Details

Time bar (total: 16.0s)

sample38.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite70.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
66.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series82.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.2s

Counts
53 → 53
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
095835
1209812
2679776
33135776
done5000776

prune316.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (- 1.0 (/ y z)))
7.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite159.0ms

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 frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ 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 → 97
Calls
2 calls:
39.0ms
(/ 1 (- 1.0 (/ y z)))
112.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series169.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ 1 (- 1.0 (/ y z)))
88.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.1s

Counts
103 → 103
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01431364
13701205
217991048
done50011046

prune541.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize27.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

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 flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
73.0ms
(/ (+ y x) (- 1.0 (/ y z)))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(/ (+ y x) (- 1.0 (/ y z)))

simplify2.2s

Counts
53 → 53
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
095835
1209812
2679776
33131776
done5001776

prune330.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))
7.9b
(cbrt (- 1.0 (/ y z)))

rewrite270.0ms

Algorithm
rewrite-expression-head
Rules
824×times-frac
703×add-sqr-sqrt
625×*-un-lft-identity
516×cbrt-prod
273×add-cube-cbrt
172×difference-of-squares
90×distribute-lft-out
86×distribute-lft-out--
42×associate-/l*
28×cbrt-div
22×associate-/r/
14×flip3-- flip--
11×div-inv
9×add-exp-log associate-/r*
6×add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 494
Calls
4 calls:
140.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
14.0ms
(cbrt (- 1.0 (/ y z)))
14.0ms
(cbrt (- 1.0 (/ y z)))
14.0ms
(cbrt (- 1.0 (/ y z)))

series1.9s

Counts
4 → 12
Calls
4 calls:
364.0ms
(/ (/ (+ x y) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z))))
501.0ms
(cbrt (- 1.0 (/ y z)))
532.0ms
(cbrt (- 1.0 (/ y z)))
465.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.1s

Counts
506 → 506
Iterations

Useful iterations: done (1.0s)

IterNodesCost
055117028
1130216281
done500016096

prune3.0s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

regimes338.0ms

Accuracy

0% (1.9b remaining)

Error of 7.7b against oracle of 5.9b and baseline of 7.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1139
done139

end0.0ms

sample994.0ms

Algorithm
intervals
Results
459.0ms8000×body80valid