Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
7.0ms298×body80valid
1.0ms8×body640valid
0.0ms3×body320valid
0.0ms1×body1280valid
0.0ms1×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

series17.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(* x (+ y z))
7.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune56.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37542
Fresh000
Picked011
Done000
Total37643

Merged error: 0.0b

Counts
43 → 6

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)))

simplify129.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209182
1941168
24786168
35001168

prune55.0ms

Filtered
42 candidates to 27 candidates (35.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh224
Picked101
Done011
Total43548

Merged error: 0.0b

Counts
48 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
3.0ms
(cbrt (+ y z))
3.0ms
(cbrt (+ y z))
3.0ms
(cbrt (+ y z))

series132.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ y z)) (cbrt (+ y z)))
30.0ms
(cbrt (+ y z))
29.0ms
(cbrt (+ y z))
33.0ms
(cbrt (+ y z))

simplify117.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0285746
1850709
23885634
35002621

prune113.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 5.0 5.0))
0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
2.4b
(* z (- (* x x) (* 5.0 5.0)))
5.5b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
6×pow1
5×times-frac associate-/r*
4×flip3-- associate-*r/ associate-*r* flip-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×+-commutative frac-2neg flip3-+ diff-log pow-prod-down clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 78
Calls
4 calls:
4.0ms
(- (* x x) (* 5.0 5.0))
7.0ms
(+ (* 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))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* 5.0 5.0))
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))

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0406650
11888567
25001533

prune98.0ms

Filtered
90 candidates to 65 candidates (27.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh022
Picked011
Done022
Total89695

Merged error: 0b

Counts
95 → 6

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample592.0ms

Algorithm
intervals
Results
242.0ms9776×body80valid
13.0ms104×body1280valid
11.0ms120×body640valid
5.0ms68×body320valid
2.0ms36×body160valid

Profiling

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