Details

Time bar (total: 27.0s)

sample462.0ms

Algorithm
intervals
Results
123.0ms256×body80valid
12.0ms256×pre80true

simplify3.0s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(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
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
0.3b
(* PI u2)

rewrite60.0ms

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:
1.0ms
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
10.0ms
(pow (* -2.0 (log u1)) 0.5)
22.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
14.0ms
(* PI u2)

series2.5s

Counts
4 → 12
Calls
4 calls:
1.0s
(fma (/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0)) (cos (* 2.0 (* PI u2))) 0.5)
400.0ms
(pow (* -2.0 (log u1)) 0.5)
958.0ms
(/ (pow (* -2.0 (log u1)) 0.5) (/ 6.0 1.0))
61.0ms
(* PI u2)

simplify1.3s

Counts
167 → 167
Iterations
IterNodes
done5000
23876
1811
0322

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
36×times-frac
32×div-exp
27×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
22×prod-exp
20×add-cbrt-cube
10×pow1 pow-exp
8×associate-/r*
7×cbrt-undiv
6×rec-exp 1-exp div-inv associate-/l*
5×pow-to-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg pow-prod-down
1×unpow-prod-down associate-/r/ *-commutative pow-flip inv-pow unswap-sqr sqr-pow
Counts
4 → 132
Calls
4 calls:
5.0ms
(pow (* (log u1) -2.0) 0.5)
37.0ms
(/ 1 (/ 6.0 (* 1.0 (pow (* (log u1) -2.0) 0.5))))
5.0ms
(* PI u2)
9.0ms
(/ 6.0 (* 1.0 (pow (* (log u1) -2.0) 0.5)))

series2.6s

Counts
4 → 12
Calls
4 calls:
413.0ms
(pow (* (log u1) -2.0) 0.5)
999.0ms
(/ 1 (/ 6.0 (* 1.0 (pow (* (log u1) -2.0) 0.5))))
48.0ms
(* PI u2)
1.2s
(/ 6.0 (* 1.0 (pow (* (log u1) -2.0) 0.5)))

simplify901.0ms

Counts
144 → 144
Iterations
IterNodes
done5001
22111
1589
0234

prune866.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(cos (* (* u2 PI) 2.0))
0.1b
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
0.2b
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
0.3b
(* u2 PI)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
59×pow-exp
58×prod-exp
29×pow-to-exp
9×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-*l* pow-prod-down
2×pow-pow
1×unpow-prod-down *-commutative cbrt-unprod fma-udef unswap-sqr sqr-pow
Counts
4 → 87
Calls
4 calls:
23.0ms
(cos (* (* u2 PI) 2.0))
46.0ms
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
0.0ms
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
5.0ms
(* u2 PI)

series3.0s

Counts
4 → 12
Calls
4 calls:
41.0ms
(cos (* (* u2 PI) 2.0))
1.8s
(pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5)
1.1s
(fma (pow (* (* (pow -1 1.0) (pow -2.0 1.0)) (pow (- (log u1)) 1.0)) 0.5) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
40.0ms
(* u2 PI)

simplify888.0ms

Counts
99 → 99
Iterations
IterNodes
done5000
21612
1519
0210

prune661.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (- (log u1)) 1.0) 0.5)
0.2b
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
0.3b
(* u2 PI)
0.4b
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
132×pow-exp
114×add-exp-log
106×prod-exp
65×unpow-prod-down
61×pow-to-exp
30×add-sqr-sqrt
23×associate-*r*
17×*-un-lft-identity add-cube-cbrt
14×sqr-pow
11×unswap-sqr
10×pow1
8×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube associate-*l*
4×expm1-log1p-u log-pow log1p-expm1-u add-log-exp
3×pow-unpow
2×neg-mul-1 pow-prod-down *-commutative cbrt-unprod
1×pow-pow fma-udef
Counts
4 → 171
Calls
4 calls:
12.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
0.0ms
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
11.0ms
(* u2 PI)
106.0ms
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

series3.3s

Counts
4 → 12
Calls
4 calls:
592.0ms
(pow (pow (- (log u1)) 1.0) 0.5)
922.0ms
(fma (* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5)) (* 0.16666666666666666 (cos (* (* u2 PI) 2.0))) 0.5)
48.0ms
(* u2 PI)
1.7s
(* (pow (* (pow -1 1.0) (pow -2.0 1.0)) 0.5) (pow (pow (- (log u1)) 1.0) 0.5))

simplify1.6s

Counts
183 → 183
Iterations
IterNodes
done5001
22538
1613
0257

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes591.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done34
234
133
025

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.4s8000×body80valid
703.0ms8000×pre80true