Details

Time bar (total: 15.5s)

sample41.0ms

Algorithm
intervals
Results
24.0ms352×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12713
29013
328813
475113
5129613
6155613
7158013
done158013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite73.0ms

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))
25.0ms
(* (* z 9.0) t)
37.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series184.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(* (* z 9.0) t)
86.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.6s

Counts
71 → 71
Iterations

Useful iterations: 2 (277.0ms)

IterNodesCost
0127944
1344906
21429787
done5001787

prune312.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize18.0ms

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))
4.5b
(/ (* t z) a)
5.9b
(/ (* x y) a)

rewrite97.0ms

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:
19.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
27.0ms
(/ (* t z) a)
19.0ms
(/ (* x y) a)

series259.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
52.0ms
(* 4.5 (/ (* t z) a))
31.0ms
(/ (* t z) a)
32.0ms
(/ (* x y) a)

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (343.0ms)

IterNodesCost
01571165
13991114
21477975
done5000975

prune359.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

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))
4.3b
(* x (/ y a))
4.5b
(/ (* t z) a)

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity
16×times-frac
8×pow1 associate-*r/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-inv unswap-sqr
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg fma-neg diff-log prod-diff clear-num frac-sub flip-- associate-/l* sub-div
Counts
4 → 104
Calls
4 calls:
62.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
14.0ms
(* x (/ y a))
12.0ms
(/ (* t z) a)

series221.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (/ (* t z) a)))
52.0ms
(* 4.5 (/ (* t z) a))
27.0ms
(* x (/ y a))
22.0ms
(/ (* t z) a)

simplify1.2s

Counts
116 → 116
Iterations

Useful iterations: 2 (237.0ms)

IterNodesCost
01821256
14571195
215741056
done50001056

prune447.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))
4.3b
(* x (/ y a))
4.6b
(* t (/ z a))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×associate-*r*
23×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
20×times-frac
13×pow1
12×associate-*r/
9×associate-*l* prod-exp cbrt-unprod
6×add-log-exp
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u unswap-sqr
3×cbrt-undiv div-exp *-commutative
2×div-inv
1×sub-neg flip3-- fma-neg diff-log prod-diff frac-sub flip-- sub-div
Counts
4 → 109
Calls
4 calls:
43.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* t (/ z a))))
30.0ms
(* 4.5 (* t (/ z a)))
23.0ms
(* x (/ y a))
15.0ms
(* t (/ z a))

series260.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(- (* 0.5 (* x (/ y a))) (* 4.5 (* t (/ z a))))
31.0ms
(* 4.5 (* t (/ z a)))
36.0ms
(* x (/ y a))
35.0ms
(* t (/ z a))

simplify1.7s

Counts
121 → 121
Iterations

Useful iterations: 2 (604.0ms)

IterNodesCost
01951288
14931221
216821082
done50001082

prune384.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes734.0ms

Accuracy

86.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 8.0b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03476
14862
done4862

end0.0ms

sample1.5s

Algorithm
intervals
Results
962.0ms11213×body80valid