Details

Time bar (total: 13.0s)

sample20.0ms

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
846436
done50016

prune2.0ms

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×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 20
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
23 → 23
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
037188
176184
2214159
3672159
43318159
done5001159

prune59.0ms

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))))

rewrite31.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 81
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))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(sqrt (exp (* y y)))
24.0ms
(sqrt (exp (* y y)))
41.0ms
(* x (sqrt (exp (* y y))))
29.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: 3 (334.0ms)

IterNodesCost
080962
1171739
2545669
31982666
done5000666

prune223.0ms

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))))

rewrite24.0ms

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×expm1-log1p-u associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
1.0ms
(cbrt (exp (* y y)))
14.0ms
(* (* x (sqrt (exp (* y y)))) (fabs (cbrt (exp (* y y)))))
6.0ms
(* x (sqrt (exp (* y y))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(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))))

simplify2.0s

Counts
82 → 82
Iterations

Useful iterations: 3 (484.0ms)

IterNodesCost
094956
1192895
2654784
33043776
done5000776

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×cbrt-prod
14×associate-*l*
12×add-cube-cbrt *-un-lft-identity
11×pow1 add-exp-log
10×add-cbrt-cube
9×associate-*r*
5×unswap-sqr
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp sqr-pow
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod pow-prod-down prod-exp cbrt-unprod
2×pow-pow pow-exp *-commutative rem-cube-cbrt
1×pow-to-exp pow1/3 rem-cbrt-cube
Counts
4 → 97
Calls
4 calls:
4.0ms
(pow (* x (sqrt (exp (* y y)))) 3)
9.0ms
(* (cbrt (pow (* x (sqrt (exp (* y y)))) 3)) (fabs (cbrt (exp (* y y)))))
6.0ms
(* x (sqrt (exp (* y y))))
2.0ms
(cbrt (pow (* x (sqrt (exp (* y y)))) 3))

series228.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(pow (* x (sqrt (exp (* y y)))) 3)
65.0ms
(* (cbrt (pow (* x (sqrt (exp (* y y)))) 3)) (fabs (cbrt (exp (* y y)))))
40.0ms
(* x (sqrt (exp (* y y))))
51.0ms
(cbrt (pow (* x (sqrt (exp (* y y)))) 3))

simplify500.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
01371563
12671265
29671222
done50011222

prune342.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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

sample552.0ms

Algorithm
intervals
Results
308.0ms15832×body80valid