Details

Time bar (total: 16.2s)

sample19.0ms

Algorithm
intervals
Results
9.0ms456×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2126
3216
4476
51136
63026
79946
837626
done50006

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×add-exp-log associate-*r* associate-*l*
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 28
Calls
2 calls:
4.0ms
(* x (exp (* y y)))
1.0ms
(exp (* y y))

series37.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (exp (* y y)))
10.0ms
(exp (* y y))

simplify2.8s

Counts
34 → 34
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
044245
188237
2190208
3430208
41370208
54397208
done5000208

prune69.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down associate-*r*
6×add-exp-log
4×pow-pow add-cbrt-cube
3×pow1 pow-unpow exp-prod associate-*l* prod-exp unswap-sqr sqr-pow
2×pow-to-exp pow-exp add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 45
Calls
2 calls:
6.0ms
(* x (pow (exp y) y))
2.0ms
(pow (exp y) y)

series84.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (pow (exp y) y))
31.0ms
(pow (exp y) y)

simplify2.6s

Counts
51 → 51
Iterations

Useful iterations: 4 (712.0ms)

IterNodesCost
072400
1148370
2328347
3942347
44119346
done5000346

prune117.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
0.0b
(sqrt (exp y))
0.0b
(sqrt (exp y))
0.0b
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
44×unpow-prod-down
39×add-exp-log
28×prod-exp sqrt-prod
21×add-cube-cbrt *-un-lft-identity
17×unswap-sqr
13×associate-*l*
12×pow-to-exp swap-sqr pow-exp sqr-pow
11×associate-*r* add-cbrt-cube
8×pow1 sqrt-pow1
6×exp-prod
4×cbrt-unprod add-log-exp
2×rem-sqrt-square pow1/2 pow-prod-down *-commutative
1×pow2 pow-sqr pow-prod-up
Counts
4 → 128
Calls
4 calls:
16.0ms
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
1.0ms
(sqrt (exp y))
1.0ms
(sqrt (exp y))
16.0ms
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y))
12.0ms
(sqrt (exp y))
12.0ms
(sqrt (exp y))
80.0ms
(* x (* (pow (sqrt (exp y)) y) (pow (sqrt (exp y)) y)))

simplify4.2s

Counts
140 → 140
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01251986
12501469
28461357
346911186
done50001186

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
0.0b
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
0.0b
(sqrt (sqrt (exp y)))
0.0b
(sqrt (sqrt (exp y)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
75×add-exp-log
68×add-sqr-sqrt
60×prod-exp
42×unpow-prod-down
26×unswap-sqr
24×add-cbrt-cube
20×sqrt-pow1
19×add-cube-cbrt *-un-lft-identity
16×associate-*l*
14×associate-*r* cbrt-unprod
13×pow1
12×sqr-pow
9×pow-to-exp pow-exp
6×exp-prod
4×rem-sqrt-square pow1/2 add-log-exp
3×pow-prod-down
2×swap-sqr *-commutative
Counts
4 → 146
Calls
4 calls:
22.0ms
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
129.0ms
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
2.0ms
(sqrt (sqrt (exp y)))
2.0ms
(sqrt (sqrt (exp y)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))
163.0ms
(* x (* (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y))) (* (pow (sqrt (sqrt (exp y))) y) (sqrt (pow (sqrt (exp y)) y)))))
75.0ms
(sqrt (sqrt (exp y)))
81.0ms
(sqrt (sqrt (exp y)))

simplify593.0ms

Counts
158 → 158
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
01873334
14232501
213212230
done50012230

prune380.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes38.0ms

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
01129
11329
done1329

end0.0ms

sample572.0ms

Algorithm
intervals
Results
316.0ms15933×body80valid