Details

Time bar (total: 2.2s)

sample16.0ms

Algorithm
intervals
Results
6.0ms349×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273
done1273

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
32.0ms
(* (* x y) (- 1.0 y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify43.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292436
11402284
25001272
done5001272

prune56.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
0.1b
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-neg-in unswap-sqr
Counts
2 → 46
Calls
2 calls:
46.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
64.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series72.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
38.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify41.0ms

Counts
52 → 52
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0224382
11118262
25001252
done5001252

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 109
Calls
4 calls:
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
38.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series358.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(cbrt (- 1.0 y))
86.0ms
(cbrt (- 1.0 y))
84.0ms
(cbrt (- 1.0 y))
102.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify148.0ms

Counts
121 → 121
Iterations

Useful iterations: 3 (138.0ms)

IterNodesCost
0328874
11077836
24703779
35001778
done5001778

prune314.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
6.3b
(* x (* y (- 1.0 y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
22.0ms
(* y (- 1.0 y))
37.0ms
(* x (* y (- 1.0 y)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* y (- 1.0 y))
48.0ms
(* x (* y (- 1.0 y)))

simplify49.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03961094
11575666
25002648
done5002648

prune100.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12712
22712
done2712

end0.0ms

sample390.0ms

Algorithm
intervals
Results
180.0ms10658×body80valid