Details

Time bar (total: 3.1s)

analyze25.0ms (0.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%18.7%81.3%0
0%18.7%81.3%1
0%18.7%81.3%2
0%18.7%81.3%3
0%18.7%81.3%4
4.7%14%81.3%5
5.3%13.5%81.3%6
18.1%0.6%81.3%7
18.1%0.6%81.3%8
18.6%0.1%81.3%9
18.6%0.1%81.3%10
18.7%0%81.3%11
18.7%0%81.3%12
18.7%0%81.3%13
18.7%0%81.3%14
Compiler

Compiled 23 to 15 computations (34.8% saved)

sample42.0ms (1.3%)

Algorithm
intervals
Results
19.0ms256×body128valid
10.0ms256×pre128true
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify428.0ms (13.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
0494622
1494622

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1
Compiler

Compiled 30 to 18 computations (40% saved)

localize18.0ms (0.6%)

Local error

Found 1 expressions with local error:

21.1b
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite36.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
associate-/l/_binary64_1374
add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
flip3-+_binary64_1428 flip-+_binary64_1399 frac-times_binary64_1435
flip--_binary64_1400 times-frac_binary64_1431 associate-/r*_binary64_1371 add-cube-cbrt_binary64_1457 add-sqr-sqrt_binary64_1446 flip3--_binary64_1429 *-un-lft-identity_binary64_1425
associate-*r/_binary64_1369 associate-/r/_binary64_1373 div-exp_binary64_1473 associate-*l/_binary64_1370 cbrt-undiv_binary64_1456
frac-2neg_binary64_1436 prod-exp_binary64_1471 cbrt-unprod_binary64_1455 clear-num_binary64_1424 div-inv_binary64_1422 associate-/l*_binary64_1372 pow1_binary64_1483 add-log-exp_binary64_1461
Counts
1 → 31
Calls

1 calls:

29.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

series183.0ms (5.9%)

Counts
1 → 3
Calls

1 calls:

183.0ms
(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

simplify94.0ms (3%)

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
05542785

prune60.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31334
Fresh000
Picked011
Done000
Total31435

Merged error: 0.7b

Counts
35 → 4
Compiler

Compiled 778 to 162 computations (79.2% saved)

localize18.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
20.3b
(/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite74.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity_binary64_1425
27×add-sqr-sqrt_binary64_1446
25×times-frac_binary64_1431
20×add-cube-cbrt_binary64_1457
18×associate-*r*_binary64_1367
add-cbrt-cube_binary64_1458 add-exp-log_binary64_1460
distribute-lft-out_binary64_1378
associate-*l*_binary64_1368
associate-/r/_binary64_1373 associate-/l*_binary64_1372 pow1_binary64_1483
associate-/r*_binary64_1371 flip3-+_binary64_1428 flip-+_binary64_1399
flip--_binary64_1400 unswap-sqr_binary64_1393 prod-exp_binary64_1471 cbrt-unprod_binary64_1455 div-inv_binary64_1422 div-exp_binary64_1473 associate-/l/_binary64_1374 associate-*l/_binary64_1370 flip3--_binary64_1429 cbrt-undiv_binary64_1456 add-log-exp_binary64_1461 frac-times_binary64_1435
frac-2neg_binary64_1436 distribute-lft-out--_binary64_1379 clear-num_binary64_1424 associate-*r/_binary64_1369 difference-of-squares_binary64_1394 *-commutative_binary64_1358 pow-prod-down_binary64_1493
Counts
2 → 78
Calls

2 calls:

39.0ms
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
18.0ms
(/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))

series291.0ms (9.4%)

Counts
2 → 6
Calls

2 calls:

172.0ms
(*.f64 (-.f64 x y) (/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y))))
119.0ms
(/.f64 (+.f64 x y) (+.f64 (*.f64 x x) (*.f64 y y)))

simplify109.0ms (3.5%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
050231980

prune112.0ms (3.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.7b

Counts
88 → 4
Compiler

Compiled 1971 to 278 computations (85.9% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify13.0ms (0.4%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.7b

Counts
4 → 4
Compiler

Compiled 1 to 3 computations (-200% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify15.0ms (0.5%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044

Merged error: 0.7b

Counts
4 → 4
Compiler

Compiled 0 to 0 computations (0% saved)

regimes111.0ms (3.6%)

Compiler

Compiled 130 to 98 computations (24.6% saved)

bsearch92.0ms (2.9%)

Steps
ItersRangePoint
9
2.1051628416360415e-163
3.2507465138406735e-156
1.5896224530620027e-162
11
-1.307747998292757e-143
-8.896720665076994e-173
-1.5761507533446967e-162
6
-2.1063269272083513e+154
-2.714757572758138e+153
-1.3371414335403076e+154
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03744
13744

end0.0ms (0%)

sample1.4s (44.3%)

Algorithm
intervals
Results
571.0ms8000×body128valid
291.0ms8000×pre128true
Compiler

Compiled 121 to 84 computations (30.6% saved)

Profiling

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