Details

Time bar (total: 13.8s)

sample36.0ms

Algorithm
intervals
Results
17.0ms497×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

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:
5.0ms
(* x (exp (* y y)))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(* x (exp (* y y)))

simplify3.3s

Counts
21 → 21
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
035174
175170
2234147
3835147
43704147
done5000147

prune50.0ms

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))))

rewrite28.0ms

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))))

series118.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (exp (* y y)))
21.0ms
(sqrt (exp (* y y)))
41.0ms
(* x (sqrt (exp (* y y))))
32.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: 3 (376.0ms)

IterNodesCost
074894
1168693
2656619
32200616
done5001616

prune175.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×pow1
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log
9×associate-*l*
8×pow1/3
7×associate-*r* add-cbrt-cube
6×swap-sqr
5×pow-prod-down unswap-sqr
4×prod-exp cbrt-unprod add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (exp (* y y)))
1.0ms
(cbrt (exp (* y y)))
12.0ms
(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
7.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(cbrt (exp (* y y)))
104.0ms
(cbrt (exp (* y y)))
92.0ms
(* x (* (cbrt (exp (* y y))) (cbrt (exp (* y y)))))
132.0ms
(* (cbrt (exp (* y y))) (cbrt (exp (* y y))))

simplify2.1s

Counts
93 → 93
Iterations

Useful iterations: 3 (385.0ms)

IterNodesCost
0871198
11811101
2630981
32862860
done5001860

prune245.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
8×pow1 cbrt-prod add-cbrt-cube
7×add-cube-cbrt *-un-lft-identity
6×add-exp-log
3×pow-unpow associate-*r* associate-*l* add-log-exp
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×pow-to-exp pow1/3 *-commutative rem-cbrt-cube unswap-sqr
Counts
3 → 57
Calls
3 calls:
13.0ms
(* x (exp (pow y 2)))
10.0ms
(pow (* x (exp (pow y 2))) 3)
1.0ms
(cbrt (pow (* x (exp (pow y 2))) 3))

series130.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* x (exp (pow y 2)))
56.0ms
(pow (* x (exp (pow y 2))) 3)
41.0ms
(cbrt (pow (* x (exp (pow y 2))) 3))

simplify3.2s

Counts
66 → 66
Iterations

Useful iterations: 3 (406.0ms)

IterNodesCost
075687
1167551
2670515
34325513
done5000513

prune140.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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

sample516.0ms

Algorithm
intervals
Results
282.0ms15832×body80valid