Details

Time bar (total: 4.5m)

sample230.0ms

Algorithm
intervals
Results
77.0ms256×body80valid
16.0ms256×pre80true

simplify739.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
738.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune32.0ms

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)
0.3b
(* 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)

rewrite52.0ms

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
19.0ms
(pow (* -2 (log u1)) 0.5)
19.0ms
(* u2 (* 2 PI))
10.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
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
995.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
497.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
412.0ms
(pow (* -2 (log u1)) 0.5)
60.0ms
(* u2 (* 2 PI))

simplify12.0s

Counts
68 → 105
Calls
68 calls:
Slowest
795.0ms
(+ (* 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)
718.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
658.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
560.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
423.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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
26.0ms
(* u2 (* 2 PI))
15.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
13.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
936.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
530.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
345.0ms
(pow (* -2 (log u1)) 0.5)
45.0ms
(* u2 (* 2 PI))

simplify12.3s

Counts
68 → 105
Calls
68 calls:
Slowest
757.0ms
(+ (* 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)
707.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
535.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
457.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
447.0ms
(pow (* -2 (- (log -1) (log (/ -1 u1)))) 0.5)

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

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
22.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
20.0ms
(* u2 (* 2 PI))
11.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
10.0ms
(pow (* -2 (log u1)) 0.5)

series2.9s

Counts
4 → 12
Calls
4 calls:
Slowest
1.4s
(/ 6 (pow (* -2 (log u1)) 0.5))
998.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
363.0ms
(pow (* -2 (log u1)) 0.5)
56.0ms
(* u2 (* 2 PI))

simplify48.7s

Counts
218 → 206
Calls
218 calls:
Slowest
822.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
803.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
790.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) 0.5)))
763.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
719.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 6) (cbrt 6)) (pow -2 0.5)))

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
1556×add-exp-log
1242×prod-exp
796×pow-exp
504×div-exp
424×pow-to-exp
252×rec-exp 1-exp
25×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 cbrt-unprod
6×associate-*l* associate-/l*
5×cbrt-undiv pow-prod-down
4×expm1-log1p-u 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 → 580
Calls
4 calls:
Slowest
92.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
68.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
51.0ms
(/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))
15.0ms
(* u2 (* 2 PI))

series5.0s

Counts
4 → 12
Calls
4 calls:
Slowest
2.0s
(/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))
1.5s
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
1.5s
(/ 1 (* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
47.0ms
(* u2 (* 2 PI))

simplify2.8m

Counts
418 → 592
Calls
418 calls:
Slowest
1.2s
(- (log 1) (+ (log 6) (* (- (log 1) (+ (* (log -1) 1.0) (+ (* (log -2) 1.0) (* (log (log (/ 1 u1))) 1.0)))) 0.5)))
1.2s
(pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) (/ 0.5 2))
1.1s
(+ (log 6) (* (- (log 1) (log (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))) 0.5))
1.0s
(/ (* (* 1 1) 1) (* (* (* (pow -1 1.0) (pow -1 1.0)) (pow -1 1.0)) (* (* (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))))
953.0ms
(- (log 1) (log (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))))

prune6.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes858.0ms

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
396.0ms8000×pre80true