Details

Time bar (total: 4.1s)

analyze654.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms101×body80invalid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z z) t)
0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.3b
(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

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)
3.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.0ms
(* (* y 4.0) (- (* z z) t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* z z) t)
20.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
16.0ms
(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292385
11348342
25001337

prune84.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 2.7b

Counts
64 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* (* y 4.0) (- (* z z) t)))
6.3b
(* (* y 4.0) (- (* z z) t))
6.3b
(* (* y 4.0) (- (* z z) t))
6.3b
(* (* y 4.0) (- (* z z) t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
10×add-sqr-sqrt
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
7×add-cube-cbrt *-un-lft-identity
6×distribute-rgt-in sub-neg distribute-lft-in
4×flip3-- flip-- add-log-exp
3×associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 86
Calls
4 calls:
6.0ms
(cbrt (* (* 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))

series75.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))
12.0ms
(* (* y 4.0) (- (* z z) t))
12.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0289620
11143522
25001517

prune156.0ms

Filtered
61 candidates to 98 candidates (-60.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh145
Picked101
Done011
Total996105

Merged error: 2.7b

Counts
105 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* (* y 4.0) (- (* z z) t)))
6.3b
(* (* y 4.0) (- (* z z) t))
6.3b
(* (* y 4.0) (- (* z z) t))
6.7b
(cbrt (- (* z z) t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity
6×associate-*r/ pow-prod-down prod-exp cbrt-unprod
5×cbrt-prod
4×distribute-rgt-in sub-neg cbrt-div flip3-- distribute-lft-in flip-- add-log-exp
3×difference-of-squares
2×pow1/3 associate-*l* *-commutative
Counts
4 → 75
Calls
4 calls:
6.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series80.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(cbrt (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))
14.0ms
(* (* y 4.0) (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0345577
11291501
25001491

prune148.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done011
Total87693

Merged error: 2.7b

Counts
93 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.2b
(sqrt (- (* z z) t))
6.2b
(sqrt (- (* z z) t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div add-cbrt-cube
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 89
Calls
4 calls:
9.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
15.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series42.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
14.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.0ms
(sqrt (- (* z z) t))
8.0ms
(sqrt (- (* z z) t))

simplify54.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0370767
11766653
25002647

prune87.0ms

Filtered
69 candidates to 101 candidates (-46.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh033
Picked011
Done022
Total1016107

Merged error: 2.7b

Counts
107 → 6

regimes951.0ms

Accuracy

88.5% (0.4b remaining)

Error of 3.0b against oracle of 2.7b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

analyze626.0ms

Algorithm
search

sample660.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
108.0ms2970×body80invalid

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