Details

Time bar (total: 20.2s)

sample55.0ms

Algorithm
intervals
Results
24.0ms278×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.9b
(/ (- x (* y z)) (- t (* a z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
6.0ms
(- t (* a z))
6.0ms
(- x (* y z))
37.0ms
(/ (- x (* y z)) (- t (* a z)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- t (* a z))
38.0ms
(- x (* y z))
88.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.0s

Counts
65 → 65
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
096852
1252829
2779765
32570765
done5001765

prune204.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.9b
(/ x (- t (* a z)))
3.6b
(* y (/ z (- t (* a z))))
8.6b
(/ z (- t (* a z)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
85.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
10.0ms
(/ x (- t (* a z)))
30.0ms
(* y (/ z (- t (* a z))))
16.0ms
(/ z (- t (* a z)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
62.0ms
(/ x (- t (* a z)))
72.0ms
(* y (/ z (- t (* a z))))
93.0ms
(/ z (- t (* a z)))

simplify2.2s

Counts
118 → 118
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01591582
13661504
210111386
331241386
done50011314

prune435.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
1.9b
(/ x (- t (* a z)))
3.5b
(/ y (- (/ t z) a))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
38×times-frac
35×*-un-lft-identity
23×add-cube-cbrt
18×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l* distribute-lft-out--
4×pow1 unpow-prod-down flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv sqr-pow
Counts
4 → 106
Calls
4 calls:
22.0ms
(- (/ t z) a)
139.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
16.0ms
(/ x (- t (* a z)))
45.0ms
(/ y (- (/ t z) a))

series264.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (/ t z) a)
126.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
61.0ms
(/ x (- t (* a z)))
52.0ms
(/ y (- (/ t z) a))

simplify1.6s

Counts
118 → 118
Iterations

Useful iterations: 3 (580.0ms)

IterNodesCost
01941791
13871645
29151573
324441565
done50011565

prune419.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize22.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ y (- (/ t z) a))
18.9b
(cbrt (/ x (- t (* a z))))
18.9b
(cbrt (/ x (- t (* a z))))
18.9b
(cbrt (/ x (- t (* a z))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
49×times-frac
45×cbrt-prod
44×*-un-lft-identity
36×add-cube-cbrt
8×associate-/r/ difference-of-squares
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1 flip3-- flip-- div-inv distribute-lft-out-- add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 113
Calls
4 calls:
38.0ms
(/ y (- (/ t z) a))
5.0ms
(cbrt (/ x (- t (* a z))))
5.0ms
(cbrt (/ x (- t (* a z))))
5.0ms
(cbrt (/ x (- t (* a z))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ y (- (/ t z) a))
127.0ms
(cbrt (/ x (- t (* a z))))
129.0ms
(cbrt (/ x (- t (* a z))))
141.0ms
(cbrt (/ x (- t (* a z))))

simplify2.7s

Counts
125 → 125
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01821876
13281817
27321738
316801717
439821689
done50001683

prune698.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

regimes291.0ms

Accuracy

86.5% (0.3b remaining)

Error of 1.6b against oracle of 1.3b and baseline of 3.3b

bsearch150.0ms

Steps
ItersRangePoint
9
1.6732550023154002e+25
3.3351947746546834e+30
5.665905765776417e+25
8
-0.0004704452395047321
-1.5977204101010247e-06
-0.00046651056408575

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02799
13662
done3662

end0.0ms

sample1.5s

Algorithm
intervals
Results
484.0ms8723×body80valid