Details

Time bar (total: 19.9s)

sample26.0ms

Algorithm
intervals
Results
10.0ms329×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2319
3579
4899
51149
61339
71549
81909
92459
102739
113009
123419
133549
143709
153869
164739
175649
188129
1911389
2015689
2116519
2216569
done16569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
4.4b
(* (/ x y) (- z t))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+l+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
29.0ms
(+ (* (/ x y) (- z t)) t)
41.0ms
(* (/ x y) (- z t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (* (/ x y) (- z t)) t)
70.0ms
(* (/ x y) (- z t))

simplify3.1s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune216.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* t (/ x y)))
0.0b
(+ (* z (/ x y)) (- t (* t (/ x y))))
3.0b
(* t (/ x y))
3.5b
(* z (/ x y))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp pow-prod-down frac-add sum-log *-commutative flip-- div-inv
1×+-commutative associate-+r- flip3-+ flip-+
Counts
4 → 93
Calls
4 calls:
5.0ms
(- t (* t (/ x y)))
23.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
31.0ms
(* t (/ x y))
36.0ms
(* z (/ x y))

series194.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- t (* t (/ x y)))
64.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
45.0ms
(* t (/ x y))
37.0ms
(* z (/ x y))

simplify1.2s

Counts
105 → 105
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01561165
14181063
21378941
done5001917

prune331.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b
(* z (/ x y))
10.3b
(cbrt (/ x y))
10.3b
(cbrt (/ x y))
10.3b
(cbrt (/ x y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
38×add-sqr-sqrt
37×times-frac
33×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
6×pow1
4×div-inv add-log-exp
3×cbrt-div pow1/3 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative
Counts
4 → 98
Calls
4 calls:
26.0ms
(* z (/ x y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))
4.0ms
(cbrt (/ x y))

series326.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* z (/ x y))
81.0ms
(cbrt (/ x y))
89.0ms
(cbrt (/ x y))
117.0ms
(cbrt (/ x y))

simplify4.4s

Counts
110 → 110
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0121988
1231938
2570863
31481845
44564820
done5000817

prune408.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ t (/ (- z t) (/ y x)))
5.3b
(/ (- z t) (/ y x))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
58.0ms
(+ t (/ (- z t) (/ y x)))
29.0ms
(/ (- z t) (/ y x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ t (/ (- z t) (/ y x)))
48.0ms
(/ (- z t) (/ y x))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02171896
15931770
218521680
done50001678

prune310.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
done1213

end0.0ms

sample1.2s

Algorithm
intervals
Results
505.0ms10694×body80valid