Details

Time bar (total: 17.6s)

sample39.0ms

Algorithm
intervals
Results
16.0ms350×body80valid

simplify5.8s

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: 1.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ x y) (- z t)) t)
6.9b
(* (/ x y) (- z t))

rewrite60.0ms

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:
17.0ms
(+ (* (/ x y) (- z t)) t)
41.0ms
(* (/ x y) (- z t))

series148.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* (/ x y) (- z t)) t)
83.0ms
(* (/ x y) (- z t))

simplify3.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0120727
1314701
2980625
33598619
done5001619

prune163.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* t (/ x y)))
0.0b
(+ (* z (/ x y)) (- t (* t (/ x y))))
4.0b
(* z (/ x y))
5.2b
(* t (/ x y))

rewrite61.0ms

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)))
24.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
15.0ms
(* z (/ x y))
14.0ms
(* t (/ x y))

series159.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- t (* t (/ x y)))
55.0ms
(+ (* z (/ x y)) (- t (* t (/ x y))))
29.0ms
(* z (/ x y))
30.0ms
(* t (/ x y))

simplify1.1s

Counts
105 → 105
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561165
14181063
21378941
done5000917

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ t (/ (- z t) (/ y x)))
7.2b
(/ (- z t) (/ y x))

rewrite73.0ms

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:
40.0ms
(+ t (/ (- z t) (/ y x)))
25.0ms
(/ (- z t) (/ y x))

series90.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ t (/ (- z t) (/ y x)))
49.0ms
(/ (- z t) (/ y x))

simplify1.1s

Counts
120 → 120
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02171896
15931770
218521680
done50001678

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (* (/ x y) (- z t)))
6.9b
(* (/ x y) (- z t))
6.9b
(* (/ x y) (- z t))
6.9b
(* (/ x y) (- z t))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
39×associate-*l*
34×*-un-lft-identity
30×times-frac
28×add-cube-cbrt
19×add-exp-log add-cbrt-cube
15×associate-*r*
10×pow1
8×frac-times flip3-- associate-*r/ flip--
6×distribute-rgt-in sub-neg distribute-lft-in prod-exp cbrt-unprod unswap-sqr
5×cbrt-div
4×associate-*l/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares
1×cbrt-prod pow1/3
Counts
4 → 140
Calls
4 calls:
20.0ms
(cbrt (* (/ x y) (- z t)))
38.0ms
(* (/ x y) (- z t))
49.0ms
(* (/ x y) (- z t))
41.0ms
(* (/ x y) (- z t))

series372.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(cbrt (* (/ x y) (- z t)))
62.0ms
(* (/ x y) (- z t))
76.0ms
(* (/ x y) (- z t))
63.0ms
(* (/ x y) (- z t))

simplify3.0s

Counts
152 → 152
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01431662
13361628
210281442
335231433
done50011416

prune506.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11213
done1213

end0.0ms

sample1.1s

Algorithm
intervals
Results
545.0ms10696×body80valid