Details

Time bar (total: 2.9s)

analyze247.0ms (8.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
1824
022
122
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
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample22.0ms (0.8%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
1812

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.1b
Counts
2 → 1
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
30.0b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite80.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
32.1b
Rules
add-log-exp_binary64_23305 add-sqr-sqrt_binary64_23288
pow1_binary64_23327 add-cube-cbrt_binary64_23301 sqrt-prod_binary64_23282 *-un-lft-identity_binary64_23266
add-exp-log_binary64_23304 add-cbrt-cube_binary64_23302 flip3-+_binary64_23269 sqrt-div_binary64_23283 flip-+_binary64_23240
pow1/2_binary64_23346 sqrt-pow1_binary64_23284 rem-sqrt-square_binary64_23279 sum-log_binary64_23357 +-commutative_binary64_23196
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 453 to 90 computations (80.1% saved)

series300.0ms (10.5%)

Error
0.5b
Counts
2 → 25
Calls

2 calls:

138.0ms
(+.f64 (*.f64 x x) (*.f64 y y))
128.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
Compiler

Compiled 526 to 455 computations (13.5% saved)

simplify130.0ms (4.6%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
04953668
14953668

prune41.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48351
Fresh000
Picked011
Done000
Total48452
Error
0.5b
Counts
52 → 4
Compiler

Compiled 575 to 179 computations (68.9% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0.5b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0.5b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Error
0.5b
Counts
4 → 4
Compiler

Compiled 10 to 9 computations (10% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0.5b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0.5b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0.5b
Counts
4 → 4
Compiler

Compiled 9 to 7 computations (22.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 1/2 (/.f64 (*.f64 x x) y))
7.9b
(/.f64 (*.f64 x x) y)

rewrite55.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
16×add-exp-log_binary64_23304 add-cbrt-cube_binary64_23302
11×add-sqr-sqrt_binary64_23288
add-cube-cbrt_binary64_23301 times-frac_binary64_23272 *-un-lft-identity_binary64_23266 associate-*r*_binary64_23206
prod-exp_binary64_23315 cbrt-unprod_binary64_23299
pow1_binary64_23327 div-exp_binary64_23317 cbrt-undiv_binary64_23300
associate-/r*_binary64_23210 associate-*l*_binary64_23207
add-log-exp_binary64_23305 div-inv_binary64_23263 unswap-sqr_binary64_23234
frac-2neg_binary64_23277 clear-num_binary64_23265 associate-/l*_binary64_23211 pow-prod-down_binary64_23337 associate-*r/_binary64_23208 *-commutative_binary64_23197
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) y))
6.0ms
(/.f64 (*.f64 x x) y)
Compiler

Compiled 742 to 303 computations (59.2% saved)

series189.0ms (6.6%)

Error
0.5b
Counts
2 → 12
Calls

2 calls:

92.0ms
(*.f64 1/2 (/.f64 (*.f64 x x) y))
90.0ms
(/.f64 (*.f64 x x) y)
Compiler

Compiled 324 to 266 computations (17.9% saved)

simplify127.0ms (4.5%)

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
05435644

prune47.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh000
Picked101
Done123
Total62365
Error
0.3b
Counts
65 → 3
Compiler

Compiled 746 to 306 computations (59% saved)

regimes390.0ms (13.7%)

Accuracy

Total 6.5b remaining (97.4%)

Threshold costs 0b (0%)

Compiler

Compiled 1023 to 692 computations (32.4% saved)

bsearch62.0ms (2.2%)

Steps
ItersRangePoint
9
-1.2523351723064216e-152
-3.2412402736992503e-158
-3.2741935890205473e-158
7
-7.191631481673406e+101
-1.2180046028826186e+100
-6.031736331661589e+101
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03040
13040
Compiler

Compiled 54 to 36 computations (33.3% saved)

end0.0ms (0%)

sample1.1s (38.7%)

Algorithm
intervals
Results
341.0ms8000×body128valid
Compiler

Compiled 185 to 130 computations (29.7% saved)

Profiling

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