Details

Time bar (total: 57.8s)

sample279.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify72.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
68.0ms
(/ (- (+ f n)) (- f n))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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
43.0ms
(/ (- (+ f n)) (- f n))

series145.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
144.0ms
(/ (- (+ f n)) (- f n))

simplify3.6s

Counts
144 → 101
Calls
144 calls:
Slowest
336.0ms
(- (- (* f f) (* n n)))
234.0ms
(- (+ (pow f 3) (pow n 3)))
183.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))
146.0ms
(/ (- (* (cbrt (+ f n)) (cbrt (+ f n)))) (* (cbrt (- f n)) (cbrt (- f n))))
73.0ms
(/ (- (+ f n)) (- (sqrt f) (sqrt n)))

prune797.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite135.0ms

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 expm1-log1p-u log-prod flip3-- div-sub insert-posit16 log1p-expm1-u 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 → 261
Calls
3 calls:
Slowest
55.0ms
(exp (/ (- (+ f n)) (- f n)))
50.0ms
(log (exp (/ (- (+ f n)) (- f n))))
19.0ms
(/ (- (+ f n)) (- f n))

series375.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
155.0ms
(exp (/ (- (+ f n)) (- f n)))
120.0ms
(/ (- (+ f n)) (- f n))
100.0ms
(log (exp (/ (- (+ f n)) (- f n))))

simplify8.6s

Counts
291 → 270
Calls
291 calls:
Slowest
324.0ms
(exp (/ (- (+ f n)) (- (pow f 3) (pow n 3))))
306.0ms
(- (- (* f f) (* n n)))
237.0ms
(- (+ (pow f 3) (pow n 3)))
224.0ms
(exp (/ (- (+ f n)) (- (* f f) (* n n))))
183.0ms
(/ (* (* (- (+ f n)) (- (+ f n))) (- (+ f n))) (* (* (- f n) (- f n)) (- f n)))

prune2.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
136×*-un-lft-identity
98×times-frac
94×add-sqr-sqrt
78×exp-prod
60×add-cube-cbrt
54×pow-flip
29×log-pow
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
13×log-prod
9×add-exp-log
8×associate-/r* add-cbrt-cube associate-/r/
7×pow1 associate-/l*
6×div-inv
5×div-exp add-log-exp
4×expm1-log1p-u flip3-- rem-log-exp insert-posit16 log1p-expm1-u flip--
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp inv-pow associate-/l/
1×log-div flip3-+ log-rec flip-+ rem-exp-log
Counts
4 → 203
Calls
4 calls:
Slowest
58.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
51.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
43.0ms
(exp (/ (+ f n) (- f n)))
25.0ms
(/ (+ f n) (- f n))

series600.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
187.0ms
(/ 1 (exp (/ (+ f n) (- f n))))
176.0ms
(log (/ 1 (exp (/ (+ f n) (- f n)))))
135.0ms
(exp (/ (+ f n) (- f n)))
101.0ms
(/ (+ f n) (- f n))

simplify5.6s

Counts
190 → 215
Calls
190 calls:
Slowest
242.0ms
(exp (/ (+ f n) (- (pow f 3) (pow n 3))))
206.0ms
(- (+ (* f f) (+ (* n n) (* f n))))
188.0ms
(- (+ (* f f) (+ (* n n) (* f n))))
165.0ms
(exp (/ (+ f n) (- (* f f) (* n n))))
156.0ms
(/ (* (* 1 1) 1) (* (* (exp (/ (+ f n) (- f n))) (exp (/ (+ f n) (- f n)))) (exp (/ (+ f n) (- f n)))))

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ f n) (- f n))
0.0b
(pow E (/ (+ f n) (- f n)))
0.0b
(log (/ 1 (pow E (/ (+ f n) (- f n)))))
0.0b
(/ 1 (pow E (/ (+ f n) (- f n))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
82×times-frac
74×add-sqr-sqrt
56×add-cube-cbrt
28×add-exp-log
26×pow-unpow
25×log-prod
24×unpow-prod-down
17×div-exp
14×pow-exp
13×rem-log-exp
12×associate-/r*
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×rec-exp add-cbrt-cube 1-exp sqr-pow
7×pow-to-exp e-exp-1 associate-/l*
6×pow1
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×log-pow
2×cbrt-undiv clear-num frac-2neg flip3-- pow-flip flip-- inv-pow associate-/l/
1×log-div pow-pow flip3-+ log-rec flip-+
Counts
4 → 204
Calls
4 calls:
Slowest
18.0ms
(/ (+ f n) (- f n))
13.0ms
(/ 1 (pow E (/ (+ f n) (- f n))))
8.0ms
(pow E (/ (+ f n) (- f n)))
4.0ms
(log (/ 1 (pow E (/ (+ f n) (- f n)))))

series667.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
206.0ms
(/ 1 (pow E (/ (+ f n) (- f n))))
193.0ms
(pow E (/ (+ f n) (- f n)))
181.0ms
(log (/ 1 (pow E (/ (+ f n) (- f n)))))
87.0ms
(/ (+ f n) (- f n))

simplify29.2s

Counts
194 → 216
Calls
194 calls:
Slowest
897.0ms
(/ 1 (pow E (/ (+ f n) (- f n))))
618.0ms
(sqrt (pow E (/ (+ f n) (- f n))))
601.0ms
(/ 1 (* (cbrt (pow E (/ (+ f n) (- f n)))) (cbrt (pow E (/ (+ f n) (- f n))))))
577.0ms
(log (/ 1 (sqrt (pow E (/ (+ f n) (- f n))))))
577.0ms
(log (* (cbrt (/ 1 (pow E (/ (+ f n) (- f n))))) (cbrt (/ 1 (pow E (/ (+ f n) (- f n)))))))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes77.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid