Details

Time bar (total: 29.1s)

sample108.0ms

Algorithm
intervals
Results
46.0ms431×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite236.0ms

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))
31.0ms
(+ (+ (* x y) (* z t)) (* a b))
195.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series500.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* x y) (* z t))
93.0ms
(+ (+ (* x y) (* z t)) (* a b))
348.0ms
(+ (+ (+ (* 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

prune270.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

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)))

rewrite954.0ms

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:
686.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
70.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
117.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
76.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series788.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
202.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
191.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
179.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.5s

Counts
99 → 99
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01213550
12823343
28493107
334092718
done50002643

prune553.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

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)))

rewrite367.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
77.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
80.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
94.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
114.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series712.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
184.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
146.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
176.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0651684
11631656
24941524
322021472
done50001444

prune470.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize38.0ms

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))))

rewrite1.3s

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:
169.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
148.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
175.0ms
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
751.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series11.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.3s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
5.3s
(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
298.0ms
(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify709.0ms

Counts
113 → 113
Iterations

Useful iterations: done (704.0ms)

IterNodesCost
01443926
13292930
212632710
done50002579

prune430.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes726.0ms

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 (0.0ms)

IterNodesCost
01515
12215
done2215

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s13756×body80valid