Details

Time bar (total: 21.4s)

sample54.0ms

Algorithm
intervals
Results
21.0ms359×body80valid

simplify6.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328913
477713
5168213
6227913
7244013
8245213
done245213

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
6.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite90.0ms

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:
11.0ms
(- (* x y) (* (* z 9.0) t))
29.0ms
(* (* z 9.0) t)
46.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series257.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (* x y) (* (* z 9.0) t))
41.0ms
(* (* z 9.0) t)
122.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: 2 (280.0ms)

IterNodesCost
0127944
1352906
21808787
done5001787

prune401.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.5b

localize21.0ms

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))
5.0b
(/ (* x y) a)
6.4b
(/ (* t z) a)

rewrite92.0ms

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:
36.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
26.0ms
(* 4.5 (/ (* t z) a))
10.0ms
(/ (* x y) a)
16.0ms
(/ (* t z) a)

series266.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
50.0ms
(* 4.5 (/ (* t z) a))
35.0ms
(/ (* x y) a)
26.0ms
(/ (* t z) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01571165
14331114
22269995
done5000979

prune636.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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))
5.0b
(/ (* x y) a)

rewrite93.0ms

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:
33.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
30.0ms
(* 4.5 (/ t (/ a z)))
9.0ms
(/ t (/ a z))
10.0ms
(/ (* x y) a)

series245.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
38.0ms
(* 4.5 (/ t (/ a z)))
37.0ms
(/ t (/ a z))
22.0ms
(/ (* x y) a)

simplify2.6s

Counts
192 → 192
Iterations

Useful iterations: done (2.6s)

IterNodesCost
03012310
18492175
242921994
done50011989

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
4.7b
(* (* 4.5 t) (/ z a))
5.0b
(/ (* x y) a)

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×pow1
7×prod-exp cbrt-unprod
5×associate-*r/ add-log-exp
4×cbrt-undiv div-exp
3×expm1-log1p-u pow-prod-down associate-/r* log1p-expm1-u
2×div-inv
1×sub-neg flip3-- frac-2neg fma-neg diff-log associate-*l* prod-diff clear-num *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 76
Calls
3 calls:
38.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
31.0ms
(* (* 4.5 t) (/ z a))
21.0ms
(/ (* x y) a)

series296.0ms

Counts
3 → 9
Calls
3 calls:
212.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
51.0ms
(* (* 4.5 t) (/ z a))
33.0ms
(/ (* x y) a)

simplify2.2s

Counts
85 → 85
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01601044
1468992
23142871
done5001867

prune436.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

38.6% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03361
14361
done4361

end0.0ms

sample1.7s

Algorithm
intervals
Results
790.0ms11065×body80valid