Details

Time bar (total: 1.9s)

analyze11.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample17.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05519
15519

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
2.0b
(- (* x x) (* (* y 4.0) y))
28.4b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049791205
149791205

prune103.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New57663
Fresh000
Picked101
Done000
Total58664

Merged error: 0b

Counts
64 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
1.4b
(/ 4.0 (+ (* x x) (* y (* y 4.0))))
15.3b
(/ x (+ (* x x) (* y (* y 4.0))))
16.0b
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt *-un-lft-identity
30×associate-*r*
18×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 126
Calls
4 calls:
8.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
5.0ms
(/ 4.0 (+ (* x x) (* y (* y 4.0))))
5.0ms
(/ x (+ (* x x) (* y (* y 4.0))))
8.0ms
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* x (/ x (+ (* x x) (* y (* y 4.0)))))
7.0ms
(/ 4.0 (+ (* x x) (* y (* y 4.0))))
8.0ms
(/ x (+ (* x x) (* y (* y 4.0))))
9.0ms
(* y (/ 4.0 (+ (* x x) (* y (* y 4.0)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050561998

prune190.0ms

Filtered
103 candidates to 138 candidates (-34.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1380138
Fresh055
Picked011
Done000
Total1386144

Merged error: 0b

Counts
144 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
0.0b
(+ (* x x) (* y (* y 4.0)))
2.0b
(- (* x x) (* y (* y 4.0)))
28.4b
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
16×log-pow
15×exp-prod
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×pow1
4×associate-/r/
3×log-prod flip3-+ associate-/r* flip-+ associate-/l*
2×flip3-- div-sub flip-- div-inv associate-/l/
1×cbrt-undiv +-commutative sub-neg log-div frac-2neg exp-diff diff-log div-exp rem-log-exp clear-num sum-log
Counts
4 → 82
Calls
4 calls:
7.0ms
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
4.0ms
(+ (* x x) (* y (* y 4.0)))
3.0ms
(- (* x x) (* y (* y 4.0)))
8.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(log (exp (/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))))
6.0ms
(+ (* x x) (* y (* y 4.0)))
7.0ms
(- (* x x) (* y (* y 4.0)))
11.0ms
(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify54.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050141826

prune150.0ms

Filtered
74 candidates to 94 candidates (-27.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh044
Picked011
Done011
Total946100

Merged error: 0b

Counts
100 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y (* y 4.0)))
1.3b
(/ 1 (+ (* x x) (* y (* y 4.0))))
2.0b
(- (* x x) (* (* y 4.0) y))
28.7b
(* (- (* x x) (* (* y 4.0) y)) (/ 1 (+ (* x x) (* y (* y 4.0)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
4×div-exp prod-exp associate-/r/
3×flip3-- flip3-+ associate-*l* associate-/r* flip-- flip-+ associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls
4 calls:
3.0ms
(+ (* x x) (* y (* y 4.0)))
5.0ms
(/ 1 (+ (* x x) (* y (* y 4.0))))
3.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(* (- (* x x) (* (* y 4.0) y)) (/ 1 (+ (* x x) (* y (* y 4.0)))))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ (* x x) (* y (* y 4.0)))
7.0ms
(/ 1 (+ (* x x) (* y (* y 4.0))))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(* (- (* x x) (* (* y 4.0) y)) (/ 1 (+ (* x x) (* y (* y 4.0)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049401751
149401751

prune118.0ms

Filtered
73 candidates to 109 candidates (-49.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh033
Picked011
Done022
Total1096115

Merged error: 0b

Counts
115 → 6

regimes252.0ms

Accuracy

62% (11.5b remaining)

Error of 11.9b against oracle of 0.4b and baseline of 30.7b

bsearch104.0ms

Steps
ItersRangePoint
7
1.3964226730194918e+143
1.1466347848298621e+145
1.0372865124027682e+145
6
4.1650997148362945e-141
3.8936882864022755e-140
1.308403323997654e-140
6
-4.4491204256108706e-103
-3.4566918374751126e-104
-3.7022277369309344e-104
6
-7.899370133718909e+136
-7.348495105798883e+135
-3.5921208014456914e+136

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03869
13869

end0.0ms

analyze10.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample452.0ms

Algorithm
intervals
Results
337.0ms8000×body80valid

Profiling

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