Details

Time bar (total: 15.5s)

sample18.0ms

Algorithm
intervals
Results
9.0ms497×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4476
51136
63026
79946
837596
done50006

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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:
4.0ms
(* x (exp (* y y)))

series29.0ms

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

simplify2.4s

Counts
21 → 21
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
035174
174170
2155147
3313147
4948147
53281147
done5001147

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))))

rewrite26.0ms

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))))
16.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (exp (* y y)))
20.0ms
(sqrt (exp (* y y)))
44.0ms
(* x (sqrt (exp (* y y))))
30.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: 3 (292.0ms)

IterNodesCost
074894
1163689
2463619
31064616
42857616
done5000616

prune179.0ms

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×pow1 add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
9×associate-*r*
6×cbrt-prod
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 62
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
1.0ms
(cbrt (exp (* y y)))
13.0ms
(* (* x (sqrt (exp (* y y)))) (fabs (cbrt (exp (* y y)))))
6.0ms
(* x (sqrt (exp (* y y))))

series316.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(cbrt (exp (* y y)))
105.0ms
(cbrt (exp (* y y)))
52.0ms
(* (* x (sqrt (exp (* y y)))) (fabs (cbrt (exp (* y y)))))
44.0ms
(* x (sqrt (exp (* y y))))

simplify2.1s

Counts
74 → 74
Iterations

Useful iterations: 3 (542.0ms)

IterNodesCost
088886
1184829
2574718
32082710
done5000710

prune212.0ms

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod add-sqr-sqrt
14×associate-*l*
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×pow1 add-exp-log
7×add-cbrt-cube
5×unswap-sqr
4×sqrt-prod add-log-exp
3×sqr-pow
2×cube-mult unpow-prod-down pow1/3 unpow3 cube-prod pow-prod-down prod-exp *-commutative cbrt-unprod
1×rem-cbrt-cube
Counts
4 → 78
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
8.0ms
(* (cbrt (pow (* x (sqrt (exp (pow y 2)))) 3)) (fabs (cbrt (exp (* y y)))))
14.0ms
(* x (sqrt (exp (pow y 2))))
1.0ms
(cbrt (pow (* x (sqrt (exp (pow y 2)))) 3))

series264.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (exp (* y y)))
67.0ms
(* (cbrt (pow (* x (sqrt (exp (pow y 2)))) 3)) (fabs (cbrt (exp (* y y)))))
40.0ms
(* x (sqrt (exp (pow y 2))))
50.0ms
(cbrt (pow (* x (sqrt (exp (pow y 2)))) 3))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: 3 (570.0ms)

IterNodesCost
01261315
12391080
26511028
324881024
done50001024

prune339.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

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

sample545.0ms

Algorithm
intervals
Results
306.0ms15832×body80valid