Details

Time bar (total: 32.7s)

sample129.0ms

Algorithm
intervals
Results
35.0ms256×body80valid
6.0ms256×pre80true

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
53177
4483
3159
272
135
018

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize57.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
65×add-sqr-sqrt
63×*-un-lft-identity add-cube-cbrt
29×add-exp-log
15×unpow-prod-down sqr-pow
13×associate-/r*
12×div-exp
11×add-cbrt-cube
9×pow1
7×div-inv
6×pow-exp
5×associate-/l*
4×expm1-log1p-u prod-exp log1p-expm1-u add-log-exp
3×pow-to-exp cbrt-undiv pow-unpow associate-*r* associate-*l*
2×pow-pow pow-prod-down
1×clear-num frac-2neg associate-/r/ *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 155
Calls
4 calls:
0.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
9.0ms
(pow (* -2.0 (log u1)) 0.5)
11.0ms
(* PI u2)
35.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))

series2.2s

Counts
4 → 12
Calls
4 calls:
740.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
374.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* PI u2)
1.0s
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))

simplify2.0s

Counts
167 → 167
Iterations
IterNodes
done5001
23849
1807
0322

prune1.4s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))
0.2b
(* PI u2)
0.3b
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
766×times-frac
331×add-sqr-sqrt
329×*-un-lft-identity add-cube-cbrt
101×add-exp-log
74×associate-/r*
67×unpow-prod-down sqr-pow
66×div-exp
32×div-inv
20×add-cbrt-cube
18×pow-exp
16×associate-/l*
10×pow1 prod-exp
9×pow-to-exp cbrt-undiv rec-exp 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l*
2×clear-num pow-pow frac-2neg pow-prod-down
1×associate-/r/ *-commutative cbrt-unprod pow-flip inv-pow unswap-sqr associate-/l/
Counts
4 → 469
Calls
4 calls:
5.0ms
(pow (* -2.0 (log u1)) 0.5)
14.0ms
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))
11.0ms
(* PI u2)
56.0ms
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))

series2.5s

Counts
4 → 12
Calls
4 calls:
400.0ms
(pow (* -2.0 (log u1)) 0.5)
1.1s
(/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5))
22.0ms
(* PI u2)
964.0ms
(/ 1 (/ (/ 6.0 1.0) (pow (* -2.0 (log u1)) 0.5)))

simplify2.1s

Counts
481 → 481
Iterations
IterNodes
done5000
12116
0731

prune3.9s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI u2)
0.3b
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
0.3b
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
428×add-exp-log
268×prod-exp
214×pow-exp
168×div-exp
94×pow-to-exp
84×rec-exp 1-exp
21×add-sqr-sqrt
18×add-cbrt-cube
14×*-un-lft-identity associate-*r* add-cube-cbrt
9×times-frac
8×pow1 unpow-prod-down
6×associate-*l* associate-/l*
4×expm1-log1p-u cbrt-undiv cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
3×div-inv pow-flip
2×clear-num associate-/r* frac-2neg pow-prod-down *-commutative inv-pow sqr-pow
Counts
4 → 260
Calls
4 calls:
11.0ms
(* PI u2)
40.0ms
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
39.0ms
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
30.0ms
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

series3.9s

Counts
4 → 12
Calls
4 calls:
29.0ms
(* PI u2)
1.4s
(/ 1 (* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5)))
1.3s
(* 6.0 (pow (/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0))) 0.5))
1.1s
(/ 1 (* (pow -2.0 1.0) (pow (log u1) 1.0)))

simplify2.1s

Counts
272 → 272
Iterations
IterNodes
done5001
22456
1790
0312

prune766.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 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))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×*-un-lft-identity add-cbrt-cube associate-*l* prod-exp add-cube-cbrt
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative sum-log fma-def flip3-+ associate-*l/ flip-+ div-inv
Counts
4 → 96
Calls
4 calls:
42.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
5.0ms
(pow (* -2.0 (log u1)) 0.5)
16.0ms
(* (* 2.0 PI) u2)
17.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
679.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
426.0ms
(pow (* -2.0 (log u1)) 0.5)
45.0ms
(* (* 2.0 PI) u2)
970.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.7s

Counts
108 → 108
Iterations
IterNodes
done5000
22669
1575
0214

prune828.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes971.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.8s8000×body80valid
180.0ms8000×pre80true