Details

Time bar (total: 34.1s)

sample165.0ms

Algorithm
intervals
Results
59.0ms256×body80valid
12.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
63468
51272
4432
3156
269
134
018

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
0.2b
(pow (* -2 (log u1)) 0.5)
0.3b
(* u2 (* 2 PI))
0.4b
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
16×associate-*l*
14×*-un-lft-identity add-cbrt-cube prod-exp add-cube-cbrt
12×pow1
11×times-frac
6×associate-*r* 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:
10.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
4.0ms
(pow (* -2 (log u1)) 0.5)
17.0ms
(* u2 (* 2 PI))
21.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
529.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
379.0ms
(pow (* -2 (log u1)) 0.5)
64.0ms
(* u2 (* 2 PI))
486.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

simplify4.3s

Counts
99 → 99
Iterations
IterNodes
35834
21536
1501
0201

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-/r* associate-*l* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ associate-*r* *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
26.0ms
(+ 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
9.0ms
(pow (* (log u1) -2) 0.5)
24.0ms
(* u2 (* 2 PI))
13.0ms
(/ (pow (* (log u1) -2) 0.5) 6)

series2.3s

Counts
4 → 12
Calls
4 calls:
478.0ms
(+ 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
385.0ms
(pow (* (log u1) -2) 0.5)
41.0ms
(* u2 (* 2 PI))
1.4s
(/ (pow (* (log u1) -2) 0.5) 6)

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
34353
21296
1451
0196

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (* (log u1) -2) 0.5) 6)
0.4b
(/ (+ (pow 0.5 3) (pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)) (+ (* 0.5 0.5) (- (* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))) (* 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))))))
0.6b
(* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
0.8b
(pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)

rewrite533.0ms

Algorithm
rewrite-expression-head
Rules
209×add-exp-log
115×prod-exp
57×div-exp
50×add-cbrt-cube
46×pow1
34×pow-exp
33×*-un-lft-identity
30×times-frac
25×add-sqr-sqrt add-cube-cbrt
23×cbrt-unprod
18×pow-prod-down
15×pow-to-exp
10×associate-/l*
9×cbrt-undiv
6×associate-/r* associate-*r/
5×unpow-prod-down sqr-pow
4×pow-sqr sum-cubes pow-prod-up distribute-lft-out add-log-exp
3×pow-unpow rem-cube-cbrt
2×clear-num pow-pow frac-2neg flip3-+ pow-plus associate-/r/ flip-+ div-inv associate-/l/
1×cube-div pow2 cube-mult frac-times unpow3 cube-prod swap-sqr associate-*r* associate-*l* associate-*l/ *-commutative
Counts
4 → 179
Calls
4 calls:
13.0ms
(/ (pow (* (log u1) -2) 0.5) 6)
292.0ms
(/ (+ (pow 0.5 3) (pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)) (+ (* 0.5 0.5) (- (* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))) (* 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))))))
178.0ms
(* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
42.0ms
(pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)

series3.8s

Counts
4 → 12
Calls
4 calls:
1.0s
(/ (pow (* (log u1) -2) 0.5) 6)
1.7s
(/ (+ (pow 0.5 3) (pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)) (+ (* 0.5 0.5) (- (* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))) (* 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6))))))
446.0ms
(* (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
557.0ms
(pow (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)) 3)

simplify2.2s

Counts
191 → 191
Iterations
IterNodes
23548
11003
0385

prune3.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(log (* -2 (log u1)))
0.3b
(* u2 (* 2 PI))
0.3b
(exp (- (* 0.5 (log (* -2 (log u1)))) (log 6)))
0.6b
(- (* 0.5 (log (* -2 (log u1)))) (log 6))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log
9×add-cbrt-cube
8×log-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
4×exp-sum pow-prod-down prod-exp associate--l+
3×exp-prod associate-*l* cbrt-unprod associate--r+
2×distribute-rgt-in sub-neg distribute-lft-in diff-log rem-log-exp log-pow rem-exp-log
1×flip3-- exp-diff associate-*r* *-commutative flip--
Counts
4 → 64
Calls
4 calls:
8.0ms
(log (* -2 (log u1)))
14.0ms
(* u2 (* 2 PI))
42.0ms
(exp (- (* 0.5 (log (* -2 (log u1)))) (log 6)))
16.0ms
(- (* 0.5 (log (* -2 (log u1)))) (log 6))

series1.6s

Counts
4 → 12
Calls
4 calls:
298.0ms
(log (* -2 (log u1)))
48.0ms
(* u2 (* 2 PI))
624.0ms
(exp (- (* 0.5 (log (* -2 (log u1)))) (log 6)))
616.0ms
(- (* 0.5 (log (* -2 (log u1)))) (log 6))

simplify923.0ms

Counts
76 → 76
Iterations
IterNodes
32244
2724
1272
0126

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes574.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
221
121
016

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.5s8000×body80valid
459.0ms8000×pre80true