Details

Time bar (total: 25.4s)

sample364.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify274.0ms

Counts
1 → 1
Iterations
IterNodes
done31
631
529
424
320
216
113
06

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite98.0ms

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-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/ distribute-neg-frac
1×pow1 cbrt-undiv neg-sub0 expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 97
Calls
1 calls:
84.0ms
(/ (- (+ f n)) (- f n))

series212.0ms

Counts
1 → 3
Calls
1 calls:
211.0ms
(/ (- (+ f n)) (- f n))

simplify3.9s

Counts
100 → 100
Iterations
IterNodes
done5001
32299
2711
1316
0135

prune585.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
319×*-un-lft-identity
240×times-frac
227×add-sqr-sqrt
125×add-cube-cbrt
92×distribute-lft-neg-in distribute-rgt-neg-in
66×cbrt-prod
51×distribute-lft-out-- difference-of-squares
46×distribute-lft-out
36×associate-/l*
23×neg-mul-1
15×associate-/r*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/ distribute-neg-frac
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv neg-sub0 frac-2neg flip3-+ div-sub distribute-frac-neg div-exp clear-num flip-+
1×cbrt-div pow1/3
Counts
4 → 368
Calls
4 calls:
32.0ms
(cbrt (/ (- (+ f n)) (- f n)))
73.0ms
(/ (- (+ f n)) (- f n))
79.0ms
(/ (- (+ f n)) (- f n))
69.0ms
(/ (- (+ f n)) (- f n))

series946.0ms

Counts
4 → 12
Calls
4 calls:
488.0ms
(cbrt (/ (- (+ f n)) (- f n)))
152.0ms
(/ (- (+ f n)) (- f n))
142.0ms
(/ (- (+ f n)) (- f n))
164.0ms
(/ (- (+ f n)) (- f n))

simplify3.7s

Counts
380 → 380
Iterations
IterNodes
done5000
32527
2845
1414
0220

prune2.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize54.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- f n) (- f n))
2.0b
(- (* f f) (* n n))
29.9b
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
35×add-sqr-sqrt
25×add-cube-cbrt
19×prod-diff
14×flip3-- flip--
12×times-frac associate-/l*
11×distribute-rgt-in distribute-lft-in
10×pow1 add-exp-log add-cbrt-cube
9×difference-of-squares
8×distribute-lft-neg-in frac-times distribute-rgt-neg-in associate-/r/
7×swap-sqr
6×distribute-lft-out--
5×associate-*r* associate-*l* add-log-exp
4×associate-*r/ associate-*l/
3×expm1-log1p-u sub-neg log1p-expm1-u
2×cbrt-undiv neg-mul-1 div-exp prod-exp cbrt-unprod associate-/l/ distribute-neg-frac
1×pow2 neg-sub0 frac-2neg pow-plus fma-neg diff-log div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv unswap-sqr
Counts
3 → 135
Calls
3 calls:
93.0ms
(* (- f n) (- f n))
29.0ms
(- (* f f) (* n n))
108.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (- f n) (- f n))
84.0ms
(- (* f f) (* n n))
191.0ms
(/ (- (- (* f f) (* n n))) (* (- f n) (- f n)))

simplify2.8s

Counts
144 → 144
Iterations
IterNodes
done5018
21979
1622
0219

prune837.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (* f f) (* n n))
2.0b
(fma f f (* -2 (* f n)))
2.3b
(fma n n (fma f f (* -2 (* f n))))
29.9b
(/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
29×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×distribute-lft-neg-in distribute-rgt-neg-in
12×associate-/l*
9×difference-of-squares
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u neg-mul-1 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- fma-udef associate-/l/ distribute-neg-frac
1×cbrt-undiv neg-sub0 sub-neg frac-2neg fma-neg diff-log div-sub distribute-frac-neg div-exp prod-diff clear-num div-inv
Counts
4 → 106
Calls
4 calls:
17.0ms
(- (* f f) (* n n))
1.0ms
(fma f f (* -2 (* f n)))
1.0ms
(fma n n (fma f f (* -2 (* f n))))
60.0ms
(/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))

series473.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- (* f f) (* n n))
100.0ms
(fma f f (* -2 (* f n)))
70.0ms
(fma n n (fma f f (* -2 (* f n))))
229.0ms
(/ (- (- (* f f) (* n n))) (fma n n (fma f f (* -2 (* f n)))))

simplify5.0s

Counts
118 → 118
Iterations
IterNodes
done5000
34140
2894
1385
0171

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes260.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done17
217
116
09

end0.0ms

sample844.0ms

Algorithm
intervals
Results
577.0ms8000×body80valid