Details

Time bar (total: 28.1s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
111122
214122
316122
done16122

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 48
Calls
1 calls:
24.0ms
(/ (- x y) (+ x y))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (- x y) (+ x y))

simplify4.0s

Counts
51 → 51
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
08012653
119811689
257911544
3258111544
done502811544

prune200.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)))

rewrite192.0ms

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-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
10.0ms
(/ y (+ x y))
10.0ms
(/ x (+ x y))
133.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(/ y (+ x y))
52.0ms
(/ x (+ x y))
119.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify3.9s

Counts
451 → 451
Iterations

Useful iterations: done (3.8s)

IterNodesCost
0422312244
1973266438
22467230993
done5016202035

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x y) y)
0.0b
(/ x (+ x y))
0.0b
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
0.2b
(/ 1 (/ (+ x y) y))

rewrite673.0ms

Algorithm
rewrite-expression-head
Rules
2301×times-frac
1945×*-un-lft-identity
1274×add-sqr-sqrt
1241×add-cube-cbrt
954×prod-diff
345×distribute-lft-out
134×div-inv
129×associate-/r/
56×flip3-+ flip-+
23×associate-/r*
19×add-exp-log
18×fma-neg
13×add-cbrt-cube
10×associate-/l* difference-of-squares
9×div-exp
6×add-log-exp
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u distribute-lft-out--
3×clear-num frac-2neg
2×rec-exp 1-exp associate-/l/
1×sub-neg flip3-- diff-log frac-sub pow-flip flip-- inv-pow
Counts
4 → 1161
Calls
4 calls:
21.0ms
(/ (+ x y) y)
9.0ms
(/ x (+ x y))
469.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
13.0ms
(/ 1 (/ (+ x y) y))

series292.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (+ x y) y)
67.0ms
(/ x (+ x y))
105.0ms
(- (/ x (+ x y)) (/ 1 (/ (+ x y) y)))
87.0ms
(/ 1 (/ (+ x y) y))

simplify5.5s

Counts
1173 → 1173
Iterations

Useful iterations: 2 (3.9s)

IterNodesCost
010611065082
12486815221
24913721111
done5000721111

prune5.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(/ y (+ x y))
0.1b
(* (/ x (+ x y)) (/ x (+ x y)))
0.2b
(* (/ y (+ x y)) (/ y (+ x y)))

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
194×*-un-lft-identity
152×times-frac
118×add-sqr-sqrt
94×add-cube-cbrt
48×swap-sqr
44×distribute-lft-out
36×associate-*r* associate-*l*
32×add-cbrt-cube add-exp-log
20×associate-/r/
18×pow1
10×cbrt-undiv flip3-+ div-exp flip-+ div-inv
8×associate-/r* prod-exp cbrt-unprod unswap-sqr
6×associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow2 frac-times clear-num frac-2neg pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 250
Calls
4 calls:
17.0ms
(/ y (+ x y))
17.0ms
(/ y (+ x y))
61.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
54.0ms
(* (/ y (+ x y)) (/ y (+ x y)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(/ y (+ x y))
62.0ms
(/ y (+ x y))
87.0ms
(* (/ x (+ x y)) (/ x (+ x y)))
106.0ms
(* (/ y (+ x y)) (/ y (+ x y)))

simplify3.2s

Counts
262 → 262
Iterations

Useful iterations: done (3.1s)

IterNodesCost
023462106
183255236
2311152920
done504151960

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08203
111203
done11203

end0.0ms

sample485.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid