Details

sample202.0ms

Algorithm

intervals

Results

48.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify540.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

539.0ms

(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize69.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

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`

Counts

4 → 101

Calls

4 calls:

Slowest

89.0ms	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
27.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
14.0ms	(* (* 2 PI) u2)
5.0ms	(pow (* -2 (log u1)) 0.5)

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

993.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
638.0ms	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
365.0ms	(pow (* -2 (log u1)) 0.5)
57.0ms	(* (* 2 PI) u2)

simplify12.5s

Counts

75 → 113

Calls

75 calls:

Slowest

756.0ms	(+ (* 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)
675.0ms	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
616.0ms	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
612.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
472.0ms	(* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* u2 u2) u2))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite118.0ms

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`

Counts

4 → 88

Calls

4 calls:

Slowest

63.0ms	(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
28.0ms	(* (* 2 PI) u2)
14.0ms	(/ (pow (* (log u1) -2) 0.5) 6)
10.0ms	(pow (* (log u1) -2) 0.5)

series2.5s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(/ (pow (* (log u1) -2) 0.5) 6)
776.0ms	(pow (* (log u1) -2) 0.5)
592.0ms	(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
45.0ms	(* (* 2 PI) u2)

simplify12.5s

Counts

69 → 100

Calls

69 calls:

Slowest

850.0ms	(+ (* 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)
712.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
539.0ms	(/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6))
490.0ms	(* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* u2 u2) u2))
423.0ms	(/ (pow (* (log u1) -2) (/ 0.5 2)) 1)

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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`

Counts

4 → 125

Calls

4 calls:

Slowest

18.0ms	(* (* 2 PI) u2)
7.0ms	(/ (pow (* (log u1) -2) 0.5) 6)
4.0ms	(exp (log (/ (pow (* (log u1) -2) 0.5) 6)))
2.0ms	(log (/ (pow (* (log u1) -2) 0.5) 6))

series3.2s

Counts

4 → 12

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)))
1.0s	(/ (pow (* (log u1) -2) 0.5) 6)
49.0ms	(* (* 2 PI) u2)

simplify24.1s

Counts

111 → 137

Calls

111 calls:

Slowest

1.0s	(log (* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)))
719.0ms	(exp (log (/ (pow (* (log u1) -2) (/ 0.5 2)) (* (cbrt 6) (cbrt 6)))))
665.0ms	(/ (* (cbrt (pow (* (log u1) -2) 0.5)) (cbrt (pow (* (log u1) -2) 0.5))) 1)
604.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
565.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

prune1.9s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
27×	`add-sqr-sqrt`
23×	`prod-exp`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube` `associate-l`
13×	`times-frac`
11×	`pow1`
8×	`div-exp` `associate-r` `pow-exp`
6×	`log-prod` `unswap-sqr`
5×	`cbrt-unprod`
4×	`pow-to-exp` `log-div` `rec-exp` `exp-prod` `1-exp` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`exp-sum` `pow-prod-down`
2×	`flip3-+` `exp-diff` `log-pow` `*-commutative` `flip-+`
1×	`cbrt-undiv` `unpow-prod-down` `rem-log-exp` `associate-*l/` `div-inv` `rem-exp-log`

Counts

4 → 104

Calls

4 calls:

Slowest

114.0ms	(exp (log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)))
109.0ms	(log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5))
28.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
14.0ms	(* (* 2 PI) u2)

series2.3s

Counts

4 → 12

Calls

4 calls:

Slowest

958.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
747.0ms	(log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5))
564.0ms	(exp (log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)))
54.0ms	(* (* 2 PI) u2)

simplify19.4s

Counts

83 → 116

Calls

83 calls:

Slowest

893.0ms	(+ (* 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)
830.0ms	(log (+ (* 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))
692.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
660.0ms	(exp (log (sqrt (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5))))
641.0ms	(exp (* (cbrt (log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5))) (cbrt (log (+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)))))

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes925.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample3.3s

Algorithm

intervals

Results

2.8s	8000×	body	80	valid
398.0ms	8000×	pre	80	true