Details

Time bar (total: 3.8s)

sample39.0ms

Algorithm
intervals
Results
23.0ms510×body80valid

simplify76.0ms

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: 7.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.6b
(* (* y 4.0) (- (* z z) t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
9.0ms
(* (* y 4.0) (- (* z z) t))

series139.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0269322
11276286
25001281

prune86.0ms

Filtered
47 candidates to 29 candidates (61.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New41647
Fresh000
Picked011
Done000
Total41748

Merged error: 3.5b

Counts
48 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

2.3b
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.6b
(* (* y 4.0) (- (* z z) t))
6.6b
(* (* y 4.0) (- (* z z) t))
6.6b
(* (* y 4.0) (- (* z z) t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
12×associate-*r*
11×add-sqr-sqrt
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×cbrt-prod associate-*l* *-commutative difference-of-squares
2×cbrt-div
1×pow1/3
Counts
4 → 88
Calls
4 calls:
3.0ms
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms
(* (* y 4.0) (- (* z z) t))
9.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))

series330.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
63.0ms
(* (* y 4.0) (- (* z z) t))
58.0ms
(* (* y 4.0) (- (* z z) t))
64.0ms
(* (* y 4.0) (- (* z z) t))

simplify44.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0312671
11323596
25001590

prune224.0ms

Filtered
100 candidates to 62 candidates (62.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh055
Picked011
Done011
Total998107

Merged error: 3.5b

Counts
107 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

1.8b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.8b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
6.6b
(* (* y 4.0) (- (* z z) t))
6.6b
(* (* y 4.0) (- (* z z) t))

rewrite23.0ms

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))))
3.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
7.0ms
(* (* y 4.0) (- (* z z) t))
8.0ms
(* (* y 4.0) (- (* z z) t))

series415.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
154.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
58.0ms
(* (* y 4.0) (- (* z z) t))
64.0ms
(* (* y 4.0) (- (* z z) t))

simplify42.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0270654
11170602
25002598

prune201.0ms

Filtered
92 candidates to 62 candidates (67.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done022
Total928100

Merged error: 3.5b

Counts
100 → 8

localize10.0ms

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)))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite39.0ms

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)))
9.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series233.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
65.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
51.0ms
(sqrt (- (* z z) t))
44.0ms
(sqrt (- (* z z) t))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0372769
11759649
25001641

prune221.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1001101
Fresh134
Picked011
Done033
Total1018109

Merged error: 3.5b

Counts
109 → 8

regimes488.0ms

Accuracy

88.5% (0.4b remaining)

Error of 3.0b against oracle of 2.5b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample967.0ms

Algorithm
intervals
Results
581.0ms15777×body80valid

Profiling

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