Details

Time bar (total: 16.8s)

sample58.0ms

Algorithm
intervals
Results
28.0ms356×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327813
474313
5159813
6204413
7215313
8215913
done215913

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.2b
(- (* x y) (* (* z 9.0) t))
5.2b
(/ (- (* 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×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:
23.0ms
(* (* z 9.0) t)
17.0ms
(- (* x y) (* (* z 9.0) t))
54.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* (* z 9.0) t)
69.0ms
(- (* x y) (* (* z 9.0) t))
95.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
0116858
1328827
21585711
done5000711

prune218.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 4.5 (/ (* t z) a))
0.2b
(* 0.5 (/ (* x y) a))
4.0b
(/ (* t z) a)
5.0b
(/ (* x y) a)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
29.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(* 0.5 (/ (* x y) a))
10.0ms
(/ (* t z) a)
18.0ms
(/ (* x y) a)

series124.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 4.5 (/ (* t z) a))
31.0ms
(* 0.5 (/ (* x y) a))
25.0ms
(/ (* t z) a)
35.0ms
(/ (* x y) a)

simplify1.6s

Counts
108 → 108
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0146980
1408946
22224806
done5000774

prune324.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* t z) 4.5)
0.2b
(* 0.5 (/ (* x y) a))
4.0b
(/ (* (* t z) 4.5) a)
5.0b
(/ (* x y) a)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1 prod-exp cbrt-unprod
10×associate-*r*
9×times-frac
7×cbrt-undiv div-exp
6×associate-/r*
4×associate-*l* pow-prod-down add-log-exp
3×div-inv
2×frac-2neg clear-num *-commutative associate-/l*
1×associate-*r/ unswap-sqr
Counts
4 → 89
Calls
4 calls:
18.0ms
(* (* t z) 4.5)
19.0ms
(* 0.5 (/ (* x y) a))
21.0ms
(/ (* (* t z) 4.5) a)
26.0ms
(/ (* x y) a)

series130.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* t z) 4.5)
37.0ms
(* 0.5 (/ (* x y) a))
38.0ms
(/ (* (* t z) 4.5) a)
27.0ms
(/ (* x y) a)

simplify1.5s

Counts
101 → 101
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0144925
1406893
22561757
done5000737

prune283.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt 4.5) (/ (* t z) a))
0.2b
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
4.0b
(/ (* t z) a)
5.0b
(/ (* x y) a)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log
38×add-cbrt-cube
26×prod-exp cbrt-unprod
18×pow1
16×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp
9×times-frac pow-prod-down
8×associate-*r*
7×associate-*l*
6×associate-/r*
4×cbrt-prod add-log-exp
3×associate-*r/ div-inv
2×frac-2neg clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 104
Calls
4 calls:
23.0ms
(* (cbrt 4.5) (/ (* t z) a))
98.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
17.0ms
(/ (* t z) a)
17.0ms
(/ (* x y) a)

series281.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt 4.5) (/ (* t z) a))
116.0ms
(* (* (cbrt 4.5) (cbrt 4.5)) (* (cbrt 4.5) (/ (* t z) a)))
22.0ms
(/ (* t z) a)
22.0ms
(/ (* x y) a)

simplify2.2s

Counts
116 → 116
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01561396
14631348
227781022
done5000901

prune343.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes716.0ms

Accuracy

19.2% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 7.4b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03983
15383
done5383

end0.0ms

sample1.5s

Algorithm
intervals
Results
704.0ms11079×body80valid