Details

Time bar (total: 3.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms340×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273
done1273

prune1.0ms

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

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* (* x y) (- 1.0 y))

simplify42.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0292436
11402284
25001272
done5001272

prune52.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.2b
(* (* x y) (- y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
17.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
19.0ms
(* (* x y) (- y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
35.0ms
(* (* x y) (- y))

simplify58.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0252263
11522222
25002217
done5002217

prune94.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y)) (cbrt (- y)))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))
0.6b
(cbrt (- y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
78×cbrt-prod
37×add-sqr-sqrt
33×*-un-lft-identity
29×add-cube-cbrt
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
15×swap-sqr
13×associate-*r* associate-*l*
11×pow1
9×pow1/3
7×neg-mul-1
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 125
Calls
4 calls:
19.0ms
(* (cbrt (- y)) (cbrt (- y)))
2.0ms
(cbrt (- y))
2.0ms
(cbrt (- y))
4.0ms
(cbrt (- y))

series785.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (- y)) (cbrt (- y)))
188.0ms
(cbrt (- y))
191.0ms
(cbrt (- y))
184.0ms
(cbrt (- y))

simplify84.0ms

Counts
137 → 137
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
0154726
1552685
22895633
35001611
done5001611

prune347.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
21.2b
(cbrt (* (* x y) (- y)))
21.2b
(cbrt (* (* x y) (- y)))
21.2b
(cbrt (* (* x y) (- y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
28.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
13.0ms
(cbrt (* (* x y) (- y)))
13.0ms
(cbrt (* (* x y) (- y)))
13.0ms
(cbrt (* (* x y) (- y)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (* (* x y) (- y))) (cbrt (* (* x y) (- y))))
113.0ms
(cbrt (* (* x y) (- y)))
105.0ms
(cbrt (* (* x y) (- y)))
104.0ms
(cbrt (* (* x y) (- y)))

simplify93.0ms

Counts
78 → 78
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0217572
1735503
23374434
35001428
done5001428

prune242.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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
0146
1186
2246
3246
done246

end0.0ms

sample383.0ms

Algorithm
intervals
Results
176.0ms10607×body80valid