Details

Time bar (total: 4.3s)

sample36.0ms

Algorithm
intervals
Results
18.0ms520×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
7×add-log-exp
6×add-sqr-sqrt sub-neg
4×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*r* associate--r+
3×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
2×diff-log associate-*r/ difference-of-squares
1×associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
4.0ms
(- (* z z) t)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series159.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(- (* z z) t)
76.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
60.0ms
(* (* y 4.0) (- (* z z) t))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0292385
11348342
25001337

prune128.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New56763
Fresh000
Picked011
Done000
Total56864

Merged error: 2.5b

Counts
64 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

2.7b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
2.7b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
5.7b
(* (* y 4.0) (- (* z z) t))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×distribute-rgt-in sub-neg flip3-- distribute-lft-in sqrt-div associate-*r/ flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative difference-of-squares
Counts
4 → 80
Calls
4 calls:
3.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
4.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))

series390.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
136.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
59.0ms
(* (* y 4.0) (- (* z z) t))
63.0ms
(* (* y 4.0) (- (* z z) t))

simplify51.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0270656
11170602
25002598

prune226.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New89392
Fresh066
Picked101
Done011
Total9010100

Merged error: 2.5b

Counts
100 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (* y 4.0) (- (* z z) t))
6.3b
(cbrt (- (* z z) t))
6.3b
(cbrt (- (* z z) t))
6.3b
(cbrt (- (* z z) t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×flip3-- associate-*r* flip-- add-log-exp difference-of-squares
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×associate-*l* *-commutative
Counts
4 → 67
Calls
4 calls:
11.0ms
(* (* y 4.0) (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series331.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (* y 4.0) (- (* z z) t))
90.0ms
(cbrt (- (* z z) t))
93.0ms
(cbrt (- (* z z) t))
90.0ms
(cbrt (- (* z z) t))

simplify41.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0267501
11086451
25001444

prune307.0ms

Filtered
79 candidates to 64 candidates (81.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh088
Picked011
Done011
Total791089

Merged error: 2.5b

Counts
89 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

2.7b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
5.7b
(* (* y 4.0) (- (* z z) t))
5.7b
(* (* y 4.0) (- (* z z) t))
5.7b
(* (* y 4.0) (- (* z z) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
4×flip3-- flip-- add-log-exp
3×associate-*l* sqrt-prod *-commutative difference-of-squares
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 90
Calls
4 calls:
4.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))

series324.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
58.0ms
(* (* y 4.0) (- (* z z) t))
63.0ms
(* (* y 4.0) (- (* z z) t))
65.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270639
11170573
25002569

prune258.0ms

Filtered
102 candidates to 63 candidates (61.8%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1011102
Fresh077
Picked011
Done022
Total10111112

Merged error: 2.5b

Counts
112 → 11

regimes687.0ms

Accuracy

86.2% (0.4b remaining)

Error of 2.9b against oracle of 2.4b and baseline of 5.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample993.0ms

Algorithm
intervals
Results
579.0ms15901×body80valid

Profiling

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