Details

Time bar (total: 15.0s)

sample56.0ms

Algorithm
intervals
Results
23.0ms357×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
8.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite82.0ms

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:
26.0ms
(* (* z 9.0) t)
10.0ms
(- (* x y) (* (* z 9.0) t))
43.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series221.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* z 9.0) t)
97.0ms
(- (* x y) (* (* z 9.0) t))
93.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune192.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ (* t z) a))
5.0b
(/ (* t z) a)
6.9b
(/ (* x y) a)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
28.0ms
(* 0.5 (/ (* x y) a))
30.0ms
(* 4.5 (/ (* t z) a))
10.0ms
(/ (* t z) a)
10.0ms
(/ (* x y) a)

series117.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.5 (/ (* x y) a))
39.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
25.0ms
(/ (* x y) a)

simplify1.1s

Counts
108 → 108
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0146980
1368946
21365774
done5000774

prune342.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.2b
(* 4.5 (/ t (/ a z)))
4.8b
(/ t (/ a z))
6.9b
(/ (* x y) a)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
98×add-sqr-sqrt
87×add-cube-cbrt *-un-lft-identity
51×associate-*r*
32×add-exp-log add-cbrt-cube
16×associate-/r*
11×div-inv
10×cbrt-undiv div-exp
8×pow1 prod-exp cbrt-unprod
6×associate-*l*
4×associate-/l* add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num associate-/r/ *-commutative
Counts
4 → 184
Calls
4 calls:
20.0ms
(* 0.5 (/ (* x y) a))
33.0ms
(* 4.5 (/ t (/ a z)))
9.0ms
(/ t (/ a z))
10.0ms
(/ (* x y) a)

series111.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* 0.5 (/ (* x y) a))
33.0ms
(* 4.5 (/ t (/ a z)))
23.0ms
(/ t (/ a z))
26.0ms
(/ (* x y) a)

simplify1.7s

Counts
196 → 196
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02892134
16821974
223081792
done50001790

prune771.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* x 0.5) (/ y a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.8b
(/ t (/ a z))
5.4b
(* (* x 0.5) (/ y a))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
57×associate-*r*
30×add-exp-log add-cbrt-cube
13×associate-/r*
11×pow1
10×div-inv
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down
3×associate-/l* unswap-sqr
2×associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip--
Counts
4 → 182
Calls
4 calls:
35.0ms
(- (* (* x 0.5) (/ y a)) (* 4.5 (/ t (/ a z))))
46.0ms
(* 4.5 (/ t (/ a z)))
15.0ms
(/ t (/ a z))
30.0ms
(* (* x 0.5) (/ y a))

series263.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(- (* (* x 0.5) (/ y a)) (* 4.5 (/ t (/ a z))))
39.0ms
(* 4.5 (/ t (/ a z)))
32.0ms
(/ t (/ a z))
51.0ms
(* (* x 0.5) (/ y a))

simplify1.8s

Counts
194 → 194
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03152395
17842193
228092025
done50012023

prune743.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes462.0ms

Accuracy

50.5% (4.0b remaining)

Error of 4.0b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02959
14145
done4145

end1.0ms

sample1.5s

Algorithm
intervals
Results
721.0ms11236×body80valid