Details

Time bar (total: 4.5m)

sample149.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
9.0ms256×pre80true

simplify695.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
694.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
Slowest
13.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
12.0ms
(* u2 (* 2 PI))
12.0ms
(pow (* -2 (log u1)) 0.5)
0.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)

series1.8s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(/ (pow (* -2 (log u1)) 0.5) 6)
446.0ms
(fma (cos (* u2 (* 2 PI))) (/ (pow (* -2 (log u1)) 0.5) 6) 0.5)
334.0ms
(pow (* -2 (log u1)) 0.5)
39.0ms
(* u2 (* 2 PI))

simplify12.1s

Counts
68 → 105
Calls
68 calls:
Slowest
808.0ms
(+ (* 1/6 (* (cos (* 2 (* u2 PI))) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))) 0.5)
648.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
470.0ms
(/ (* (* (pow (* -2 (log u1)) 0.5) (pow (* -2 (log u1)) 0.5)) (pow (* -2 (log u1)) 0.5)) (* (* 6 6) 6))
424.0ms
(/ (pow (* -2 (log u1)) 0.5) 6)
396.0ms
(/ (pow (* -2 (log u1)) (/ 0.5 2)) (sqrt 6))

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* u2 (* 2 PI))
0.3b
(/ 6 (pow (* -2 (log u1)) 0.5))
0.2b
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
0.1b
(pow (* -2 (log u1)) 0.5)

rewrite54.0ms

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:
Slowest
25.0ms
(* u2 (* 2 PI))
15.0ms
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
7.0ms
(/ 6 (pow (* -2 (log u1)) 0.5))
5.0ms
(pow (* -2 (log u1)) 0.5)

series2.7s

Counts
4 → 12
Calls
4 calls:
Slowest
1.3s
(/ 1 (/ 6 (pow (* -2 (log u1)) 0.5)))
1.0s
(/ 6 (pow (* -2 (log u1)) 0.5))
329.0ms
(pow (* -2 (log u1)) 0.5)
53.0ms
(* u2 (* 2 PI))

simplify49.8s

Counts
218 → 206
Calls
218 calls:
Slowest
810.0ms
(/ 1 (/ 1 (pow (* -2 (log u1)) (/ 0.5 2))))
724.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
724.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt 6) (cbrt 6)) (pow -2 0.5)))
714.0ms
(/ (sqrt 1) (/ (cbrt 6) (sqrt (pow (* -2 (log u1)) 0.5))))
678.0ms
(/ (* (* 1 1) 1) (* (* (/ 6 (pow (* -2 (log u1)) 0.5)) (/ 6 (pow (* -2 (log u1)) 0.5))) (/ 6 (pow (* -2 (log u1)) 0.5))))

prune2.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(* u2 (* 2 PI))
0.3b
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
0.2b
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))

rewrite136.0ms

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:
Slowest
65.0ms
(* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
27.0ms
(/ 1 (* 6 (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)))
22.0ms
(* u2 (* 2 PI))
13.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))

series3.6s

Counts
4 → 12
Calls
4 calls:
Slowest
1.4s
(/ 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))
986.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
41.0ms
(* u2 (* 2 PI))

simplify45.6s

Counts
186 → 276
Calls
186 calls:
Slowest
793.0ms
(* 6 (pow (/ 1 (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0)))) 0.5))
729.0ms
(- 0 (+ (log 6) (* (- (log 1) (+ (* (log -2) 1.0) (* (log (log u1)) 1.0))) 0.5)))
690.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
636.0ms
(/ (* (* 1 1) 1) (* (* (* 6 6) 6) (* (* (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))))
594.0ms
(- (log 1) (+ (log 6) (* (- (log 1) (+ (* (log -2) 1.0) (log (pow (log u1) 1.0)))) 0.5)))

prune3.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ 1 6) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
0.3b
(* u2 (* 2 PI))
0.3b
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
0.1b
(pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
477×add-exp-log
318×div-exp
299×times-frac
263×pow-exp
165×prod-exp
136×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
113×pow-to-exp
105×unpow-prod-down
93×rec-exp 1-exp
29×div-inv
19×add-cbrt-cube
16×associate-/l*
15×sqr-pow
12×pow1 associate-/r*
5×cbrt-undiv pow-prod-down
4×expm1-log1p-u pow-pow cbrt-unprod insert-posit16 log1p-expm1-u pow-flip add-log-exp
3×pow-unpow associate-*l*
2×clear-num frac-2neg inv-pow
1×associate-*r* *-commutative associate-/l/
Counts
4 → 448
Calls
4 calls:
Slowest
38.0ms
(/ (/ 1 6) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
28.0ms
(pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)
20.0ms
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
17.0ms
(* u2 (* 2 PI))

series3.7s

Counts
4 → 12
Calls
4 calls:
Slowest
1.7s
(pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5)
1.0s
(/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))
981.0ms
(/ (/ 1 6) (pow (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0))) 0.5))
39.0ms
(* u2 (* 2 PI))

simplify2.2m

Counts
539 → 460
Calls
539 calls:
Slowest
895.0ms
(/ (sqrt (/ 1 6)) (pow (/ (sqrt 1) (pow -2 1.0)) 0.5))
887.0ms
(pow (pow (pow (pow (pow (pow (pow (/ 1 (* (pow (- (log -1) (log (/ -1 u1))) 1.0) (pow -2 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0)
787.0ms
(- (- (log 1) (log 6)) (* (- (+ (log (pow -2 1.0)) (log (pow (log u1) 1.0)))) 0.5))
682.0ms
(/ (/ 1 6) (pow (sqrt (/ 1 (* (pow -2 1.0) (pow (log u1) 1.0)))) 0.5))
651.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

prune5.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

regimes341.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch6.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.2s8000×body80valid
427.0ms8000×pre80true