Details

Time bar (total: 14.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms337×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2117
done117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
11.6b
(/ x (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-cube-cbrt times-frac add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv distribute-lft-out--
Counts
2 → 36
Calls
2 calls:
9.0ms
(- (/ x (* y y)) 3.0)
3.0ms
(/ x (* y y))

series60.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ x (* y y)) 3.0)
26.0ms
(/ x (* y y))

simplify2.3s

Counts
42 → 42
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
071394
1155378
2412336
31386336
done5000336

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.1b
(/ (/ x y) y)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
13×associate-/l*
7×add-exp-log add-cbrt-cube
5×div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/r* difference-of-squares
2×pow1
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l/ distribute-lft-out--
Counts
2 → 86
Calls
2 calls:
32.0ms
(- (/ (/ x y) y) 3.0)
6.0ms
(/ (/ x y) y)

series63.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- (/ (/ x y) y) 3.0)
27.0ms
(/ (/ x y) y)

simplify3.7s

Counts
92 → 92
Iterations

Useful iterations: 3 (787.0ms)

IterNodesCost
01701099
13761037
2885965
32571949
done5000949

prune167.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
8.8b
(cbrt (/ x y))
8.8b
(cbrt (/ x y))
8.8b
(cbrt (/ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube 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 → 144
Calls
4 calls:
17.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series285.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
66.0ms
(cbrt (/ x y))
66.0ms
(cbrt (/ x y))
63.0ms
(cbrt (/ x y))

simplify2.4s

Counts
156 → 156
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01611876
12591751
26811675
318461601
436641520
done50001520

prune390.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube 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 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series740.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt y) (cbrt y))
185.0ms
(cbrt y)
178.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify3.5s

Counts
85 → 85
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
061524
1115465
2319397
31162379
43669374
done5000374

prune175.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample367.0ms

Algorithm
intervals
Results
205.0ms10677×body80valid