Details

Time bar (total: 10.3s)

sample21.0ms

Algorithm
intervals
Results
11.0ms497×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4486
51216
63406
713286
done50016

prune2.0ms

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

series29.0ms

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

simplify3.6s

Counts
23 → 23
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
037188
177184
2243159
3835159
43718159
done5000159

prune51.0ms

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

series117.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(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))))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: 3 (380.0ms)

IterNodesCost
080962
1176743
2648669
32175666
done5000666

prune218.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

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))))))

rewrite31.0ms

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×expm1-log1p-u associate-*l* sqrt-prod log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
1.0ms
(cbrt (exp (* y y)))
6.0ms
(* x (sqrt (exp (* y y))))
22.0ms
(* (* x (sqrt (exp (* y y)))) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (exp (* y y)))
109.0ms
(cbrt (exp (* y y)))
47.0ms
(* x (sqrt (exp (* y y))))
108.0ms
(* (* x (sqrt (exp (* y y)))) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))

simplify553.0ms

Counts
86 → 86
Iterations

Useful iterations: done (551.0ms)

IterNodesCost
01041311
12401193
210101008
done50001002

prune241.0ms

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
15×add-sqr-sqrt
14×pow1 add-exp-log associate-*l*
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×cube-mult unpow-prod-down pow-unpow unpow3 cube-prod sqr-pow
2×pow-pow pow-exp *-commutative rem-cube-cbrt unswap-sqr
1×pow-to-exp pow1/3 rem-cbrt-cube
Counts
4 → 95
Calls
4 calls:
4.0ms
(pow (* x (sqrt (exp (* y y)))) 3)
16.0ms
(* (cbrt (pow (* x (sqrt (exp (* y y)))) 3)) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
6.0ms
(* x (sqrt (exp (* y y))))
2.0ms
(cbrt (pow (* x (sqrt (exp (* y y)))) 3))

series295.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(pow (* x (sqrt (exp (* y y)))) 3)
119.0ms
(* (cbrt (pow (* x (sqrt (exp (* y y)))) 3)) (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
42.0ms
(* x (sqrt (exp (* y y))))
53.0ms
(cbrt (pow (* x (sqrt (exp (* y y)))) 3))

simplify584.0ms

Counts
107 → 107
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
01431712
13271400
213621323
done50011323

prune346.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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

sample521.0ms

Algorithm
intervals
Results
284.0ms15832×body80valid