Details

Time bar (total: 2.7m)

sample252.0ms

Algorithm
intervals
Results
123.0ms256×body80valid
20.0ms256×pre80true

simplify727.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
726.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

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))
8.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
5.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
890.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
541.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
375.0ms
(pow (* -2 (log u1)) 0.5)
61.0ms
(* u2 (* 2 PI))

simplify13.0s

Counts
68 → 105
Calls
68 calls:
Slowest
907.0ms
(+ (* 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)
782.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
600.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
486.0ms
(/ (* (* (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) 6)

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize61.0ms

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))))

rewrite94.0ms

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
45.0ms
(* 1/6 (cos (* 2 (* u2 PI))))
34.0ms
(pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5)
11.0ms
(* u2 PI)
1.0ms
(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)

series2.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.6s
(pow (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0)) 0.5)
812.0ms
(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)
71.0ms
(* 1/6 (cos (* 2 (* u2 PI))))
36.0ms
(* u2 PI)

simplify13.6s

Counts
67 → 114
Calls
67 calls:
Slowest
690.0ms
(* (log (* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0))) 0.5)
611.0ms
(* (* (pow -2 1.0) (pow (- (log u1)) 1.0)) (pow -1 1.0))
467.0ms
(* (+ (+ (* (log -2) 1.0) (* (log (- (log u1))) 1.0)) (* (log -1) 1.0)) 0.5)
439.0ms
(* (+ (+ (* (log -2) 1.0) (* (log (- (log u1))) 1.0)) (* (log -1) 1.0)) 0.5)
428.0ms
(* (+ (+ (* (log -2) 1.0) (* (log (- (log u1))) 1.0)) (* (log -1) 1.0)) 0.5)

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
15×times-frac
11×pow1 add-cbrt-cube
6×log-prod
5×associate-/l*
4×expm1-log1p-u exp-prod unpow-prod-down div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×associate-/r* associate-*l* exp-sum pow-prod-down cbrt-unprod
2×pow-exp log-pow
1×pow-to-exp cbrt-undiv clear-num frac-2neg rem-log-exp associate-*r* *-commutative div-inv rem-exp-log
Counts
4 → 95
Calls
4 calls:
Slowest
34.0ms
(* u2 (* 2 PI))
10.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
6.0ms
(exp (log (fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)))
1.0ms
(log (fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5))

series2.3s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ (pow (* -2 (log u1)) 0.5) 6)
672.0ms
(log (fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5))
503.0ms
(exp (log (fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)))
44.0ms
(* u2 (* 2 PI))

simplify15.3s

Counts
73 → 107
Calls
73 calls:
Slowest
858.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
835.0ms
(* (* (* u2 u2) u2) (* (* (* 2 PI) (* 2 PI)) (* 2 PI)))
821.0ms
(log (+ (* 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))
810.0ms
(+ (* 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)
566.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
0.3b
(* u2 (* 2 PI))
0.2b
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
0.1b
(pow (* -2 (log u1)) (/ 0.5 2))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
209×times-frac
96×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
76×add-exp-log
43×unpow-prod-down sqr-pow
40×div-exp
24×associate-/r*
22×pow-exp
16×add-cbrt-cube
14×prod-exp
13×pow-unpow
12×pow1
11×pow-to-exp
9×div-inv
8×associate-/l*
4×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative
Counts
4 → 247
Calls
4 calls:
Slowest
31.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
29.0ms
(* u2 (* 2 PI))
12.0ms
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
12.0ms
(pow (* -2 (log u1)) (/ 0.5 2))

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
992.0ms
(/ 6 (pow (* -2 (log u1)) (/ 0.5 2)))
940.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ 6 (pow (* -2 (log u1)) (/ 0.5 2))))
382.0ms
(pow (* -2 (log u1)) (/ 0.5 2))
41.0ms
(* u2 (* 2 PI))

simplify1.6m

Counts
316 → 259
Calls
316 calls:
Slowest
1.0s
(/ (pow (log u1) (/ 0.5 2)) (/ (cbrt 6) (pow (* -2 (log u1)) (/ 0.5 2))))
948.0ms
(/ (pow (* -2 (log u1)) (/ (/ 0.5 2) 2)) (/ (sqrt 6) (pow -2 (/ 0.5 2))))
861.0ms
(/ (pow -2 (/ 0.5 2)) (/ (sqrt 6) (pow (* -2 (log u1)) (/ (/ 0.5 2) 2))))
846.0ms
(/ (pow (log u1) (/ 0.5 2)) (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
839.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (/ (sqrt 6) (pow (log u1) (/ 0.5 2))))

prune3.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes421.0ms

Accuracy

0% (0.4b remaining)

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

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s8000×body80valid
432.0ms8000×pre80true