Details

Time bar (total: 13.5s)

sample109.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify95.0ms

Counts
1 → 1
Iterations
IterNodes
done32
632
530
426
320
216
113
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

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-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
52.0ms
(/ (- (+ f n)) (- f n))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (- (+ f n)) (- f n))

simplify995.0ms

Counts
100 → 100
Iterations
IterNodes
done5002
21069
1316
0135

prune444.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite50.0ms

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-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 97
Calls
1 calls:
46.0ms
(/ (- (+ n f)) (- f n))

series109.0ms

Counts
1 → 3
Calls
1 calls:
109.0ms
(/ (- (+ n f)) (- f n))

simplify1.0s

Counts
100 → 100
Iterations
IterNodes
done5000
21081
1319
0137

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite362.0ms

Algorithm
rewrite-expression-head
Rules
247×*-un-lft-identity
180×times-frac
175×add-sqr-sqrt
97×add-cube-cbrt
72×distribute-lft-neg-in distribute-rgt-neg-in
39×distribute-lft-out-- difference-of-squares
36×distribute-lft-out associate-/l*
18×neg-mul-1
15×associate-/r*
10×add-cbrt-cube add-exp-log
7×cbrt-div
6×associate-/r/ distribute-neg-frac associate-/l/
5×frac-times associate-*l/
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×neg-sub0 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp associate-*r/ distribute-frac-neg flip-+ div-inv flip--
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 310
Calls
4 calls:
199.0ms
(cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))
48.0ms
(/ (- (+ n f)) (- f n))
48.0ms
(/ (- (+ n f)) (- f n))
50.0ms
(/ (- (+ n f)) (- f n))

series449.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ (- (+ n f)) (- f n))))
82.0ms
(/ (- (+ n f)) (- f n))
111.0ms
(/ (- (+ n f)) (- f n))
101.0ms
(/ (- (+ n f)) (- f n))

simplify1.3s

Counts
322 → 322
Iterations
IterNodes
done5001
21560
1391
0167

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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

rewrite445.0ms

Algorithm
rewrite-expression-head
Rules
804×*-un-lft-identity
524×times-frac
398×add-sqr-sqrt
206×add-cube-cbrt
200×distribute-rgt-neg-in
172×distribute-lft-neg-in
146×swap-sqr
130×distribute-lft-out--
114×distribute-lft-out
90×difference-of-squares
66×associate-*r* associate-*l*
36×neg-mul-1
24×associate-/l*
20×add-cbrt-cube add-exp-log
12×associate-/r/
11×pow1
10×associate-/r*
7×cbrt-div
6×frac-times cbrt-undiv flip3-- div-exp associate-*l/ distribute-frac-neg div-inv flip--
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod log1p-expm1-u distribute-neg-frac add-log-exp unswap-sqr associate-/l/
2×neg-sub0 clear-num frac-2neg flip3-+ div-sub flip-+
1×distribute-lft-neg-out cbrt-prod pow2 pow-plus pow1/3 sqr-neg pow-prod-down pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out
Counts
4 → 523
Calls
4 calls:
170.0ms
(* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))
159.0ms
(cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ -1 (/ (- f n) (+ n f)))))
45.0ms
(/ (- (+ n f)) (- f n))
26.0ms
(/ (- (+ n f)) (- f n))

series494.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n)))
171.0ms
(cbrt (* (* (/ (- (+ n f)) (- f n)) (/ (- (+ n f)) (- f n))) (/ -1 (/ (- f n) (+ n f)))))
93.0ms
(/ (- (+ n f)) (- f n))
101.0ms
(/ (- (+ n f)) (- f n))

simplify1.3s

Counts
535 → 535
Iterations
IterNodes
done5000
11304
0350

prune2.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.2s

Iterations
IterNodes
done5001
61570
5347
4159
369
241
128
015

end0.0ms

sample599.0ms

Algorithm
intervals
Results
338.0ms8000×body80valid