Details

Time bar (total: 14.7s)

sample19.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05122
111122
214122
316122
done16122

prune5.0ms

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))

rewrite24.0ms

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×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
23.0ms
(/ (- x y) (+ x y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (- x y) (+ x y))

simplify2.2s

Counts
49 → 49
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
07812249
119311310
256411190
3248711190
done503211190

prune173.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

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)))

rewrite122.0ms

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-cbrt-cube add-exp-log 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 clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
12.0ms
(/ y (+ x y))
13.0ms
(/ x (+ x y))
95.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ x y))
60.0ms
(/ x (+ x y))
85.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify2.3s

Counts
103 → 103
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
013021987
128719961
291319761
3377919761
done501719761

prune430.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
317×*-un-lft-identity
188×times-frac
167×add-sqr-sqrt
85×add-cube-cbrt
56×distribute-lft-out
48×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
26×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
15×associate-/l*
14×associate-/r/
12×associate-/r*
11×pow1
7×cbrt-undiv flip3-+ div-exp flip-+ div-inv
6×associate-/l/
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-- div-sub flip--
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 266
Calls
4 calls:
78.0ms
(* (/ (- x y) (+ x y)) (/ (- x y) (+ x y)))
39.0ms
(/ (- x y) (+ x y))
33.0ms
(/ (- x y) (+ x y))
36.0ms
(/ (- x y) (+ x y))

series473.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (/ (- x y) (+ x y)) (/ (- x y) (+ x y)))
120.0ms
(/ (- x y) (+ x y))
121.0ms
(/ (- x y) (+ x y))
123.0ms
(/ (- x y) (+ x y))

simplify2.4s

Counts
278 → 278
Iterations

Useful iterations: done (2.3s)

IterNodesCost
016377298
159070425
2205968900
done500168420

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
10×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
2×cbrt-div
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 47
Calls
4 calls:
3.0ms
(cbrt (+ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt (+ x y))
302.0ms
(cbrt x)
291.0ms
(cbrt x)
243.0ms
(cbrt x)

simplify2.4s

Counts
59 → 59
Iterations

Useful iterations: 4 (988.0ms)

IterNodesCost
06913903
114511554
235911437
389610797
4265510757
done500210757

prune384.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes150.0ms

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
08282
110282
done10282

end0.0ms

sample923.0ms

Algorithm
intervals
Results
698.0ms8000×body80valid