Details

Time bar (total: 13.3s)

sample16.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
1116
2226
3406
4846
51946
64756
712916
done50016

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* (* x y) y))
0.2b
(* (* x y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×exp-prod exp-to-pow associate-*l* *-commutative rem-exp-log
Counts
2 → 28
Calls
2 calls:
2.0ms
(exp (* (* x y) y))
7.0ms
(* (* x y) y)

series74.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(exp (* (* x y) y))
39.0ms
(* (* x y) y)

simplify2.9s

Counts
34 → 34
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
053260
1130252
2486211
32018211
done5000211

prune65.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* x (pow y 2)))
7.9b
(* x (pow y 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×pow-to-exp exp-prod exp-to-pow pow-exp *-commutative cbrt-unprod rem-exp-log
Counts
2 → 37
Calls
2 calls:
2.0ms
(exp (* x (pow y 2)))
6.0ms
(* x (pow y 2))

series75.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(exp (* x (pow y 2)))
35.0ms
(* x (pow y 2))

simplify3.5s

Counts
43 → 43
Iterations

Useful iterations: 4 (1.5s)

IterNodesCost
067333
1137307
2367263
3984263
44649258
done5000258

prune95.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (exp (* x (pow y 2))) 3))
0.0b
(pow (exp (* x (pow y 2))) 3)
0.0b
(exp (* x (pow y 2)))
7.9b
(* x (pow y 2))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×cbrt-prod
10×unpow-prod-down
9×add-exp-log
8×associate-*r*
7×add-cbrt-cube add-log-exp
6×cube-prod
5×pow1
4×unswap-sqr sqr-pow
3×pow-unpow pow-pow associate-*l* prod-exp
2×cube-mult pow-to-exp exp-prod exp-to-pow unpow3 pow-exp unpow2
1×pow1/3 *-commutative rem-cbrt-cube cbrt-unprod rem-exp-log rem-cube-cbrt
Counts
4 → 83
Calls
4 calls:
2.0ms
(cbrt (pow (exp (* x (pow y 2))) 3))
3.0ms
(pow (exp (* x (pow y 2))) 3)
1.0ms
(exp (* x (pow y 2)))
6.0ms
(* x (pow y 2))

series171.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (pow (exp (* x (pow y 2))) 3))
58.0ms
(pow (exp (* x (pow y 2))) 3)
35.0ms
(exp (* x (pow y 2)))
38.0ms
(* x (pow y 2))

simplify2.6s

Counts
95 → 95
Iterations

Useful iterations: 3 (911.0ms)

IterNodesCost
01121048
1232850
2674762
33547760
done5000760

prune228.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (* x (pow y 2))) 3)
0.0b
(pow (pow (exp (* x (pow y 2))) 3) 1/3)
0.0b
(exp (* x (pow y 2)))
7.9b
(* x (pow y 2))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
22×unpow-prod-down
20×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×associate-*r*
7×add-cbrt-cube add-log-exp
6×pow-unpow cube-prod pow-exp
5×pow1 sqr-pow
4×pow-to-exp pow-pow unswap-sqr
3×associate-*l* prod-exp
2×cube-mult exp-prod exp-to-pow unpow3 unpow2
1×unpow1/3 *-commutative cbrt-unprod rem-exp-log rem-cube-cbrt
Counts
4 → 91
Calls
4 calls:
3.0ms
(pow (exp (* x (pow y 2))) 3)
4.0ms
(pow (pow (exp (* x (pow y 2))) 3) 1/3)
2.0ms
(exp (* x (pow y 2)))
6.0ms
(* x (pow y 2))

series267.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(pow (exp (* x (pow y 2))) 3)
137.0ms
(pow (pow (exp (* x (pow y 2))) 3) 1/3)
37.0ms
(exp (* x (pow y 2)))
34.0ms
(* x (pow y 2))

simplify715.0ms

Counts
103 → 103
Iterations

Useful iterations: done (712.0ms)

IterNodesCost
01291194
1299920
2919829
done5000827

prune236.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes32.0ms

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
01010
11110
done1110

end0.0ms

sample370.0ms

Algorithm
intervals
Results
208.0ms10667×body80valid