Details

Time bar (total: 22.8s)

sample116.0ms

Algorithm
intervals
Results
56.0ms420×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite246.0ms

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:
194.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
10.0ms
(+ (* x y) (* z t))
40.0ms
(+ (+ (* x y) (* z t)) (* a b))

series450.0ms

Counts
3 → 9
Calls
3 calls:
314.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
55.0ms
(+ (* x y) (* z t))
80.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify3.1s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
085777
1273719
21075689
34806677
done5000677

prune224.0ms

Pruning

3 alts after pruning (2 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))) (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)))

rewrite1.1s

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:
821.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
122.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
89.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
104.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series759.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
162.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
165.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
173.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.4s

Counts
99 → 99
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01213550
12823343
28493107
334092718
done50002643

prune533.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b
(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.9b
(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

rewrite624.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
8×flip3-+ flip-+
5×pow1 add-exp-log
4×frac-times pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow associate-*r/ associate-*l/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 70
Calls
4 calls:
73.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
121.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
255.0ms
(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
172.0ms
(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

series976.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
190.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
259.0ms
(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
336.0ms
(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

simplify2.1s

Counts
82 → 82
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01712940
13902784
29692566
333002363
done50012276

prune556.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.2b
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.2b
(* (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
0.5b
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite3.0s

Algorithm
rewrite-expression-head
Rules
242×cbrt-div
240×sqrt-div
144×frac-times
129×pow1
121×flip3-+ flip-+
83×cbrt-prod
73×add-sqr-sqrt
57×pow1/3
53×pow-prod-up
48×associate-*r/ associate-*l/
40×sqrt-prod
37×pow-sqr
36×pow-prod-down
29×add-cube-cbrt *-un-lft-identity
23×swap-sqr
20×add-exp-log pow-plus
19×associate-*r* associate-*l* unswap-sqr
15×pow2
10×prod-exp cbrt-unprod
8×add-cbrt-cube
4×add-log-exp
3×*-commutative
Counts
4 → 295
Calls
4 calls:
663.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
699.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
1.5s
(* (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
78.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series838.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
181.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
321.0ms
(* (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))) (* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))))
148.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.1s

Counts
307 → 307
Iterations

Useful iterations: done (1.1s)

IterNodesCost
029524120
174520247
2155618517
done500016343

prune907.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes803.0ms

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
1.1s13628×body80valid