Details

Time bar (total: 18.1s)

sample70.0ms

Algorithm
intervals
Results
29.0ms358×body80valid

simplify4.9s

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: 6.5b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
6.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite95.0ms

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:
9.0ms
(- (* x y) (* (* z 9.0) t))
35.0ms
(* (* z 9.0) t)
48.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series250.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(- (* x y) (* (* z 9.0) t))
38.0ms
(* (* z 9.0) t)
120.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
0127944
1344906
21429787
done5001787

prune412.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.2b

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))
3.6b
(/ (* x y) a)
5.0b
(/ (* t z) a)

rewrite72.0ms

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:
25.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
12.0ms
(/ (* x y) a)
12.0ms
(/ (* t z) a)

series319.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
37.0ms
(* 4.5 (/ (* t z) a))
39.0ms
(/ (* x y) a)
41.0ms
(/ (* t z) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (372.0ms)

IterNodesCost
01571165
13991114
21475975
done5000975

prune491.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
3.3b
(/ x (/ a y))
5.0b
(/ (* t z) a)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-diff pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 141
Calls
4 calls:
19.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
34.0ms
(* 4.5 (/ (* t z) a))
18.0ms
(/ x (/ a y))
11.0ms
(/ (* t z) a)

series286.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
59.0ms
(* 4.5 (/ (* t z) a))
45.0ms
(/ x (/ a y))
31.0ms
(/ (* t z) a)

simplify1.6s

Counts
153 → 153
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02631836
16031725
220731578
done50011576

prune786.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
0.2b
(* 4.5 (* t z))
3.3b
(/ x (/ a y))
4.9b
(/ (* 4.5 (* t z)) a)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
51×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
9×pow1
7×prod-diff div-inv
6×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*l* pow-prod-down
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log associate-*r/ associate-*r* associate-/r/ *-commutative frac-sub flip--
Counts
4 → 140
Calls
4 calls:
26.0ms
(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
18.0ms
(* 4.5 (* t z))
10.0ms
(/ x (/ a y))
39.0ms
(/ (* 4.5 (* t z)) a)

series741.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(- (* 0.5 (/ x (/ a y))) (/ (* 4.5 (* t z)) a))
39.0ms
(* 4.5 (* t z))
28.0ms
(/ x (/ a y))
535.0ms
(/ (* 4.5 (* t z)) a)

simplify1.6s

Counts
152 → 152
Iterations

Useful iterations: 2 (536.0ms)

IterNodesCost
02862098
16741900
224931706
done50001706

prune714.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes609.0ms

Accuracy

37.7% (5.0b remaining)

Error of 5.1b against oracle of 0.0b and baseline of 8.1b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04797
16297
done6297

end0.0ms

sample1.8s

Algorithm
intervals
Results
883.0ms11320×body80valid