Details

Time bar (total: 3.4s)

sample45.0ms

Algorithm
intervals
Results
15.0ms292×body80valid
4.0ms93×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1457
2677
3947
41157
51157

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* z z) (* t a))
5.1b
(* (* x y) z)
8.3b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
21.4b
(sqrt (- (* z z) (* t a)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
11×add-sqr-sqrt
10×pow1 add-cube-cbrt *-un-lft-identity
9×sqrt-prod
6×times-frac prod-exp associate-/r* cbrt-unprod add-log-exp
4×sqrt-div
3×cbrt-undiv flip3-- div-exp associate-*r* pow-prod-down flip--
2×associate-/r/
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*l* clear-num *-commutative div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
3.0ms
(- (* z z) (* t a))
4.0ms
(* (* x y) z)
10.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
3.0ms
(sqrt (- (* z z) (* t a)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* z z) (* t a))
6.0ms
(* (* x y) z)
32.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
15.0ms
(sqrt (- (* z z) (* t a)))

simplify56.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0343583
11850515
25003510

prune136.0ms

Filtered
60 candidates to 88 candidates (-46.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New781088
Fresh000
Picked101
Done000
Total791089

Merged error: 2.8b

Counts
89 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
1.2b
(- (* z z) (* t a))
2.1b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
21.4b
(sqrt (- (* z z) (* t a)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
34×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
24×associate-*r* sqrt-prod
18×add-exp-log add-cbrt-cube
10×pow1
6×sqrt-div prod-exp associate-/r* cbrt-unprod add-log-exp
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×div-inv
1×sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 112
Calls
4 calls:
6.0ms
(/ z (sqrt (- (* z z) (* t a))))
3.0ms
(- (* z z) (* t a))
12.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
4.0ms
(sqrt (- (* z z) (* t a)))

series62.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ z (sqrt (- (* z z) (* t a))))
10.0ms
(- (* z z) (* t a))
30.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04281014
12153912
25002894

prune142.0ms

Filtered
81 candidates to 124 candidates (-53.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1195124
Fresh369
Picked011
Done000
Total12212134

Merged error: 2.8b

Counts
134 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

3.2b
(cbrt (/ z (sqrt (- (* z z) (* t a)))))
21.4b
(sqrt (- (* z z) (* t a)))
21.4b
(sqrt (- (* z z) (* t a)))
21.4b
(sqrt (- (* z z) (* t a)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
23×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
8×sqrt-div
7×pow1
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×associate-/r/
1×cbrt-div pow1/3 div-inv
Counts
4 → 78
Calls
4 calls:
7.0ms
(cbrt (/ z (sqrt (- (* z z) (* t a)))))
3.0ms
(sqrt (- (* z z) (* t a)))
3.0ms
(sqrt (- (* z z) (* t a)))
3.0ms
(sqrt (- (* z z) (* t a)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (/ z (sqrt (- (* z z) (* t a)))))
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify92.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0337846
1899824
23263794
35001789

prune151.0ms

Filtered
72 candidates to 90 candidates (-25.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh01010
Picked101
Done011
Total9012102

Merged error: 2.8b

Counts
102 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

21.4b
(sqrt (- (* z z) (* t a)))
21.4b
(sqrt (- (* z z) (* t a)))
21.4b
(sqrt (- (* z z) (* t a)))
21.4b
(sqrt (- (* z z) (* t a)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp
Counts
4 → 60
Calls
4 calls:
4.0ms
(sqrt (- (* z z) (* t a)))
3.0ms
(sqrt (- (* z z) (* t a)))
4.0ms
(sqrt (- (* z z) (* t a)))
5.0ms
(sqrt (- (* z z) (* t a)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0120452
1401440
21282436
35001432

prune90.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh01010
Picked011
Done011
Total721284

Merged error: 2.8b

Counts
84 → 12

regimes895.0ms

Accuracy

84.9% (2.9b remaining)

Error of 6.0b against oracle of 3.1b and baseline of 22.1b

bsearch57.0ms

Steps
ItersRangePoint
7
4.048681901734973e+134
6.623524128419806e+135
5.0200589243735355e+134
10
-7.491844144661297e+152
-9.98425604727515e+142
-8.743671910243983e+146

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02510
13110
23110

end0.0ms

sample1.2s

Algorithm
intervals
Results
452.0ms8879×body80valid
133.0ms2889×body80nan

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