Details

Time bar (total: 21.4s)

sample101.0ms

Algorithm
intervals
Results
50.0ms420×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12615
24815
37915
48915
done8915

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite183.0ms

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:
135.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
14.0ms
(+ (* x y) (* z t))
32.0ms
(+ (+ (* x y) (* z t)) (* a b))

series372.0ms

Counts
3 → 9
Calls
3 calls:
246.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
38.0ms
(+ (* x y) (* z t))
88.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify2.9s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
085777
1273719
21075689
34806677
done5000677

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

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)))

rewrite997.0ms

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:
756.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
104.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
64.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
70.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
156.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
174.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
189.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify2.0s

Counts
99 → 99
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01213550
12823343
28493107
334092718
done50002643

prune457.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

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)

rewrite631.0ms

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:
90.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
95.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
228.0ms
(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
169.0ms
(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

series803.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
142.0ms
(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
199.0ms
(cbrt (* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
296.0ms
(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

simplify2.2s

Counts
82 → 82
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01712940
13902784
29692566
333002363
done50012276

prune470.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize58.0ms

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)))

rewrite2.7s

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:
683.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
631.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
1.3s
(* (* (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))))))
67.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series699.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
150.0ms
(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
229.0ms
(* (* (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))))))
191.0ms
(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.5s

Counts
307 → 307
Iterations

Useful iterations: done (1.5s)

IterNodesCost
029524120
174520247
2155618517
done500016343

prune905.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes733.0ms

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

sample2.5s

Algorithm
intervals
Results
1.1s13628×body80valid