Details

Time bar (total: 18.3s)

sample35.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize16.0ms

Local error

Found 1 expressions with local error:

8.8b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite48.0ms

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:
44.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series107.0ms

Counts
1 → 3
Calls
1 calls:
107.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify4.0s

Counts
55 → 55
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
097855
1209831
2558795
31461795
44342794
done5000794

prune181.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize10.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ 1 (- 1.0 (/ y z)))
7.6b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite135.0ms

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:
39.0ms
(/ 1 (- 1.0 (/ y z)))
91.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series171.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ 1 (- 1.0 (/ y z)))
89.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify3.5s

Counts
107 → 107
Iterations

Useful iterations: 2 (227.0ms)

IterNodesCost
01471404
13451179
29981081
329561081
done50001081

prune326.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 6.9b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (- 1.0 (/ y z)))
1.0b
(/ 1 (- 1.0 (/ y z)))
7.3b
(sqrt (/ 1 (- 1.0 (/ y z))))
7.3b
(sqrt (/ 1 (- 1.0 (/ y z))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
124×add-sqr-sqrt
90×times-frac
76×*-un-lft-identity
48×sqrt-prod
46×add-cube-cbrt
28×difference-of-squares
14×distribute-lft-out--
12×add-exp-log associate-/r*
10×pow1
8×associate-/r/ add-cbrt-cube
6×rem-sqrt-square sqrt-pow1 associate-/l*
4×expm1-log1p-u flip3-- pow-flip div-exp flip-- log1p-expm1-u div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 176
Calls
4 calls:
24.0ms
(/ 1 (- 1.0 (/ y z)))
25.0ms
(/ 1 (- 1.0 (/ y z)))
42.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
24.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

series679.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ 1 (- 1.0 (/ y z)))
105.0ms
(/ 1 (- 1.0 (/ y z)))
224.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))
255.0ms
(sqrt (/ 1 (- 1.0 (/ y z))))

simplify2.9s

Counts
188 → 188
Iterations

Useful iterations: 4 (798.0ms)

IterNodesCost
01342424
12212080
23801978
37561978
417511976
done50001976

prune643.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 6.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
0.1b
(/ 1 (sqrt (- 1.0 (/ y z))))
5.0b
(sqrt (- 1.0 (/ y z)))
5.0b
(sqrt (- 1.0 (/ y z)))

rewrite220.0ms

Algorithm
rewrite-expression-head
Rules
101×add-sqr-sqrt
86×*-un-lft-identity
74×times-frac
66×sqrt-prod
44×add-cube-cbrt
22×difference-of-squares
18×associate-/r*
11×distribute-lft-out--
10×add-exp-log distribute-lft-out
8×pow1 sqrt-div add-cbrt-cube
7×associate-/l*
4×expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u add-log-exp
3×pow-flip sqrt-pow1 pow1/2 div-exp
2×cbrt-undiv rem-sqrt-square frac-2neg clear-num div-inv associate-/l/
1×rec-exp flip3-+ 1-exp flip-+ inv-pow
Counts
4 → 168
Calls
4 calls:
81.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
52.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
39.0ms
(sqrt (- 1.0 (/ y z)))
37.0ms
(sqrt (- 1.0 (/ y z)))

series692.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(/ (+ x y) (sqrt (- 1.0 (/ y z))))
286.0ms
(/ 1 (sqrt (- 1.0 (/ y z))))
137.0ms
(sqrt (- 1.0 (/ y z)))
135.0ms
(sqrt (- 1.0 (/ y z)))

simplify2.8s

Counts
180 → 180
Iterations

Useful iterations: 3 (866.0ms)

IterNodesCost
02072696
13952397
28722311
320022305
done50002305

prune616.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 6.9b

regimes158.0ms

Accuracy

62.4% (0.7b remaining)

Error of 6.7b against oracle of 6.0b and baseline of 7.8b

bsearch3.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02263
12755
done2755

end0.0ms

sample874.0ms

Algorithm
intervals
Results
471.0ms7999×body80valid
0.0ms1×body1280valid