Details

Time bar (total: 13.6s)

sample24.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.3s)

IterNodesCost
01317
12517
25917
313217
435317
575515
6272713
done500013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
1.0b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 flip3-- frac-sub flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 58
Calls
2 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
21.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series59.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (/ (* z 2.0) y) (/ t z))
26.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify2.9s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.0s)

IterNodesCost
01051103
12091081
25401019
315231017
446861012
done50001012

prune167.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
0.3b
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
1.1b
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
578×times-frac
489×add-sqr-sqrt
339×*-un-lft-identity
270×sqrt-prod
239×add-cube-cbrt
100×difference-of-squares
50×distribute-lft-out--
46×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
9×div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 associate-/l/
2×flip3-- frac-2neg clear-num frac-sub flip--
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 381
Calls
3 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
32.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
33.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

series270.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- (/ (* z 2.0) y) (/ t z))
136.0ms
(/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0))
104.0ms
(/ (sqrt 2.0) (/ (- (/ (* z 2.0) y) (/ t z)) (sqrt 2.0)))

simplify2.6s

Counts
390 → 390
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
041311447
194710725
2340210005
done500010005

prune598.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))
17.0b
(cbrt (- (/ (* z 2.0) y) (/ t z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
52×add-sqr-sqrt
43×*-un-lft-identity
37×add-cube-cbrt
24×sqrt-prod
18×cbrt-prod
13×add-exp-log
11×add-cbrt-cube
9×cbrt-div
8×div-inv
7×associate-/r*
6×associate-/l* difference-of-squares
5×cbrt-undiv div-exp
4×pow1 add-log-exp
3×flip3-- pow1/3 frac-sub flip-- distribute-lft-out--
1×frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod
Counts
4 → 123
Calls
4 calls:
28.0ms
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
9.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
9.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
9.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(/ (sqrt 2.0) (/ (* (cbrt (- (/ (* z 2.0) y) (/ t z))) (cbrt (- (/ (* z 2.0) y) (/ t z)))) (fabs (cbrt 2.0))))
107.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
107.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))
110.0ms
(cbrt (- (/ (* z 2.0) y) (/ t z)))

simplify903.0ms

Counts
135 → 135
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
02334213
15144072
214853830
done50003822

prune593.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* (* z 2.0) z) (* y t))
18.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
6.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* (* z 2.0) z) (* y t))
186.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify725.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
090800
1263785
21194647
done5000647

prune94.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b 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

sample518.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid