Details

Time bar (total: 38.3s)

sample193.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
45.0ms256×pre80true

simplify4.6s

Counts
1 → 1

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)
0.2b
(* u2 (* 2 PI))
0.1b
(pow (* -2 (log u1)) 0.5)
0.0b
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

rewrite55.0ms

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
24.0ms
(* u2 (* 2 PI))
16.0ms
(/ (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)

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
596.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
400.0ms
(pow (* -2 (log u1)) 0.5)
53.0ms
(* u2 (* 2 PI))

simplify1.7s

Counts
105 → 105

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
57×times-frac
54×sqrt-prod
40×*-un-lft-identity add-cube-cbrt
29×associate-*r*
19×add-exp-log
16×add-cbrt-cube sqr-pow
14×pow1
12×unswap-sqr
11×associate-*l*
9×unpow-prod-down
8×associate-/l*
6×prod-exp
5×pow-prod-down cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-/r*
2×cbrt-undiv pow-pow div-exp pow-exp *-commutative div-inv
1×pow-to-exp clear-num frac-2neg associate-*r/
Counts
4 → 156
Calls
4 calls:
Slowest
33.0ms
(* (sqrt (pow (* -2 (log u1)) 0.5)) (/ (sqrt (pow (* -2 (log u1)) 0.5)) 6))
25.0ms
(* u2 (* 2 PI))
13.0ms
(/ (sqrt (pow (* -2 (log u1)) 0.5)) 6)
9.0ms
(pow (* -2 (log u1)) 0.5)

series2.5s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(* (sqrt (pow (* -2 (log u1)) 0.5)) (/ (sqrt (pow (* -2 (log u1)) 0.5)) 6))
994.0ms
(/ (sqrt (pow (* -2 (log u1)) 0.5)) 6)
428.0ms
(pow (* -2 (log u1)) 0.5)
63.0ms
(* u2 (* 2 PI))

simplify862.0ms

Counts
168 → 168

prune2.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b
(expm1 (log1p (/ (pow (* -2 (log u1)) 0.5) 6)))
0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)
0.2b
(* u2 (* 2 PI))
0.2b
(log1p (/ (pow (* -2 (log u1)) 0.5) 6))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
15×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
11×add-cbrt-cube
9×pow1
5×expm1-log1p-u associate-/l*
4×unpow-prod-down div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp sqr-pow
3×associate-/r* associate-*l* pow-prod-down cbrt-unprod
2×pow-exp
1×pow-to-exp cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg associate-*r* log1p-expm1 *-commutative div-inv expm1-udef
Counts
4 → 86
Calls
4 calls:
Slowest
33.0ms
(* u2 (* 2 PI))
15.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
1.0ms
(log1p (/ (pow (* -2 (log u1)) 0.5) 6))
1.0ms
(expm1 (log1p (/ (pow (* -2 (log u1)) 0.5) 6)))

series3.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.4s
(expm1 (log1p (/ (pow (* -2 (log u1)) 0.5) 6)))
1.2s
(log1p (/ (pow (* -2 (log u1)) 0.5) 6))
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
34.0ms
(* u2 (* 2 PI))

simplify1.4s

Counts
98 → 98

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6)))
0.5b
(* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6))
0.4b
(* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6))
0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
791×add-exp-log
367×prod-exp
348×div-exp
174×pow-exp
104×times-frac
87×add-sqr-sqrt pow-to-exp
59×*-un-lft-identity add-cbrt-cube add-cube-cbrt
38×associate-*r*
30×pow1
26×sqr-pow
22×cbrt-unprod
20×associate-*l*
19×unpow-prod-down swap-sqr
18×cbrt-undiv
12×unswap-sqr
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×div-inv
5×associate-/l*
4×expm1-log1p-u pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow2 associate-/r* pow-sqr
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 367
Calls
4 calls:
Slowest
67.0ms
(* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6))
31.0ms
(* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6))
25.0ms
(cbrt (* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6)))
9.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)

series4.4s

Counts
4 → 12
Calls
4 calls:
Slowest
1.5s
(cbrt (* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6)))
1.1s
(/ (pow (* -2 (log u1)) 0.5) 6)
994.0ms
(* (* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6)) (/ (pow (* -2 (log u1)) 0.5) 6))
891.0ms
(* (/ (pow (* -2 (log u1)) 0.5) 6) (/ (pow (* -2 (log u1)) 0.5) 6))

simplify1.6s

Counts
379 → 379

prune5.8s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes433.0ms

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
386.0ms8000×pre80true