Details

Time bar (total: 3.4m)

sample179.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
17.0ms256×pre80true

simplify411.0ms

Calls
1 calls:
Slowest
411.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
0.2b
(* (* 2 PI) u2)
0.1b
(pow (* -2 (log u1)) 0.5)
0.0b
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
25×add-sqr-sqrt
24×prod-exp
16×*-un-lft-identity
14×add-cbrt-cube associate-*l* add-cube-cbrt
13×times-frac
12×pow1
10×pow-exp
8×div-exp associate-*r*
6×add-log-exp unswap-sqr
5×pow-to-exp cbrt-unprod sqr-pow
4×rec-exp 1-exp pow-prod-down insert-posit16
3×pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative sum-log flip3-+ associate-*l/ flip-+ div-inv
Calls
4 calls:
Slowest
59.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
28.0ms
(* (* 2 PI) u2)
25.0ms
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
9.0ms
(pow (* -2 (log u1)) 0.5)

series2.0s

Calls
4 calls:
Slowest
996.0ms
(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
610.0ms
(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
358.0ms
(pow (* -2 (log u1)) 0.5)
51.0ms
(* (* 2 PI) u2)

simplify12.4s

Calls
75 calls:
Slowest
836.0ms
(+ (* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI))))) 0.5)
719.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
606.0ms
(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
563.0ms
(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
430.0ms
(* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* u2 u2) u2))

prune1.4s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (pow (* (log u1) -2) 0.5) 6)
0.2b
(* (* 2 PI) u2)
0.1b
(pow (* (log u1) -2) 0.5)
0.0b
(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)

rewrite106.0ms

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-*r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ associate-*l* *-commutative flip-+ div-inv
Calls
4 calls:
Slowest
64.0ms
(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
23.0ms
(* (* 2 PI) u2)
10.0ms
(pow (* (log u1) -2) 0.5)
7.0ms
(/ (pow (* (log u1) -2) 0.5) 6)

series2.1s

Calls
4 calls:
Slowest
969.0ms
(/ (pow (* (log u1) -2) 0.5) 6)
629.0ms
(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
451.0ms
(pow (* (log u1) -2) 0.5)
48.0ms
(* (* 2 PI) u2)

simplify12.9s

Calls
69 calls:
Slowest
812.0ms
(+ (* 1/6 (* (pow (* (pow (log (/ 1 u1)) 1.0) (* (pow -2 1.0) (pow -1 1.0))) 0.5) (cos (* 2 (* u2 PI))))) 0.5)
618.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
529.0ms
(/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6))
470.0ms
(* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* u2 u2) u2))
453.0ms
(- (* (log (* (log u1) -2)) 0.5) (log 6))

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
34×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
26×add-exp-log
19×exp-sum
11×pow1 add-cbrt-cube
10×unpow-prod-down sqr-pow
8×div-exp
5×rem-log-exp prod-exp associate-/l*
4×exp-prod pow-exp insert-posit16 add-log-exp
3×associate-/r* associate-*r* pow-prod-down cbrt-unprod div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv clear-num frac-2neg exp-diff associate-*l* *-commutative rem-exp-log
Calls
4 calls:
Slowest
19.0ms
(/ (pow (* (log u1) -2) 0.5) 6)
13.0ms
(* (* 2 PI) u2)
7.0ms
(exp (log (/ (pow (* (log u1) -2) 0.5) 6)))
2.0ms
(log (/ (pow (* (log u1) -2) 0.5) 6))

series3.2s

Calls
4 calls:
Slowest
1.1s
(log (/ (pow (* (log u1) -2) 0.5) 6))
1.0s
(exp (log (/ (pow (* (log u1) -2) 0.5) 6)))
991.0ms
(/ (pow (* (log u1) -2) 0.5) 6)
35.0ms
(* (* 2 PI) u2)

simplify23.3s

Calls
111 calls:
Slowest
967.0ms
(log (* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
702.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
635.0ms
(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
610.0ms
(/ (* (cbrt (pow (* (log u1) -2) 0.5)) (cbrt (pow (* (log u1) -2) 0.5))) 1)
555.0ms
(exp (log (/ (pow (* (log u1) -2) (/ 0.5 2)) (* (cbrt 6) (cbrt 6)))))

prune1.8s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(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))
0.3b
(* (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)) (/ (pow (* (log u1) -2) 0.5) 6))
0.2b
(/ (pow (* (log u1) -2) 0.5) 6)

rewrite81.0ms

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-*r*
30×pow1
26×sqr-pow
22×cbrt-unprod
20×associate-*l*
19×unpow-prod-down swap-sqr
18×cbrt-undiv
12×unswap-sqr
11×frac-times associate-*l/
7×cbrt-div pow-plus associate-*r/ pow-prod-up
6×div-inv
5×associate-/l*
4×pow-prod-down insert-posit16 add-log-exp
3×pow2 associate-/r* pow-sqr
2×pow3 *-commutative
1×cbrt-prod clear-num frac-2neg pow1/3 rem-cbrt-cube
Calls
4 calls:
Slowest
32.0ms
(* (* (/ (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)))
14.0ms
(* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))
7.0ms
(/ (pow (* (log u1) -2) 0.5) 6)

series4.1s

Calls
4 calls:
Slowest
1.1s
(/ (pow (* (log u1) -2) 0.5) 6)
1.0s
(* (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)) (/ (pow (* (log u1) -2) 0.5) 6))
973.0ms
(* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6))
967.0ms
(cbrt (* (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)) (/ (pow (* (log u1) -2) 0.5) 6)))

simplify2.2m

Calls
383 calls:
Slowest
1.2s
(+ (+ (- (* (+ (log (log u1)) (log -2)) 0.5) (log 6)) (- (log (pow (* (log u1) -2) 0.5)) (log 6))) (- (* (+ (log (log u1)) (log -2)) 0.5) (log 6)))
881.0ms
(* (* (/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6)) (/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6))) (/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6)))
856.0ms
(* (* (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)) (/ (pow (* (log u1) -2) 0.5) 6)) (* (* (/ (pow (* (log u1) -2) 0.5) 6) (/ (pow (* (log u1) -2) 0.5) 6)) (/ (pow (* (log u1) -2) 0.5) 6)))
853.0ms
(+ (+ (- (* (log (* (log u1) -2)) 0.5) (log 6)) (log (/ (pow (* (log u1) -2) 0.5) 6))) (- (* (+ (log (log u1)) (log -2)) 0.5) (log 6)))
827.0ms
(* 1/36 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 1.0))

prune5.7s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.9s8000×body80valid
401.0ms8000×pre80true