Details

Time bar (total: 2.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms392×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2574
3634
4634

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: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (* x x) (* (* y 4.0) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune25.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) z))
0.3b
(* (* (* y 4.0) z) (* (* y 4.0) z))
1.5b
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
29.4b
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1
66×pow-prod-down
42×add-exp-log add-cbrt-cube
27×prod-exp cbrt-unprod
23×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×times-frac
10×add-log-exp
9×pow-sqr pow-prod-up
5×distribute-lft-out
4×flip3-+ flip-+ associate-/l*
3×pow-plus associate-/r* sum-log
2×+-commutative neg-sub0 associate-+l- associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* neg-log clear-num *-commutative div-inv
Counts
4 → 121
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) z))
11.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
10.0ms
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* x x) (* (* y 4.0) z))
33.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
102.0ms
(+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
96.0ms
(/ (+ (- (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
04591287
124491076
250021052

prune180.0ms

Filtered
133 candidates to 63 candidates (47.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1321133
Fresh000
Picked011
Done011
Total1323135

Merged error: 0.0b

Counts
135 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) z))
0.3b
(/ 1 (- (* x x) (* (* y 4.0) z)))
0.4b
(/ 1 (/ 1 (- (* x x) (* (* y 4.0) z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
18×associate-/r*
16×div-exp
11×associate-/r/
10×add-cbrt-cube
8×rec-exp 1-exp
6×pow1 flip3-- flip-- div-inv associate-/l*
5×pow-flip add-log-exp
4×cbrt-undiv
3×inv-pow
2×frac-2neg clear-num
1×sub-neg diff-log remove-double-div
Counts
3 → 138
Calls
3 calls:
3.0ms
(- (* x x) (* (* y 4.0) z))
5.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
9.0ms
(/ 1 (/ 1 (- (* x x) (* (* y 4.0) z))))

series117.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* x x) (* (* y 4.0) z))
29.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
46.0ms
(/ 1 (/ 1 (- (* x x) (* (* y 4.0) z))))

simplify60.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04131420
121911196
250021064

prune134.0ms

Filtered
147 candidates to 58 candidates (39.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1461147
Fresh000
Picked011
Done022
Total1464150

Merged error: 0.0b

Counts
150 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (- (* x x) (* (* y 4.0) z)))
0.3b
(/ 1 (- (* x x) (* (* y 4.0) z)))
2.4b
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))
2.4b
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
40×times-frac
36×*-un-lft-identity
34×add-cube-cbrt
30×sqrt-prod
12×add-exp-log
10×pow1
8×associate-/r/ add-cbrt-cube
6×rem-sqrt-square sqrt-pow1 associate-/r* associate-/l*
4×flip3-- pow-flip div-exp flip-- div-inv inv-pow add-log-exp
2×cbrt-undiv rec-exp frac-2neg pow1/2 sqrt-div 1-exp clear-num
Counts
4 → 126
Calls
4 calls:
6.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
5.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
5.0ms
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))
5.0ms
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
29.0ms
(/ 1 (- (* x x) (* (* y 4.0) z)))
60.0ms
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))
61.0ms
(sqrt (/ 1 (- (* x x) (* (* y 4.0) z))))

simplify94.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
01901156
16931044
23113974
35002974

prune248.0ms

Filtered
138 candidates to 82 candidates (59.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1380138
Fresh000
Picked011
Done033
Total1384142

Merged error: 0.0b

Counts
142 → 4

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample517.0ms

Algorithm
intervals
Results
276.0ms12306×body80valid

Profiling

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