Details

Time bar (total: 13.9s)

sample24.0ms

Algorithm
intervals
Results
11.0ms364×body80valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done44
444
338
223
110
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-- add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
27.0ms
(* x (- 1.0 (* x y)))

series62.0ms

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

simplify1.7s

Counts
27 → 27
Iterations
IterNodes
done5010
31827
2416
1132
051

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*l* distribute-rgt-neg-out
1×distribute-lft-neg-in +-commutative neg-mul-1 sum-log distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* x (- (* x y))))
10.0ms
(* x (- (* x y)))

series71.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ (* x 1.0) (* x (- (* x y))))
23.0ms
(* x (- (* x y)))

simplify3.9s

Counts
42 → 42
Iterations
IterNodes
done5000
33734
2767
1195
066

prune170.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
19.5b
(cbrt (* x (- (* x y))))
19.5b
(cbrt (* x (- (* x y))))
19.5b
(cbrt (* x (- (* x y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* 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:
30.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
4.0ms
(cbrt (* x (- (* x y))))
4.0ms
(cbrt (* x (- (* x y))))
5.0ms
(cbrt (* x (- (* x y))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
135.0ms
(cbrt (* x (- (* x y))))
115.0ms
(cbrt (* x (- (* x y))))
134.0ms
(cbrt (* x (- (* x y))))

simplify1.7s

Counts
70 → 70
Iterations
IterNodes
done5001
31492
2590
1226
089

prune541.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
9.8b
(cbrt (- (* x y)))
19.5b
(cbrt (* x (- (* x y))))
19.5b
(cbrt (* x (- (* x y))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(cbrt (- (* x y)))
8.0ms
(cbrt (* x (- (* x y))))
4.0ms
(cbrt (* x (- (* x y))))

series641.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt x)
133.0ms
(cbrt (- (* x y)))
106.0ms
(cbrt (* x (- (* x y))))
130.0ms
(cbrt (* x (- (* x y))))

simplify2.6s

Counts
55 → 55
Iterations
IterNodes
done5001
43705
31035
2355
1182
089

prune360.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes141.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done24
324
223
118
08

end0.0ms

sample1.2s

Algorithm
intervals
Results
458.0ms10650×body80valid