Details

Time bar (total: 19.4s)

sample60.0ms

Algorithm
intervals
Results
25.0ms331×body80valid
1.0ms4×body1280valid
1.0ms2×body640valid
0.0ms1×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
01215
13015
28915
328713
485713
5189413
6442513
done500113

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 2 (+ y z)) t) x)
0.0b
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 31
Calls
2 calls:
58.0ms
(* (+ (* 2 (+ y z)) t) x)
11.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

series105.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (+ (* 2 (+ y z)) t) x)
56.0ms
(+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))

simplify915.0ms

Counts
37 → 37
Iterations

Useful iterations: 2 (187.0ms)

IterNodesCost
075579
1223545
21118485
done5002485

prune232.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 2 x) (+ y z))
0.0b
(+ (* (* 2 x) (+ y z)) (* t x))
0.0b
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt associate-*r* sum-log
3×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
2×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in associate-*r/
1×associate-+r+ associate-*l* *-commutative distribute-lft-out
Counts
3 → 49
Calls
3 calls:
29.0ms
(* (* 2 x) (+ y z))
39.0ms
(+ (* (* 2 x) (+ y z)) (* t x))
106.0ms
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (* 2 x) (+ y z))
50.0ms
(+ (* (* 2 x) (+ y z)) (* t x))
82.0ms
(+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))

simplify1.8s

Counts
58 → 58
Iterations

Useful iterations: 2 (493.0ms)

IterNodesCost
0110899
1361802
22502738
done5000738

prune306.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
0.5b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.5b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
0.5b
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

rewrite730.0ms

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:
516.0ms
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
82.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
66.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
63.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

series3.1s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))) (cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x)))))
637.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
703.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))
694.0ms
(cbrt (+ (* y 5.0) (+ (* (* 2 x) (+ y z)) (* t x))))

simplify883.0ms

Counts
99 → 99
Iterations

Useful iterations: done (877.0ms)

IterNodesCost
01523926
13873639
214563399
done50002791

prune928.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.5b
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
37×add-sqr-sqrt
30×cbrt-div
19×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 swap-sqr associate-*r* associate-*l* flip-+ unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
18.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
28.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
25.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
231.0ms
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

series1.7s

Counts
4 → 12
Calls
4 calls:
395.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
371.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
380.0ms
(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
597.0ms
(* (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))))

simplify912.0ms

Counts
113 → 113
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
01964481
14484250
215114032
done50003557

prune1.1s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes500.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01315
12015
done2015

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s10567×body80valid
27.0ms103×body1280valid
19.0ms84×body640valid
9.0ms60×body320valid
3.0ms27×body160valid