Details

Time bar (total: 12.9s)

sample27.0ms

Algorithm
intervals
Results
11.0ms320×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2349
3849
42319
57999
639999
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
5.1b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite58.0ms

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:
31.0ms
(* (- 1.0 y) z)
25.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- 1.0 y) z)
71.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify574.0ms

Counts
52 → 52
Iterations

Useful iterations: done (573.0ms)

IterNodesCost
093536
1226518
2881464
done5000462

prune106.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.7b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
2.7b
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*l*
6×sub-neg associate-*r/
4×associate-*r* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
52.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
24.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

series672.0ms

Counts
4 → 12
Calls
4 calls:
223.0ms
(cbrt x)
208.0ms
(cbrt x)
88.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))
154.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))

simplify1.2s

Counts
94 → 94
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01221368
13641335
21913994
done5002864

prune175.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
4.3b
(* (* x z) (- y 1.0))

rewrite89.0ms

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-+l+ 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:
43.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
44.0ms
(* (* x z) (- y 1.0))

series160.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(+ (* (* x z) (- y 1.0)) (* 1.0 x))
74.0ms
(* (* x z) (- y 1.0))

simplify1.0s

Counts
47 → 47
Iterations

Useful iterations: 2 (153.0ms)

IterNodesCost
089593
1267565
21497457
done5001457

prune136.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- y 1.0))
0.3b
(cbrt (- y 1.0))
0.9b
(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
3.4b
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

rewrite424.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
48×associate-*l/
35×flip3-- flip--
34×pow1 add-exp-log
32×frac-times
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
10×associate-*r/
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:
4.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
296.0ms
(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
111.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

series647.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(cbrt (- y 1.0))
134.0ms
(cbrt (- y 1.0))
99.0ms
(* (* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z)) (cbrt (- y 1.0)))
278.0ms
(* (* (cbrt (- y 1.0)) (cbrt (- y 1.0))) (* x z))

simplify1.7s

Counts
130 → 130
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02332867
16262748
228642344
done50012186

prune450.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes449.0ms

Accuracy

82.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02265
12965
done2965

end0.0ms

sample1.0s

Algorithm
intervals
Results
439.0ms10159×body80valid