Details

Time bar (total: 2.5s)

sample332.0ms

Algorithm
intervals
Results
6.0ms336×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)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
46.0ms
(* (+ x y) z)

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (+ x y) z)

simplify41.0ms

Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372
done500372

prune42.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
12×associate-*r*
11×add-sqr-sqrt
9×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×add-cube-cbrt sqrt-prod
6×associate-*l/
5×associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-+ *-commutative flip-+ add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 48
Calls
2 calls:
22.0ms
(* (+ x y) (sqrt z))
41.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series83.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (+ x y) (sqrt z))
34.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify73.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0208281
1930233
23969226
35002226
done5002226

prune81.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×associate-*r*
23×add-sqr-sqrt
22×pow1
20×add-exp-log add-cbrt-cube
17×*-un-lft-identity
15×add-cube-cbrt
12×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
6×associate-*l*
4×sqrt-pow1 add-log-exp
3×flip3-+ *-commutative flip-+ unswap-sqr
2×rem-sqrt-square pow1/2
1×distribute-lft-out
Counts
4 → 100
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
27.0ms
(* (+ x y) (sqrt (sqrt z)))
50.0ms
(* (* (+ x y) (sqrt (sqrt z))) (sqrt (sqrt z)))
166.0ms
(* (* (* (+ x y) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))

series298.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(sqrt (sqrt z))
84.0ms
(* (+ x y) (sqrt (sqrt z)))
47.0ms
(* (* (+ x y) (sqrt (sqrt z))) (sqrt (sqrt z)))
34.0ms
(* (* (* (+ x y) (sqrt (sqrt z))) (sqrt (sqrt z))) (sqrt z))

simplify54.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0402748
11948595
25001553
done5001553

prune197.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) z)
0.3b
(pow (* (+ x y) z) 3)
31.8b
(cbrt (pow (* (+ x y) z) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×pow1 add-exp-log cbrt-prod add-cbrt-cube
7×add-cube-cbrt
6×associate-*l/
4×cube-div associate-*l*
3×pow-unpow flip3-+ associate-*r* flip-+ add-log-exp
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
3 → 64
Calls
3 calls:
19.0ms
(* (+ x y) z)
10.0ms
(pow (* (+ x y) z) 3)
6.0ms
(cbrt (pow (* (+ x y) z) 3))

series86.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (+ x y) z)
41.0ms
(pow (* (+ x y) z) 3)
23.0ms
(cbrt (pow (* (+ x y) z) 3))

simplify41.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0252304
11253290
25002284
done5002284

prune139.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes92.0ms

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

sample436.0ms

Algorithm
intervals
Results
160.0ms10109×body80valid