Details

Time bar (total: 9.8s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune3.0ms

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))

rewrite31.0ms

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 flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
29.0ms
(/ (- x y) (+ x y))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (+ x y))

simplify440.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
078600
1193573
2744545
done5000545

prune121.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
11.0ms
(/ y (+ x y))
12.0ms
(/ x (+ x y))
78.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (+ x y))
58.0ms
(/ x (+ x y))
89.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.4s

Counts
103 → 103
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01301135
12871070
29341028
347021028
done50011028

prune316.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ x (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
3.1b
(log (exp (/ x (+ x y))))

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
37×add-sqr-sqrt times-frac
32×add-cube-cbrt
20×log-pow
18×exp-prod
11×distribute-lft-out
8×add-exp-log associate-/r* add-cbrt-cube
6×pow1 log-prod associate-/r/ associate-/l*
5×add-log-exp
3×flip3-+ associate--l+ flip-+ div-inv
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 115
Calls
4 calls:
12.0ms
(/ y (+ x y))
14.0ms
(/ x (+ x y))
270.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
44.0ms
(log (exp (/ x (+ x y))))

series233.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ y (+ x y))
48.0ms
(/ x (+ x y))
84.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
42.0ms
(log (exp (/ x (+ x y))))

simplify2.1s

Counts
127 → 127
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01651346
13111150
29371106
345531106
done50001106

prune434.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
57.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series729.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
152.0ms
(cbrt (+ x y))
164.0ms
(cbrt (+ x y))
191.0ms
(cbrt (+ x y))

simplify903.0ms

Counts
107 → 107
Iterations

Useful iterations: done (900.0ms)

IterNodesCost
01161266
12781147
210681089
done50011069

prune378.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes103.0ms

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
0813
1913
done913

end0.0ms

sample689.0ms

Algorithm
intervals
Results
376.0ms8000×body80valid