Details

Time bar (total: 15.8s)

sample37.0ms

Algorithm
intervals
Results
16.0ms352×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
14.0ms
(- (* x y) (* (* z 9.0) t))
35.0ms
(* (* z 9.0) t)
33.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series174.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (* x y) (* (* z 9.0) t))
21.0ms
(* (* z 9.0) t)
76.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts
63 → 63
Iterations

Useful iterations: 2 (250.0ms)

IterNodesCost
0116858
1324827
21253711
done5001711

prune215.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.2b
(* z (* 9.0 t))
6.4b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
17.0ms
(- (* x y) (* z (* 9.0 t)))
25.0ms
(* z (* 9.0 t))
36.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series222.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(- (* x y) (* z (* 9.0 t)))
20.0ms
(* z (* 9.0 t))
109.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.7s

Counts
63 → 63
Iterations

Useful iterations: 2 (597.0ms)

IterNodesCost
0114855
1316826
21231710
done5000710

prune199.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.5b
(/ (* t z) a)
5.4b
(/ (* x y) a)

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
29.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series295.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
54.0ms
(* 4.5 (/ (* t z) a))
44.0ms
(/ (* t z) a)
36.0ms
(/ (* x y) a)

simplify1.3s

Counts
95 → 95
Iterations

Useful iterations: 2 (242.0ms)

IterNodesCost
01441055
13751008
21415874
done5001874

prune321.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.2b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
4.5b
(/ (* t z) a)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
55.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
10.0ms
(/ (* t z) a)

series760.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(cbrt a)
302.0ms
(cbrt a)
72.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
34.0ms
(/ (* t z) a)

simplify1.8s

Counts
114 → 114
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01811334
15001275
22069957
done5000869

prune475.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes974.0ms

Accuracy

45% (4.1b remaining)

Error of 4.3b against oracle of 0.2b and baseline of 7.6b

bsearch2.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
055139
169139
done69139

end0.0ms

sample1.6s

Algorithm
intervals
Results
799.0ms11101×body80valid