Details

sample371.0ms

Algorithm

intervals

Results

51.0ms	256×	body	80	valid
12.0ms	256×	pre	80	true

simplify476.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

475.0ms

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
0.3b	(* (* 2 PI) u2)
0.2b	(pow (* -2 (log u1)) 0.5)
0.0b	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)

rewrite139.0ms

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

60.0ms	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
29.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
28.0ms	(* (* 2 PI) u2)
19.0ms	(pow (* -2 (log u1)) 0.5)

series2.5s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(+ (* (* (/ 1 6) (pow (* -2 (log u1)) 0.5)) (cos (* (* 2 PI) u2))) 0.5)
960.0ms	(* (/ 1 6) (pow (* -2 (log u1)) 0.5))
471.0ms	(pow (* -2 (log u1)) 0.5)
46.0ms	(* (* 2 PI) u2)

simplify13.3s

Counts

75 → 113

Calls

75 calls:

Slowest

866.0ms	(+ (* 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)
731.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
652.0ms	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
628.0ms	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) (/ 0.5 2)))
458.0ms	(* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* u2 u2) u2))

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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

36.0ms	(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
22.0ms	(* (* 2 PI) u2)
10.0ms	(pow (* (log u1) -2) 0.5)
7.0ms	(/ (pow (* (log u1) -2) 0.5) 6)

series2.2s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(/ (pow (* (log u1) -2) 0.5) 6)
659.0ms	(+ (* (/ (pow (* (log u1) -2) 0.5) 6) (cos (* (* 2 PI) u2))) 0.5)
387.0ms	(pow (* (log u1) -2) 0.5)
64.0ms	(* (* 2 PI) u2)

simplify13.4s

Counts

69 → 100

Calls

69 calls:

Slowest

1.0s	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
924.0ms	(+ (* 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)
520.0ms	(/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6))
509.0ms	(* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* u2 u2) u2))
496.0ms	(* (* (* (* 2 PI) (* 2 PI)) (* 2 PI)) (* (* u2 u2) u2))

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
21×	`pow1`
20×	`add-cbrt-cube`
19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`times-frac`
12×	`associate-r`
11×	`prod-exp`
10×	`pow-prod-down`
9×	`cbrt-unprod`
6×	`sqrt-prod`
5×	`unpow-prod-down` `associate-/l*` `sqr-pow`
4×	`div-exp` `pow-exp` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-/r*`
2×	`pow-to-exp` `pow-pow` `associate-l` `*-commutative`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

52.0ms	(* (* (* 2 PI) (sqrt u2)) (sqrt u2))
26.0ms	(* (* 2 PI) (sqrt u2))
14.0ms	(/ (pow (* (log u1) -2) 0.5) 6)
10.0ms	(pow (* (log u1) -2) 0.5)

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

961.0ms	(/ (pow (* (log u1) -2) 0.5) 6)
351.0ms	(pow (* (log u1) -2) 0.5)
125.0ms	(* (* 2 PI) (sqrt u2))
61.0ms	(* (* (* 2 PI) (sqrt u2)) (sqrt u2))

simplify12.0s

Counts

88 → 116

Calls

88 calls:

Slowest

610.0ms	(* 1/6 (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
524.0ms	(/ (pow (* (log u1) -2) (/ 0.5 2)) 1)
502.0ms	(/ (* (* (pow (* (log u1) -2) 0.5) (pow (* (log u1) -2) 0.5)) (pow (* (log u1) -2) 0.5)) (* (* 6 6) 6))
454.0ms	(/ (pow (* (log u1) -2) (/ 0.5 2)) (sqrt 6))
446.0ms	(* (* (* (* 2 2) 2) (* (* PI PI) PI)) (* (* (sqrt u2) (sqrt u2)) (sqrt u2)))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
34×	`add-exp-log`
33×	`associate-l`
32×	`sqrt-prod`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
22×	`times-frac`
19×	`prod-exp`
16×	`add-cbrt-cube`
14×	`pow1`
9×	`associate-r`
8×	`unswap-sqr`
7×	`cbrt-unprod`
6×	`pow-exp` `sqr-pow`
5×	`sqrt-div` `pow-prod-down`
4×	`associate-*l/` `insert-posit16` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `*-commutative`
2×	`unpow-prod-down` `pow-pow` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 118

Calls

4 calls:

Slowest

76.0ms	(* (sqrt (/ 1 6)) (* (sqrt (/ 1 6)) (pow (* -2 (log u1)) 0.5)))
28.0ms	(* (* 2 PI) u2)
16.0ms	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) 0.5))
5.0ms	(pow (* -2 (log u1)) 0.5)

series2.7s

Counts

4 → 12

Calls

4 calls:

Slowest

1.1s	(* (sqrt (/ 1 6)) (pow (* -2 (log u1)) 0.5))
1.1s	(* (sqrt (/ 1 6)) (* (sqrt (/ 1 6)) (pow (* -2 (log u1)) 0.5)))
421.0ms	(pow (* -2 (log u1)) 0.5)
51.0ms	(* (* 2 PI) u2)

simplify16.2s

Counts

97 → 130

Calls

97 calls:

Slowest

918.0ms	(* (sqrt 1/6) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
879.0ms	(* (sqrt (sqrt (/ 1 6))) (pow (* -2 (log u1)) (/ 0.5 2)))
848.0ms	(* (sqrt (sqrt (/ 1 6))) (pow (* -2 (log u1)) (/ 0.5 2)))
740.0ms	(* (pow (sqrt 1/6) 2) (pow (* (pow -1 1.0) (* (pow -2 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
695.0ms	(* (sqrt (sqrt (/ 1 6))) (sqrt (pow (* -2 (log u1)) 0.5)))

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes740.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample2.6s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
342.0ms	8000×	pre	80	true