Details

Time bar (total: 3.1m)

sample806.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify74.0ms

Calls
1 calls:
Slowest
73.0ms
(/ (- (+ f n)) (- f n))

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite45.0ms

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
Calls
1 calls:
Slowest
40.0ms
(/ (- (+ f n)) (- f n))

series151.0ms

Calls
1 calls:
Slowest
151.0ms
(/ (- (+ f n)) (- f n))

simplify3.9s

Calls
144 calls:
Slowest
339.0ms
(- (- (* f f) (* n n)))
257.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
205.0ms
(- (+ (pow f 3) (pow n 3)))
132.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
88.0ms
(/ (* (cbrt (- (+ f n))) (cbrt (- (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))

prune649.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm
rewrite-expression-head
Rules
500×*-un-lft-identity
287×add-sqr-sqrt
196×frac-times
188×times-frac
165×associate-/r*
145×add-cube-cbrt
134×associate-/l*
87×distribute-lft-out
77×distribute-lft-out--
66×associate-/l/
65×difference-of-squares
48×swap-sqr
34×clear-num
33×frac-2neg flip3-+ flip-+
26×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
14×associate-*l/ associate-*r/ associate-/r/
11×pow1
7×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
3×un-div-inv
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
Calls
4 calls:
Slowest
105.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
29.0ms
(/ (+ n f) (- f n))
24.0ms
(/ (+ n f) (- f n))
23.0ms
(/ (+ n f) (- f n))

series401.0ms

Calls
4 calls:
Slowest
110.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
99.0ms
(/ (+ n f) (- f n))
97.0ms
(/ (+ n f) (- f n))
94.0ms
(/ (+ n f) (- f n))

simplify1.5m

Calls
763 calls:
Slowest
780.0ms
(* (+ (* f f) (+ (* n n) (* f n))) (+ (* f f) (+ (* n n) (* f n))))
770.0ms
(* (/ (- f n) (+ n f)) (/ (- f n) (sqrt (+ n f))))
704.0ms
(* (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))) (* (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (/ (+ n f) (- f n))))
615.0ms
(* (+ n f) (- (* n n) (* f f)))
576.0ms
(* (- (* n n) (* f f)) (* (cbrt (+ n f)) (cbrt (+ n f))))

prune4.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ f n) (sqrt (- f n)))
0.2b
(/ -1 (sqrt (- f n)))
0.1b
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
0.0b
(sqrt (- f n))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
339×*-un-lft-identity
303×add-sqr-sqrt
280×associate-/r*
256×sqrt-prod
238×frac-times
172×add-cube-cbrt
124×times-frac
123×associate-/l*
50×distribute-lft-out-- difference-of-squares
38×associate-*r*
36×clear-num
35×frac-2neg
33×distribute-lft-out
32×associate-/l/
30×associate-*l*
20×add-cbrt-cube add-exp-log
17×associate-*r/
16×flip3-+ flip-+
14×associate-*l/
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp
5×flip3-- flip--
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×un-div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative
Calls
4 calls:
Slowest
82.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))
19.0ms
(/ (+ f n) (sqrt (- f n)))
11.0ms
(/ -1 (sqrt (- f n)))
6.0ms
(sqrt (- f n))

series549.0ms

Calls
4 calls:
Slowest
242.0ms
(/ (+ f n) (sqrt (- f n)))
134.0ms
(/ -1 (sqrt (- f n)))
88.0ms
(sqrt (- f n))
85.0ms
(* (/ -1 (sqrt (- f n))) (/ (+ f n) (sqrt (- f n))))

simplify58.3s

Calls
766 calls:
Slowest
812.0ms
(* (/ -1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (sqrt (- f n))))
757.0ms
(/ (* (* -1 -1) -1) (* (* (sqrt (- f n)) (sqrt (- f n))) (sqrt (- f n))))
696.0ms
(* (/ -1 (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n))))) (/ (+ f n) (sqrt (* (cbrt (- f n)) (cbrt (- f n))))))
688.0ms
(* (- -1) (- (* f f) (* n n)))
443.0ms
(* (- -1) (+ (pow f 3) (pow n 3)))

prune4.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (sqrt (- f n)))
0.3b
(cbrt (sqrt (- f n)))
0.3b
(cbrt (sqrt (- f n)))
0.2b
(* (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
96×sqrt-prod
84×cbrt-prod
78×sqrt-div
66×unswap-sqr
47×associate-*l*
42×cbrt-div
32×*-un-lft-identity
30×flip3-- flip--
28×frac-times
22×associate-*r*
20×add-cube-cbrt
15×add-cbrt-cube
14×associate-*l/
10×pow1 cbrt-unprod
9×add-exp-log
8×associate-*r/
7×pow1/3
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp
2×*-commutative
1×sqrt-pow1 pow1/2
Calls
4 calls:
Slowest
161.0ms
(* (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))
13.0ms
(cbrt (sqrt (- f n)))
7.0ms
(cbrt (sqrt (- f n)))
7.0ms
(cbrt (sqrt (- f n)))

series925.0ms

Calls
4 calls:
Slowest
292.0ms
(* (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n)))) (cbrt (sqrt (- f n))))
239.0ms
(cbrt (sqrt (- f n)))
212.0ms
(cbrt (sqrt (- f n)))
181.0ms
(cbrt (sqrt (- f n)))

simplify17.6s

Calls
203 calls:
Slowest
653.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
639.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
619.0ms
(exp (* 1/6 (- (log -1) (log (/ -1 f)))))
589.0ms
(* (* (* (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n)))) (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n))))) (* (cbrt (sqrt (- f n))) (sqrt (sqrt (- f n))))) (* (* (cbrt (sqrt (- f n))) (cbrt (sqrt (- f n)))) (cbrt (sqrt (- f n)))))
516.0ms
(- (exp (* 1/6 (+ (log -1) (log n)))) (+ (* 1/6 (* (exp (* 1/6 (- (log -1) (* 5 (log n))))) f)) (* 5/72 (* (exp (* 1/6 (- (log -1) (* 11 (log n))))) (pow f 2)))))

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch10.0ms

end0.0ms

sample776.0ms

Algorithm
intervals
Results
618.0ms8000×body80valid