Details

Time bar (total: 22.9s)

sample41.0ms

Algorithm
intervals
Results
20.0ms332×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
41659
53319
63759
74349
85099
95929
106709
118439
1212179
1313369
1414539
done14539

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* (- 1.0 y) z))
0.0b
(* (- 1.0 y) z)
2.4b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*l*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×associate-*r*
5×add-log-exp
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
7.0ms
(- 1.0 (* (- 1.0 y) z))
35.0ms
(* (- 1.0 y) z)
29.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series150.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- 1.0 (* (- 1.0 y) z))
38.0ms
(* (- 1.0 y) z)
70.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.0s

Counts
67 → 67
Iterations

Useful iterations: 3 (706.0ms)

IterNodesCost
0102720
1234695
2702621
32536605
done5000605

prune156.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.3b
(* (* x z) (- y 1.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
12.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
46.0ms
(* (* x z) (- y 1.0))

series158.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
68.0ms
(* (* x z) (- y 1.0))

simplify5.0s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.3s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune132.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite425.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 118
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
8.0ms
(cbrt (- y 1.0))
280.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
113.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series590.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(cbrt (- y 1.0))
137.0ms
(cbrt (- y 1.0))
79.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
217.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify1.6s

Counts
130 → 130
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02342883
16422763
222012343
done50012163

prune463.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.4b
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
1.9b
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
1534×cbrt-div
704×frac-times
522×associate-*r/
515×flip3-- flip--
256×associate-*l/
54×pow1 add-exp-log
37×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 418
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
8.0ms
(cbrt (- y 1.0))
1.1s
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
369.0ms
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

series553.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (- y 1.0))
141.0ms
(cbrt (- y 1.0))
102.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0)))))) (cbrt (- y 1.0)))
207.0ms
(* (* x z) (* (cbrt (- y 1.0)) (* (cbrt (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (cbrt (- y 1.0))))))

simplify943.0ms

Counts
430 → 430
Iterations

Useful iterations: done (919.0ms)

IterNodesCost
081121799
1242921127
done500020549

prune3.3s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes374.0ms

Accuracy

81.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01955
12845
done2845

end0.0ms

sample860.0ms

Algorithm
intervals
Results
548.0ms10077×body80valid