Details

Time bar (total: 14.1s)

sample23.0ms

Algorithm
intervals
Results
9.0ms350×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3397
4477
done477

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
35.0ms
(* x (- 1.0 (* x y)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* x (- 1.0 (* x y)))

simplify3.0s

Counts
27 → 27
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
051273
1133270
2569244
34576238
done5001238

prune85.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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:
15.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
25.0ms
(* (- (* x y)) x)

series90.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* 1.0 x) (* (- (* x y)) x))
25.0ms
(* (- (* x y)) x)

simplify1.2s

Counts
42 → 42
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065433
1188376
21283337
done5000336

prune143.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
11.5b
(cbrt (- (* x y)))
11.5b
(cbrt (- (* x y)))
11.5b
(cbrt (- (* x y)))

rewrite42.0ms

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:
25.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
2.0ms
(cbrt (- (* x y)))
4.0ms
(cbrt (- (* x y)))
5.0ms
(cbrt (- (* x y)))

series681.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
152.0ms
(cbrt (- (* x y)))
145.0ms
(cbrt (- (* x y)))
141.0ms
(cbrt (- (* x y)))

simplify4.7s

Counts
103 → 103
Iterations

Useful iterations: done (4.7s)

IterNodesCost
01101198
12511102
28661020
34312925
done5000904

prune436.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (cbrt x) (cbrt x))
298.0ms
(cbrt x)
306.0ms
(cbrt x)
266.0ms
(cbrt x)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.3s)

IterNodesCost
061524
1139417
2735397
done5000383

prune232.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes58.0ms

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
0810
11810
22310
32410
done2410

end0.0ms

sample726.0ms

Algorithm
intervals
Results
325.0ms10667×body80valid