Details

Time bar (total: 2.5s)

sample19.0ms

Algorithm
intervals
Results
8.0ms319×body80valid
0.0ms3×body1280valid
0.0ms3×body640valid
0.0ms3×body320valid
0.0ms1×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0184
1284
2384
3414
4414

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite13.0ms

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

series58.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
33.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify119.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0212186
1877169
24182168
35001168

prune74.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New35742
Fresh000
Picked101
Done000
Total36743

Merged error: 0.0b

Counts
43 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(+ (* x y) (* z (+ x 5.0)))
6.0ms
(* z (+ x 5.0))

series60.0ms

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

simplify130.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209182
1941168
24791168
35002168

prune82.0ms

Filtered
42 candidates to 28 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38442
Fresh516
Picked011
Done000
Total43649

Merged error: 0.0b

Counts
49 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (+ x 5.0))
0.8b
(cbrt (+ x 5.0))
0.8b
(cbrt (+ x 5.0))
0.8b
(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

rewrite23.0ms

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:
3.0ms
(cbrt (+ x 5.0))
3.0ms
(cbrt (+ x 5.0))
3.0ms
(cbrt (+ x 5.0))
11.0ms
(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (+ x 5.0))
91.0ms
(cbrt (+ x 5.0))
91.0ms
(cbrt (+ x 5.0))
108.0ms
(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

simplify164.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (153.0ms)

IterNodesCost
0328792
11085748
24755669
35001665

prune257.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh134
Picked101
Done011
Total1076113

Merged error: 0b

Counts
113 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
3.8b
(* z (- (* x x) (* 5.0 5.0)))
7.0b
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

rewrite30.0ms

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)))
14.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

series221.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (* x y) (/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0)))
62.0ms
(* z (- (* x x) (* 5.0 5.0)))
93.0ms
(/ (* z (- (* x x) (* 5.0 5.0))) (- x 5.0))

simplify60.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0397570
11864498
25001464

prune133.0ms

Filtered
74 candidates to 53 candidates (71.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh134
Picked101
Done011
Total75580

Merged error: 0b

Counts
80 → 5

regimes70.0ms

Accuracy

0% (0.0b 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

sample500.0ms

Algorithm
intervals
Results
264.0ms9859×body80valid
11.0ms96×body1280valid
10.0ms104×body640valid
5.0ms65×body320valid
2.0ms36×body160valid

Profiling

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