Details

Time bar (total: 2.3s)

analyze323.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
6.0ms243×body80valid
1.0ms7×body1280valid
1.0ms6×body640valid
0.0ms19×body80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
5.0ms
(* x (+ y z))
6.0ms
(+ (* x (+ y z)) (* z 5.0))

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify116.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune49.0ms

Filtered
28 candidates to 42 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
3.0ms
(+ (* x y) (* z (+ x 5.0)))
6.0ms
(* z (+ x 5.0))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x y) (* z (+ x 5.0)))
5.0ms
(* z (+ x 5.0))

simplify128.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune53.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh202
Picked101
Done011
Total42446

Merged error: 0.0b

Counts
46 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
4.0b
(* z (- (* x x) (* 5.0 5.0)))
5.9b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×associate-*r/ associate-*r*
3×flip3-- associate-*l* flip-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 65
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
10.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series37.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms
(* z (- (* x x) (* 5.0 5.0)))
14.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0397570
11864498
25001464

prune87.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh202
Picked011
Done011
Total75378

Merged error: 0b

Counts
78 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- x 5.0) (+ (* x x) (* 5.0 5.0)))
0.1b
(* (* x x) (* x x))
3.3b
(* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0))))
15.0b
(/ (* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0)))) (* (- x 5.0) (+ (* x x) (* 5.0 5.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
119×pow1
36×pow-prod-up
32×add-exp-log add-cbrt-cube
25×pow-prod-down
22×pow-sqr
18×pow-plus
14×add-sqr-sqrt prod-exp cbrt-unprod
13×pow2
10×*-un-lft-identity
9×associate-*l*
8×frac-times add-cube-cbrt flip3-- associate-*r/ associate-*r* associate-/r/ flip--
6×flip3-+ flip-+
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
2×sub-neg associate-/l/ difference-of-squares
1×frac-2neg times-frac swap-sqr clear-num associate-/r* div-inv associate-/l* distribute-lft-out--
Counts
4 → 149
Calls
4 calls:
8.0ms
(* (- x 5.0) (+ (* x x) (* 5.0 5.0)))
8.0ms
(* (* x x) (* x x))
14.0ms
(* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0))))
18.0ms
(/ (* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0)))) (* (- x 5.0) (+ (* x x) (* 5.0 5.0))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- x 5.0) (+ (* x x) (* 5.0 5.0)))
3.0ms
(* (* x x) (* x x))
16.0ms
(* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0))))
32.0ms
(/ (* z (- (* (* x x) (* x x)) (* (* 5.0 5.0) (* 5.0 5.0)))) (* (- x 5.0) (+ (* x x) (* 5.0 5.0))))

simplify125.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
06851267
14261943
25002929

prune181.0ms

Filtered
87 candidates to 161 candidates (-85.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1610161
Fresh000
Picked011
Done022
Total1613164

Merged error: 0b

Counts
164 → 3

regimes172.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

analyze322.0ms

Algorithm
search

sample421.0ms

Algorithm
intervals
Results
202.0ms7656×body80valid
19.0ms656×body80invalid
15.0ms125×body1280valid
11.0ms115×body640valid
5.0ms68×body320valid
2.0ms36×body160valid

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