Details

Time bar (total: 24.1s)

sample183.0ms

Algorithm
intervals
Results
99.0ms256×body80valid
8.0ms256×pre80true

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5000
53198
4477
3155
271
134
018

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite568.0ms

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×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative sum-log flip3-+ associate-*l/ flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
510.0ms
(+ (* (* (/ 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)
14.0ms
(* (* 2.0 PI) u2)
35.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.1s

Counts
4 → 12
Calls
4 calls:
648.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
357.0ms
(pow (* -2.0 (log u1)) 0.5)
44.0ms
(* (* 2.0 PI) u2)
1.1s
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify1.1s

Counts
99 → 99
Iterations
IterNodes
done5000
22644
1557
0206

prune745.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* (log u1) -2.0) 0.5)
0.2b
(/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0)
0.3b
(* (* 2.0 PI) u2)

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow associate-/r* times-frac associate-*r*
2×pow-to-exp cbrt-undiv pow-pow
1×+-commutative clear-num sum-log unpow-prod-down frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
57.0ms
(+ (* (/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
10.0ms
(pow (* (log u1) -2.0) 0.5)
21.0ms
(/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0)
31.0ms
(* (* 2.0 PI) u2)

series2.0s

Counts
4 → 12
Calls
4 calls:
638.0ms
(+ (* (/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
347.0ms
(pow (* (log u1) -2.0) 0.5)
993.0ms
(/ (* (pow (* (log u1) -2.0) 0.5) 1.0) 6.0)
48.0ms
(* (* 2.0 PI) u2)

simplify1.4s

Counts
82 → 82
Iterations
IterNodes
done5000
22596
1516
0189

prune627.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0))))) 0.5)
0.1b
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
0.3b
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0)))))
0.3b
(* PI (* u2 2.0))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
86×add-exp-log
66×prod-exp
48×pow-exp
21×pow-to-exp
14×add-cbrt-cube
10×pow1
8×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×cbrt-unprod add-log-exp
4×pow-prod-down
3×pow-unpow
2×unpow-prod-down pow-pow associate-*r* *-commutative sqr-pow
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 94
Calls
4 calls:
60.0ms
(+ (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0))))) 0.5)
15.0ms
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
81.0ms
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0)))))
20.0ms
(* PI (* u2 2.0))

series2.8s

Counts
4 → 12
Calls
4 calls:
736.0ms
(+ (* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0))))) 0.5)
1.3s
(pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5)
685.0ms
(* (pow (* (pow (+ 0 (log u1)) 1.0) (pow -2.0 1.0)) 0.5) (* 0.16666666666666666 (cos (* PI (* u2 2.0)))))
64.0ms
(* PI (* u2 2.0))

simplify999.0ms

Counts
106 → 106
Iterations
IterNodes
done5001
22099
1581
0214

prune650.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize77.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
113×add-exp-log
69×prod-exp
34×pow-exp
22×add-sqr-sqrt
20×add-cbrt-cube
18×*-un-lft-identity div-exp add-cube-cbrt
17×pow-to-exp
13×pow-unpow
12×pow1 times-frac
9×sqr-pow
8×associate-*r*
7×cbrt-unprod
6×associate-*l*
5×unpow-prod-down swap-sqr pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv associate-/r*
2×pow-pow *-commutative div-inv
1×pow2 clear-num frac-2neg pow-sqr pow-prod-up associate-/l*
Counts
4 → 131
Calls
4 calls:
7.0ms
(pow (* (log u1) -2.0) (/ 0.5 2))
30.0ms
(/ (* (* (pow (* (log u1) -2.0) (/ 0.5 2)) (pow (* (log u1) -2.0) (/ 0.5 2))) 1.0) 6.0)
16.0ms
(* (* 2.0 PI) u2)
40.0ms
(* (pow (* (log u1) -2.0) (/ 0.5 2)) (pow (* (log u1) -2.0) (/ 0.5 2)))

series2.6s

Counts
4 → 12
Calls
4 calls:
458.0ms
(pow (* (log u1) -2.0) (/ 0.5 2))
1.1s
(/ (* (* (pow (* (log u1) -2.0) (/ 0.5 2)) (pow (* (log u1) -2.0) (/ 0.5 2))) 1.0) 6.0)
77.0ms
(* (* 2.0 PI) u2)
1.0s
(* (pow (* (log u1) -2.0) (/ 0.5 2)) (pow (* (log u1) -2.0) (/ 0.5 2)))

simplify1.7s

Counts
143 → 143
Iterations
IterNodes
done5000
23596
1699
0250

prune683.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes659.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
124
018

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.8s8000×body80valid
209.0ms8000×pre80true