Details

Time bar (total: 7.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms343×body80valid

simplify52.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2327
3707
41027
51137
done1137

prune7.0ms

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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
1×flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
30.0ms
(* (* x y) (- 1.0 y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* (* x y) (- 1.0 y))

simplify1.1s

Counts
29 → 29
Iterations

Useful iterations: done (1.1s)

IterNodesCost
060303
1175294
21142254
done5000242

prune85.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

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
1×+-commutative neg-mul-1 distribute-rgt-out flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+
Counts
2 → 40
Calls
2 calls:
18.0ms
(+ (* 1.0 (* x y)) (* (- y) (* x y)))
34.0ms
(* (- y) (* x y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(+ (* 1.0 (* x y)) (* (- y) (* x y)))
23.0ms
(* (- y) (* x y))

simplify717.0ms

Counts
46 → 46
Iterations

Useful iterations: done (716.0ms)

IterNodesCost
073503
1219404
21166351
done5001350

prune132.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite75.0ms

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×swap-sqr associate-*r* associate-*l* add-cbrt-cube 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 → 58
Calls
4 calls:
33.0ms
(* (cbrt (* (- y) (* x y))) (cbrt (* (- y) (* x y))))
12.0ms
(cbrt (* (- y) (* x y)))
16.0ms
(cbrt (* (- y) (* x y)))
12.0ms
(cbrt (* (- y) (* x y)))

series562.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt (* (- y) (* x y))) (cbrt (* (- y) (* x y))))
133.0ms
(cbrt (* (- y) (* x y)))
116.0ms
(cbrt (* (- y) (* x y)))
116.0ms
(cbrt (* (- y) (* x y)))

simplify533.0ms

Counts
70 → 70
Iterations

Useful iterations: done (532.0ms)

IterNodesCost
089954
1226863
2804750
done5000674

prune307.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
13×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
1×neg-mul-1
Counts
4 → 45
Calls
4 calls:
2.0ms
(cbrt (- y))
4.0ms
(cbrt (* x y))
20.0ms
(cbrt (* (- y) (* x y)))
24.0ms
(cbrt (* (- y) (* x y)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(cbrt (- y))
77.0ms
(cbrt (* x y))
119.0ms
(cbrt (* (- y) (* x y)))
140.0ms
(cbrt (* (- y) (* x y)))

simplify2.0s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
090478
1178467
2370418
31020380
44473370
done5000370

prune232.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11412
21812
32412
done2412

end0.0ms

sample803.0ms

Algorithm
intervals
Results
383.0ms10672×body80valid