Details

Time bar (total: 13.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1119
2149
done149

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize7.0ms

Local error

Found 1 expressions with local error:

7.1b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite55.0ms

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:
53.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.6s

Counts
53 → 53
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
095835
1209812
2679776
33135776
done5000776

prune158.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1 (- 1.0 (/ y z)))
6.7b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite133.0ms

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:
24.0ms
(/ 1 (- 1.0 (/ y z)))
105.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series165.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 1 (- 1.0 (/ y z)))
93.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify1.4s

Counts
103 → 103
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01431364
13701205
217991048
done50011046

prune326.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite140.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
49.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
66.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series270.0ms

Counts
2 → 6
Calls
2 calls:
194.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
76.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.5s

Counts
201 → 201
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02454021
16583530
233253414
done50013359

prune424.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b
(/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))
7.4b
(cbrt (- 1.0 (/ y z)))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
1402×times-frac
803×*-un-lft-identity
716×add-sqr-sqrt
522×cbrt-div
402×cbrt-prod
381×add-cube-cbrt
377×associate-/r/
261×flip3-- flip--
172×frac-times
144×distribute-lft-out
134×difference-of-squares
86×associate-*r/ associate-*l/
67×distribute-lft-out--
60×div-inv
49×add-exp-log
42×associate-/r*
29×div-exp
18×add-cbrt-cube
16×flip3-+ flip-+
15×associate-/l*
13×cbrt-undiv
6×prod-exp
4×pow1 rec-exp 1-exp add-log-exp
3×pow1/3
2×cbrt-unprod
1×frac-2neg clear-num associate-/l/
Counts
4 → 767
Calls
4 calls:
177.0ms
(/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
15.0ms
(cbrt (- 1.0 (/ y z)))
15.0ms
(cbrt (- 1.0 (/ y z)))
9.0ms
(cbrt (- 1.0 (/ y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (cbrt (- 1.0 (/ y z))) (+ x y)))
315.0ms
(cbrt (- 1.0 (/ y z)))
370.0ms
(cbrt (- 1.0 (/ y z)))
438.0ms
(cbrt (- 1.0 (/ y z)))

simplify2.3s

Counts
779 → 779
Iterations

Useful iterations: done (2.2s)

IterNodesCost
094040006
1340637450
done500036591

prune2.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 4.5b

regimes138.0ms

Accuracy

0% (2.0b remaining)

Error of 7.5b against oracle of 5.5b and baseline of 7.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11411
done1411

end0.0ms

sample824.0ms

Algorithm
intervals
Results
400.0ms7999×body80valid
0.0ms1×body640valid