Details

Time bar (total: 15.6s)

sample96.0ms

Algorithm
intervals
Results
45.0ms463×body80valid

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12615
24815
38115
410215
done10215

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))

rewrite229.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
59.0ms
(+ (+ (* x y) (* z t)) (* a b))
160.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms
(+ (* x y) (* z t))

series495.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (+ (* x y) (* z t)) (* a b))
350.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
58.0ms
(+ (* x y) (* z t))

simplify890.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
085777
1278719
21475689
done5000689

prune196.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite950.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
730.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
75.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
63.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
76.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series728.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
153.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
154.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
182.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify757.0ms

Counts
99 → 99
Iterations

Useful iterations: done (751.0ms)

IterNodesCost
01213550
13043343
211453107
done50002762

prune523.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite943.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
37×add-sqr-sqrt
30×cbrt-div
19×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+ unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
89.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
59.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
111.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
676.0ms
(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series719.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
148.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
195.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
211.0ms
(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify746.0ms

Counts
113 → 113
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
01464477
13284252
210894008
done50013529

prune737.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b)) (* c i))
0.0b
(+ (* t z) (* x y))
0.3b
(pow (+ (* t z) (* x y)) 3)
32.4b
(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite405.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-log-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×cube-div flip3-+ sum-log flip-+
3×pow-unpow
2×+-commutative cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 72
Calls
4 calls:
355.0ms
(+ (+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b)) (* c i))
16.0ms
(+ (* t z) (* x y))
17.0ms
(pow (+ (* t z) (* x y)) 3)
16.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

series606.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(+ (+ (cbrt (pow (+ (* t z) (* x y)) 3)) (* a b)) (* c i))
62.0ms
(+ (* t z) (* x y))
181.0ms
(pow (+ (* t z) (* x y)) 3)
44.0ms
(cbrt (pow (+ (* t z) (* x y)) 3))

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: 2 (433.0ms)

IterNodesCost
01281484
14351245
226831121
done50001121

prune361.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes885.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12215
done2215

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s13635×body80valid