Details

Time bar (total: 13.7s)

sample48.0ms

Algorithm
intervals
Results
25.0ms351×body80valid

simplify3.7s

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: 9.3b

localize18.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (* z 9.0) t)
0.8b
(- (* x y) (* (* z 9.0) t))
8.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite83.0ms

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:
23.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
46.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series218.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (* z 9.0) t)
85.0ms
(- (* x y) (* (* z 9.0) t))
105.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts
63 → 63
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune238.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.8b
(- (* x y) (* 9.0 (* t z)))
8.4b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite84.0ms

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
(* 9.0 (* t z))
14.0ms
(- (* x y) (* 9.0 (* t z)))
36.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series212.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* 9.0 (* t z))
81.0ms
(- (* x y) (* 9.0 (* t z)))
105.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0111855
1309826
21152710
done5001710

prune176.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.6b

localize13.0ms

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))
6.3b
(/ (* t z) a)
7.2b
(/ (* x y) a)

rewrite71.0ms

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:
21.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
11.0ms
(/ (* t z) a)
17.0ms
(/ (* x y) a)

series269.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
44.0ms
(* 4.5 (/ (* t z) a))
33.0ms
(/ (* t z) a)
38.0ms
(/ (* x y) a)

simplify1.1s

Counts
95 → 95
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01441055
13751008
21415874
done5001874

prune233.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ t (/ a z))
7.2b
(/ (* x y) a)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
18.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
29.0ms
(* 4.5 (/ t (/ a z)))
15.0ms
(/ t (/ a z))
12.0ms
(/ (* x y) a)

series211.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
31.0ms
(* 4.5 (/ t (/ a z)))
24.0ms
(/ t (/ a z))
27.0ms
(/ (* x y) a)

simplify1.4s

Counts
182 → 182
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02882200
16902027
223601885
done50001883

prune663.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes426.0ms

Accuracy

44.5% (4.1b remaining)

Error of 4.2b against oracle of 0.0b and baseline of 7.5b

bsearch149.0ms

Steps
ItersRangePoint
9
3.237101006038418e+27
1.5468469115032484e+34
6.410488479949775e+28
7
-1.538788718343189e-99
-4.494716191071896e-101
-1.228510223266635e-99

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03358
14158
done4158

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s11105×body80valid