Details

Time bar (total: 2.3m)

sample233.0ms

Algorithm
intervals
Results
127.0ms256×body80valid
24.0ms256×pre80true

simplify795.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
794.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

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
29.0ms
(* u2 (* 2 PI))
14.0ms
(/ (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)

series1.9s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
556.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
278.0ms
(pow (* -2 (log u1)) 0.5)
65.0ms
(* u2 (* 2 PI))

simplify12.2s

Counts
68 → 105
Calls
68 calls:
Slowest
1.0s
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
733.0ms
(+ (* 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)
469.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
425.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) 1)
388.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize39.0ms

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)

rewrite42.0ms

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
17.0ms
(* u2 (* 2 PI))
10.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
7.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series2.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 6 (pow (* -2 (log u1)) 0.5))
1.1s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
397.0ms
(pow (* -2 (log u1)) 0.5)
60.0ms
(* u2 (* 2 PI))

simplify49.1s

Counts
218 → 206
Calls
218 calls:
Slowest
857.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) 0.5)))
840.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
786.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
721.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))
700.0ms
(/ (sqrt 1) (/ (* (cbrt 6) (cbrt 6)) (pow (* -2 (log u1)) (/ 0.5 2))))

prune3.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

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
13×*-un-lft-identity add-cube-cbrt
12×associate-*r*
11×pow1
9×times-frac
8×unpow-prod-down
6×associate-*l* cbrt-unprod associate-/l*
4×expm1-log1p-u cbrt-undiv 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
73.0ms
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
26.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
18.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
13.0ms
(* u2 (* 2 PI))

series3.3s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
1.1s
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
1.0s
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
35.0ms
(* u2 (* 2 PI))

simplify46.2s

Counts
186 → 276
Calls
186 calls:
Slowest
753.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
647.0ms
(/ (* (* 1 1) 1) (* (* (* 6 6) 6) (* (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))))
643.0ms
(* 6 (pow (/ 1 (* (pow (- (log -1) (log (/ -1 u1))) 1.0) (pow -2 1.0))) 0.5))
635.0ms
(- (log 1) (+ (log 6) (* (- (log 1) (+ (* (log -2) 1.0) (log (pow (log u1) 1.0)))) 0.5)))
633.0ms
(* (* (* 6 6) 6) (* (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))

prune3.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

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)
0.3b
(* u2 PI)
0.1b
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)

rewrite24.0ms

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
13.0ms
(pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5)
10.0ms
(* u2 PI)
0.0ms
(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)
636.0ms
(fma (* (pow (* (pow (log u1) 1.0) (pow -2 1.0)) 0.5) (cos (* 2 (* u2 PI)))) 1/6 0.5)
35.0ms
(* u2 PI)

simplify5.4s

Counts
33 → 69
Calls
33 calls:
Slowest
847.0ms
(+ (* 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)
524.0ms
(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)
430.0ms
(* (+ (log (pow (log u1) 1.0)) (log (pow -2 1.0))) 0.5)
423.0ms
(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)
353.0ms
(* (* (* u2 u2) u2) (* (* PI PI) PI))

prune984.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes452.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.1s8000×body80valid
844.0ms8000×pre80true