.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))
12.0ms
(* u2 (* 2 PI))
12.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
5.0ms
(pow (* -2 (log u1)) 0.5)

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
577.0ms
(+ 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))
369.0ms
(pow (* -2 (log u1)) 0.5)
64.0ms
(* u2 (* 2 PI))

simplify12.6s

Counts
64 → 103
Calls
64 calls:
Slowest
902.0ms
(+ (* 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)
814.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
667.0ms
(* (/ (sqrt (cos (* u2 (* 2 PI)))) (sqrt 6)) (sqrt (pow (* -2 (log u1)) 0.5)))
617.0ms
(* (sqrt (/ (cos (* u2 (* 2 PI))) 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
598.0ms
(* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite95.0ms

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
55.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
22.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
12.0ms
(* u2 (* 2 PI))
5.0ms
(pow (* -2 (log u1)) 0.5)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
502.0ms
(+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))
483.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
371.0ms
(pow (* -2 (log u1)) 0.5)
52.0ms
(* u2 (* 2 PI))

simplify8.2s

Counts
45 → 87
Calls
45 calls:
Slowest
897.0ms
(* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI)))))
774.0ms
(+ (* 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)
444.0ms
(- (log (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5))) (log 6))
414.0ms
(- (+ (log (cos (* u2 (* 2 PI)))) (log (pow (* -2 (log u1)) 0.5))) (log 6))
401.0ms
(/ (* (* (* (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

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×*-un-lft-identity add-cbrt-cube
11×pow1
10×add-sqr-sqrt add-cube-cbrt
8×log-prod prod-exp
5×div-exp
4×log-div exp-prod exp-sum cbrt-unprod insert-posit16 add-log-exp
3×associate-/r* times-frac associate-*l* pow-prod-down
2×cbrt-undiv flip3-+ exp-diff pow-exp log-pow flip-+ distribute-lft-out
1×pow-to-exp clear-num frac-2neg rem-log-exp associate-*r* *-commutative div-inv associate-/l* rem-exp-log
Counts
4 → 79
Calls
4 calls:
Slowest
42.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
12.0ms
(* u2 (* 2 PI))
8.0ms
(exp (log (+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))))
4.0ms
(log (+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)))

series1.7s

Counts
4 → 12
Calls
4 calls:
Slowest
670.0ms
(log (+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)))
513.0ms
(/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)
482.0ms
(exp (log (+ 0.5 (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))))
69.0ms
(* u2 (* 2 PI))

simplify12.0s

Counts
53 → 91
Calls
53 calls:
Slowest
1.0s
(+ (* 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)
855.0ms
(log (+ (* 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))
724.0ms
(* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI)))))
588.0ms
(exp (log (- (* 0.5 0.5) (* (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6) (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6)))))
582.0ms
(log (- (* 0.5 0.5) (* (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6) (/ (* (cos (* u2 (* 2 PI))) (pow (* -2 (log u1)) 0.5)) 6))))

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
241×add-exp-log
207×prod-exp
114×pow-exp
57×pow-to-exp
27×add-sqr-sqrt
19×associate-*l*
17×*-un-lft-identity add-cube-cbrt
14×add-cbrt-cube associate-*r*
10×times-frac sqr-pow
8×unswap-sqr
6×pow1 cbrt-unprod
5×unpow-prod-down swap-sqr
4×pow-prod-down pow-prod-up insert-posit16 add-log-exp
3×*-commutative
2×cbrt-prod pow2 pow3 pow-sqr
1×cbrt-undiv pow-plus pow1/3 div-exp associate-*l/ rem-cbrt-cube div-inv
Counts
4 → 186
Calls
4 calls:
Slowest
130.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))
53.0ms
(* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))
21.0ms
(cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
15.0ms
(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))

series3.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))
993.0ms
(cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
980.0ms
(* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))
477.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (cbrt (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))))

simplify51.1s

Counts
176 → 198
Calls
176 calls:
Slowest
875.0ms
(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)
844.0ms
(* (* (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))) (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5))) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
788.0ms
(* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
753.0ms
(* (* (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5))) (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)))
745.0ms
(+ (+ (* (log (* -2 (log u1))) 0.5) (* (log (* -2 (log u1))) 0.5)) (* (log (* -2 (log u1))) 0.5))

prune2.9s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes428.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.4s8000×body80valid
370.0ms8000×pre80true