Details

Time bar (total: 20.9s)

sample96.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify50.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite49.0ms

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
44.0ms
(/ (- (+ f n)) (- f n))

series136.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
136.0ms
(/ (- (+ f n)) (- f n))

simplify810.0ms

Counts
101 → 101

prune759.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite359.0ms

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 insert-posit16 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 pow3 sqr-neg pow-prod-down pow-sqr *-commutative pow-prod-up distribute-rgt-neg-out rem-cbrt-cube
Counts
4 → 528
Calls
4 calls:
Slowest
138.0ms
(cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
110.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
41.0ms
(/ (- (+ f n)) (- f n))
40.0ms
(/ (- (+ f n)) (- f n))

series536.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
177.0ms
(cbrt (* (* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n))) (/ (- (+ f n)) (- f n))))
128.0ms
(/ (- (+ f n)) (- f n))
122.0ms
(* (/ (- (+ f n)) (- f n)) (/ (- (+ f n)) (- f n)))
108.0ms
(/ (- (+ f n)) (- f n))

simplify2.0s

Counts
540 → 540

prune6.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n))))
0.5b
(cbrt (- f n))
0.0b
(* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))

rewrite364.0ms

Algorithm
rewrite-expression-head
Rules
160×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
66×associate-*r*
64×add-cube-cbrt
44×distribute-lft-neg-in distribute-rgt-neg-in
27×add-cbrt-cube add-exp-log
26×distribute-lft-out-- difference-of-squares
22×distribute-lft-out
18×frac-times distribute-neg-frac
14×associate-*l/
13×cbrt-div
12×associate-/l*
11×neg-mul-1
10×prod-exp associate-*r/ cbrt-unprod
9×pow1 flip3-+ flip-+
6×cbrt-prod cbrt-undiv div-exp
5×associate-/r*
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×distribute-lft-neg-out flip3-- pow-prod-down distribute-frac-neg flip--
2×pow1/3 distribute-rgt-neg-out div-inv associate-/l/
1×neg-sub0 clear-num frac-2neg div-sub associate-*l* *-commutative
Counts
4 → 245
Calls
4 calls:
Slowest
156.0ms
(* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))
150.0ms
(cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n))))
41.0ms
(/ (- (+ f n)) (- f n))
6.0ms
(cbrt (- f n))

series652.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(cbrt (* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n))))
202.0ms
(cbrt (- f n))
112.0ms
(* (* (/ (- (+ f n)) (- f n)) (- (+ f n))) (/ (- (+ f n)) (- f n)))
99.0ms
(/ (- (+ f n)) (- f n))

simplify2.1s

Counts
257 → 257

prune3.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

2.5b
(log1p (/ (- (+ f n)) (- f n)))
0.0b
(/ (- (+ f n)) (- f n))
0.0b
(expm1 (log1p (/ (- (+ f n)) (- f n))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
60×add-sqr-sqrt times-frac
34×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* add-cbrt-cube add-exp-log
4×expm1-log1p-u
3×pow1 insert-posit16 log1p-expm1-u add-log-exp
2×associate-/r/ distribute-neg-frac associate-/l/
1×neg-sub0 cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg flip3-+ flip3-- div-sub div-exp log1p-expm1 distribute-frac-neg flip-+ div-inv flip-- expm1-udef
Counts
3 → 122
Calls
3 calls:
Slowest
22.0ms
(/ (- (+ f n)) (- f n))
0.0ms
(log1p (/ (- (+ f n)) (- f n)))
0.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))

series578.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
344.0ms
(expm1 (log1p (/ (- (+ f n)) (- f n))))
150.0ms
(log1p (/ (- (+ f n)) (- f n)))
84.0ms
(/ (- (+ f n)) (- f n))

simplify929.0ms

Counts
131 → 131

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.0b remaining)

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

bsearch21.0ms

end0.0ms

sample852.0ms

Algorithm
intervals
Results
616.0ms8000×body80valid