Details

Time bar (total: 10.5s)

sample92.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
06123
110123
217123
331123
449123
569123
680123
798123
8237123
9626123
102700123
done5000123

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×distribute-rgt-in pow1 associate-+r+ sub-neg distribute-lft-in add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
32.0ms
(* y (- z x))
22.0ms
(+ x (* y (- z x)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* y (- z x))
57.0ms
(+ x (* y (- z x)))

simplify2.1s

Counts
47 → 47
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
0728028
11857004
25956924
330596924
done50016924

prune158.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
0.5b
(cbrt (- z x))
0.6b
(* (cbrt (- z x)) (cbrt (- z x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
7.0ms
(cbrt (- z x))
7.0ms
(cbrt (- z x))
6.0ms
(cbrt (- z x))
38.0ms
(* (cbrt (- z x)) (cbrt (- z x)))

series767.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (- z x))
191.0ms
(cbrt (- z x))
205.0ms
(cbrt (- z x))
182.0ms
(* (cbrt (- z x)) (cbrt (- z x)))

simplify1.3s

Counts
113 → 113
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013137200
128631805
299431584
done500030534

prune501.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

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)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
14×add-sqr-sqrt
12×associate-*l*
10×pow1 sub-neg *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-+r+ add-cube-cbrt
7×sqrt-prod
6×associate-*r* associate-*r/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative sum-log flip3-+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 80
Calls
3 calls:
11.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
18.0ms
(* (sqrt y) (- z x))
42.0ms
(* (sqrt y) (* (sqrt y) (- z x)))

series231.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(+ x (* (sqrt y) (* (sqrt y) (- z x))))
87.0ms
(* (sqrt y) (- z x))
59.0ms
(* (sqrt y) (* (sqrt y) (- z x)))

simplify1.5s

Counts
89 → 89
Iterations

Useful iterations: done (1.5s)

IterNodesCost
013321537
137019421
2176115021
done500014941

prune308.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes223.0ms

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
06123
18123
done8123

end0.0ms

sample743.0ms

Algorithm
intervals
Results
413.0ms10133×body80valid