Details

Time bar (total: 6.9s)

sample45.0ms

Algorithm
intervals
Results
16.0ms352×body80valid

simplify690.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12613
28813
327613
467113
5117613
6140213
7142113
done142113

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
7.8b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

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×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* (* z 9.0) t)
4.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series44.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
18.0ms
(- (* x y) (* (* z 9.0) t))
22.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify438.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0116858
1329827
21336711
done5000711

prune138.0ms

Filtered
44 candidates to 63 candidates (-43.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 7.9b

Counts
64 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.4b
(- (* x y) (* 9.0 (* t z)))
7.8b
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite19.0ms

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×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*r* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
5.0ms
(* 9.0 (* t z))
4.0ms
(- (* x y) (* 9.0 (* t z)))
8.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series42.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 9.0 (* t z))
16.0ms
(- (* x y) (* 9.0 (* t z)))
22.0ms
(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
0111855
1312826
21155710
34852710
done5000710

prune110.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New62163
Fresh1910
Picked011
Done000
Total631174

Merged error: 7.9b

Counts
74 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
5.9b
(/ (* x y) a)
6.8b
(/ (* t z) a)

rewrite28.0ms

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/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
7.0ms
(/ (* x y) a)
5.0ms
(/ (* t z) a)

series45.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(/ (* x y) a)
6.0ms
(/ (* t z) a)

simplify436.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
01441055
13961008
21587874
done5000874

prune158.0ms

Filtered
62 candidates to 95 candidates (-53.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh369
Picked101
Done101
Total9313106

Merged error: 0.7b

Counts
106 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
5.7b
(/ x (/ a y))
6.8b
(/ (* t z) a)

rewrite33.0ms

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×associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
8.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(/ x (/ a y))
5.0ms
(/ (* t z) a)

series42.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
7.0ms
(* 4.5 (/ (* t z) a))
6.0ms
(/ x (/ a y))
5.0ms
(/ (* t z) a)

simplify561.0ms

Counts
143 → 143
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
02501726
16111619
223581477
done50001477

prune143.0ms

Filtered
106 candidates to 143 candidates (-34.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1412143
Fresh5712
Picked101
Done000
Total1479156

Merged error: 0.0b

Counts
156 → 9

regimes1.4s

Accuracy

91.5% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 8.7b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03167
14353
done4353

end0.0ms

sample1.2s

Algorithm
intervals
Results
517.0ms11264×body80valid

Profiling

Loading profile data...