Details

Time bar (total: 19.8s)

sample38.0ms

Algorithm
intervals
Results
15.0ms276×body80valid

simplify5.8s

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: 10.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
10.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- x (* y z))
25.0ms
(/ (- x (* y z)) (- t (* a z)))

series129.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- x (* y z))
76.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.9s

Counts
50 → 50
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
087724
1231706
2731652
32493652
done5001652

prune148.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.2b
(/ x (- t (* a z)))
2.6b
(* y (/ z (- t (* a z))))
8.5b
(/ z (- t (* a z)))

rewrite121.0ms

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:
66.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms
(/ x (- t (* a z)))
31.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ z (- t (* a z)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
60.0ms
(/ x (- t (* a z)))
65.0ms
(* y (/ z (- t (* a z))))
94.0ms
(/ z (- t (* a z)))

simplify2.2s

Counts
118 → 118
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01591582
13661504
210111386
331241386
done50011314

prune463.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize17.0ms

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))
2.2b
(/ x (- t (* a z)))
2.7b
(/ y (- (/ t z) a))

rewrite238.0ms

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:
18.0ms
(- (/ t z) a)
149.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
17.0ms
(/ x (- t (* a z)))
49.0ms
(/ y (- (/ t z) a))

series266.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(- (/ t z) a)
124.0ms
(- (/ x (- t (* a z))) (pow (/ y (- (/ t z) a)) 1))
60.0ms
(/ x (- t (* a z)))
46.0ms
(/ y (- (/ t z) a))

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: 3 (650.0ms)

IterNodesCost
01941791
13871645
29151573
324441565
done50011565

prune492.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize23.0ms

Local error

Found 4 expressions with local error:

2.7b
(/ y (- (/ t z) a))
16.5b
(cbrt (/ x (- t (* a z))))
16.5b
(cbrt (/ x (- t (* a z))))
16.5b
(cbrt (/ x (- t (* a z))))

rewrite69.0ms

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))
8.0ms
(cbrt (/ x (- t (* a z))))
8.0ms
(cbrt (/ x (- t (* a z))))
6.0ms
(cbrt (/ x (- t (* a z))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ y (- (/ t z) a))
148.0ms
(cbrt (/ x (- t (* a z))))
139.0ms
(cbrt (/ x (- t (* a z))))
160.0ms
(cbrt (/ x (- t (* a z))))

simplify2.8s

Counts
125 → 125
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01821876
13281817
27321738
316801717
439821689
done50001683

prune766.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

regimes294.0ms

Accuracy

71.7% (0.6b remaining)

Error of 1.9b against oracle of 1.4b and baseline of 3.4b

bsearch73.0ms

Steps
ItersRangePoint
5
3.0277485137767368e+53
6.5323484647118665e+53
3.0614054691620734e+53
8
-19147056015.956158
-15328712.36436241
-469735603.1488176

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02793
13556
done3556

end0.0ms

sample1.2s

Algorithm
intervals
Results
539.0ms8749×body80valid