Details

Time bar (total: 9.1s)

sample14.0ms

Algorithm
intervals
Results
6.0ms328×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: 5.5b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
9.4b
(/ x (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt times-frac add-log-exp
associate-/l*
pow1 cbrt-undiv div-exp difference-of-squares
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))

series59.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (/ x (* y y)) 3.0)
22.0ms
(/ x (* y y))

simplify795.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
071394
1155378
2412336
31384336
done5000336

prune273.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
add-log-exp
cbrt-undiv div-exp associate-/r* difference-of-squares
pow1
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)

series59.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (/ (/ x y) y) 3.0)
25.0ms
(/ (/ x y) y)

simplify1.4s

Counts
92 → 92
Iterations

Useful iterations: 3 (617.0ms)

IterNodesCost
01701099
13761037
2885965
32488949
done5001949

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 1 (* y (/ y x))) 3.0)
0.1b
(* y (/ y x))
0.7b
(/ 1 (* y (/ y x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
20×add-sqr-sqrt
17×add-cbrt-cube
16×*-un-lft-identity
13×add-cube-cbrt times-frac associate-*r*
10×div-exp
pow1 prod-exp
cbrt-undiv add-log-exp
cbrt-unprod
rec-exp 1-exp associate-*l* div-inv associate-/l*
pow-flip associate-*r/ pow-prod-down distribute-lft-out-- unswap-sqr
sub-neg flip3-- frac-2neg diff-log clear-num associate-/r* associate-/r/ *-commutative flip-- inv-pow difference-of-squares
Counts
3 → 80
Calls
3 calls:
13.0ms
(- (/ 1 (* y (/ y x))) 3.0)
7.0ms
(* y (/ y x))
7.0ms
(/ 1 (* y (/ y x)))

series59.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- (/ 1 (* y (/ y x))) 3.0)
18.0ms
(* y (/ y x))
17.0ms
(/ 1 (* y (/ y x)))

simplify2.0s

Counts
89 → 89
Iterations

Useful iterations: done (2.0s)

IterNodesCost
0130856
1311771
2802677
32992601
done5000599

prune131.0ms

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) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series717.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt x) (cbrt x))
179.0ms
(cbrt x)
169.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify2.7s

Counts
85 → 85
Iterations

Useful iterations: 4 (941.0ms)

IterNodesCost
061524
1115417
2327397
31169379
43701374
done5000374

prune181.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample364.0ms

Algorithm
intervals
Results
205.0ms10629×body80valid