Details

Time bar (total: 18.0s)

sample285.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
01819
13518
27118
315318
440318
5132318
done500018

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp
5×cbrt-unprod
4×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv associate-*l/ fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
6.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
482.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
261.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
719.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify832.0ms

Counts
104 → 104
Iterations

Useful iterations: 2 (173.0ms)

IterNodesCost
01971340
14541286
215241166
done50001166

prune396.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×div-exp
4×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×unpow-prod-down frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv associate-/l* sqr-pow
Counts
4 → 75
Calls
4 calls:
0.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
470.0ms
(fma (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2)) 0.5)
263.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
699.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify754.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
01781100
14031053
21376930
done5000930

prune324.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
149×add-exp-log
98×prod-exp
38×pow-exp
23×add-cbrt-cube
22×add-sqr-sqrt
20×div-exp
19×pow-to-exp
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×associate-*r*
11×times-frac
10×cbrt-unprod
9×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-prod-down associate-*l/ *-commutative
2×cbrt-undiv unpow-prod-down
1×fma-udef div-inv
Counts
4 → 129
Calls
4 calls:
0.0ms
(fma (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2)) 0.5)
6.0ms
(* (* 2.0 PI) u2)
19.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
14.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

series1.9s

Counts
4 → 12
Calls
4 calls:
484.0ms
(fma (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2))) (cos (* (* 2.0 PI) u2)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
719.0ms
(* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (pow (* -2.0 (log u1)) (/ 0.5 2)))
700.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (/ 0.5 2)))

simplify885.0ms

Counts
141 → 141
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
02302950
15762304
219492044
done50002044

prune570.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2)))))
0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))
0.4b
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
21×add-sqr-sqrt
14×associate-*l* add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity prod-exp
11×times-frac
9×pow1
8×associate-*r*
5×expm1-log1p-u cbrt-unprod
4×div-exp pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down sqr-pow
2×pow-to-exp *-commutative
1×cbrt-undiv unpow-prod-down log1p-udef expm1-log1p log1p-expm1 associate-*l/ div-inv expm1-udef
Counts
4 → 85
Calls
4 calls:
0.0ms
(log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2)))))
7.0ms
(* (* 2.0 PI) u2)
11.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))
0.0ms
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))))

series2.5s

Counts
4 → 12
Calls
4 calls:
858.0ms
(log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2)))))
40.0ms
(* (* 2.0 PI) u2)
699.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))
905.0ms
(expm1 (log1p (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) (* 2 (/ 0.5 2))))))

simplify2.1s

Counts
97 → 97
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01821567
14041478
212971326
349081179
done50001179

prune396.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes349.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
12118
done2118

end0.0ms

sample961.0ms

Algorithm
intervals
Results
668.0ms8000×body80valid
132.0ms8000×pre80true