Details

sample224.0ms

Algorithm

intervals

Results

76.0ms	256×	body	80	valid
16.0ms	256×	pre	80	true

simplify5.2s

Counts: 1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
25×	`add-sqr-sqrt`
16×	`associate-r`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`prod-exp`
11×	`times-frac` `add-cbrt-cube`
9×	`pow1`
8×	`associate-l`
6×	`pow-exp` `add-log-exp`
5×	`unswap-sqr`
4×	`div-exp` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `pow-unpow` `cbrt-unprod`
2×	`unpow-prod-down` `pow-pow` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `associate-*r/` `flip-+` `div-inv`

Counts

4 → 91

Calls

4 calls:

Slowest

46.0ms	(* (pow (* -2 (log u1)) 0.5) (/ (cos (* 2 (* PI u2))) 6))
22.0ms	(+ 0.5 (* (pow (* -2 (log u1)) 0.5) (/ (cos (* 2 (* PI u2))) 6)))
10.0ms	(* PI u2)
9.0ms	(pow (* -2 (log u1)) 0.5)

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

682.0ms	(* (pow (* -2 (log u1)) 0.5) (/ (cos (* 2 (* PI u2))) 6))
527.0ms	(+ 0.5 (* (pow (* -2 (log u1)) 0.5) (/ (cos (* 2 (* PI u2))) 6)))
353.0ms	(pow (* -2 (log u1)) 0.5)
42.0ms	(* PI u2)

simplify781.0ms

Counts: 103 → 103

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`pow1` `add-cube-cbrt`
7×	`prod-exp`
6×	`add-log-exp`
5×	`div-exp`
4×	`pow-exp` `insert-posit16`
3×	`pow-unpow` `associate-/r` `times-frac` `associate-r` `associate-l*`
2×	`pow-to-exp` `cbrt-undiv` `pow-pow` `pow-prod-down` `cbrt-unprod`
1×	`+-commutative` `clear-num` `sum-log` `unpow-prod-down` `frac-2neg` `flip3-+` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 75

Calls

4 calls:

Slowest

36.0ms	(/ (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))) 6)
15.0ms	(+ 0.5 (/ (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))) 6))
15.0ms	(* PI u2)
10.0ms	(pow (* -2 (log u1)) 0.5)

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

572.0ms	(/ (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))) 6)
562.0ms	(+ 0.5 (/ (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))) 6))
399.0ms	(pow (* -2 (log u1)) 0.5)
27.0ms	(* PI u2)

simplify2.6s

Counts: 87 → 87

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`associate-r`
30×	`add-exp-log` `sqrt-prod`
25×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
17×	`prod-exp`
15×	`add-cbrt-cube`
12×	`associate-l`
10×	`pow1`
8×	`unswap-sqr`
6×	`cbrt-unprod`
5×	`sqrt-div`
4×	`pow-exp` `associate-r/` `-commutative` `insert-posit16` `add-log-exp` `sqr-pow`
3×	`pow-prod-down`
2×	`pow-to-exp` `div-inv`
1×	`frac-times` `unpow-prod-down` `associate-*l/`

Counts

4 → 117

Calls

4 calls:

Slowest

37.0ms	(* (* (pow (* -2 (log u1)) 0.5) (sqrt (/ (cos (* 2 (* PI u2))) 6))) (sqrt (/ (cos (* 2 (* PI u2))) 6)))
29.0ms	(* (pow (* -2 (log u1)) 0.5) (sqrt (/ (cos (* 2 (* PI u2))) 6)))
16.0ms	(* PI u2)
10.0ms	(* PI u2)

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

753.0ms	(* (* (pow (* -2 (log u1)) 0.5) (sqrt (/ (cos (* 2 (* PI u2))) 6))) (sqrt (/ (cos (* 2 (* PI u2))) 6)))
688.0ms	(* (pow (* -2 (log u1)) 0.5) (sqrt (/ (cos (* 2 (* PI u2))) 6)))
37.0ms	(* PI u2)
22.0ms	(* PI u2)

simplify2.6s

Counts: 129 → 129

prune2.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
36×	`times-frac`
32×	`div-exp`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity` `add-cube-cbrt`
22×	`prod-exp`
20×	`add-cbrt-cube`
10×	`pow1` `pow-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`rec-exp` `1-exp` `div-inv` `associate-/l*`
5×	`pow-to-exp`
4×	`insert-posit16` `add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l` `cbrt-unprod`
2×	`clear-num` `pow-pow` `frac-2neg` `pow-prod-down`
1×	`unpow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr` `sqr-pow`

Counts

4 → 128

Calls

4 calls:

Slowest

81.0ms	(/ 1 (/ 6 (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2))))))
20.0ms	(/ 6 (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))))
9.0ms	(pow (* -2 (log u1)) 0.5)
5.0ms	(* PI u2)

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

588.0ms	(/ 1 (/ 6 (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2))))))
577.0ms	(/ 6 (* (pow (* -2 (log u1)) 0.5) (cos (* 2 (* PI u2)))))
423.0ms	(pow (* -2 (log u1)) 0.5)
24.0ms	(* PI u2)

simplify940.0ms

Counts: 140 → 140

prune2.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes586.0ms

Accuracy

0% (0.4b remaining)

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

bsearch4.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
389.0ms	8000×	pre	80	true