Details

sample47.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify1.5s

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize31.0ms

Local error

Found 1 expressions with local error:

15.8b

(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`cbrt-undiv` `div-exp`
5×	`add-sqr-sqrt`
4×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
3×	`*-un-lft-identity` `add-cube-cbrt` `associate-/l/`
2×	`associate-/r/` `difference-of-squares`
1×	`frac-times` `pow1` `clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

Slowest

61.0ms

(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

series107.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

107.0ms

(/ (* (/ i 2) (/ i 2)) (- (* (* 2 i) (* 2 i)) 1.0))

simplify2.7s

Counts: 38 → 38

prune332.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (/ i 2) (- (* 2 i) (sqrt 1.0)))
0.0b	(* (/ (/ i 2) (+ (* 2 i) (sqrt 1.0))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))
0.0b	(/ (/ i 2) (+ (* 2 i) (sqrt 1.0)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

300×	`times-frac`
193×	`add-sqr-sqrt`
157×	`*-un-lft-identity` `add-cube-cbrt`
49×	`add-cbrt-cube` `add-exp-log`
45×	`associate-r` `associate-l`
26×	`associate-/l*`
24×	`cbrt-undiv` `div-exp`
18×	`div-inv`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
8×	`associate-/r/`
6×	`associate-/r*`
5×	`pow1`
3×	`insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 276

Calls

3 calls:

Slowest

94.0ms	(* (/ (/ i 2) (+ (* 2 i) (sqrt 1.0))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))
29.0ms	(/ (/ i 2) (- (* 2 i) (sqrt 1.0)))
28.0ms	(/ (/ i 2) (+ (* 2 i) (sqrt 1.0)))

series569.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

303.0ms	(* (/ (/ i 2) (+ (* 2 i) (sqrt 1.0))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))
148.0ms	(/ (/ i 2) (- (* 2 i) (sqrt 1.0)))
118.0ms	(/ (/ i 2) (+ (* 2 i) (sqrt 1.0)))

simplify786.0ms

Counts: 285 → 285

prune2.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ i (sqrt (+ (* 2 i) (sqrt 1.0))))
0.1b	(/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0))))
0.1b	(* (/ i (sqrt (+ (* 2 i) (sqrt 1.0)))) (* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0)))))
0.0b	(* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

426×	`times-frac`
300×	`add-sqr-sqrt`
245×	`add-exp-log`
219×	`*-un-lft-identity`
213×	`add-cube-cbrt`
151×	`add-cbrt-cube`
122×	`div-exp`
111×	`sqrt-prod`
108×	`associate-l`
77×	`prod-exp`
68×	`cbrt-undiv`
47×	`cbrt-unprod`
46×	`associate-r`
21×	`div-inv` `unswap-sqr`
16×	`associate-/l*`
12×	`associate-/r*`
11×	`pow1`
10×	`rec-exp` `1-exp` `associate-/r/`
8×	`sqrt-div`
6×	`frac-times` `associate-*r/`
4×	`flip3-+` `pow-prod-down` `associate-*l/` `flip-+` `insert-posit16` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`flip3--` `flip--` `associate-/l/`

Counts

4 → 441

Calls

4 calls:

Slowest

89.0ms	(* (/ i (sqrt (+ (* 2 i) (sqrt 1.0)))) (* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0)))))
59.0ms	(* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))
22.0ms	(/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0))))
11.0ms	(/ i (sqrt (+ (* 2 i) (sqrt 1.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

428.0ms	(* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0))))
288.0ms	(/ i (sqrt (+ (* 2 i) (sqrt 1.0))))
272.0ms	(* (/ i (sqrt (+ (* 2 i) (sqrt 1.0)))) (* (/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0)))) (/ (/ i 2) (- (* 2 i) (sqrt 1.0)))))
265.0ms	(/ (/ 1 2) (sqrt (+ (* 2 i) (sqrt 1.0))))

simplify1.5s

Counts: 453 → 453

prune6.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
208.0ms	8000×	pre	80	true