Details

Time bar (total: 5.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms310×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1117
2247
3457
4637
5717
done717

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize7.0ms

Local error

Found 1 expressions with local error:

4.6b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
7.0ms
(* x (- 1.0 (* y z)))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* x (- 1.0 (* y z)))

simplify1.0s

Counts
27 → 27
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
051267
1119264
2410232
31465232
done5000232

prune57.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* x (- (* y z))))
7.3b
(* x (- (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt associate-*r*
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
associate-*l* distribute-rgt-neg-out
+-commutative distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* x (- (* y z))))
5.0ms
(* x (- (* y z)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ (* 1.0 x) (* x (- (* y z))))
25.0ms
(* x (- (* y z)))

simplify1.2s

Counts
41 → 41
Iterations

Useful iterations: done (1.2s)

IterNodesCost
066413
1176373
2787315
done5000310

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* x y) (- z)))
5.7b
(* (* x y) (- z))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 39
Calls
2 calls:
3.0ms
(+ (* 1.0 x) (* (* x y) (- z)))
8.0ms
(* (* x y) (- z))

series87.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* 1.0 x) (* (* x y) (- z)))
30.0ms
(* (* x y) (- z))

simplify721.0ms

Counts
45 → 45
Iterations

Useful iterations: done (719.0ms)

IterNodesCost
080454
1238405
21057338
done5000336

prune89.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
13.9b
(cbrt (- (* y z)))
13.9b
(cbrt (- (* y z)))
13.9b
(cbrt (- (* y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
pow1 add-exp-log add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
add-log-exp
distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative unswap-sqr
Counts
4 → 61
Calls
4 calls:
14.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))
1.0ms
(cbrt (- (* y z)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* x (* (cbrt (- (* y z))) (cbrt (- (* y z)))))
96.0ms
(cbrt (- (* y z)))
96.0ms
(cbrt (- (* y z)))
95.0ms
(cbrt (- (* y z)))

simplify758.0ms

Counts
73 → 73
Iterations

Useful iterations: 3 (243.0ms)

IterNodesCost
0100844
1243813
2613719
31960686
done5001686

prune194.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

97% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 4.7b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01942
13633
24433
35033
done5033

end0.0ms

sample373.0ms

Algorithm
intervals
Results
190.0ms9670×body80valid