Details

Time bar (total: 22.5s)

sample28.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3589
4939
51219
61399
71599
81929
92499
102789
113139
123499
133749
143909
154779
165689
178189
1811439
1915709
2016559
2116569
done16569

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.6b
(* (- y x) (/ z t))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
52.0ms
(* (- y x) (/ z t))

series113.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* (- y x) (/ z t)))
66.0ms
(* (- y x) (/ z t))

simplify2.9s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0115669
1293627
21083581
34484557
done5001557

prune124.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
5.6b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
74.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series861.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt t)
250.0ms
(cbrt t)
261.0ms
(cbrt t)
79.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.5s

Counts
106 → 106
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01511411
14351355
218151035
done5000944

prune347.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
0.9b
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
0.9b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
94×times-frac
93×cbrt-prod
85×add-exp-log
67×*-un-lft-identity
62×associate-*l*
51×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
26×cbrt-undiv div-exp
23×associate-*r*
15×unswap-sqr
11×pow1
8×distribute-lft-out-- difference-of-squares
6×frac-times associate-*r/
4×cbrt-div pow-prod-down associate-*l/ add-log-exp
3×div-inv
2×flip3-- pow1/3 *-commutative flip--
Counts
4 → 197
Calls
4 calls:
8.0ms
(cbrt (- y x))
8.0ms
(cbrt (- y x))
80.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
136.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

series1.1s

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt (- y x))
175.0ms
(cbrt (- y x))
685.0ms
(* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t)))
102.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (/ (cbrt (- y x)) (cbrt t)) (/ z (cbrt t))))

simplify2.1s

Counts
209 → 209
Iterations

Useful iterations: done (2.1s)

IterNodesCost
03184248
19024127
230593270
done50012982

prune913.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.9b
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

rewrite676.0ms

Algorithm
rewrite-expression-head
Rules
292×add-exp-log
150×prod-exp cbrt-unprod
106×add-cbrt-cube
93×cbrt-undiv div-exp
17×frac-times
13×pow1 associate-*r/
12×cbrt-prod
11×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
6×times-frac pow-prod-down
4×add-log-exp
3×pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 160
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
652.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

series880.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt z)
295.0ms
(cbrt z)
284.0ms
(cbrt z)
61.0ms
(* (/ (* (cbrt (- y x)) (cbrt (- y x))) (cbrt t)) (* (* (/ (cbrt (- y x)) (cbrt t)) (/ (* (cbrt z) (cbrt z)) (cbrt (* (cbrt t) (cbrt t))))) (/ (cbrt z) (cbrt (cbrt t)))))

simplify3.0s

Counts
172 → 172
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02777543
18617242
245574196
done50003452

prune618.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes309.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02142
12542
done2542

end0.0ms

sample1.4s

Algorithm
intervals
Results
623.0ms10621×body80valid