Details

Time bar (total: 16.2s)

sample29.0ms

Algorithm
intervals
Results
13.0ms353×body80valid

simplify41.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09165
116165
233165
345165
463165
567165
done67165

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.5b
(/ (- (* x y) (* z t)) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
2 → 42
Calls
2 calls:
6.0ms
(- (* x y) (* z t))
31.0ms
(/ (- (* x y) (* z t)) a)

series133.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- (* x y) (* z t))
76.0ms
(/ (- (* x y) (* z t)) a)

simplify2.4s

Counts
48 → 48
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
08012312
121011588
264311508
3237811508
done500011508

prune329.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.7b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* z t) a))
6.5b
(/ (* z t) a)
7.1b
(/ (* x y) a)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×associate-/r* times-frac
5×add-log-exp
4×cbrt-undiv div-exp div-inv
3×pow1
2×clear-num frac-2neg prod-exp cbrt-unprod associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
19.0ms
(- (/ (* x y) a) (/ (* z t) a))
15.0ms
(/ (* z t) a)
14.0ms
(/ (* x y) a)

series144.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(- (/ (* x y) a) (/ (* z t) a))
24.0ms
(/ (* z t) a)
22.0ms
(/ (* x y) a)

simplify1.9s

Counts
68 → 68
Iterations

Useful iterations: done (1.9s)

IterNodesCost
011413177
130212222
2112511862
done500011702

prune471.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* z t) a))
4.7b
(/ x (/ a y))
6.5b
(/ (* z t) a)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 difference-of-squares
2×clear-num frac-2neg
1×sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub cbrt-unprod flip-- distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
69.0ms
(- (/ x (/ a y)) (/ (* z t) a))
7.0ms
(/ x (/ a y))
8.0ms
(/ (* z t) a)

series137.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (/ x (/ a y)) (/ (* z t) a))
29.0ms
(/ x (/ a y))
21.0ms
(/ (* z t) a)

simplify2.1s

Counts
117 → 117
Iterations

Useful iterations: done (2.1s)

IterNodesCost
022231470
155429300
2177228330
done500228249

prune953.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.7b
(/ x (/ a y))
5.1b
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×*-un-lft-identity add-cube-cbrt
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(/ x (/ a y))
68.0ms
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))

series647.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt a)
266.0ms
(cbrt a)
47.0ms
(/ x (/ a y))
63.0ms
(* (/ z (* (cbrt a) (cbrt a))) (/ t (cbrt a)))

simplify2.5s

Counts
163 → 163
Iterations

Useful iterations: done (2.5s)

IterNodesCost
028348594
180244916
2304343583
done500139583

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.7s

Accuracy

69.6% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 7.1b

bsearch2.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
026907
133907
done33907

end0.0ms

sample1.2s

Algorithm
intervals
Results
569.0ms11069×body80valid