Details

Time bar (total: 2.3s)

sample328.0ms

Algorithm
intervals
Results
6.0ms326×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
072
1152
2152
done152

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
49.0ms
(* (+ x y) z)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (+ x y) z)

simplify40.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372
done500372

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ x y) (sqrt z))
0.2b
(* (* (+ x y) (sqrt z)) (sqrt z))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sqrt-prod
associate-*l/
associate-*l*
pow-prod-down prod-exp cbrt-unprod
flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
distribute-lft-out
Counts
2 → 48
Calls
2 calls:
25.0ms
(* (+ x y) (sqrt z))
39.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series86.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (+ x y) (sqrt z))
35.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify75.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0208281
1930233
23969226
35002226
done5002226

prune81.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (* x x) (* y y))
9.1b
(* (- (* x x) (* y y)) z)
18.8b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 times-frac associate-/r* add-log-exp
flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
associate-*r*
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
8.0ms
(- (* x x) (* y y))
25.0ms
(* (- (* x x) (* y y)) z)
26.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (* x x) (* y y))
45.0ms
(* (- (* x x) (* y y)) z)
58.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify43.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0302480
11573406
25001397
done5001397

prune122.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) z)
2.7b
(- (* x x) (* y y))
27.7b
(/ (- (* x x) (* y y)) (/ (- x y) z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
166×times-frac
116×add-sqr-sqrt *-un-lft-identity
78×add-cube-cbrt
40×difference-of-squares
22×associate-/r*
19×distribute-lft-out--
10×add-exp-log add-cbrt-cube
associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 flip3-- flip--
frac-2neg div-sub clear-num
sub-neg diff-log associate-/r/
Counts
3 → 168
Calls
3 calls:
14.0ms
(/ (- x y) z)
7.0ms
(- (* x x) (* y y))
31.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

series120.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ (- x y) z)
33.0ms
(- (* x x) (* y y))
59.0ms
(/ (- (* x x) (* y y)) (/ (- x y) z))

simplify88.0ms

Counts
177 → 177
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07631760
137831629
250031604
done50031604

prune336.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes76.0ms

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
072
172
done72

end0.0ms

sample414.0ms

Algorithm
intervals
Results
149.0ms10118×body80valid