Details

Time bar (total: 3.2m)

sample327.0ms

Algorithm
intervals
Results
145.0ms256×body80valid
12.0ms256×pre80true

simplify514.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
513.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)
0.2b
(* 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)

rewrite39.0ms

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
16.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
14.0ms
(* u2 (* 2 PI))
5.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
1.5s
(/ (pow (* -2 (log u1)) 0.5) 6)
519.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
373.0ms
(pow (* -2 (log u1)) 0.5)
51.0ms
(* u2 (* 2 PI))

simplify24.0s

Counts
122 → 105
Calls
122 calls:
Slowest
942.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
780.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
761.0ms
(+ (* 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)
621.0ms
(/ (pow (* -2 (log u1)) 0.5) 1)
620.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative pow-flip inv-pow
Counts
4 → 194
Calls
4 calls:
Slowest
25.0ms
(* u2 (* 2 PI))
13.0ms
(pow (* -2 (log u1)) 0.5)
9.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
6.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))

series2.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
1.1s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
424.0ms
(pow (* -2 (log u1)) 0.5)
47.0ms
(* u2 (* 2 PI))

simplify1.1m

Counts
280 → 206
Calls
280 calls:
Slowest
906.0ms
(/ 1 (/ (* (cbrt 6) (cbrt 6)) (pow (* -2 (log u1)) (/ 0.5 2))))
860.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
710.0ms
(/ (sqrt 1) (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
697.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
692.0ms
(/ (cbrt 1) (/ 1 (pow (* -2 (log u1)) 0.5)))

prune2.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
0.3b
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
0.2b
(* u2 (* 2 PI))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
431×add-exp-log
270×prod-exp
214×pow-exp
168×div-exp
94×pow-to-exp
84×rec-exp 1-exp
21×add-cbrt-cube
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×associate-*r*
11×pow1
9×times-frac
8×unpow-prod-down
6×associate-*l* cbrt-unprod associate-/l*
4×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×div-inv pow-flip unswap-sqr
2×clear-num associate-/r* frac-2neg *-commutative inv-pow sqr-pow
Counts
4 → 264
Calls
4 calls:
Slowest
43.0ms
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
28.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
23.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
20.0ms
(* u2 (* 2 PI))

series3.4s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
1.1s
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
1.1s
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
62.0ms
(* u2 (* 2 PI))

simplify1.2m

Counts
283 → 276
Calls
283 calls:
Slowest
818.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
810.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
777.0ms
(* (* (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))) (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
690.0ms
(* (* (* 6 6) 6) (* (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
685.0ms
(- 0 (+ (log 6) (* (- (log 1) (+ (* (log -2) 1.0) (* (log (log u1)) 1.0))) 0.5)))

prune3.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-cbrt-cube add-exp-log
19×pow-prod-down
12×add-sqr-sqrt
10×prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l*
4×expm1-log1p-u pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×pow-plus unswap-sqr
1×pow2 swap-sqr fma-udef
Counts
4 → 90
Calls
4 calls:
Slowest
28.0ms
(* (* u2 PI) (* u2 PI))
8.0ms
(* u2 PI)
5.0ms
(* u2 PI)
0.0ms
(fma (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) 0.5)

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.4s
(fma (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) 0.5)
67.0ms
(* (* u2 PI) (* u2 PI))
38.0ms
(* u2 PI)
37.0ms
(* u2 PI)

simplify9.6s

Counts
101 → 102
Calls
101 calls:
Slowest
824.0ms
(* (* (* (* u2 u2) u2) (* (* PI PI) PI)) (* (* (* u2 u2) u2) (* (* PI PI) PI)))
655.0ms
(* (* (* (* u2 PI) (* u2 PI)) (* u2 PI)) (* (* (* u2 PI) (* u2 PI)) (* u2 PI)))
609.0ms
(* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)))
608.0ms
(expm1 (fma (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) 0.5))
558.0ms
(log1p (fma (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (- 1/6 (* (* (* u2 PI) (* u2 PI)) 1/3)) 0.5))

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes387.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.5s8000×body80valid
413.0ms8000×pre80true