Details

Time bar (total: 19.5s)

sample54.0ms

Algorithm
intervals
Results
27.0ms359×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize28.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
10.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite110.0ms

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×expm1-log1p-u times-frac associate-*r* pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
36.0ms
(* (* z 9.0) t)
19.0ms
(- (* x y) (* (* z 9.0) t))
52.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series234.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(* (* z 9.0) t)
86.0ms
(- (* x y) (* (* z 9.0) t))
111.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (308.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune396.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.1b

localize26.0ms

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))
6.0b
(/ (* x y) a)
8.5b
(/ (* t z) a)

rewrite105.0ms

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/
4×expm1-log1p-u log1p-expm1-u
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 93
Calls
4 calls:
37.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
41.0ms
(* 4.5 (/ (* t z) a))
11.0ms
(/ (* x y) a)
12.0ms
(/ (* t z) a)

series345.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
56.0ms
(* 4.5 (/ (* t z) a))
43.0ms
(/ (* x y) a)
44.0ms
(/ (* t z) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
01571165
13991114
21475975
done5000975

prune410.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize18.0ms

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)))
6.0b
(/ t (/ a z))
6.0b
(/ (* x y) a)

rewrite128.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip--
Counts
4 → 180
Calls
4 calls:
21.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
47.0ms
(* 4.5 (/ t (/ a z)))
19.0ms
(/ t (/ a z))
20.0ms
(/ (* x y) a)

series312.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
52.0ms
(* 4.5 (/ t (/ a z)))
29.0ms
(/ t (/ a z))
44.0ms
(/ (* x y) a)

simplify1.8s

Counts
192 → 192
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03012310
17152133
224241990
done50011984

prune943.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ x (/ a y))
6.0b
(/ t (/ a z))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
219×times-frac
133×add-sqr-sqrt
124×add-cube-cbrt *-un-lft-identity
44×associate-*r*
26×associate-/r*
23×add-exp-log add-cbrt-cube
14×div-inv
9×cbrt-undiv div-exp
6×pow1 associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-*r/ associate-*l* prod-exp associate-/r/ cbrt-unprod unswap-sqr
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down *-commutative frac-sub flip--
Counts
4 → 229
Calls
4 calls:
26.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
55.0ms
(* 4.5 (/ t (/ a z)))
18.0ms
(/ x (/ a y))
11.0ms
(/ t (/ a z))

series278.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
68.0ms
(* 4.5 (/ t (/ a z)))
29.0ms
(/ x (/ a y))
33.0ms
(/ t (/ a z))

simplify2.9s

Counts
241 → 241
Iterations

Useful iterations: done (2.9s)

IterNodesCost
03992992
19112755
230022602
done50012597

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes1.1s

Accuracy

85.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.0b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03469
14569
done4569

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s11096×body80valid