Details

Time bar (total: 2.2m)

sample278.0ms

Algorithm
intervals
Results
83.0ms256×body80valid
20.0ms256×pre80true

simplify725.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
724.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

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

rewrite60.0ms

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))
18.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
10.0ms
(pow (* -2 (log u1)) 0.5)
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
1.1s
(/ (pow (* -2 (log u1)) 0.5) 6)
506.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
315.0ms
(pow (* -2 (log u1)) 0.5)
60.0ms
(* u2 (* 2 PI))

simplify12.2s

Counts
68 → 105
Calls
68 calls:
Slowest
858.0ms
(+ (* 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)
760.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
488.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
461.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
423.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

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)

rewrite50.0ms

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
21.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
13.0ms
(* u2 (* 2 PI))
7.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series3.0s

Counts
4 → 12
Calls
4 calls:
Slowest
1.5s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
369.0ms
(pow (* -2 (log u1)) 0.5)
56.0ms
(* u2 (* 2 PI))

simplify49.3s

Counts
218 → 206
Calls
218 calls:
Slowest
826.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
769.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
752.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 6) (cbrt 6)) (pow -2 0.5)))
717.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
685.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) 0.5)))

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 3 expressions with local error:

0.4b
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)
0.2b
(* u2 PI)
0.1b
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
16×pow-exp
10×prod-exp
8×add-sqr-sqrt
7×pow-to-exp
6×pow1 *-un-lft-identity add-cube-cbrt
5×add-cbrt-cube
3×expm1-log1p-u pow-unpow associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-pow pow-prod-down
1×unpow-prod-down *-commutative cbrt-unprod fma-udef unswap-sqr sqr-pow
Counts
3 → 60
Calls
3 calls:
Slowest
19.0ms
(* u2 PI)
15.0ms
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)
1.0ms
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)

series1.9s

Counts
3 → 9
Calls
3 calls:
Slowest
1.3s
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)
602.0ms
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)
37.0ms
(* u2 PI)

simplify5.5s

Counts
33 → 69
Calls
33 calls:
Slowest
875.0ms
(+ (* 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)
699.0ms
(* (+ (* (log (log u1)) 1.0) (log (pow -2 1.0))) 0.5)
450.0ms
(* (+ (log (pow (log u1) 1.0)) (log (pow -2 1.0))) 0.5)
410.0ms
(pow (pow (pow (pow (pow (pow (pow (pow (pow (pow (pow (* (pow (- (log -1) (log (/ -1 u1))) 1.0) (pow -2 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)
331.0ms
(pow (pow (pow (pow (pow (pow (pow (pow (pow (pow (pow (* (pow -2 1.0) (pow (log u1) 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)

prune981.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt 6)
1.0b
(cbrt 6)
1.0b
(cbrt 6)
0.5b
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
362×add-exp-log
182×prod-exp
148×div-exp
40×rec-exp 1-exp
34×times-frac associate-*r* pow-exp
32×add-cbrt-cube
31×add-sqr-sqrt
26×cbrt-prod
24×*-un-lft-identity add-cube-cbrt
18×cbrt-unprod
17×pow-to-exp
13×cbrt-undiv
9×pow1
8×sqr-pow
6×frac-times unpow-prod-down associate-*l/
5×unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down associate-*r/
2×un-div-inv
1×associate-*l* *-commutative div-inv
Counts
4 → 199
Calls
4 calls:
Slowest
51.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
2.0ms
(cbrt 6)
1.0ms
(cbrt 6)
1.0ms
(cbrt 6)

series1.0s

Counts
4 → 6
Calls
4 calls:
Slowest
1.0s
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
0.0ms
(cbrt 6)
0.0ms
(cbrt 6)
0.0ms
(cbrt 6)

simplify46.1s

Counts
170 → 205
Calls
170 calls:
Slowest
784.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
744.0ms
(* (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6))) (/ (pow (* -2 (log u1)) 0.5) (cbrt 6)))
639.0ms
(+ (log (* (/ 1 (cbrt 6)) (/ 1 (cbrt 6)))) (log (/ (pow (* -2 (log u1)) 0.5) (cbrt 6))))
629.0ms
(+ (+ (- (log (cbrt 6))) (- (log (cbrt 6)))) (log (/ (pow (* -2 (log u1)) 0.5) (cbrt 6))))
627.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

prune2.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes303.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.9s8000×body80valid
510.0ms8000×pre80true