Details

Time bar (total: 18.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms327×body80valid

simplify9.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2349
3779
41749
52589
63439
74219
86169
98599
1013919
1119839
1222379
1327659
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.8b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×*-un-lft-identity associate-*l*
6×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- 1.0 y) z)
8.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- 1.0 y) z)
54.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify1.5s

Counts
52 → 52
Iterations

Useful iterations: 3 (479.0ms)

IterNodesCost
093536
1212518
2720458
32781450
done5000450

prune105.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.0b
(* (* x z) (- y 1.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms
(* (* x z) (- y 1.0))

series120.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
53.0ms
(* (* x z) (- y 1.0))

simplify3.0s

Counts
47 → 47
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
090589
1255557
21009453
34867451
done5000451

prune95.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x (+ 1.0 (* z y))) (* (- 1.0) (* x z)))
4.8b
(* x (+ 1.0 (* z y)))

rewrite16.0ms

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×distribute-lft-neg-out distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(+ (* x (+ 1.0 (* z y))) (* (- 1.0) (* x z)))
10.0ms
(* x (+ 1.0 (* z y)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* x (+ 1.0 (* z y))) (* (- 1.0) (* x z)))
46.0ms
(* x (+ 1.0 (* z y)))

simplify539.0ms

Counts
43 → 43
Iterations

Useful iterations: done (538.0ms)

IterNodesCost
075581
1236534
2985458
done5000447

prune313.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (+ 1.0 (* z y))) (cbrt (+ 1.0 (* z y)))))
4.9b
(cbrt (+ 1.0 (* z y)))
4.9b
(cbrt (+ 1.0 (* z y)))
4.9b
(cbrt (+ 1.0 (* z y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
23.0ms
(* x (* (cbrt (+ 1.0 (* z y))) (cbrt (+ 1.0 (* z y)))))
2.0ms
(cbrt (+ 1.0 (* z y)))
2.0ms
(cbrt (+ 1.0 (* z y)))
2.0ms
(cbrt (+ 1.0 (* z y)))

series702.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(* x (* (cbrt (+ 1.0 (* z y))) (cbrt (+ 1.0 (* z y)))))
198.0ms
(cbrt (+ 1.0 (* z y)))
201.0ms
(cbrt (+ 1.0 (* z y)))
203.0ms
(cbrt (+ 1.0 (* z y)))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: 3 (429.0ms)

IterNodesCost
01331465
13481401
210091286
341221155
done50011155

prune271.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

93.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch82.0ms

Steps
ItersRangePoint
9
50024088429.266525
2.0577632696311228e+20
56035482213991.22
8
-3.6741568838568717e+55
-3.3408016468336044e+51
-3.5627093803727213e+52

simplify6.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02144
13534
23834
34534
done4534

end0.0ms

sample423.0ms

Algorithm
intervals
Results
229.0ms10179×body80valid