Details

Time bar (total: 9.2s)

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: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ y z))
6.7b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
30×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×distribute-lft-out
6×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-exp clear-num flip-+ div-inv
Counts
2 → 65
Calls
2 calls:
9.0ms
(- 1.0 (/ y z))
18.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(- 1.0 (/ y z))
50.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify718.0ms

Counts
71 → 71
Iterations

Useful iterations: done (714.0ms)

IterNodesCost
01041002
1221974
2576928
31719928
done5001927

prune143.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (- 1.0 (/ y z)))
6.3b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
72×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
25×add-cube-cbrt
24×associate-*r*
16×add-exp-log difference-of-squares
10×add-cbrt-cube
8×distribute-lft-out--
6×pow1 associate-/r*
5×add-log-exp
4×div-exp associate-*l* prod-exp associate-/r/
3×flip3-- flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-+ 1-exp associate-*l/ cbrt-unprod flip-+ div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
3 → 112
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
12.0ms
(/ 1 (- 1.0 (/ y z)))
38.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series110.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(- 1.0 (/ y z))
45.0ms
(/ 1 (- 1.0 (/ y z)))
49.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.2s

Counts
121 → 121
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01521531
13661358
213021198
337151198
done50011197

prune209.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (/ y z))
0.3b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.7b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
200×add-sqr-sqrt
196×*-un-lft-identity
90×add-cube-cbrt
44×difference-of-squares
34×associate-/r*
31×distribute-lft-out
22×distribute-lft-out--
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
9×associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+ add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 210
Calls
3 calls:
6.0ms
(- 1.0 (/ y z))
21.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
21.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series183.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- 1.0 (/ y z))
123.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
44.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.4s

Counts
219 → 219
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
02544188
16253778
221263375
done50003375

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 4 expressions with local error:

6.7b
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
7.0b
(cbrt (- 1.0 (/ y z)))
7.0b
(cbrt (- 1.0 (/ y z)))
7.0b
(cbrt (- 1.0 (/ y z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×associate-/l/
24×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod
14×associate-*l/
13×add-exp-log
9×add-cube-cbrt add-cbrt-cube
8×associate-*r/
7×times-frac
6×difference-of-squares
4×pow1 associate-/r* add-log-exp
3×cbrt-undiv pow1/3 div-exp prod-exp cbrt-unprod distribute-lft-out--
2×associate-/r/ distribute-lft-out
1×frac-2neg flip3-+ clear-num flip-+ div-inv associate-/l*
Counts
4 → 101
Calls
4 calls:
71.0ms
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
5.0ms
(cbrt (- 1.0 (/ y z)))
5.0ms
(cbrt (- 1.0 (/ y z)))
6.0ms
(cbrt (- 1.0 (/ y z)))

series919.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ (* (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z)))) (cbrt (- 1.0 (/ y z)))) (+ x y))
292.0ms
(cbrt (- 1.0 (/ y z)))
294.0ms
(cbrt (- 1.0 (/ y z)))
291.0ms
(cbrt (- 1.0 (/ y z)))

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: 3 (391.0ms)

IterNodesCost
01492310
13592149
211131692
342611593
done50001593

prune355.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.6b

regimes117.0ms

Accuracy

0% (1.7b remaining)

Error of 7.4b against oracle of 5.7b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample364.0ms

Algorithm
intervals
Results
199.0ms8000×body80valid