Details

Time bar (total: 14.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms497×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4476
51136
63036
711036
846376
done50006

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (exp (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×add-exp-log
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
5.0ms
(* x (exp (* y y)))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(* x (exp (* y y)))

simplify2.5s

Counts
21 → 21
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
035174
174170
2205147
3664147
43286147
done5001147

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp (* y y)))
0.0b
(sqrt (exp (* y y)))
0.0b
(* x (sqrt (exp (* y y))))
0.0b
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×sqrt-pow1 add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
1.0ms
(sqrt (exp (* y y)))
1.0ms
(sqrt (exp (* y y)))
6.0ms
(* x (sqrt (exp (* y y))))
17.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (exp (* y y)))
21.0ms
(sqrt (exp (* y y)))
45.0ms
(* x (sqrt (exp (* y y))))
30.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify1.2s

Counts
85 → 85
Iterations

Useful iterations: 3 (325.0ms)

IterNodesCost
074894
1163689
2532619
31901616
done5001616

prune168.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))
0.0b
(* x (sqrt (exp (* y y))))
0.0b
(* (* x (sqrt (exp (* y y)))) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
13×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
6×cbrt-prod
4×associate-*l* sqrt-prod add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
1.0ms
(cbrt (exp (* y y)))
6.0ms
(* x (sqrt (exp (* y y))))
23.0ms
(* (* x (sqrt (exp (* y y)))) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))

series370.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(cbrt (exp (* y y)))
107.0ms
(cbrt (exp (* y y)))
45.0ms
(* x (sqrt (exp (* y y))))
107.0ms
(* (* x (sqrt (exp (* y y)))) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))

simplify3.1s

Counts
78 → 78
Iterations

Useful iterations: 3 (773.0ms)

IterNodesCost
0981227
12281111
2821928
34711920
done5000920

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (* y y)))
0.0b
(* x (sqrt (exp (pow y 2))))
0.0b
(* (cbrt (pow (* x (sqrt (exp (pow y 2)))) 3)) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
38.0b
(cbrt (pow (* x (sqrt (exp (pow y 2)))) 3))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
15×add-sqr-sqrt
14×associate-*l*
11×pow1 add-exp-log add-cube-cbrt *-un-lft-identity
9×add-cbrt-cube
7×associate-*r*
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod add-log-exp
2×cube-mult unpow-prod-down pow1/3 unpow3 cube-prod *-commutative unswap-sqr sqr-pow
1×rem-cbrt-cube
Counts
4 → 76
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
15.0ms
(* x (sqrt (exp (pow y 2))))
16.0ms
(* (cbrt (pow (* x (sqrt (exp (pow y 2)))) 3)) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
2.0ms
(cbrt (pow (* x (sqrt (exp (pow y 2)))) 3))

series319.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(cbrt (exp (* y y)))
42.0ms
(* x (sqrt (exp (pow y 2))))
123.0ms
(* (cbrt (pow (* x (sqrt (exp (pow y 2)))) 3)) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
50.0ms
(cbrt (pow (* x (sqrt (exp (pow y 2)))) 3))

simplify442.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
01351458
12851209
29621125
done50001125

prune545.0ms

Pruning

3 alts after pruning (0 fresh and 3 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
056
166
done66

end0.0ms

sample523.0ms

Algorithm
intervals
Results
295.0ms15832×body80valid