Details

Time bar (total: 59.3s)

sample124.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify67.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
67.0ms
(/ (- (+ f n)) (- f n))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

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 expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp distribute-frac-neg flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 98
Calls
1 calls:
Slowest
22.0ms
(/ (- (+ f n)) (- f n))

series92.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
92.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
144 → 101
Calls
144 calls:
Slowest
295.0ms
(- (- (* f f) (* n n)))
258.0ms
(- (+ (pow f 3) (pow n 3)))
175.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
116.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
78.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) 1)

prune752.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

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))

rewrite122.0ms

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×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 246
Calls
4 calls:
Slowest
45.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
24.0ms
(/ (+ n f) (- f n))
23.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
21.0ms
(/ (+ n f) (- f n))

series718.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
402.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))))))
115.0ms
(/ (+ n f) (- f n))
106.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
94.0ms
(/ (+ n f) (- f n))

simplify18.9s

Counts
299 → 258
Calls
299 calls:
Slowest
730.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
669.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
495.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
429.0ms
(/ (sqrt (+ n f)) (+ (sqrt f) (sqrt n)))
398.0ms
(* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))))

prune2.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
85×add-sqr-sqrt
81×times-frac
78×exp-prod
54×log-pow
48×add-cube-cbrt
30×associate-*r*
26×associate-*l*
20×distribute-lft-out
16×distribute-lft-out-- difference-of-squares
9×log-prod add-cbrt-cube add-exp-log
8×pow1 associate-/r/
5×add-log-exp
4×expm1-log1p-u flip3-- associate-*l/ insert-posit16 log1p-expm1-u div-inv flip--
3×distribute-rgt-in cbrt-div distribute-lft-in
2×prod-exp cbrt-unprod distribute-neg-frac unswap-sqr
1×cbrt-prod frac-times cbrt-undiv pow1/3 div-exp rem-log-exp pow-prod-down associate-*r/ *-commutative rem-exp-log
Counts
4 → 174
Calls
4 calls:
Slowest
167.0ms
(* (/ (+ n f) (- f n)) (log (exp (/ (+ n f) (- f n)))))
23.0ms
(log (exp (/ (+ n f) (- f n))))
22.0ms
(exp (/ (+ n f) (- f n)))
18.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (log (exp (/ (+ n f) (- f n))))))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
397.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (/ (+ n f) (- f n)) (log (exp (/ (+ n f) (- f n))))))))
127.0ms
(* (/ (+ n f) (- f n)) (log (exp (/ (+ n f) (- f n)))))
117.0ms
(exp (/ (+ n f) (- f n)))
86.0ms
(log (exp (/ (+ n f) (- f n))))

simplify6.1s

Counts
144 → 186
Calls
144 calls:
Slowest
390.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (log (exp (/ (+ n f) (- f n)))) (log (exp (/ (+ n f) (- f n))))) (log (exp (/ (+ n f) (- f n))))))
302.0ms
(* (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))) (* (* (log (exp (/ (+ n f) (- f n)))) (log (exp (/ (+ n f) (- f n))))) (log (exp (/ (+ n f) (- f n))))))
268.0ms
(exp (/ (+ n f) (- (pow f 3) (pow n 3))))
240.0ms
(/ (+ n f) (- (pow f 3) (pow n 3)))
226.0ms
(cbrt (* (/ (+ n f) (- f n)) (- (* (+ n f) (log (exp (/ (+ n f) (- f n))))))))

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize40.0ms

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))

rewrite180.0ms

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×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 247
Calls
4 calls:
Slowest
92.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
38.0ms
(/ (+ n f) (- f n))
38.0ms
(/ (+ n f) (- f n))
3.0ms
(cbrt (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))

series633.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
311.0ms
(cbrt (- (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))
116.0ms
(/ (+ n f) (- f n))
114.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
92.0ms
(/ (+ n f) (- f n))

simplify18.3s

Counts
300 → 259
Calls
300 calls:
Slowest
715.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
655.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
509.0ms
(* (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))) (/ (* (cbrt (+ n f)) (cbrt (+ n f))) (* (cbrt (- f n)) (cbrt (- f n)))))
427.0ms
(cbrt (- (* (+ n f) (+ n f))))
338.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (/ (* (* (+ n f) (+ n f)) (+ n f)) (* (* (- f n) (- f n)) (- f n))))

prune3.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample745.0ms

Algorithm
intervals
Results
546.0ms8000×body80valid