Details

Time bar (total: 2.1s)

analyze324.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
6.0ms248×body80valid
0.0ms17×body80invalid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms2×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

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))
8.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify118.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune47.0ms

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
(* z (+ x 5.0))
0.0b
(+ (* x y) (* 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:
5.0ms
(* z (+ x 5.0))
4.0ms
(+ (* x y) (* z (+ x 5.0)))

series12.0ms

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

simplify123.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune53.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh112
Picked101
Done011
Total41546

Merged error: 0b

Counts
46 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b
(* z (sqrt (+ x 5.0)))
0.3b
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
3.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
6.0ms
(* z (sqrt (+ x 5.0)))
10.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series23.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(+ (* x y) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
11.0ms
(* z (sqrt (+ x 5.0)))
5.0ms
(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0403568
11889483
25001472

prune105.0ms

Filtered
48 candidates to 75 candidates (-56.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74175
Fresh123
Picked011
Done011
Total75580

Merged error: 0b

Counts
80 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.1b
(* z (- (* x x) (* 5.0 5.0)))
7.7b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite23.0ms

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:
6.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
6.0ms
(* z (- (* x x) (* 5.0 5.0)))
9.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series39.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
10.0ms
(* z (- (* x x) (* 5.0 5.0)))
13.0ms
(/ (* 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

prune82.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh112
Picked101
Done022
Total75479

Merged error: 0b

Counts
79 → 4

regimes188.0ms

Accuracy

0% (0.1b 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

analyze321.0ms

Algorithm
search

sample416.0ms

Algorithm
intervals
Results
204.0ms7654×body80valid
17.0ms683×body80invalid
15.0ms126×body1280valid
11.0ms117×body640valid
5.0ms65×body320valid
2.0ms38×body160valid

Profiling

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