Details

Time bar (total: 2.2s)

sample22.0ms

Algorithm
intervals
Results
11.0ms386×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))

series46.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
099103
140093
2185693
3500293

prune23.0ms

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))
3.5b
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
29.7b
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

rewrite41.0ms

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))
14.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
7.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
12.0ms
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* x x) (* (* y 4.0) z))
35.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
108.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
103.0ms
(/ (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (+ (* x x) (* (* y 4.0) z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
04591287
124491076
250021052

prune192.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* y 4.0) z) (* (* y 4.0) z))
0.3b
(/ 1 (+ (* x x) (* (* y 4.0) z)))
3.5b
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
29.8b
(* (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (/ 1 (+ (* x x) (* (* y 4.0) z))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
121×pow1
67×pow-prod-down
53×add-exp-log
47×add-cbrt-cube
31×prod-exp
29×cbrt-unprod
27×add-sqr-sqrt
25×*-un-lft-identity
20×add-cube-cbrt times-frac
16×associate-*r*
9×pow-sqr pow-prod-up
8×add-log-exp
5×flip3-+ associate-*l* flip-+
4×div-exp associate-/r/
3×pow-plus associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ sum-log *-commutative div-inv distribute-lft-out
1×+-commutative pow2 neg-sub0 associate-+l- pow-flip frac-2neg associate-*r/ swap-sqr neg-log clear-num un-div-inv inv-pow
Counts
4 → 150
Calls
4 calls:
11.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
5.0ms
(/ 1 (+ (* x x) (* (* y 4.0) z)))
7.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
16.0ms
(* (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (/ 1 (+ (* x x) (* (* y 4.0) z))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* (* y 4.0) z) (* (* y 4.0) z))
89.0ms
(/ 1 (+ (* x x) (* (* y 4.0) z)))
120.0ms
(+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4))
104.0ms
(* (+ (neg (* (* (* y 4.0) z) (* (* y 4.0) z))) (pow x 4)) (/ 1 (+ (* x x) (* (* y 4.0) z))))

simplify113.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
05491528
132731241
250011215

prune216.0ms

Filtered
162 candidates to 74 candidates (45.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done022
Total1623165

Merged error: 0.0b

Counts
165 → 3

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample599.0ms

Algorithm
intervals
Results
359.0ms12208×body80valid

Profiling

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