Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0209
1409
2789
31349
42009
52339
62399
72399

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: 30.9b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
3.0b
(- (* x x) (* (* y 4.0) y))
30.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite21.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg fma-def frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num sum-log div-inv
Counts
3 → 64
Calls
3 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
5.0ms
(- (* x x) (* (* y 4.0) y))
9.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series168.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(+ (* x x) (* (* y 4.0) y))
53.0ms
(- (* x x) (* (* y 4.0) y))
71.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0254719
11175657
25001641

prune183.0ms

Filtered
73 candidates to 59 candidates (80.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New68573
Fresh000
Picked101
Done000
Total69574

Merged error: 0.2b

Counts
74 → 5

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune8.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 0.2b

Counts
5 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.6b
(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
3.0b
(- (* x x) (* (* y 4.0) y))
30.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×add-log-exp
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u
4×pow1 log1p-expm1-u
3×associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg log1p-udef fma-def frac-2neg fma-neg diff-log div-sub log1p-expm1 div-exp prod-diff clear-num sum-log div-inv
Counts
4 → 75
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
1.0ms
(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
4.0ms
(- (* x x) (* (* y 4.0) y))
11.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series324.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* x x) (* (* y 4.0) y))
157.0ms
(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
48.0ms
(- (* x x) (* (* y 4.0) y))
75.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0282868
11235783
25001764

prune234.0ms

Filtered
87 candidates to 70 candidates (80.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh033
Picked011
Done011
Total87592

Merged error: 0.2b

Counts
92 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

3.0b
(- (* x x) (* (* y 4.0) y))
30.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
30.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
30.2b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/r/ associate-/l/ add-log-exp
4×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv
1×sub-neg fma-neg diff-log prod-diff
Counts
4 → 118
Calls
4 calls:
4.0ms
(- (* x x) (* (* y 4.0) y))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* x x) (* (* y 4.0) y))
74.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
70.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
75.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
02371605
111141473
250021451

prune409.0ms

Filtered
130 candidates to 110 candidates (84.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh022
Picked011
Done022
Total1305135

Merged error: 0.2b

Counts
135 → 5

regimes176.0ms

Accuracy

61.1% (12.1b remaining)

Error of 12.5b against oracle of 0.3b and baseline of 31.5b

bsearch170.0ms

Steps
ItersRangePoint
10
3.2351134818706724e+46
9.517445069538902e+62
9.297535170302716e+62
8
3.080416340805835e-133
1.413974522623055e-130
2.1784374534418983e-131
8
-1.8650228634739456e-109
-1.6807914009172347e-112
-6.324179611057156e-110
5
-2.1804788916246727e+94
-8.504827414387646e+93
-2.1469124341159173e+94

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03443
13443

end0.0ms

sample371.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid

Profiling

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