Details

Time bar (total: 21.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify4.4s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
3.7b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
47.0ms
(* (- 1.0 y) z)
27.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (- 1.0 y) z)
59.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.1s

Counts
52 → 52
Iterations

Useful iterations: 3 (858.0ms)

IterNodesCost
093536
1212518
2649458
32455450
done5001450

prune180.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
3.9b
(* (* x z) (- y 1.0))

rewrite68.0ms

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:
15.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
51.0ms
(* (* x z) (- y 1.0))

series192.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
71.0ms
(* (* x z) (- y 1.0))

simplify4.9s

Counts
47 → 47
Iterations

Useful iterations: 3 (2.4s)

IterNodesCost
089589
1255557
2994453
34801451
done5001451

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.2b
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite516.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
44×associate-*r/
41×pow1
40×flip3-- flip--
38×cbrt-prod
36×add-exp-log frac-times
35×add-sqr-sqrt
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
18×associate-*l/
17×associate-*r*
15×add-cube-cbrt
10×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 159
Calls
4 calls:
4.0ms
(cbrt (- y 1.0))
71.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
324.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
105.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series588.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(cbrt (- y 1.0))
182.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
86.0ms
(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
202.0ms
(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify2.2s

Counts
171 → 171
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02873542
17633336
226632889
done50012699

prune581.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.8b
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))
1.3b
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

rewrite957.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-div
76×associate-*r/
40×flip3-- flip--
38×cbrt-prod
36×add-sqr-sqrt frac-times
34×pow1 *-un-lft-identity
29×add-exp-log
19×add-cbrt-cube
18×pow-prod-down associate-*l/
17×associate-*r* prod-exp cbrt-unprod
16×add-cube-cbrt
12×associate-*l*
10×swap-sqr
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 155
Calls
4 calls:
9.0ms
(cbrt (- y 1.0))
63.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
621.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))
250.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

series677.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (- y 1.0))
212.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
80.0ms
(* (* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))) (cbrt (- y 1.0)))
216.0ms
(* x (* z (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))))

simplify2.0s

Counts
167 → 167
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02973458
17733269
226062844
done50012696

prune623.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
11722
done1722

end0.0ms

sample1.1s

Algorithm
intervals
Results
495.0ms10117×body80valid