Details

sample65.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify103.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

102.0ms

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

prune10.0ms

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))

rewrite24.0ms

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

20.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

107.0ms

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

simplify3.6s

Counts

144 → 99

Calls

144 calls:

Slowest

293.0ms	(- (- (* f f) (* n n)))
223.0ms	(- (+ (pow f 3) (pow n 3)))
209.0ms	(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
87.0ms	(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
65.0ms	(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) 1)

prune698.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

24.0ms	(/ (- f n) (+ f n))
13.0ms	(/ -1 (/ (- f n) (+ f n)))

series198.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

113.0ms	(/ -1 (/ (- f n) (+ f n)))
85.0ms	(/ (- f n) (+ f n))

simplify13.4s

Counts

249 → 176

Calls

249 calls:

Slowest

574.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
295.0ms	(/ 1 (/ (- f n) (+ (pow f 3) (pow n 3))))
290.0ms	(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
277.0ms	(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
257.0ms	(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

229×	`*-un-lft-identity`
180×	`times-frac`
165×	`add-sqr-sqrt`
132×	`exp-prod`
91×	`add-cube-cbrt`
67×	`log-pow`
64×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
37×	`distribute-lft-out--` `difference-of-squares`
32×	`distribute-lft-out`
16×	`neg-mul-1`
12×	`associate-/l*`
6×	`associate-/r/`
5×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
4×	`pow1` `distribute-frac-neg` `add-log-exp`
3×	`neg-sub0` `exp-neg` `log-prod` `flip3--` `div-sub` `insert-posit16` `div-inv` `flip--`
2×	`log-div` `exp-diff` `distribute-neg-frac` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `rem-log-exp` `log-rec` `flip-+` `rem-exp-log`

Counts

3 → 255

Calls

3 calls:

Slowest

42.0ms	(exp (/ (- (+ f n)) (- f n)))
38.0ms	(log (exp (/ (- (+ f n)) (- f n))))
19.0ms	(/ (- (+ f n)) (- f n))

series317.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

130.0ms	(exp (/ (- (+ f n)) (- f n)))
96.0ms	(/ (- (+ f n)) (- f n))
91.0ms	(log (exp (/ (- (+ f n)) (- f n))))

simplify8.4s

Counts

291 → 264

Calls

291 calls:

Slowest

394.0ms	(/ (sqrt (+ f n)) (- f n))
258.0ms	(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
217.0ms	(- (- (* f f) (* n n)))
207.0ms	(exp (/ (- (+ f n)) (- (* f f) (* n n))))
202.0ms	(- (+ (pow f 3) (pow n 3)))

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ f n))
0.5b	(cbrt (+ f n))
0.5b	(cbrt (+ f n))
0.5b	(cbrt (- f n))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod`
16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 61

Calls

4 calls:

Slowest

5.0ms	(cbrt (- f n))
5.0ms	(cbrt (+ f n))
5.0ms	(cbrt (+ f n))
5.0ms	(cbrt (+ f n))

series720.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(cbrt (- f n))
181.0ms	(cbrt (+ f n))
180.0ms	(cbrt (+ f n))
174.0ms	(cbrt (+ f n))

simplify3.2s

Counts

37 → 73

Calls

37 calls:

Slowest

584.0ms	(exp (* 1/3 (- (log -1) (log (/ -1 f)))))
389.0ms	(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
389.0ms	(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
364.0ms	(- (+ (* 1/3 (* (pow (/ 1 (pow n 2)) 1/3) f)) (pow n 1/3)) (* 1/9 (* (pow (/ 1 (pow n 5)) 1/3) (pow f 2))))
345.0ms	(- (exp (* 1/3 (+ (log -1) (log n)))) (+ (* 1/9 (* (pow f 2) (exp (* 1/3 (- (log -1) (* 5 (log n))))))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log n))))) f))))

prune808.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample682.0ms

Algorithm

intervals

Results

564.0ms

8000×

body

valid