Details

sample140.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify37.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

36.0ms

(/ (- (+ f n)) (- f n))

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ f n)) (- f n))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
60×	`times-frac`
58×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
24×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out` `associate-/l*`
6×	`neg-mul-1`
5×	`associate-/r*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `distribute-neg-frac` `associate-/l/`
1×	`neg-sub0` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-sub` `div-exp` `distribute-frac-neg` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 96

Calls

1 calls:

Slowest

24.0ms

(/ (- (+ f n)) (- f n))

series109.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

108.0ms

(/ (- (+ f n)) (- f n))

simplify4.7s

Counts

161 → 99

Calls

161 calls:

Slowest

294.0ms	(/ (- (+ f n)) (- (pow f 3) (pow n 3)))
274.0ms	(* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n)))
209.0ms	(* (- f n) (+ (* f f) (- (* n n) (* f n))))
173.0ms	(/ (- (+ f n)) (- (* f f) (* n n)))
146.0ms	(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune775.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- f n) (+ f n))
0.0b	(/ -1 (/ (- f n) (+ f n)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 170

Calls

2 calls:

Slowest

20.0ms	(/ -1 (/ (- f n) (+ f n)))
16.0ms	(/ (- f n) (+ f n))

series206.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(/ (- f n) (+ f n))
92.0ms	(/ -1 (/ (- f n) (+ f n)))

simplify18.0s

Counts

277 → 176

Calls

277 calls:

Slowest

727.0ms	(* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n))))
546.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
477.0ms	(/ (sqrt -1) (/ (- (sqrt f) (sqrt n)) (+ f n)))
308.0ms	(/ -1 (/ (- f n) (+ (pow f 3) (pow n 3))))
295.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- f n) (+ f n))
0.0b	(/ -1 (/ (- f n) (+ f n)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

2 → 170

Calls

2 calls:

Slowest

31.0ms	(/ -1 (/ (- f n) (+ f n)))
16.0ms	(/ (- f n) (+ f n))

series224.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

118.0ms	(/ (- f n) (+ f n))
106.0ms	(/ -1 (/ (- f n) (+ f n)))

simplify17.4s

Counts

277 → 176

Calls

277 calls:

Slowest

749.0ms	(* (* (/ -1 (/ (- f n) (+ f n))) (/ -1 (/ (- f n) (+ f n)))) (/ -1 (/ (- f n) (+ f n))))
618.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
321.0ms	(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
283.0ms	(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
276.0ms	(/ -1 (/ (- f n) (+ (pow f 3) (pow n 3))))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- f n))
0.5b	(cbrt (- f n))
0.5b	(cbrt (- f n))
0.4b	(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

456×	`times-frac`
326×	`add-sqr-sqrt` `*-un-lft-identity`
305×	`cbrt-prod`
204×	`add-cube-cbrt`
61×	`distribute-lft-out--` `difference-of-squares`
30×	`associate-/l*`
26×	`cbrt-div`
20×	`associate-/r/`
13×	`flip3--` `add-exp-log` `flip--`
10×	`div-inv`
8×	`associate-/r*`
7×	`pow1`
6×	`add-cbrt-cube` `div-exp`
5×	`pow1/3`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `pow-div`
2×	`pow-flip`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `inv-pow` `associate-/l/`

Counts

4 → 349

Calls

4 calls:

Slowest

27.0ms	(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))
5.0ms	(cbrt (- f n))
3.0ms	(cbrt (- f n))
3.0ms	(cbrt (- f n))

series795.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

241.0ms	(cbrt (- f n))
212.0ms	(cbrt (- f n))
174.0ms	(cbrt (- f n))
168.0ms	(/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))

simplify29.8s

Counts

620 → 361

Calls

620 calls:

Slowest

714.0ms	(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n))))) (* (cbrt (cbrt (- f n))) (cbrt (cbrt (- f n)))))
711.0ms	(* (* (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n)))) (/ (/ 1 (cbrt (- f n))) (cbrt (- f n))))
594.0ms	(/ (/ 1 (cbrt (- f n))) (cbrt (- (* f f) (* n n))))
512.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
457.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 f)))))

prune4.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample797.0ms

Algorithm

intervals

Results

637.0ms

8000×

body

valid