Details

Time bar (total: 14.2s)

sample67.0ms

Algorithm
intervals
Results
32.0ms361×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* (* z 9.0) t))
0.3b
(* (* z 9.0) t)
5.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite95.0ms

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:
13.0ms
(- (* x y) (* (* z 9.0) t))
39.0ms
(* (* z 9.0) t)
40.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series198.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- (* x y) (* (* z 9.0) t))
32.0ms
(* (* z 9.0) t)
97.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
0116858
1324827
21253711
done5001711

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.7b

localize14.0ms

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))
5.4b
(/ (* x y) a)
5.5b
(/ (* t z) a)

rewrite88.0ms

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:
24.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
28.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ (* x y) a)
11.0ms
(/ (* t z) a)

series270.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
33.0ms
(* 4.5 (/ (* t z) a))
29.0ms
(/ (* x y) a)
32.0ms
(/ (* t z) a)

simplify1.4s

Counts
95 → 95
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
01441055
13751008
21413874
done5000874

prune365.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
5.9b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite86.0ms

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:
32.0ms
(* z (* 9.0 t))
15.0ms
(- (* x y) (* z (* 9.0 t)))
36.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series204.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* z (* 9.0 t))
69.0ms
(- (* x y) (* z (* 9.0 t)))
110.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: 2 (221.0ms)

IterNodesCost
0114855
1316826
21232710
done5000710

prune244.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
5.9b
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
13×prod-exp
10×pow1
9×add-sqr-sqrt
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×flip3-- times-frac flip--
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative
1×sub-neg diff-log associate-*r/ un-div-inv div-inv unswap-sqr
Counts
3 → 66
Calls
3 calls:
18.0ms
(* z (* 9.0 t))
9.0ms
(- (* x y) (* z (* 9.0 t)))
67.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series186.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* z (* 9.0 t))
77.0ms
(- (* x y) (* z (* 9.0 t)))
89.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: 2 (232.0ms)

IterNodesCost
01421144
13661037
21344881
done5001881

prune265.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

regimes1.3s

Accuracy

20.7% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 7.5b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04699
16099
done6099

end0.0ms

sample1.6s

Algorithm
intervals
Results
785.0ms11154×body80valid