Details

Time bar (total: 12.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (+ x y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
12.0ms
(/ (- x y) (+ x y))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- x y) (+ x y))

simplify2.3s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
080616
1192588
2454560
31326560
43982553
done5000553

prune97.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ y (+ x y)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
5.0ms
(/ y (+ x y))
5.0ms
(/ x (+ x y))
64.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series170.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ y (+ x y))
44.0ms
(/ x (+ x y))
84.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify848.0ms

Counts
451 → 451
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
042220371
188017875
2214113495
done500113369

prune637.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
323×*-un-lft-identity
160×times-frac
151×cbrt-prod
121×add-sqr-sqrt
75×distribute-lft-out--
52×cbrt-div distribute-lft-out
34×swap-sqr
29×add-cube-cbrt
28×associate-/r/ difference-of-squares
21×distribute-rgt-out--
20×associate-*r* associate-*l*
16×frac-times
14×flip3-+ flip-+ div-inv
13×flip3-- frac-sub flip-- sub-div
11×pow1
9×pow1/3
6×add-exp-log
4×expm1-log1p-u associate-*r/ associate-*l/ add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 215
Calls
4 calls:
34.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
34.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
272.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
165.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
165.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
122.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))

simplify1.4s

Counts
227 → 227
Iterations

Useful iterations: 3 (619.0ms)

IterNodesCost
02106256
13525823
28835601
324055104
done50005104

prune569.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
0.0b
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (* (* (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
3512×cbrt-div
1376×frac-times
503×flip3-- frac-sub flip-- sub-div
244×associate-*r/
224×associate-*l/
113×*-un-lft-identity
68×cbrt-prod
65×add-sqr-sqrt
64×times-frac
28×distribute-lft-out--
20×associate-*l*
18×add-cube-cbrt
16×associate-/r/ distribute-lft-out difference-of-squares
15×pow1
13×add-exp-log pow1/3
12×distribute-rgt-out--
9×pow-prod-down
8×flip3-+ flip-+ div-inv
6×prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 761
Calls
4 calls:
34.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
31.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
35.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
1.1s
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (* (* (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))))

series644.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
171.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
172.0ms
(cbrt (- (/ x (+ x y)) (/ y (+ x y))))
128.0ms
(* (cbrt (- (/ x (+ x y)) (/ y (+ x y)))) (* (* (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))) (cbrt (cbrt (- (/ x (+ x y)) (/ y (+ x y)))))))

simplify964.0ms

Counts
773 → 773
Iterations

Useful iterations: 1 (572.0ms)

IterNodesCost
0134970122
1296467029
done500067029

prune2.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample278.0ms

Algorithm
intervals
Results
147.0ms8000×body80valid