Details

Time bar (total: 10.3s)

sample35.0ms

Algorithm
intervals
Results
15.0ms368×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
7.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite49.0ms

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:
17.0ms
(* (* z 9.0) t)
8.0ms
(- (* x y) (* (* z 9.0) t))
22.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series163.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (* z 9.0) t)
64.0ms
(- (* x y) (* (* z 9.0) t))
78.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune207.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize13.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
7.7b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite48.0ms

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-*l* 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-*r* prod-diff clear-num associate-/r* *-commutative div-inv
Counts
3 → 62
Calls
3 calls:
16.0ms
(* z (* 9.0 t))
9.0ms
(- (* x y) (* z (* 9.0 t)))
22.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series159.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* z (* 9.0 t))
60.0ms
(- (* x y) (* z (* 9.0 t)))
78.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify903.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0125941
1339905
21297786
done5001786

prune198.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* t z) 9.0)
0.3b
(- (* x y) (* (* t z) 9.0))
7.7b
(/ (- (* x y) (* (* t z) 9.0)) (* a 2.0))

rewrite50.0ms

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:
19.0ms
(* (* t z) 9.0)
8.0ms
(- (* x y) (* (* t z) 9.0))
22.0ms
(/ (- (* x y) (* (* t z) 9.0)) (* a 2.0))

series160.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(* (* t z) 9.0)
63.0ms
(- (* x y) (* (* t z) 9.0))
74.0ms
(/ (- (* x y) (* (* t z) 9.0)) (* a 2.0))

simplify991.0ms

Counts
71 → 71
Iterations

Useful iterations: 2 (181.0ms)

IterNodesCost
0125944
1337906
21356787
done5000787

prune196.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.9b

localize11.0ms

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
(/ (* t z) a)
6.7b
(/ (* x y) a)

rewrite58.0ms

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:
20.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
17.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(/ (* t z) a)
9.0ms
(/ (* x y) a)

series197.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

simplify869.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
01571165
13991114
21477975
done5000975

prune251.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.5b

regimes514.0ms

Accuracy

6.8% (6.6b remaining)

Error of 7.0b against oracle of 0.4b and baseline of 7.5b

bsearch120.0ms

Steps
ItersRangePoint
4
1.14188640951602e+144
2.2797593729061864e+144
1.744588462926387e+144
2
3.742612203784258e-160
4.153217708235953e-160
3.896589267953643e-160
3
-7.521788999171585e-169
-5.2582860659071054e-169
-6.801574407066787e-169
8
-9.306692211090254e+210
-4.365370703318289e+207
-4.643023004761993e+207

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04696
15696
done5696

end0.0ms

sample832.0ms

Algorithm
intervals
Results
366.0ms11138×body80valid