Details

Time bar (total: 1.6s)

analyze5.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample20.0ms (1.2%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify385.0ms (23.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (287.0ms)

IterNodesCost
0754420

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

rewrite132.0ms (8.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
45×*-un-lft-identity_binary64_1442
37×times-frac_binary64_1448
34×add-sqr-sqrt_binary64_1464
28×sqrt-prod_binary64_1458
25×add-cube-cbrt_binary64_1477
10×difference-of-squares_binary64_1411
8×distribute-lft-out_binary64_1393 associate-/l*_binary64_1387
7×div-inv_binary64_1439
5×add-log-exp_binary64_1481 add-exp-log_binary64_1480 add-cbrt-cube_binary64_1478
4×pow1_binary64_1503 sqrt-div_binary64_1459
3×distribute-rgt-out_binary64_1395 associate-/r*_binary64_1386
2×flip3--_binary64_1446 flip--_binary64_1417 associate-/l/_binary64_1389
1×sum-log_binary64_1533 frac-add_binary64_1450 flip3-+_binary64_1445 flip-+_binary64_1416 distribute-rgt1-in_binary64_1398 +-commutative_binary64_1372 pow1/2_binary64_1522 sqrt-pow1_binary64_1460 rem-sqrt-square_binary64_1455 div-exp_binary64_1493 cbrt-undiv_binary64_1476 frac-2neg_binary64_1453 clear-num_binary64_1441
Counts
3 → 90
Calls

3 calls:

23.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 2001 to 1256 computations (37.2% saved)

series104.0ms (6.5%)

Error
0b
Counts
3 → 18
Calls

3 calls:

34.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
33.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
23.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Compiler

Compiled 552 to 471 computations (14.7% saved)

simplify56.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
048811908
148811908

prune102.0ms (6.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh000
Picked011
Done000
Total1072109
Error
0b
Counts
109 → 2
Compiler

Compiled 2020 to 1309 computations (35.2% saved)

localize4.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 0 to 0 computations (0% saved)

regimes62.0ms (3.8%)

Accuracy

Total 0.0b remaining (2.6%)

Threshold costs 0.0b (2.6%)

Compiler

Compiled 393 to 299 computations (23.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03020
13020

end0.0ms (0%)

sample722.0ms (44.7%)

Algorithm
1×intervals
Results
407.0ms8000×body128valid
0.0ms5×body128nan
Compiler

Compiled 115 to 91 computations (20.9% saved)

Profiling

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