Details

Time bar (total: 11.6s)

sample23.0ms

Algorithm
intervals
Results
9.0ms327×body80valid

simplify4.2s

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: 2.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
2.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite57.0ms

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:
27.0ms
(* (- 1.0 y) z)
28.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* (- 1.0 y) z)
57.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify579.0ms

Counts
52 → 52
Iterations

Useful iterations: done (578.0ms)

IterNodesCost
093536
1226518
2881464
done5000462

prune125.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
0.3b
(cbrt (- 1.0 y))
2.6b
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
6×pow1 add-exp-log cbrt-div add-cbrt-cube
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 69
Calls
4 calls:
5.0ms
(cbrt (- 1.0 y))
7.0ms
(cbrt (- 1.0 y))
8.0ms
(cbrt (- 1.0 y))
25.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- 1.0 y))
106.0ms
(cbrt (- 1.0 y))
137.0ms
(cbrt (- 1.0 y))
87.0ms
(* x (- 1.0 (* (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))) (* (cbrt (- 1.0 y)) z))))

simplify1.0s

Counts
81 → 81
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01331374
13231330
211171002
done5000867

prune320.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
2.1b
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod
9×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
7×associate-*r*
4×associate-*l* associate-*l/ add-log-exp
2×flip3-- pow1/3 associate-*r/ *-commutative flip-- unswap-sqr
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
32.0ms
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
90.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

series744.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt x)
235.0ms
(cbrt x)
125.0ms
(* (- 1.0 (* z (- 1.0 y))) (cbrt x))
117.0ms
(* (* (cbrt x) (cbrt x)) (* (- 1.0 (* z (- 1.0 y))) (cbrt x)))

simplify1.0s

Counts
82 → 82
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01111124
13161088
21421811
done5002732

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
2.2b
(* (* x z) (- y 1.0))

rewrite65.0ms

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:
29.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
34.0ms
(* (* x z) (- y 1.0))

series154.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(+ (* 1.0 x) (* (* x z) (- y 1.0)))
68.0ms
(* (* x z) (- y 1.0))

simplify1.1s

Counts
47 → 47
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
089589
1267557
21512453
done5000453

prune106.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11311
done1311

end0.0ms

sample913.0ms

Algorithm
intervals
Results
419.0ms10112×body80valid