Details

Time bar (total: 4.6m)

sample338.0ms

Algorithm
intervals
Results
66.0ms256×body80valid
45.0ms256×pre80true

simplify1.3s

Counts
1 → 1
Calls
1 calls:
Slowest
1.3s
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize51.0ms

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)

rewrite37.0ms

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
14.0ms
(* u2 (* 2 PI))
11.0ms
(pow (* -2 (log u1)) 0.5)
9.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
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
926.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
468.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
359.0ms
(pow (* -2 (log u1)) 0.5)
52.0ms
(* u2 (* 2 PI))

simplify11.8s

Counts
68 → 105
Calls
68 calls:
Slowest
885.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
734.0ms
(+ (* 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)
639.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
459.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (cbrt 6))
457.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.4b
(fma (* 1/6 (cos (* 2 (* u2 PI)))) (pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5) 0.5)
0.3b
(* u2 PI)
0.1b
(pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5)
0.0b
(* 1/6 (cos (* 2 (* u2 PI))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
59×pow-exp prod-exp
29×pow-to-exp
13×add-sqr-sqrt
9×pow1 *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow *-commutative cbrt-unprod unswap-sqr
1×unpow-prod-down fma-udef sqr-pow
Counts
4 → 102
Calls
4 calls:
Slowest
55.0ms
(* 1/6 (cos (* 2 (* u2 PI))))
33.0ms
(pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5)
11.0ms
(* u2 PI)
0.0ms
(fma (* 1/6 (cos (* 2 (* u2 PI)))) (pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5) 0.5)

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
1.7s
(pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5)
887.0ms
(fma (* 1/6 (cos (* 2 (* u2 PI)))) (pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5) 0.5)
51.0ms
(* 1/6 (cos (* 2 (* u2 PI))))
37.0ms
(* u2 PI)

simplify13.5s

Counts
67 → 114
Calls
67 calls:
Slowest
1.1s
(* (log (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0))) 0.5)
640.0ms
(* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0))
476.0ms
(* (+ (+ (* (log -2) 1.0) (* (log (- (log u1))) 1.0)) (* (log -1) 1.0)) 0.5)
429.0ms
(* (+ (+ (* (log -2) 1.0) (* (log (- (log u1))) 1.0)) (* (log -1) 1.0)) 0.5)
404.0ms
(* (+ (+ (log (pow -2 1.0)) (log (pow (- (log u1)) 1.0))) (log (pow -1 1.0))) 0.5)

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize59.0ms

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)))
0.3b
(* u2 (* 2 PI))
0.1b
(pow (* -2 (log u1)) 0.5)

rewrite62.0ms

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
(* u2 (* 2 PI))
17.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
10.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
9.0ms
(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)))
363.0ms
(pow (* -2 (log u1)) 0.5)
55.0ms
(* u2 (* 2 PI))

simplify49.3s

Counts
218 → 206
Calls
218 calls:
Slowest
1.1s
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
756.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
717.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
706.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) 0.5)))
706.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite305.0ms

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
120.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
74.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
54.0ms
(/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))
15.0ms
(* u2 (* 2 PI))

series4.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.5s
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
1.5s
(/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))
1.4s
(/ 1 (* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5)))
36.0ms
(* u2 (* 2 PI))

simplify2.8m

Counts
418 → 592
Calls
418 calls:
Slowest
1.1s
(* 1/6 (pow (* (pow (+ (log (/ -1 u1)) (log -1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5))
1.1s
(* (sqrt 6) (pow (sqrt (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))) 0.5))
994.0ms
(+ (log 6) (* (- (log 1) (log (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))))) 0.5))
987.0ms
(cbrt (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
961.0ms
(- 0 (+ (* (log -1) 1.0) (+ (* (log -2) 1.0) (* (log (log (/ 1 u1))) 1.0))))

prune6.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes414.0ms

Accuracy

0% (0.3b remaining)

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

bsearch12.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.2s8000×body80valid
495.0ms8000×pre80true