Details

Time bar (total: 15.8s)

sample34.0ms

Algorithm
intervals
Results
15.0ms343×body80valid

simplify19.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:
14.0ms
(* x (- 1.0 (* x y)))

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(* x (- 1.0 (* x y)))

simplify1.8s

Counts
27 → 27
Iterations
IterNodes
done5010
31827
2416
1132
051

prune138.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
7.0ms
(+ (* x 1.0) (* x (- (* x y))))
10.0ms
(* x (- (* x y)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* x 1.0) (* x (- (* x y))))
28.0ms
(* x (- (* x y)))

simplify4.1s

Counts
42 → 42
Iterations
IterNodes
done5000
33734
2767
1195
066

prune281.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
21.8b
(cbrt (* x (- (* x y))))
21.8b
(cbrt (* x (- (* x y))))
21.8b
(cbrt (* x (- (* x y))))

rewrite65.0ms

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:
40.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
9.0ms
(cbrt (* x (- (* x y))))
6.0ms
(cbrt (* x (- (* x y))))
8.0ms
(cbrt (* x (- (* x y))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (* x (- (* x y)))) (cbrt (* x (- (* x y)))))
126.0ms
(cbrt (* x (- (* x y))))
147.0ms
(cbrt (* x (- (* x y))))
154.0ms
(cbrt (* x (- (* x y))))

simplify2.0s

Counts
70 → 70
Iterations
IterNodes
done5001
31492
2590
1226
089

prune492.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

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×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* 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 → 73
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (cbrt x) (cbrt x))
291.0ms
(cbrt x)
311.0ms
(cbrt x)
299.0ms
(cbrt x)

simplify3.3s

Counts
85 → 85
Iterations
IterNodes
done5007
43735
31034
2377
1136
061

prune345.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes218.0ms

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

sample792.0ms

Algorithm
intervals
Results
439.0ms10667×body80valid