Details

Time bar (total: 2.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms326×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494
done4494

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
21.0ms
(* (- 1.0 x) y)
15.0ms
(+ (* (- 1.0 x) y) (* x z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- 1.0 x) y)
37.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify100.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0184181
1787167
24082166
35001166
done5001166

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))

rewrite57.0ms

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×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
41.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
4.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))

series349.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))
83.0ms
(cbrt (- 1.0 x))
82.0ms
(cbrt (- 1.0 x))
84.0ms
(cbrt (- 1.0 x))

simplify146.0ms

Counts
113 → 113
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0316847
11003807
24432753
35001749
done5001749

prune310.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 x))
0.0b
(sqrt (- 1.0 x))
0.0b
(* (sqrt (- 1.0 x)) y)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×sqrt-prod
19×*-un-lft-identity
18×sqrt-div
16×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*l/
9×flip3-- flip--
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
7.0ms
(sqrt (- 1.0 x))
7.0ms
(sqrt (- 1.0 x))
23.0ms
(* (sqrt (- 1.0 x)) y)
54.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series172.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(sqrt (- 1.0 x))
28.0ms
(sqrt (- 1.0 x))
84.0ms
(* (sqrt (- 1.0 x)) y)
32.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify111.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0329600
11113526
24769512
35001512
done5001512

prune224.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes64.0ms

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
0114
1114
done114

end0.0ms

sample486.0ms

Algorithm
intervals
Results
211.0ms10194×body80valid