Details

Time bar (total: 21.6s)

sample139.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify79.0ms

Counts
1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 1 expressions with local error:

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

rewrite46.0ms

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
41.0ms
(/ (- (+ f n)) (- f n))

series146.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
146.0ms
(/ (- (+ f n)) (- f n))

simplify1.1s

Counts
99 → 99

prune789.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite130.0ms

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
54.0ms
(log (exp (/ (- (+ f n)) (- f n))))
51.0ms
(exp (/ (- (+ f n)) (- f n)))
19.0ms
(/ (- (+ f n)) (- f n))

series346.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
130.0ms
(exp (/ (- (+ f n)) (- f n)))
114.0ms
(/ (- (+ f n)) (- f n))
101.0ms
(log (exp (/ (- (+ f n)) (- f n))))

simplify979.0ms

Counts
264 → 264

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
296×*-un-lft-identity
264×exp-prod
240×times-frac
216×add-sqr-sqrt
138×log-pow
134×sqrt-pow1
120×add-cube-cbrt
80×distribute-lft-neg-in distribute-rgt-neg-in
48×distribute-lft-out-- difference-of-squares
40×distribute-lft-out
20×neg-mul-1
12×log-prod
8×pow1 associate-/r/
6×add-exp-log sqrt-prod add-log-exp
4×neg-sub0 exp-neg log-div flip3-- add-cbrt-cube exp-diff sqrt-div div-sub distribute-frac-neg insert-posit16 div-inv flip--
2×pow1/2 rem-log-exp rem-exp-log
Counts
4 → 326
Calls
4 calls:
Slowest
55.0ms
(exp (/ (- (+ f n)) (- f n)))
44.0ms
(exp (/ (- (+ f n)) (- f n)))
42.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
38.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))

series747.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
223.0ms
(log (sqrt (exp (/ (- (+ f n)) (- f n)))))
144.0ms
(exp (/ (- (+ f n)) (- f n)))
117.0ms
(exp (/ (- (+ f n)) (- f n)))

simplify998.0ms

Counts
338 → 338

prune4.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

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

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
645×*-un-lft-identity
404×times-frac
287×add-sqr-sqrt
152×distribute-rgt-neg-in
147×add-cube-cbrt
146×swap-sqr
124×distribute-lft-neg-in
104×distribute-lft-out--
90×distribute-lft-out
66×associate-*r* associate-*l*
64×difference-of-squares
24×neg-mul-1
16×add-cbrt-cube add-exp-log
12×pow1
8×exp-prod associate-/r/
7×cbrt-div
6×frac-times associate-*r/
5×log-pow add-log-exp
4×cbrt-undiv flip3-- div-exp associate-*l/ prod-exp distribute-frac-neg cbrt-unprod insert-posit16 div-inv flip-- unswap-sqr
3×cbrt-prod log-prod
1×distribute-lft-neg-out pow2 pow-plus pow1/3 cube-unmult rem-log-exp sqr-neg pow-prod-down pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out rem-cbrt-cube rem-exp-log
Counts
4 → 358
Calls
4 calls:
Slowest
100.0ms
(* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))
76.0ms
(cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))))
6.0ms
(exp (cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))))))
2.0ms
(log (exp (cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))))))

series909.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
462.0ms
(exp (cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))))))
192.0ms
(log (exp (cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))))))
158.0ms
(cbrt (* (/ (- (+ n f)) (- f n)) (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))))
96.0ms
(* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))

simplify1.8s

Counts
370 → 370

prune4.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample765.0ms

Algorithm
intervals
Results
595.0ms8000×body80valid