Details

Time bar (total: 3.5s)

sample19.0ms

Algorithm
intervals
Results
6.0ms312×body80valid
0.0ms4×body1280valid
0.0ms4×body640valid
0.0ms5×body160valid
0.0ms2×body320valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414
done414

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
20.0ms
(* x (+ y z))
16.0ms
(+ (* x (+ y z)) (* z 5.0))

series56.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* x (+ y z))
30.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify114.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0212186
1877169
24182168
35001168
done5001168

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y x) (* z (+ x 5.0)))
0.0b
(* z (+ x 5.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
11.0ms
(+ (* y x) (* z (+ x 5.0)))
20.0ms
(* z (+ x 5.0))

series60.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* y x) (* z (+ x 5.0)))
32.0ms
(* z (+ x 5.0))

simplify127.0ms

Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0210182
1941168
24793168
35002168
done5002168

prune77.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
0.0b
(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
1.9b
(* z (+ (pow x 3) (pow 5.0 3)))
9.4b
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt
9×associate-*r*
8×add-cube-cbrt
6×pow1
5×flip3-+ flip-+ distribute-lft-out
4×unpow-prod-down cube-prod associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv +-commutative associate-+r+ div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-cubes *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 79
Calls
4 calls:
18.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
58.0ms
(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
74.0ms
(* z (+ (pow x 3) (pow 5.0 3)))
60.0ms
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
108.0ms
(+ (* y x) (/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0)))))
86.0ms
(* z (+ (pow x 3) (pow 5.0 3)))
150.0ms
(/ (* z (+ (pow x 3) (pow 5.0 3))) (+ (* x x) (- (* 5.0 5.0) (* x 5.0))))

simplify68.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0460856
12379746
25001739
done5001739

prune267.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
0.0b
(+ (* y x) (/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))))
0.4b
(/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3))))
8.4b
(/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
264×*-un-lft-identity
234×times-frac
104×add-sqr-sqrt add-cube-cbrt
80×distribute-lft-out
64×unpow-prod-down cube-prod
42×associate-/r*
16×sum-cubes
11×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
8×flip3-+ flip-+
6×div-inv associate-/l*
4×pow1 cbrt-undiv div-exp
3×sum-log
2×+-commutative associate-+r- associate-+r+ frac-2neg clear-num associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 232
Calls
4 calls:
18.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
126.0ms
(+ (* y x) (/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))))
71.0ms
(/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3))))
87.0ms
(/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* x x) (- (* 5.0 5.0) (* x 5.0)))
108.0ms
(+ (* y x) (/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))))
153.0ms
(/ z (/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3))))
48.0ms
(/ (+ (* x x) (- (* 5.0 5.0) (* x 5.0))) (+ (pow x 3) (pow 5.0 3)))

simplify122.0ms

Counts
244 → 244
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
07633914
139553680
250023674
done50023674

prune596.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124
done124

end0.0ms

sample495.0ms

Algorithm
intervals
Results
203.0ms9857×body80valid
9.0ms132×body640valid
8.0ms100×body1280valid
4.0ms75×body320valid
1.0ms41×body160valid