Details

Time bar (total: 15.2s)

sample59.0ms

Algorithm
intervals
Results
27.0ms361×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* (* z 9.0) t))
0.3b
(* (* z 9.0) t)
5.9b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite82.0ms

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))
22.0ms
(* (* z 9.0) t)
50.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series197.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x y) (* (* z 9.0) t))
33.0ms
(* (* z 9.0) t)
97.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (291.0ms)

IterNodesCost
0127944
1344906
21429787
done5001787

prune366.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.7b

localize30.0ms

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))
5.4b
(/ (* x y) a)
5.5b
(/ (* t z) a)

rewrite119.0ms

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:
40.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
34.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* x y) a)
21.0ms
(/ (* t z) a)

series264.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
35.0ms
(/ (* x y) a)
28.0ms
(/ (* t z) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (270.0ms)

IterNodesCost
01571165
13991114
21475975
done5000975

prune305.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
5.9b
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite71.0ms

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:
30.0ms
(* z (* 9.0 t))
13.0ms
(- (* x y) (* z (* 9.0 t)))
25.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series199.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* z (* 9.0 t))
68.0ms
(- (* x y) (* z (* 9.0 t)))
110.0ms
(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.4s

Counts
71 → 71
Iterations

Useful iterations: 2 (217.0ms)

IterNodesCost
0125941
1339905
21297786
done5001786

prune255.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.2b
(* z (* 9.0 t))
0.3b
(- (* x y) (* z (* 9.0 t)))
5.9b
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
13×prod-exp
10×pow1
9×add-sqr-sqrt
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity cbrt-unprod
6×associate-*l*
5×add-log-exp
4×div-exp pow-prod-down
3×expm1-log1p-u flip3-- times-frac flip-- log1p-expm1-u
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative
1×sub-neg fma-neg diff-log associate-*r/ prod-diff un-div-inv div-inv unswap-sqr
Counts
3 → 74
Calls
3 calls:
35.0ms
(* z (* 9.0 t))
21.0ms
(- (* x y) (* z (* 9.0 t)))
82.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

series225.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* z (* 9.0 t))
83.0ms
(- (* x y) (* z (* 9.0 t)))
116.0ms
(* (- (* x y) (* z (* 9.0 t))) (/ 1 (* a 2.0)))

simplify1.3s

Counts
83 → 83
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
01531234
13891114
21410955
done5000955

prune264.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

regimes1.0s

Accuracy

20.7% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 7.5b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04699
16099
done6099

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s11154×body80valid