Details

Time bar (total: 11.9s)

sample38.0ms

Algorithm
intervals
Results
16.0ms315×body80valid

simplify294.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1139
2209
3349
4479
5559
6669
7879
81209
91499
101699
111809
121989
132079
done2079

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (- 1.0 x) z))
0.0b
(* (- 1.0 x) z)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
10.0ms
(+ (* x y) (* (- 1.0 x) z))
24.0ms
(* (- 1.0 x) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* x y) (* (- 1.0 x) z))
37.0ms
(* (- 1.0 x) z)

simplify2.1s

Counts
39 → 39
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
071405
1185379
2676345
33001345
done5001345

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(cbrt (- 1.0 x))
0.2b
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
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 → 101
Calls
4 calls:
4.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))
4.0ms
(cbrt (- 1.0 x))
46.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(cbrt (- 1.0 x))
115.0ms
(cbrt (- 1.0 x))
141.0ms
(cbrt (- 1.0 x))
135.0ms
(* (cbrt (- 1.0 x)) (cbrt (- 1.0 x)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01481569
13181431
27821360
318631241
done50001212

prune418.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (cbrt (- 1.0 x)))
0.2b
(cbrt (cbrt (- 1.0 x)))
0.2b
(* (cbrt (- 1.0 x)) (* (* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x)))) (cbrt (cbrt (- 1.0 x)))))
0.2b
(* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x))))

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
410×cbrt-div
140×frac-times
116×flip3-- flip--
109×cbrt-prod
54×add-sqr-sqrt
52×associate-*r/
46×associate-*l/
42×*-un-lft-identity
23×add-cube-cbrt
22×pow1
19×associate-*l*
18×pow1/3
15×add-exp-log
14×swap-sqr
12×associate-*r*
11×pow-prod-down
9×distribute-lft-out-- unswap-sqr
7×prod-exp pow-prod-up cbrt-unprod difference-of-squares
6×add-cbrt-cube
4×add-log-exp
3×pow-sqr
2×*-commutative
1×pow2 pow-plus
Counts
4 → 216
Calls
4 calls:
5.0ms
(cbrt (cbrt (- 1.0 x)))
8.0ms
(cbrt (cbrt (- 1.0 x)))
333.0ms
(* (cbrt (- 1.0 x)) (* (* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x)))) (cbrt (cbrt (- 1.0 x)))))
64.0ms
(* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (cbrt (- 1.0 x)))
107.0ms
(cbrt (cbrt (- 1.0 x)))
132.0ms
(* (cbrt (- 1.0 x)) (* (* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x)))) (cbrt (cbrt (- 1.0 x)))))
150.0ms
(* (cbrt (cbrt (- 1.0 x))) (cbrt (cbrt (- 1.0 x))))

simplify1.7s

Counts
228 → 228
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03816840
18846516
221935893
done50005645

prune974.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b
(* (- (* 1.0 1.0) (* x x)) z)
5.4b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
23.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
33.0ms
(* (- (* 1.0 1.0) (* x x)) z)
27.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series204.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
43.0ms
(* (- (* 1.0 1.0) (* x x)) z)
69.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.2s

Counts
68 → 68
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01221163
13651086
21521948
done5000764

prune218.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes102.0ms

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
089
1119
done119

end0.0ms

sample1.3s

Algorithm
intervals
Results
812.0ms10119×body80valid