Details

Time bar (total: 2.4m)

sample173.0ms

Algorithm
intervals
Results
65.0ms256×body80valid
14.0ms256×pre80true

simplify753.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
752.0ms
(+ (* (* (/ 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

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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
17.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
15.0ms
(* 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

Counts
4 → 12
Calls
4 calls:
Slowest
960.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
466.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
326.0ms
(pow (* -2 (log u1)) 0.5)
42.0ms
(* u2 (* 2 PI))

simplify12.5s

Counts
68 → 105
Calls
68 calls:
Slowest
976.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
687.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
683.0ms
(+ (* 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)
488.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
451.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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
27.0ms
(* u2 (* 2 PI))
26.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
12.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
11.0ms
(pow (* -2 (log u1)) 0.5)

series2.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
1.0s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
379.0ms
(pow (* -2 (log u1)) 0.5)
39.0ms
(* u2 (* 2 PI))

simplify49.0s

Counts
218 → 206
Calls
218 calls:
Slowest
813.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) 0.5)))
775.0ms
(- (log 1) (log (/ 6 (pow (* -2 (log u1)) 0.5))))
756.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
733.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
729.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

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
14×associate-*l*
13×*-un-lft-identity add-cube-cbrt
11×pow1
9×times-frac
8×unpow-prod-down
6×cbrt-unprod associate-/l*
4×expm1-log1p-u cbrt-undiv associate-*r* 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
37.0ms
(/ 1 (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) 6))
36.0ms
(* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) 6)
18.0ms
(* u2 (* 2 PI))
13.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))

series3.4s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
1.1s
(/ 1 (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) 6))
1.1s
(* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) 6)
52.0ms
(* u2 (* 2 PI))

simplify46.4s

Counts
184 → 276
Calls
184 calls:
Slowest
772.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
738.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
719.0ms
(- (log 1) (+ (* (- (log 1) (log (* (pow -2 1.0) (pow (log u1) 1.0)))) 0.5) (log 6)))
664.0ms
(+ (log (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (log 6))
626.0ms
(- (log 1) (+ (* (- (log 1) (+ (* (log -2) 1.0) (log (pow (log u1) 1.0)))) 0.5) (log 6)))

prune3.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)
0.3b
(* u2 PI)
0.2b
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)
0.0b
(* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI))))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×pow-exp
31×prod-exp
14×add-sqr-sqrt pow-to-exp
9×*-un-lft-identity add-cube-cbrt
8×add-cbrt-cube associate-*l*
7×pow1
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow unswap-sqr sqr-pow
2×unpow-prod-down pow-pow pow-prod-down *-commutative cbrt-unprod
1×fma-udef
Counts
4 → 94
Calls
4 calls:
Slowest
52.0ms
(* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI))))
10.0ms
(* u2 PI)
7.0ms
(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)

series2.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.3s
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)
657.0ms
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)
651.0ms
(* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI))))
33.0ms
(* u2 PI)

simplify12.6s

Counts
60 → 106
Calls
60 calls:
Slowest
1.3s
(+ (* 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)
795.0ms
(* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI))))
600.0ms
(* (* (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)) (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)) (* (* (cos (* 2 (* u2 PI))) (cos (* 2 (* u2 PI)))) (cos (* 2 (* u2 PI)))))
556.0ms
(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)
510.0ms
(* (+ (log (pow (log u1) 1.0)) (log (pow -2 1.0))) 0.5)

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes532.0ms

Accuracy

0% (0.4b remaining)

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

bsearch4.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
2.0s8000×body80valid
430.0ms8000×pre80true