Details

Time bar (total: 3.3s)

sample41.0ms

Algorithm
intervals
Results
14.0ms278×body80valid
4.0ms75×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1457
2677
3947
41157
51157

prune4.0ms

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: 27.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
4.6b
(* (* x y) z)
9.1b
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
27.7b
(sqrt (- (* z z) (* t a)))

rewrite25.0ms

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))
5.0ms
(* (* x y) z)
9.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
6.0ms
(sqrt (- (* z z) (* t a)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* z z) (* t a))
6.0ms
(* (* x y) z)
30.0ms
(/ (* (* x y) z) (sqrt (- (* z z) (* t a))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify50.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0343583
11850515
25003510

prune133.0ms

Filtered
88 candidates to 60 candidates (31.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New79988
Fresh000
Picked101
Done000
Total80989

Merged error: 2.3b

Counts
89 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt (- (* z z) (* t a))))
0.8b
(- (* z z) (* t a))
2.1b
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
27.7b
(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)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ z (sqrt (- (* z z) (* t a))))
7.0ms
(- (* z z) (* t a))
32.0ms
(* (* x y) (/ z (sqrt (- (* z z) (* t a)))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04281014
12153912
25002894

prune128.0ms

Filtered
124 candidates to 83 candidates (33.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1231124
Fresh088
Picked011
Done000
Total12310133

Merged error: 2.3b

Counts
133 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* z z) (* t a))
0.8b
(* y (/ z (sqrt (- (* z z) (* t a)))))
2.1b
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
27.7b
(sqrt (- (* z z) (* t a)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
18×add-exp-log add-cbrt-cube
13×sqrt-prod
12×pow1
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
4×sqrt-div pow-prod-down
3×flip3-- associate-*r/ flip-- unswap-sqr
2×cbrt-undiv div-exp associate-/r/ *-commutative
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log div-inv
Counts
4 → 92
Calls
4 calls:
6.0ms
(- (* z z) (* t a))
12.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
10.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
4.0ms
(sqrt (- (* z z) (* t a)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* z z) (* t a))
18.0ms
(* y (/ z (sqrt (- (* z z) (* t a)))))
30.0ms
(* x (* y (/ z (sqrt (- (* z z) (* t a))))))
12.0ms
(sqrt (- (* z z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0400774
11768676
25001668

prune110.0ms

Filtered
104 candidates to 67 candidates (35.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh178
Picked011
Done011
Total10410114

Merged error: 2.3b

Counts
114 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (- (* z z) (* t a))) z)
0.8b
(- (* z z) (* t a))
2.2b
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
27.7b
(sqrt (- (* z z) (* t a)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
33×sqrt-prod
25×associate-/r*
18×add-exp-log add-cbrt-cube
7×cbrt-undiv div-exp associate-/l*
6×add-log-exp
5×pow1
4×sqrt-div div-inv
3×flip3-- flip--
2×frac-2neg prod-exp clear-num cbrt-unprod associate-/l/
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log associate-/r/
Counts
4 → 132
Calls
4 calls:
6.0ms
(/ (sqrt (- (* z z) (* t a))) z)
4.0ms
(- (* z z) (* t a))
11.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
4.0ms
(sqrt (- (* z z) (* t a)))

series65.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(/ (sqrt (- (* z z) (* t a))) z)
8.0ms
(- (* z z) (* t a))
30.0ms
(/ (* x y) (/ (sqrt (- (* z z) (* t a))) z))
13.0ms
(sqrt (- (* z z) (* t a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05121325
123581230
250021214

prune107.0ms

Filtered
144 candidates to 99 candidates (31.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1431144
Fresh347
Picked011
Done022
Total1468154

Merged error: 2.3b

Counts
154 → 8

regimes821.0ms

Accuracy

85.4% (2.8b remaining)

Error of 6.2b against oracle of 3.4b and baseline of 22.3b

bsearch64.0ms

Steps
ItersRangePoint
10
5.553597914569579e+123
4.0777380729104453e+133
2.325936127121715e+125
9
-6.427138599234868e+159
-1.037935820522919e+151
-1.0389965001733109e+152

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02710
13310
23310

end0.0ms

sample1.2s

Algorithm
intervals
Results
453.0ms8836×body80valid
142.0ms2926×body80nan

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