Details

Time bar (total: 6.9s)

sample48.0ms

Algorithm
intervals
Results
17.0ms323×body80valid

simplify734.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
101734
9377
8136
796
675
564
453
334
220
113
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
16.0ms
(+ (* (- 1.0 x) z) (* x y))
17.0ms
(* (- 1.0 x) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (* (- 1.0 x) z) (* x y))
40.0ms
(* (- 1.0 x) z)

simplify403.0ms

Counts
39 → 39
Iterations
IterNodes
done5000
2767
1190
071

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
3.0ms
(cbrt (- 1.0 x))
39.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (- 1.0 x))
111.0ms
(cbrt (- 1.0 x))
107.0ms
(cbrt (- 1.0 x))
129.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify786.0ms

Counts
113 → 113
Iterations
IterNodes
done5000
21218
1342
0148

prune641.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (- 1.0 x))
0.0b
(+ (* y x) (* z (- 1.0 x)))
0.1b
(pow (+ (* y x) (* z (- 1.0 x))) 3)
38.4b
(cbrt (pow (+ (* y x) (* z (- 1.0 x))) 3))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-cbrt-cube add-exp-log
6×unpow-prod-down cube-prod add-log-exp
5×associate-*r*
4×cube-div distribute-rgt-in associate-+r+ sub-neg distribute-lft-in
3×pow-unpow flip3-+ associate-*l* flip-+
2×cube-mult cbrt-div unpow3 associate-*r/ sqr-pow
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow1/3 pow-prod-down pow-exp prod-exp *-commutative rem-cbrt-cube cbrt-unprod flip-- distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
25.0ms
(* z (- 1.0 x))
12.0ms
(+ (* y x) (* z (- 1.0 x)))
14.0ms
(pow (+ (* y x) (* z (- 1.0 x))) 3)
11.0ms
(cbrt (pow (+ (* y x) (* z (- 1.0 x))) 3))

series304.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* z (- 1.0 x))
46.0ms
(+ (* y x) (* z (- 1.0 x)))
161.0ms
(pow (+ (* y x) (* z (- 1.0 x))) 3)
46.0ms
(cbrt (pow (+ (* y x) (* z (- 1.0 x))) 3))

simplify1.6s

Counts
101 → 101
Iterations
IterNodes
done5002
22591
1439
0144

prune363.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample984.0ms

Algorithm
intervals
Results
466.0ms10030×body80valid