Details

Time bar (total: 10.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify38.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2257
3337
4377
5437
done437

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (+ z x)))
0.0b
(* y (+ z x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
10.0ms
(+ x (* y (+ z x)))
30.0ms
(* y (+ z x))

series84.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* y (+ z x)))
38.0ms
(* y (+ z x))

simplify1.7s

Counts
42 → 42
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
067376
1187348
2601318
32704318
done5000318

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (+ (* z y) (* y x)))
0.0b
(+ (* z y) (* y x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ add-cbrt-cube flip-+
1×associate-+r+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
23.0ms
(+ x (+ (* z y) (* y x)))
14.0ms
(+ (* z y) (* y x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (+ (* z y) (* y x)))
36.0ms
(+ (* z y) (* y x))

simplify1.9s

Counts
31 → 31
Iterations

Useful iterations: 3 (734.0ms)

IterNodesCost
052400
1169300
2630280
32562278
done5000278

prune109.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
4.2b
(cbrt (* y (+ z x)))
4.2b
(cbrt (* y (+ z x)))
4.2b
(cbrt (* y (+ z x)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
38.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
20.0ms
(cbrt (* y (+ z x)))
12.0ms
(cbrt (* y (+ z x)))
15.0ms
(cbrt (* y (+ z x)))

series728.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (cbrt (* y (+ z x))) (cbrt (* y (+ z x))))
193.0ms
(cbrt (* y (+ z x)))
154.0ms
(cbrt (* y (+ z x)))
171.0ms
(cbrt (* y (+ z x)))

simplify3.1s

Counts
84 → 84
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01081142
12541039
2641943
31483867
43754827
done5001789

prune360.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
0.2b
(* (sqrt y) (+ z x))
0.2b
(* (sqrt y) (* (sqrt y) (+ z x)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in
8×add-cube-cbrt
7×sqrt-prod
6×associate-*r/
5×associate-*r* add-log-exp
4×associate-+r+ pow-prod-down prod-exp cbrt-unprod
3×flip3-+ flip-+
2×*-commutative unswap-sqr
1×+-commutative sum-log distribute-lft-out
Counts
3 → 69
Calls
3 calls:
14.0ms
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
42.0ms
(* (sqrt y) (+ z x))
63.0ms
(* (sqrt y) (* (sqrt y) (+ z x)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ x (* (sqrt y) (* (sqrt y) (+ z x))))
75.0ms
(* (sqrt y) (+ z x))
62.0ms
(* (sqrt y) (* (sqrt y) (+ z x)))

simplify1.0s

Counts
78 → 78
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0128954
1349695
21293623
done5000611

prune156.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes85.0ms

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
067
197
done97

end0.0ms

sample797.0ms

Algorithm
intervals
Results
332.0ms10113×body80valid