Details

Time bar (total: 42.4s)

sample301.0ms

Algorithm
intervals
Results
54.0ms256×body80valid
12.0ms256×pre80true

simplify3.4s

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

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize60.0ms

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

rewrite106.0ms

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 insert-posit16 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 → 91
Calls
4 calls:
13.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
6.0ms
(pow (* -2 (log u1)) 0.5)
25.0ms
(* u2 (* 2 PI))
60.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
495.0ms
(+ 0.5 (* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5)))
402.0ms
(pow (* -2 (log u1)) 0.5)
48.0ms
(* u2 (* 2 PI))
510.0ms
(* (/ (cos (* u2 (* 2 PI))) 6) (pow (* -2 (log u1)) 0.5))

simplify2.8s

Counts
103 → 103
Iterations
IterNodes
35585
21563
1506
0205

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize45.0ms

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

rewrite67.0ms

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 insert-posit16
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 → 88
Calls
4 calls:
25.0ms
(+ 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
16.0ms
(pow (* (log u1) -2) 0.5)
15.0ms
(* u2 (* 2 PI))
8.0ms
(/ (pow (* (log u1) -2) 0.5) 6)

series1.8s

Counts
4 → 12
Calls
4 calls:
483.0ms
(+ 0.5 (* (cos (* u2 (* 2 PI))) (/ (pow (* (log u1) -2) 0.5) 6)))
305.0ms
(pow (* (log u1) -2) 0.5)
37.0ms
(* u2 (* 2 PI))
976.0ms
(/ (pow (* (log u1) -2) 0.5) 6)

simplify2.0s

Counts
100 → 100
Iterations
IterNodes
34707
21339
1454
0200

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* (log u1) -2) (/ 0.5 2))
0.2b
(* u2 (* 2 PI))
0.3b
(/ (pow (* (log u1) -2) (/ 0.5 2)) 6)
0.3b
(* (pow (* (log u1) -2) (/ 0.5 2)) (/ (pow (* (log u1) -2) (/ 0.5 2)) 6))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
43×add-sqr-sqrt times-frac
34×prod-exp
32×*-un-lft-identity add-cube-cbrt
22×pow-exp
20×div-exp associate-*r*
16×add-cbrt-cube
14×sqr-pow
13×pow-unpow
12×pow1
11×pow-to-exp
9×unpow-prod-down
8×associate-*l*
6×unswap-sqr
5×cbrt-unprod associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×associate-/r* div-inv
2×cbrt-undiv pow-pow *-commutative
1×clear-num frac-2neg associate-*r/
Counts
4 → 148
Calls
4 calls:
15.0ms
(pow (* (log u1) -2) (/ 0.5 2))
15.0ms
(* u2 (* 2 PI))
9.0ms
(/ (pow (* (log u1) -2) (/ 0.5 2)) 6)
30.0ms
(* (pow (* (log u1) -2) (/ 0.5 2)) (/ (pow (* (log u1) -2) (/ 0.5 2)) 6))

series3.2s

Counts
4 → 12
Calls
4 calls:
810.0ms
(pow (* (log u1) -2) (/ 0.5 2))
73.0ms
(* u2 (* 2 PI))
1.2s
(/ (pow (* (log u1) -2) (/ 0.5 2)) 6)
1.1s
(* (pow (* (log u1) -2) (/ 0.5 2)) (/ (pow (* (log u1) -2) (/ 0.5 2)) 6))

simplify6.2s

Counts
160 → 160
Iterations
IterNodes
36456
21848
1609
0240

prune2.4s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (pow (* (log u1) -2) 0.5) 6)
0.3b
(* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)))
0.5b
(cbrt (* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))))
0.5b
(* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
791×add-exp-log
367×prod-exp
348×div-exp
174×pow-exp
104×times-frac
87×add-sqr-sqrt pow-to-exp
59×*-un-lft-identity add-cbrt-cube add-cube-cbrt
38×associate-*l*
26×sqr-pow
25×pow1
22×cbrt-unprod
20×associate-*r*
19×unpow-prod-down swap-sqr
18×cbrt-undiv
12×unswap-sqr
11×frac-times associate-*r/
7×cbrt-div associate-*l/
6×pow-prod-up div-inv
5×associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×associate-/r*
2×pow2 pow-plus cube-unmult pow-sqr *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Counts
4 → 355
Calls
4 calls:
13.0ms
(/ (pow (* (log u1) -2) 0.5) 6)
37.0ms
(* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)))
18.0ms
(cbrt (* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))))
27.0ms
(* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))

series4.2s

Counts
4 → 12
Calls
4 calls:
1.0s
(/ (pow (* (log u1) -2) 0.5) 6)
1.1s
(* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)))
1.1s
(cbrt (* (/ (pow (* (log u1) -2) 0.5) 6) (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))))
1.0s
(* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))

simplify1.7s

Counts
367 → 367
Iterations
IterNodes
23236
11145
0368

prune6.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes579.0ms

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
221
121
016

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.1s8000×body80valid
412.0ms8000×pre80true