Details

Time bar (total: 18.3s)

sample48.0ms

Algorithm
intervals
Results
20.0ms352×body80valid

simplify4.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite93.0ms

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:
26.0ms
(- (* x y) (* (* z 9.0) t))
30.0ms
(* (* z 9.0) t)
33.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series249.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (* x y) (* (* z 9.0) t))
45.0ms
(* (* z 9.0) t)
116.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: 2 (332.0ms)

IterNodesCost
0127944
1344906
21429787
done5001787

prune309.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z (* 9.0 t)))
0.2b
(* z (* 9.0 t))
6.4b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite68.0ms

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:
10.0ms
(- (* x y) (* z (* 9.0 t)))
17.0ms
(* z (* 9.0 t))
38.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series271.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(- (* x y) (* z (* 9.0 t)))
22.0ms
(* z (* 9.0 t))
146.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (293.0ms)

IterNodesCost
0125941
1339905
21298786
done5000786

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma x y (- (* z (* 9.0 t))))
0.2b
(* z (* 9.0 t))
6.4b
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×expm1-log1p-u times-frac associate-*l* pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp
1×frac-2neg associate-*r* clear-num associate-/r* *-commutative fma-udef div-inv
Counts
3 → 53
Calls
3 calls:
1.0ms
(fma x y (- (* z (* 9.0 t))))
45.0ms
(* z (* 9.0 t))
10.0ms
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

series322.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(fma x y (- (* z (* 9.0 t))))
48.0ms
(* z (* 9.0 t))
143.0ms
(/ (fma x y (- (* z (* 9.0 t)))) (* a 2.0))

simplify2.7s

Counts
62 → 62
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0104763
1232757
2808631
33315631
done5000630

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.4b

localize16.0ms

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))
4.5b
(/ (* t z) a)
5.4b
(/ (* x y) a)

rewrite98.0ms

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:
30.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
32.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series350.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
70.0ms
(* 4.5 (/ (* t z) a))
46.0ms
(/ (* t z) a)
43.0ms
(/ (* x y) a)

simplify1.8s

Counts
105 → 105
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
01571165
13991114
21477975
done5000975

prune442.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.5b

regimes1.1s

Accuracy

46.4% (3.9b remaining)

Error of 4.3b against oracle of 0.4b and baseline of 7.6b

bsearch2.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
056139
174139
282139
done82139

end0.0ms

sample1.7s

Algorithm
intervals
Results
789.0ms11101×body80valid