Details

Time bar (total: 16.9s)

sample142.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
731
631
529
424
320
216
113
06

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
47.0ms
(/ (- (+ f n)) (- f n))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(/ (- (+ f n)) (- f n))

simplify2.5s

Counts
101 → 101
Iterations
IterNodes
45643
31842
2705
1317
0136

prune759.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

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--
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-neg-frac 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:
39.0ms
(/ (+ n f) (- f n))
22.0ms
(/ (+ n f) (- f n))
71.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
95.0ms
(cbrt (* (- (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))

series650.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ (+ n f) (- f n))
101.0ms
(/ (+ n f) (- f n))
91.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
378.0ms
(cbrt (* (- (/ (+ n f) (- f n))) (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))

simplify863.0ms

Counts
258 → 258
Iterations
IterNodes
22603
1684
0208

prune3.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite145.0ms

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*
6×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/
2×clear-num frac-2neg flip3-+ associate-*l/ flip-+
1×cbrt-prod pow2 frac-times cbrt-div pow-plus pow1/3 pow-prod-down associate-*r/ pow-sqr *-commutative pow-prod-up distribute-neg-frac
Counts
4 → 240
Calls
4 calls:
20.0ms
(/ (+ n f) (- f n))
27.0ms
(/ (+ n f) (- f n))
73.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
19.0ms
(cbrt (* (- (/ (+ n f) (- f n))) (log (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))

series707.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (+ n f) (- f n))
126.0ms
(/ (+ n f) (- f n))
115.0ms
(* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))
363.0ms
(cbrt (* (- (/ (+ n f) (- f n))) (log (exp (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n)))))))

simplify706.0ms

Counts
252 → 252
Iterations
IterNodes
22331
1642
0195

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity
136×times-frac
131×add-sqr-sqrt
74×add-cube-cbrt
71×sqrt-prod
58×associate-*l*
41×associate-*r*
21×distribute-lft-neg-in distribute-rgt-neg-in add-exp-log
17×distribute-lft-out
16×add-cbrt-cube
15×distribute-lft-out-- difference-of-squares
9×unswap-sqr
8×div-exp
7×associate-/l*
6×prod-exp
5×cbrt-undiv associate-/r*
4×pow1 associate-/r/ cbrt-unprod
3×neg-mul-1 div-inv
2×expm1-log1p-u flip3-- sqrt-div 1-exp insert-posit16 log1p-expm1-u flip-- add-log-exp associate-/l/
1×distribute-lft-neg-out frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative flip-+
Counts
2 → 200
Calls
2 calls:
18.0ms
(/ (sqrt (+ f n)) (- f n))
78.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (sqrt (+ f n)) (- f n))
106.0ms
(* (/ (- (sqrt (+ f n))) 1) (/ (sqrt (+ f n)) (- f n)))

simplify723.0ms

Counts
206 → 206
Iterations
IterNodes
22343
1798
0258

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
426
326
225
117
011

end0.0ms

sample799.0ms

Algorithm
intervals
Results
596.0ms8000×body80valid