Details

Time bar (total: 1.0m)

sample153.0ms

Algorithm
intervals
Results
76.0ms256×body80valid

simplify64.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
63.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

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))

rewrite51.0ms

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
46.0ms
(/ (- (+ f n)) (- f n))

series120.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
119.0ms
(/ (- (+ f n)) (- f n))

simplify3.5s

Counts
144 → 99
Calls
144 calls:
Slowest
271.0ms
(- (- (* f f) (* n n)))
223.0ms
(- (+ (pow f 3) (pow n 3)))
175.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
83.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
66.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (sqrt (- f n)))

prune728.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
284×*-un-lft-identity
168×times-frac
146×add-sqr-sqrt
74×add-cube-cbrt
50×distribute-lft-out
48×swap-sqr
42×distribute-lft-out--
30×difference-of-squares
26×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r/
11×pow1
10×associate-/r*
8×associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv flip3-- div-exp associate-*r/ div-inv flip-- distribute-neg-frac
4×associate-*l/ prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr associate-/l/
2×clear-num frac-2neg flip3-+ flip-+
1×cbrt-prod pow2 pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 238
Calls
4 calls:
Slowest
65.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
20.0ms
(/ (+ n f) (- f n))
20.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
18.0ms
(/ (+ n f) (- f n))

series723.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
427.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
106.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
95.0ms
(/ (+ n f) (- f n))
95.0ms
(/ (+ n f) (- f n))

simplify18.4s

Counts
299 → 250
Calls
299 calls:
Slowest
585.0ms
(* (/ (+ n f) (- (pow f 3) (pow n 3))) (/ (+ n f) (- (pow f 3) (pow n 3))))
547.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
530.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
486.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
470.0ms
(* (/ (+ n f) (- (* f f) (* n n))) (/ (+ n f) (- (* f f) (* n n))))

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

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)))
30.0ms
(/ (- f n) (+ f n))

series185.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
96.0ms
(/ (- f n) (+ f n))
89.0ms
(/ -1 (/ (- f n) (+ f n)))

simplify13.2s

Counts
249 → 176
Calls
249 calls:
Slowest
490.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (* (cbrt (- f n)) (cbrt (- f n))) (* (cbrt (+ f n)) (cbrt (+ f n)))))
312.0ms
(/ (sqrt -1) (/ (- f n) (+ (pow f 3) (pow n 3))))
294.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ 1 (* (cbrt (+ f n)) (cbrt (+ f n)))))
283.0ms
(/ (* (cbrt -1) (cbrt -1)) (/ (- f n) (- (* f f) (* n n))))
281.0ms
(/ (* (* -1 -1) -1) (/ (* (* (- f n) (- f n)) (- f n)) (* (* (+ f n) (+ f n)) (+ f n))))

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
285×*-un-lft-identity
168×times-frac
147×add-sqr-sqrt
75×add-cube-cbrt
50×distribute-lft-out
48×swap-sqr
42×distribute-lft-out--
30×difference-of-squares
26×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r/
11×pow1
10×associate-/r*
8×associate-/l*
6×cbrt-prod cbrt-undiv flip3-- div-exp div-inv flip--
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr associate-/l/
3×cbrt-div distribute-neg-frac
2×frac-times clear-num frac-2neg flip3-+ associate-*l/ associate-*r/ flip-+
1×pow2 distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 239
Calls
4 calls:
Slowest
47.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
18.0ms
(/ (+ n f) (- f n))
17.0ms
(/ (+ n f) (- f n))
1.0ms
(cbrt (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))

series514.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
254.0ms
(cbrt (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
94.0ms
(/ (+ n f) (- f n))
90.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
76.0ms
(/ (+ n f) (- f n))

simplify16.1s

Counts
300 → 251
Calls
300 calls:
Slowest
542.0ms
(cbrt (sqrt (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
521.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
503.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
438.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
405.0ms
(* (/ (+ n f) (- (* f f) (* n n))) (/ (+ n f) (- (* f f) (* n n))))

prune2.7s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

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

bsearch9.0ms

end0.0ms

sample844.0ms

Algorithm
intervals
Results
672.0ms8000×body80valid