Details

Time bar (total: 22.8s)

sample57.0ms

Algorithm
intervals
Results
31.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 6 (764.0ms)

IterNodesCost
013325
126325
252325
3116285
4215285
5509285
61725245
done5003245

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ (* y t) (* z 2.0)))
0.0b
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
5.4b
(/ y (- z (/ (* y t) (* z 2.0))))
7.3b
(/ (* y t) (* z 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
102×*-un-lft-identity
78×prod-diff
72×add-cube-cbrt
65×times-frac
18×add-cbrt-cube add-exp-log
16×difference-of-squares
15×distribute-lft-out--
8×associate-/r/ div-inv add-log-exp
6×associate-/r* flip3-- fma-neg flip--
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 prod-exp cbrt-unprod log1p-expm1-u associate-/l*
2×clear-num sub-neg frac-2neg diff-log
Counts
4 → 179
Calls
4 calls:
10.0ms
(- z (/ (* y t) (* z 2.0)))
54.0ms
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
15.0ms
(/ y (- z (/ (* y t) (* z 2.0))))
13.0ms
(/ (* y t) (* z 2.0))

series427.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- z (/ (* y t) (* z 2.0)))
99.0ms
(- x (/ y (- z (/ (* y t) (* z 2.0)))))
220.0ms
(/ y (- z (/ (* y t) (* z 2.0))))
45.0ms
(/ (* y t) (* z 2.0))

simplify3.2s

Counts
191 → 191
Iterations

Useful iterations: done (3.1s)

IterNodesCost
0324107452
184199011
2301288639
done503383442

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- z (/ y (/ (* z 2.0) t)))
0.0b
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
4.2b
(/ y (/ (* z 2.0) t))
5.4b
(/ y (- z (/ y (/ (* z 2.0) t))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
230×add-sqr-sqrt
210×times-frac
185×*-un-lft-identity
155×add-cube-cbrt
150×prod-diff
30×difference-of-squares
21×div-inv
15×add-cbrt-cube add-exp-log distribute-lft-out--
13×associate-/r*
12×associate-/r/
8×add-log-exp
6×cbrt-undiv flip3-- fma-neg div-exp flip-- associate-/l*
4×expm1-log1p-u pow1 log1p-expm1-u
2×clear-num sub-neg frac-2neg diff-log
1×prod-exp cbrt-unprod
Counts
4 → 283
Calls
4 calls:
17.0ms
(- z (/ y (/ (* z 2.0) t)))
79.0ms
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
8.0ms
(/ y (/ (* z 2.0) t))
25.0ms
(/ y (- z (/ y (/ (* z 2.0) t))))

series464.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- z (/ y (/ (* z 2.0) t)))
102.0ms
(- x (/ y (- z (/ y (/ (* z 2.0) t)))))
37.0ms
(/ y (/ (* z 2.0) t))
271.0ms
(/ y (- z (/ y (/ (* z 2.0) t))))

simplify2.5s

Counts
295 → 295
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0552182994
11465171011
done5000153741

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
0.6b
(/ 1 (- z (/ y (/ (* z 2.0) t))))
4.2b
(/ y (/ (* z 2.0) t))
4.8b
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
78×times-frac
59×*-un-lft-identity
44×add-cube-cbrt
26×add-exp-log
24×associate-*r*
20×add-cbrt-cube
14×difference-of-squares
13×associate-/r*
9×div-exp
7×pow1 cbrt-undiv div-inv distribute-lft-out--
6×associate-/l* add-log-exp
5×prod-exp associate-/r/
4×expm1-log1p-u log1p-expm1-u
3×flip3-- fma-neg associate-*l* prod-diff cbrt-unprod flip-- unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp
1×sub-neg diff-log pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 166
Calls
4 calls:
4.0ms
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
26.0ms
(/ 1 (- z (/ y (/ (* z 2.0) t))))
8.0ms
(/ y (/ (* z 2.0) t))
60.0ms
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

series406.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- x (* y (/ 1 (- z (/ y (/ (* z 2.0) t))))))
52.0ms
(/ 1 (- z (/ y (/ (* z 2.0) t))))
40.0ms
(/ y (/ (* z 2.0) t))
208.0ms
(* y (/ 1 (- z (/ y (/ (* z 2.0) t)))))

simplify2.2s

Counts
178 → 178
Iterations

Useful iterations: done (2.2s)

IterNodesCost
026456106
164547720
2196246372
done500146129

prune972.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.6b
(- (* (* z 2.0) z) (* y t))
20.6b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×times-frac add-cbrt-cube add-exp-log
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×expm1-log1p-u pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×clear-num frac-2neg associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
58.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
19.0ms
(- (* (* z 2.0) z) (* y t))
36.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series561.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
73.0ms
(- (* (* z 2.0) z) (* y t))
315.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify3.6s

Counts
98 → 98
Iterations

Useful iterations: done (3.6s)

IterNodesCost
018855253
152450058
2188645965
done500144994

prune642.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
014326
119246
done19246

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid