Details

Time bar (total: 1.4m)

sample174.0ms

Algorithm
intervals
Results
103.0ms256×body80valid
13.0ms256×pre80true

simplify910.0ms

Calls
1 calls:
Slowest
909.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (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)

rewrite35.0ms

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
Calls
4 calls:
Slowest
14.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
13.0ms
(* 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)

series1.8s

Calls
4 calls:
Slowest
972.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
478.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
313.0ms
(pow (* -2 (log u1)) 0.5)
32.0ms
(* u2 (* 2 PI))

simplify12.6s

Calls
68 calls:
Slowest
824.0ms
(+ (* 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)
730.0ms
(/ (pow (* -2 (log u1)) 0.5) (sqrt 6))
628.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
541.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
422.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (* -2 (log u1)) 0.5) (/ 1 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) (/ 1 6)) 0.5)

rewrite69.0ms

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
Calls
4 calls:
Slowest
29.0ms
(* (pow (* -2 (log u1)) 0.5) (/ 1 6))
27.0ms
(* u2 (* 2 PI))
11.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) (/ 1 6)) 0.5)

series2.0s

Calls
4 calls:
Slowest
1.0s
(* (pow (* -2 (log u1)) 0.5) (/ 1 6))
503.0ms
(fma (cos (* u2 (* 2 PI))) (* (pow (* -2 (log u1)) 0.5) (/ 1 6)) 0.5)
420.0ms
(pow (* -2 (log u1)) 0.5)
44.0ms
(* u2 (* 2 PI))

simplify12.1s

Calls
74 calls:
Slowest
851.0ms
(+ (* 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)
645.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt (/ 1 6)))
634.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
631.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt (/ 1 6)))
403.0ms
(+ (log (pow (* -2 (log u1)) 0.5)) (- 0 (log 6)))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (pow (* -2 (log u1)) 0.5) 1) 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) 1) 6) 0.5)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log
14×add-cbrt-cube prod-exp
12×pow1
9×div-exp
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-exp
4×expm1-log1p-u 1-exp pow-prod-down cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow associate-/r* times-frac associate-*l*
2×cbrt-undiv pow-pow
1×clear-num unpow-prod-down frac-2neg associate-*r* *-commutative fma-udef div-inv associate-/l* sqr-pow
Calls
4 calls:
Slowest
19.0ms
(* u2 (* 2 PI))
13.0ms
(/ (* (pow (* -2 (log u1)) 0.5) 1) 6)
10.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (* (pow (* -2 (log u1)) 0.5) 1) 6) 0.5)

series2.4s

Calls
4 calls:
Slowest
1.4s
(/ (* (pow (* -2 (log u1)) 0.5) 1) 6)
515.0ms
(fma (cos (* u2 (* 2 PI))) (/ (* (pow (* -2 (log u1)) 0.5) 1) 6) 0.5)
413.0ms
(pow (* -2 (log u1)) 0.5)
58.0ms
(* u2 (* 2 PI))

simplify7.0s

Calls
47 calls:
Slowest
777.0ms
(+ (* 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)
530.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
384.0ms
(- (+ (log (pow (* -2 (log u1)) 0.5)) 0) (log 6))
384.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
362.0ms
(* (* (* u2 u2) u2) (* (* (* 2 2) 2) (* (* PI PI) PI)))

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6))
0.3b
(* (pow (* -2 (log u1)) (/ 0.5 2)) (* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6)))
0.2b
(* u2 (* 2 PI))
0.0b
(pow (* -2 (log u1)) (/ 0.5 2))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
264×add-exp-log
189×prod-exp
76×pow-exp
40×div-exp
38×pow-to-exp
32×add-sqr-sqrt
23×*-un-lft-identity add-cbrt-cube
22×times-frac
21×add-cube-cbrt
20×rec-exp 1-exp
15×associate-*r*
13×pow-unpow associate-*l*
12×pow1
10×cbrt-unprod
6×unswap-sqr sqr-pow
4×expm1-log1p-u pow-prod-down associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×unpow-prod-down *-commutative
2×cbrt-undiv pow-pow un-div-inv div-inv
Calls
4 calls:
Slowest
62.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6)))
29.0ms
(* u2 (* 2 PI))
21.0ms
(* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6))
12.0ms
(pow (* -2 (log u1)) (/ 0.5 2))

series2.7s

Calls
4 calls:
Slowest
1.2s
(* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6))
1.1s
(* (pow (* -2 (log u1)) (/ 0.5 2)) (* (pow (* -2 (log u1)) (/ 0.5 2)) (/ 1 6)))
417.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
71.0ms
(* u2 (* 2 PI))

simplify32.3s

Calls
161 calls:
Slowest
667.0ms
(+ (* (+ (log -2) (log (log u1))) (/ 0.5 2)) (+ (log (pow (* -2 (log u1)) (/ 0.5 2))) (- (log 6))))
642.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
638.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.25))
466.0ms
(+ (* (log (* -2 (log u1))) (/ 0.5 2)) (+ (* (log (* -2 (log u1))) (/ 0.5 2)) (- (log 1) (log 6))))
462.0ms
(+ (* (log (* -2 (log u1))) (/ 0.5 2)) (+ (* (log (* -2 (log u1))) (/ 0.5 2)) (- (log 1) (log 6))))

prune3.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes333.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.3s8000×body80valid
474.0ms8000×pre80true