Details

Time bar (total: 38.0s)

sample41.0ms

Algorithm
intervals
Results
17.0ms331×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
31.0ms
(* x (- 1.0 (* x y)))

series151.0ms

Counts
1 → 3
Calls
1 calls:
151.0ms
(* x (- 1.0 (* x y)))

simplify9.5s

Counts
27 → 27
Iterations

Useful iterations: 3 (4.6s)

IterNodesCost
051273
1133270
2569244
34576238
done5001238

prune345.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×distribute-lft-neg-out associate-*r*
1×+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-out distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 36
Calls
2 calls:
25.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
32.0ms
(* (- (* x y)) x)

series148.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
43.0ms
(* (- (* x y)) x)

simplify3.8s

Counts
42 → 42
Iterations

Useful iterations: done (3.8s)

IterNodesCost
065433
1188376
21283337
done5000336

prune495.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
12.1b
(cbrt (- (* x y)))
12.1b
(cbrt (- (* x y)))
12.1b
(cbrt (- (* x y)))

rewrite217.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
4×add-cbrt-cube 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 → 91
Calls
4 calls:
181.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
5.0ms
(cbrt (- (* x y)))
5.0ms
(cbrt (- (* x y)))
6.0ms
(cbrt (- (* x y)))

series1.6s

Counts
4 → 12
Calls
4 calls:
511.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
376.0ms
(cbrt (- (* x y)))
307.0ms
(cbrt (- (* x y)))
352.0ms
(cbrt (- (* x y)))

simplify10.8s

Counts
103 → 103
Iterations

Useful iterations: done (10.7s)

IterNodesCost
01101198
12511102
28661020
34312925
done5000904

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
20.8b
(cbrt (* (- (* x y)) x))
20.8b
(cbrt (* (- (* x y)) x))
20.8b
(cbrt (* (- (* x y)) x))

rewrite101.0ms

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:
58.0ms
(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
11.0ms
(cbrt (* (- (* x y)) x))
13.0ms
(cbrt (* (- (* x y)) x))
15.0ms
(cbrt (* (- (* x y)) x))

series1.5s

Counts
4 → 12
Calls
4 calls:
518.0ms
(* (cbrt (* (- (* x y)) x)) (cbrt (* (- (* x y)) x)))
336.0ms
(cbrt (* (- (* x y)) x))
240.0ms
(cbrt (* (- (* x y)) x))
399.0ms
(cbrt (* (- (* x y)) x))

simplify2.7s

Counts
70 → 70
Iterations

Useful iterations: done (2.7s)

IterNodesCost
089954
1228863
2798750
done5000674

prune881.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes430.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0810
11810
22310
32410
done2410

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.1s10706×body80valid