Details

Time bar (total: 3.6s)

sample37.0ms

Algorithm
intervals
Results
20.0ms511×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

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: 6.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
sub-neg
distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
flip3-- associate-*r/ flip--
diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series133.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
62.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0269322
11276286
25001281

prune92.0ms

Filtered
47 candidates to 29 candidates (61.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New40747
Fresh000
Picked101
Done000
Total41748

Merged error: 2.5b

Counts
48 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
0.0b
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
9.1b
(* (* y 4.0) (* z z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt distribute-rgt-neg-out
add-cube-cbrt *-un-lft-identity
diff-log unsub-neg sum-log associate--r-
+-commutative sub-neg flip3-- flip3-+ associate-*r* associate-*l* *-commutative flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
3 → 53
Calls
3 calls:
9.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
8.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
7.0ms
(* (* y 4.0) (* z z))

series180.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
76.0ms
(+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t)))
32.0ms
(* (* y 4.0) (* z z))

simplify55.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0314491
11440398
25001390

prune110.0ms

Filtered
62 candidates to 38 candidates (61.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh336
Picked011
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
0.0b
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
0.2b
(* (* (* y 4.0) z) z)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-cbrt-cube
10×add-log-exp
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity distribute-rgt-neg-out
associate-*r*
diff-log unsub-neg sum-log associate--r-
+-commutative sub-neg flip3-- flip3-+ associate-*l* *-commutative flip-- flip-+ associate--r+ difference-of-squares
Counts
3 → 51
Calls
3 calls:
8.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
7.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
7.0ms
(* (* (* y 4.0) z) z)

series182.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
78.0ms
(+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t)))
30.0ms
(* (* (* y 4.0) z) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0323488
11585427
25001382

prune121.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New57360
Fresh033
Picked011
Done011
Total57865

Merged error: 0.0b

Counts
65 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series727.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt z) (cbrt z))
174.0ms
(cbrt z)
181.0ms
(cbrt z)
170.0ms
(cbrt z)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune221.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh055
Picked011
Done022
Total84993

Merged error: 0.0b

Counts
93 → 9

regimes337.0ms

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
0209
1249
2319
3319

end0.0ms

sample984.0ms

Algorithm
intervals
Results
585.0ms15777×body80valid

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