Details

Time bar (total: 28.9s)

sample109.0ms

Algorithm
intervals
Results
48.0ms424×body80valid

simplify89.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite273.0ms

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:
9.0ms
(+ (* x y) (* z t))
38.0ms
(+ (+ (* x y) (* z t)) (* a b))
225.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series430.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (* x y) (* z t))
87.0ms
(+ (+ (* x y) (* z t)) (* a b))
296.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify3.1s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
085777
1273719
21073689
34790677
done5000677

prune220.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

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

rewrite982.0ms

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:
122.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
68.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
86.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
701.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series824.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
174.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
219.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
247.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify2.3s

Counts
99 → 99
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01213550
12823343
28533107
334222718
done50002643

prune581.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
13×add-log-exp
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* sum-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
210.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
167.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
199.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
806.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.3s

Counts
4 → 12
Calls
4 calls:
298.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.3s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.4s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
313.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify737.0ms

Counts
113 → 113
Iterations

Useful iterations: done (733.0ms)

IterNodesCost
01443926
13292930
212632710
done50002579

prune461.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b
(cbrt (sqrt (+ (+ (+ (* 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)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×cbrt-div
6×sqrt-prod
4×pow1 add-exp-log flip3-+ pow1/3 sqrt-div add-cbrt-cube flip-+ add-log-exp
Counts
4 → 58
Calls
4 calls:
68.0ms
(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
67.0ms
(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
62.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
66.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
132.0ms
(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
157.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
164.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.3s

Counts
70 → 70
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0961942
12221876
25941740
323871688
done50001662

prune381.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes765.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12215
done2215

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.2s13585×body80valid