Details

Time bar (total: 23.3s)

sample44.0ms

Algorithm
intervals
Results
23.0ms523×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
186
2126
3216
4476
51276
63426
711136
844506
done50006

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)))

rewrite19.0ms

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:
14.0ms
(* x (exp (* y y)))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (exp (* y y)))

simplify3.4s

Counts
21 → 21
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
035174
173170
2152147
3288147
4879147
53214147
done5000147

prune63.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite110.0ms

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:
5.0ms
(sqrt (exp (* y y)))
5.0ms
(sqrt (exp (* y y)))
26.0ms
(* x (sqrt (exp (* y y))))
70.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

series157.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (exp (* y y)))
36.0ms
(sqrt (exp (* y y)))
54.0ms
(* x (sqrt (exp (* y y))))
45.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify2.9s

Counts
85 → 85
Iterations

Useful iterations: done (2.9s)

IterNodesCost
074894
1160689
2432619
3961616
42489616
done5000614

prune185.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
6×cbrt-prod
4×associate-*l* add-log-exp
3×sqrt-prod
2×pow1/3 *-commutative
Counts
4 → 64
Calls
4 calls:
55.0ms
(* x (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
166.0ms
(* (* x (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))))) (sqrt (exp (* y y))))
5.0ms
(cbrt (exp (* y y)))
5.0ms
(cbrt (exp (* y y)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y))))))
159.0ms
(* (* x (* (fabs (cbrt (exp (* y y)))) (sqrt (cbrt (exp (* y y)))))) (sqrt (exp (* y y))))
124.0ms
(cbrt (exp (* y y)))
136.0ms
(cbrt (exp (* y y)))

simplify5.0s

Counts
76 → 76
Iterations

Useful iterations: done (5.0s)

IterNodesCost
0991409
12351295
28631080
342651072
done50001069

prune286.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))
0.0b
(cbrt (exp (* y y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))
2.0ms
(cbrt (exp (* y y)))

series680.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt (exp (* y y)))
186.0ms
(cbrt (exp (* y y)))
164.0ms
(cbrt (exp (* y y)))
156.0ms
(cbrt (exp (* y y)))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: 4 (98.0ms)

IterNodesCost
027488
146484
282444
3140424
4294400
5908400
done5000400

prune274.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
11836
done1836

end0.0ms

sample1.3s

Algorithm
intervals
Results
830.0ms15905×body80valid