Details

Time bar (total: 3.4s)

sample48.0ms

Algorithm
intervals
Results
22.0ms481×body80valid

simplify79.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.1b

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)))
4.7b
(* (* 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)
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
8.0ms
(* (* y 4.0) (- (* z z) t))

series35.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (* z z) t)
19.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
12.0ms
(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0292385
11348342
25001337

prune83.0ms

Filtered
63 candidates to 41 candidates (34.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh000
Picked011
Done000
Total57764

Merged error: 1.5b

Counts
64 → 7

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)))
4.7b
(sqrt (- (* z z) t))
4.7b
(sqrt (- (* z z) t))

rewrite34.0ms

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)))
14.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(sqrt (- (* z z) t))

series39.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
12.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
8.0ms
(sqrt (- (* z z) t))
6.0ms
(sqrt (- (* z z) t))

simplify51.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0370769
11754653
25002647

prune108.0ms

Filtered
101 candidates to 69 candidates (31.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh145
Picked011
Done011
Total1017108

Merged error: 1.5b

Counts
108 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
4.7b
(sqrt (- (* z z) t))
5.3b
(cbrt (- (* z z) t))
5.3b
(cbrt (- (* z z) t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
8×cbrt-prod pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity
4×cbrt-div flip3-- sqrt-div sqrt-prod flip-- add-log-exp
3×difference-of-squares
2×pow1/3 associate-*r/ associate-*l/
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* associate-*l* *-commutative
Counts
4 → 68
Calls
4 calls:
10.0ms
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
4.0ms
(sqrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))
4.0ms
(cbrt (- (* z z) t))

series67.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* y 4.0) (* (sqrt (- (* z z) t)) (fabs (cbrt (- (* z z) t)))))
5.0ms
(sqrt (- (* z z) t))
18.0ms
(cbrt (- (* z z) t))
16.0ms
(cbrt (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0376711
11386615
25001603

prune113.0ms

Filtered
80 candidates to 64 candidates (20.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 1.5b

Counts
87 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.3b
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
4.7b
(* (* y 4.0) (- (* z z) t))
4.7b
(* (* y 4.0) (- (* z z) t))

rewrite27.0ms

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:
5.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
3.0ms
(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))

series97.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
35.0ms
(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
13.0ms
(* (* y 4.0) (- (* z z) t))
12.0ms
(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0270654
11170602
25002598

prune113.0ms

Filtered
92 candidates to 62 candidates (32.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done033
Total92799

Merged error: 1.5b

Counts
99 → 7

regimes1.0s

Accuracy

81.4% (0.6b remaining)

Error of 3.2b against oracle of 2.5b and baseline of 5.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02516
12516

end0.0ms

sample1.3s

Algorithm
intervals
Results
600.0ms15646×body80valid

Profiling

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