Details

Time bar (total: 34.4s)

sample133.0ms

Algorithm
intervals
Results
28.0ms256×body80valid
7.0ms256×pre80true

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
51509
4498
3162
274
137
018

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
0.1b
(pow (* -2 (log u1)) 0.5)
0.3b
(* u2 (* 2 PI))
0.3b
(/ (pow (* -2 (log u1)) 0.5) 6)

rewrite83.0ms

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
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×expm1-log1p-u div-exp pow-prod-down pow-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* associate-*l* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv clear-num frac-2neg associate-*r* *-commutative fma-udef div-inv
Counts
4 → 93
Calls
4 calls:
1.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
12.0ms
(pow (* -2 (log u1)) 0.5)
32.0ms
(* u2 (* 2 PI))
32.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)

series2.2s

Counts
4 → 12
Calls
4 calls:
591.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
441.0ms
(pow (* -2 (log u1)) 0.5)
61.0ms
(* u2 (* 2 PI))
1.1s
(/ (pow (* -2 (log u1)) 0.5) 6)

simplify2.9s

Counts
105 → 105
Iterations
IterNodes
done5012
34573
21197
1418
0189

prune794.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2 (log u1)) 0.5)
0.3b
(/ 6 (pow (* -2 (log u1)) 0.5))
0.3b
(* u2 (* 2 PI))
0.3b
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-*l* cbrt-unprod
2×clear-num pow-pow frac-2neg
1×associate-*r* associate-/r/ *-commutative pow-flip inv-pow
Counts
4 → 194
Calls
4 calls:
12.0ms
(pow (* -2 (log u1)) 0.5)
9.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
16.0ms
(* u2 (* 2 PI))
30.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))

series2.8s

Counts
4 → 12
Calls
4 calls:
477.0ms
(pow (* -2 (log u1)) 0.5)
1.2s
(/ 6 (pow (* -2 (log u1)) 0.5))
67.0ms
(* u2 (* 2 PI))
1.1s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))

simplify2.0s

Counts
206 → 206
Iterations
IterNodes
done5001
22111
1770
0309

prune966.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.3b
(* u2 (* 2 PI))
0.3b
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
0.3b
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
431×add-exp-log
270×prod-exp
214×pow-exp
168×div-exp
94×pow-to-exp
84×rec-exp 1-exp
21×add-cbrt-cube
18×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
12×associate-*r*
11×pow1
9×times-frac
8×unpow-prod-down
6×associate-*l* cbrt-unprod associate-/l*
4×expm1-log1p-u cbrt-undiv pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×div-inv pow-flip unswap-sqr
2×clear-num associate-/r* frac-2neg *-commutative inv-pow sqr-pow
Counts
4 → 264
Calls
4 calls:
30.0ms
(* u2 (* 2 PI))
72.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
55.0ms
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
21.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))

series4.1s

Counts
4 → 12
Calls
4 calls:
45.0ms
(* u2 (* 2 PI))
1.1s
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
1.7s
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
1.3s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))

simplify2.2s

Counts
276 → 276
Iterations
IterNodes
done5001
21790
1791
0322

prune802.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
0.3b
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
6.0b
(log (* (exp (* u2 PI)) (exp (* u2 PI))))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
427×add-exp-log
268×prod-exp
214×pow-exp
168×div-exp
94×pow-to-exp
84×rec-exp 1-exp
18×log-pow
17×add-sqr-sqrt
16×add-cbrt-cube add-log-exp
14×pow1
12×exp-prod *-un-lft-identity exp-to-pow add-cube-cbrt
11×associate-*r*
9×times-frac
8×unpow-prod-down
6×pow-prod-down associate-/l*
5×pow-sqr pow-prod-up
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u
3×associate-*l* cbrt-unprod div-inv pow-flip unswap-sqr
2×clear-num associate-/r* frac-2neg rem-log-exp inv-pow sqr-pow
1×pow2 log-prod pow-plus *-commutative
Counts
4 → 274
Calls
4 calls:
52.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
74.0ms
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
21.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
22.0ms
(log (* (exp (* u2 PI)) (exp (* u2 PI))))

series4.5s

Counts
4 → 12
Calls
4 calls:
1.1s
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
1.1s
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
1.1s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
1.1s
(log (* (exp (* u2 PI)) (exp (* u2 PI))))

simplify2.2s

Counts
286 → 286
Iterations
IterNodes
done5000
21680
1730
0307

prune953.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes494.0ms

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
done18
118
015

end0.0ms

sample2.4s

Algorithm
intervals
Results
2.0s8000×body80valid
279.0ms8000×pre80true