Details

Time bar (total: 10.6s)

sample33.0ms

Algorithm
intervals
Results
14.0ms318×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4617
5827
6927
done927

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.5b
(/ (* x (- y z)) y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
21.0ms
(* x (- y z))
17.0ms
(/ (* x (- y z)) y)

series131.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* x (- y z))
74.0ms
(/ (* x (- y z)) y)

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
090481
1219457
2715399
33669399
done5000399

prune95.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
4.0b
(/ x (/ y (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
11.0ms
(/ y (- y z))
21.0ms
(/ x (/ y (- y z)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- y z))
51.0ms
(/ x (/ y (- y z)))

simplify1.2s

Counts
145 → 145
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02182050
14591914
216191842
done50001833

prune413.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (- y z))
0.2b
(/ 1 (/ (/ y (- y z)) x))
4.0b
(/ (/ y (- y z)) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
439×add-sqr-sqrt *-un-lft-identity
335×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×div-exp add-cbrt-cube
17×flip3-- flip--
10×cbrt-undiv
4×pow1
3×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 435
Calls
3 calls:
19.0ms
(/ y (- y z))
44.0ms
(/ 1 (/ (/ y (- y z)) x))
30.0ms
(/ (/ y (- y z)) x)

series232.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ y (- y z))
65.0ms
(/ 1 (/ (/ y (- y z)) x))
99.0ms
(/ (/ y (- y z)) x)

simplify1.8s

Counts
444 → 444
Iterations

Useful iterations: done (1.8s)

IterNodesCost
05778467
113357371
226726527
done50016425

prune779.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
5.9b
(/ (* x z) y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×sub-neg flip3-- frac-2neg diff-log prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 35
Calls
2 calls:
11.0ms
(- x (/ (* x z) y))
16.0ms
(/ (* x z) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(- x (/ (* x z) y))
37.0ms
(/ (* x z) y)

simplify1.8s

Counts
41 → 41
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
071389
1163363
2519331
32575331
done5000331

prune79.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes87.0ms

Accuracy

21.3% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 3.0b

bsearch83.0ms

Steps
ItersRangePoint
9
7.263188613791645e-165
1.5592707620257122e-157
1.5245638983253773e-157
10
-2.643005844706785e-172
-8.55310128042087e-189
-2.580679840002735e-172

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01829
12029
done2029

end0.0ms

sample887.0ms

Algorithm
intervals
Results
426.0ms9593×body80valid