Details

Time bar (total: 19.1s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (915.0ms)

IterNodesCost
01317
12517
25917
313217
435317
575015
6401413
done500013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
0.0b
(- (/ (* z 2.0) y) (/ t z))
0.4b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
26×*-un-lft-identity
24×times-frac
14×add-cube-cbrt
12×difference-of-squares
7×add-log-exp
6×associate-/r* distribute-lft-out--
5×add-exp-log add-cbrt-cube
3×pow1 flip3-- associate-/r/ flip-- associate-/l*
2×sub-neg diff-log frac-sub
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 73
Calls
3 calls:
41.0ms
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
12.0ms
(- (/ (* z 2.0) y) (/ t z))
21.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series87.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- x (/ 2.0 (- (/ (* z 2.0) y) (/ t z))))
32.0ms
(- (/ (* z 2.0) y) (/ t z))
25.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify964.0ms

Counts
82 → 82
Iterations

Useful iterations: done (961.0ms)

IterNodesCost
01311458
12671401
27111335
323611333
done50001332

prune205.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.0b
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
0.4b
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
0.6b
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
588×times-frac
514×add-sqr-sqrt
342×*-un-lft-identity
275×sqrt-prod
240×add-cube-cbrt
107×difference-of-squares
51×distribute-lft-out--
46×associate-/r*
12×associate-/l*
11×add-exp-log add-cbrt-cube
9×div-inv
8×add-log-exp
4×pow1 cbrt-undiv div-exp
3×flip3-- flip-- associate-/l/
2×sub-neg frac-2neg diff-log clear-num frac-sub
1×div-sub associate-/r/
Counts
4 → 401
Calls
4 calls:
17.0ms
(- (/ (* z 2.0) y) (/ t z))
112.0ms
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
37.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
33.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ (* z 2.0) y) (/ t z))
95.0ms
(- x (/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))))
131.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
101.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

simplify1.5s

Counts
413 → 413
Iterations

Useful iterations: 2 (742.0ms)

IterNodesCost
044112110
1101011243
2375610493
done500110493

prune660.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))))
0.2b
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
0.3b
(* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
0.4b
(/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
2305×times-frac
1824×add-sqr-sqrt
1416×sqrt-prod
1281×*-un-lft-identity
919×add-cube-cbrt
726×cbrt-prod
527×associate-*r*
362×difference-of-squares
181×distribute-lft-out--
67×associate-/r*
47×add-exp-log
36×add-cbrt-cube
22×div-inv
18×prod-exp cbrt-unprod
15×associate-/l*
13×pow1 cbrt-undiv div-exp
6×pow-prod-down add-log-exp
3×associate-/l/
2×flip3-- frac-2neg clear-num associate-/r/ flip--
1×sub-neg diff-log div-sub associate-*r/ associate-*l* *-commutative frac-sub
Counts
4 → 1259
Calls
4 calls:
2.0ms
(- x (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))))
36.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
205.0ms
(* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
45.0ms
(/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

series928.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- x (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))))
378.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
109.0ms
(* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
332.0ms
(/ (sqrt (sqrt 2.0)) (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

simplify2.4s

Counts
1271 → 1271
Iterations

Useful iterations: 1 (1.9s)

IterNodesCost
0103843813
1324639817
done500039817

prune2.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.2b
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
0.2b
(* (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
0.4b
(/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
854×times-frac
719×add-sqr-sqrt
497×*-un-lft-identity
349×add-cube-cbrt
294×cbrt-prod
179×associate-*r*
148×difference-of-squares
147×sqrt-prod
135×add-exp-log
74×distribute-lft-out--
70×prod-exp
67×associate-/r*
53×add-cbrt-cube
36×div-exp
30×cbrt-unprod
19×pow1
16×cbrt-undiv
10×rec-exp 1-exp pow-prod-down div-inv
9×associate-/l*
6×add-log-exp
3×associate-/l/
2×flip3-- frac-2neg clear-num associate-/r/ frac-sub flip--
1×sub-neg pow-flip diff-log div-sub associate-*r/ associate-*l* un-div-inv *-commutative inv-pow
Counts
4 → 591
Calls
4 calls:
12.0ms
(- (/ (* z 2.0) y) (/ t z))
38.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
314.0ms
(* (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
36.0ms
(/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

series713.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ (* z 2.0) y) (/ t z))
386.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))
112.0ms
(* (* (* (sqrt (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0)))))
185.0ms
(/ 1 (/ (- (/ (* z 2.0) y) (/ t z)) (cbrt (sqrt 2.0))))

simplify1.3s

Counts
603 → 603
Iterations

Useful iterations: done (1.3s)

IterNodesCost
060818796
1189216400
done500014708

prune1.3s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11213
done1213

end0.0ms

sample505.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid