Details

Time bar (total: 3.7s)

analyze667.0ms

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms83×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b
(- (* z z) t)
4.3b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt sub-neg
distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
diff-log associate-*r/ difference-of-squares
associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
7.0ms
(* (* y 4.0) (- (* z z) t))

series37.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.0ms
(- (* z z) t)
13.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0292385
11348342
25001337

prune86.0ms

Filtered
41 candidates to 63 candidates (-53.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57663
Fresh000
Picked101
Done000
Total58664

Merged error: 1.5b

Counts
64 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.6b
(* (* y 4.0) (* z z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
pow-prod-down prod-exp cbrt-unprod
add-log-exp
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity diff-log distribute-rgt-neg-out associate--r-
sub-neg flip3-- associate-*r* associate-*l* unsub-neg sum-log *-commutative flip-- associate--r+ difference-of-squares
Counts
2 → 39
Calls
2 calls:
8.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms
(* (* y 4.0) (* z z))

series27.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(- (* x x) (+ (* (* y 4.0) (* z z)) (* (* y 4.0) (neg t))))
7.0ms
(* (* y 4.0) (* z z))

simplify42.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0253365
11088292
25002288

prune54.0ms

Filtered
24 candidates to 45 candidates (-87.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh325
Picked011
Done000
Total47451

Merged error: 0.0b

Counts
51 → 4

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-log-exp
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
diff-log distribute-rgt-neg-out associate--r-
sub-neg flip3-- associate-*l* unsub-neg sum-log *-commutative flip-- associate--r+ difference-of-squares
Counts
2 → 38
Calls
2 calls:
7.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
6.0ms
(* (* (* y 4.0) z) z)

series28.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(- (* x x) (+ (* (* (* y 4.0) z) z) (* (* y 4.0) (neg t))))
7.0ms
(* (* (* y 4.0) z) z)

simplify42.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0265362
11254302
25001295

prune72.0ms

Filtered
26 candidates to 44 candidates (-69.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New40444
Fresh022
Picked011
Done011
Total40848

Merged error: 0.0b

Counts
48 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.7b
(cbrt z)
0.7b
(cbrt z)
0.7b
(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:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series92.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
24.0ms
(cbrt z)
22.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune87.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh145
Picked011
Done022
Total85893

Merged error: 0.0b

Counts
93 → 8

regimes812.0ms

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

analyze659.0ms

Algorithm
search

sample691.0ms

Algorithm
intervals
Results
306.0ms8000×body80valid
115.0ms3110×body80invalid

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