Details

Time bar (total: 14.5s)

sample119.0ms

Algorithm
intervals
Results
64.0ms320×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite26.0ms

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×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
24.0ms
(* (+ x y) z)

series43.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(* (+ x y) z)

simplify4.5s

Counts
26 → 26
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune61.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.0b
(sqrt (+ x y))
0.1b
(* (sqrt (+ x y)) z)
0.1b
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×sqrt-div
17×sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 97
Calls
4 calls:
16.0ms
(sqrt (+ x y))
15.0ms
(sqrt (+ x y))
35.0ms
(* (sqrt (+ x y)) z)
72.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series260.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(sqrt (+ x y))
42.0ms
(sqrt (+ x y))
85.0ms
(* (sqrt (+ x y)) z)
75.0ms
(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify2.7s

Counts
109 → 109
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01351237
1334991
2881895
32344867
done5001858

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))

rewrite100.0ms

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×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u add-log-exp unswap-sqr
1×distribute-lft-out
Counts
2 → 52
Calls
2 calls:
28.0ms
(* (+ x y) (sqrt z))
68.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

series137.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (+ x y) (sqrt z))
56.0ms
(* (* (+ x y) (sqrt z)) (sqrt z))

simplify1.9s

Counts
58 → 58
Iterations

Useful iterations: 3 (977.0ms)

IterNodesCost
085613
1216486
2704426
32326419
done5001419

prune128.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
32×sqrt-prod
24×associate-*r*
22×pow1
21×add-sqr-sqrt
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×expm1-log1p-u sqrt-pow1 log1p-expm1-u add-log-exp
3×flip3-+ *-commutative flip-+
2×rem-sqrt-square pow1/2 unswap-sqr
1×distribute-lft-out
Counts
4 → 107
Calls
4 calls:
2.0ms
(sqrt (sqrt z))
24.0ms
(* (+ x y) (sqrt z))
218.0ms
(* (* (* (+ x y) (sqrt z)) (sqrt (sqrt z))) (sqrt (sqrt z)))
60.0ms
(* (* (+ x y) (sqrt z)) (sqrt (sqrt z)))

series469.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(sqrt (sqrt z))
65.0ms
(* (+ x y) (sqrt z))
48.0ms
(* (* (* (+ x y) (sqrt z)) (sqrt (sqrt z))) (sqrt (sqrt z)))
176.0ms
(* (* (+ x y) (sqrt z)) (sqrt (sqrt z)))

simplify2.2s

Counts
119 → 119
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01661470
14331197
21434942
done5000933

prune299.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes130.0ms

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
055
175
done75

end0.0ms

sample585.0ms

Algorithm
intervals
Results
213.0ms10097×body80valid