Details

Time bar (total: 11.5s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize6.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
097855
1209831
2529795
31432795
44032794
done5000794

prune113.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1 (- 1.0 (/ y z)))
8.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
16.0ms
(/ 1 (- 1.0 (/ y z)))
39.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series99.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 1 (- 1.0 (/ y z)))
51.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.5s

Counts
107 → 107
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01471404
13521231
210751081
331901081
done50011080

prune201.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.3b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
24.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
26.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series167.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify3.2s

Counts
205 → 205
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02494065
16003656
215833259
344253215
done50003213

prune285.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 7.1b

localize7.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ (+ y x) (- 1.0 (/ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
19.0ms
(/ (+ y x) (- 1.0 (/ y z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (+ y x) (- 1.0 (/ y z)))

simplify2.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
097855
1209831
2529795
31428795
44027794
done5001794

prune109.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 7.1b

regimes103.0ms

Accuracy

0% (1.9b remaining)

Error of 7.9b against oracle of 6.0b and baseline of 7.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
1149
done149

end0.0ms

sample367.0ms

Algorithm
intervals
Results
203.0ms7996×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid