Details

Time bar (total: 16.9s)

sample43.0ms

Algorithm
intervals
Results
18.0ms337×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize22.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
9.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite88.0ms

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:
39.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
32.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series200.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* (* z 9.0) t)
86.0ms
(- (* x y) (* (* z 9.0) t))
93.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
0127944
1344906
21424787
done5000787

prune300.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(fma x y (- (* (* z 9.0) t)))
9.6b
(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

rewrite54.0ms

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-*r* pow-prod-down log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative fma-udef div-inv
Counts
3 → 53
Calls
3 calls:
34.0ms
(* (* z 9.0) t)
1.0ms
(fma x y (- (* (* z 9.0) t)))
17.0ms
(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

series218.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (* z 9.0) t)
83.0ms
(fma x y (- (* (* z 9.0) t)))
111.0ms
(/ (fma x y (- (* (* z 9.0) t))) (* a 2.0))

simplify2.6s

Counts
62 → 62
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0106766
1240758
2847632
33434632
done5002631

prune226.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.8b

localize19.0ms

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))
5.5b
(/ (* t z) a)
6.5b
(/ (* x y) a)

rewrite104.0ms

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:
27.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
41.0ms
(* 4.5 (/ (* t z) a))
16.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

series230.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
46.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (382.0ms)

IterNodesCost
01571165
13991114
21477975
done5000975

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

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))
4.6b
(/ x (/ a y))
5.5b
(/ (* t z) a)

rewrite77.0ms

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:
20.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
25.0ms
(* 4.5 (/ (* t z) a))
15.0ms
(/ x (/ a y))
11.0ms
(/ (* t z) a)

series272.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
50.0ms
(* 4.5 (/ (* t z) a))
51.0ms
(/ x (/ a y))
38.0ms
(/ (* t z) a)

simplify1.7s

Counts
153 → 153
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02631836
16031725
220731578
done50011576

prune545.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes379.0ms

Accuracy

34.9% (4.8b remaining)

Error of 4.9b against oracle of 0.1b and baseline of 7.5b

bsearch1.0ms

simplify23.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
04785
16183
26783
37383
done7383

end0.0ms

sample2.2s

Algorithm
intervals
Results
896.0ms11067×body80valid