Details

Time bar (total: 4.1s)

sample13.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1143
2163
3163
done163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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:
24.0ms
(/ (- x y) (+ x y))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(/ (- x y) (+ x y))

simplify60.0ms

Counts
51 → 51
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0192297
1547283
21899283
35001280
done5001280

prune94.0ms

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)))

rewrite163.0ms

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:
11.0ms
(/ y (+ x y))
12.0ms
(/ x (+ x y))
103.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ y (+ x y))
44.0ms
(/ x (+ x y))
91.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify144.0ms

Counts
451 → 451
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
092710910
126007864
250016854
done50016854

prune507.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
8.1b
(cbrt (/ y (+ x y)))
8.1b
(cbrt (/ y (+ x y)))
8.1b
(cbrt (/ y (+ x y)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 188
Calls
4 calls:
62.0ms
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
6.0ms
(cbrt (/ y (+ x y)))
6.0ms
(cbrt (/ y (+ x y)))
6.0ms
(cbrt (/ y (+ x y)))

series626.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(* (cbrt (/ y (+ x y))) (cbrt (/ y (+ x y))))
156.0ms
(cbrt (/ y (+ x y)))
148.0ms
(cbrt (/ y (+ x y)))
149.0ms
(cbrt (/ y (+ x y)))

simplify90.0ms

Counts
200 → 200
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
02691752
18671700
231771620
350021615
done50021615

prune566.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (sqrt x) (sqrt y))
0.0b
(/ (- (sqrt x) (sqrt y)) (+ x y))
0.1b
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
117×*-un-lft-identity
112×add-sqr-sqrt
73×times-frac
61×sqrt-prod
42×associate-*r*
36×difference-of-squares
35×add-cube-cbrt
23×distribute-lft-out
18×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×fma-def
5×pow1 flip3-+ associate-*l* flip-+ add-log-exp
4×associate-/r* associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip--
Counts
3 → 158
Calls
3 calls:
11.0ms
(+ (sqrt x) (sqrt y))
42.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))
96.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))

series452.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (sqrt x) (sqrt y))
117.0ms
(/ (- (sqrt x) (sqrt y)) (+ x y))
283.0ms
(* (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (+ x y)))

simplify87.0ms

Counts
167 → 167
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
05341606
125121431
250011390
done50011390

prune327.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075
175
done75

end0.0ms

sample307.0ms

Algorithm
intervals
Results
144.0ms8000×body80valid