Details

Time bar (total: 11.8s)

sample34.0ms

Algorithm
intervals
Results
14.0ms318×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5001
103203
9724
8385
7336
6305
5231
4149
365
229
115
08

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* 6.0 (* z (- x y))))
0.0b
(* z (- x y))
0.3b
(* 6.0 (* z (- x y)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
18×distribute-rgt-in distribute-lft-in
11×sub-neg
10×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
*-un-lft-identity associate--r+
associate-*r* associate-*l* associate-*r/ add-cube-cbrt
add-log-exp
pow-prod-down prod-exp cbrt-unprod
flip3-- flip--
*-commutative
diff-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 74
Calls
3 calls:
14.0ms
(- x (* 6.0 (* z (- x y))))
32.0ms
(* z (- x y))
43.0ms
(* 6.0 (* z (- x y)))

series208.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- x (* 6.0 (* z (- x y))))
66.0ms
(* z (- x y))
69.0ms
(* 6.0 (* z (- x y)))

simplify681.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
21025
1279
0109

prune282.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 6.0 z) x) (* y (- (* z 6.0))))
0.0b
(- x (+ (* (* 6.0 z) x) (* y (- (* z 6.0)))))
0.2b
(* (* 6.0 z) x)
0.3b
(* y (- (* z 6.0)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-log-exp
*-un-lft-identity associate-*r*
add-cube-cbrt
distribute-rgt-neg-out
associate-*l* pow-prod-down prod-exp cbrt-unprod
sum-log diff-log unsub-neg *-commutative associate--r-
distribute-lft-neg-in +-commutative neg-mul-1 sub-neg distribute-rgt-neg-in flip3-+ flip3-- flip-+ flip-- associate--r+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 71
Calls
4 calls:
14.0ms
(+ (* (* 6.0 z) x) (* y (- (* z 6.0))))
30.0ms
(- x (+ (* (* 6.0 z) x) (* y (- (* z 6.0)))))
31.0ms
(* (* 6.0 z) x)
12.0ms
(* y (- (* z 6.0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (* (* 6.0 z) x) (* y (- (* z 6.0))))
65.0ms
(- x (+ (* (* 6.0 z) x) (* y (- (* z 6.0)))))
27.0ms
(* (* 6.0 z) x)
38.0ms
(* y (- (* z 6.0)))

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
done5001
21880
1334
0124

prune261.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
pow1/3
swap-sqr associate-*r* associate-*l* add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (cbrt x) (cbrt x))

series992.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt x)
236.0ms
(cbrt x)
225.0ms
(cbrt x)
287.0ms
(* (cbrt x) (cbrt x))

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done5001
2723
1138
061

prune408.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (- x y))) (cbrt (* z (- x y))))
4.0b
(cbrt (* z (- x y)))
4.0b
(cbrt (* z (- x y)))
4.0b
(cbrt (* z (- x y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
*-un-lft-identity add-cube-cbrt
cbrt-prod
add-exp-log
frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
34.0ms
(* (cbrt (* z (- x y))) (cbrt (* z (- x y))))
6.0ms
(cbrt (* z (- x y)))
5.0ms
(cbrt (* z (- x y)))
6.0ms
(cbrt (* z (- x y)))

series875.0ms

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (cbrt (* z (- x y))) (cbrt (* z (- x y))))
180.0ms
(cbrt (* z (- x y)))
226.0ms
(cbrt (* z (- x y)))
229.0ms
(cbrt (* z (- x y)))

simplify790.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
2969
1277
0115

prune604.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes314.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
553.0ms10106×body80valid