Details

Time bar (total: 10.6s)

sample36.0ms

Algorithm
intervals
Results
16.0ms343×body80valid

simplify159.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3747
41347
51707
61937
done1937

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize440.0ms

Local error

Found 1 expressions with local error:

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

rewrite66.0ms

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:
62.0ms
(* (* x y) (- 1.0 y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(* (* x y) (- 1.0 y))

simplify2.1s

Counts
49 → 49
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0110883
1336718
22285586
done5001562

prune80.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l*
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-out distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+
Counts
2 → 44
Calls
2 calls:
30.0ms
(+ (* (* x y) 1.0) (* (- y) (* x y)))
38.0ms
(* (- y) (* x y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
108.0ms
(+ (* (* x y) 1.0) (* (- y) (* x y)))
24.0ms
(* (- y) (* x y))

simplify1.0s

Counts
50 → 50
Iterations

Useful iterations: 2 (216.0ms)

IterNodesCost
077539
1225493
21217395
done5001395

prune141.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (- y) (* x y))) (cbrt (* (- y) (* x y))))
19.0b
(cbrt (* (- y) (* x y)))
19.0b
(cbrt (* (- y) (* x y)))
19.0b
(cbrt (* (- y) (* x y)))

rewrite135.0ms

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:
62.0ms
(* (cbrt (* (- y) (* x y))) (cbrt (* (- y) (* x y))))
23.0ms
(cbrt (* (- y) (* x y)))
24.0ms
(cbrt (* (- y) (* x y)))
24.0ms
(cbrt (* (- y) (* x y)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(* (cbrt (* (- y) (* x y))) (cbrt (* (- y) (* x y))))
115.0ms
(cbrt (* (- y) (* x y)))
115.0ms
(cbrt (* (- y) (* x y)))
158.0ms
(cbrt (* (- y) (* x y)))

simplify659.0ms

Counts
78 → 78
Iterations

Useful iterations: done (655.0ms)

IterNodesCost
0931034
1234937
2773824
done5000745

prune351.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y))
9.2b
(cbrt (* x y))
19.0b
(cbrt (* (- y) (* x y)))
19.0b
(cbrt (* (- y) (* x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 53
Calls
4 calls:
2.0ms
(cbrt (- y))
3.0ms
(cbrt (* x y))
12.0ms
(cbrt (* (- y) (* x y)))
20.0ms
(cbrt (* (- y) (* x y)))

series658.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(cbrt (- y))
94.0ms
(cbrt (* x y))
108.0ms
(cbrt (* (- y) (* x y)))
123.0ms
(cbrt (* (- y) (* x y)))

simplify2.5s

Counts
65 → 65
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
096528
1185515
2393464
31095430
44775420
done5000420

prune324.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11412
21812
32412
done2412

end0.0ms

sample804.0ms

Algorithm
intervals
Results
383.0ms10672×body80valid