Details

Time bar (total: 1.7s)

analyze326.0ms (19.1%)

Algorithm
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 15 to 11 computations (26.7% saved)

sample29.0ms (1.7%)

Algorithm
intervals
Results
21.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify308.0ms (18%)

Algorithm
egg-herbie
Rules
2074×distribute-lft-out--_binary64
788×distribute-rgt-out--_binary64
756×unsub-neg_binary64
614×sub-neg_binary64
581×distribute-rgt-out_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22420
33120
44520
56020
69620
721320
836420
948620
10109920
11187720
12193120
13216720
14231520
15231320
16239020
17264920
18321220
19420420
20473820
21478020
22479120
23478820
24457320
25436620
26450320
27456320
28460620
29754420

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite111.0ms (6.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
45×*-un-lft-identity_binary64
37×times-frac_binary64
34×add-sqr-sqrt_binary64
28×sqrt-prod_binary64
25×add-cube-cbrt_binary64
Counts
3 → 90
Calls

3 calls:

22.0ms
(+.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 1821 to 1143 computations (37.2% saved)

series36.0ms (2.1%)

Error
0b
Counts
3 → 12
Calls

3 calls:

9.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
9.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
8.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
Compiler

Compiled 368 to 303 computations (17.7% saved)

simplify112.0ms (6.5%)

Algorithm
egg-herbie
Rules
431×associate-/l/_binary64
423×associate-/r*_binary64
378×div-sub_binary64
236×associate-/r/_binary64
222×cancel-sign-sub-inv_binary64
Counts
102 → 48
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01351839
12871776
26451770
316031767
438341767
550441767

prune37.0ms (2.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done000
Total48149
Error
0b
Counts
49 → 1
Alt Table
StatusErrorProgram
0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 732 to 481 computations (34.3% saved)

regimes43.0ms (2.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 280 to 211 computations (24.6% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22420
32820
43020
52920

end1.0ms (0%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample693.0ms (40.5%)

Algorithm
intervals
Results
441.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 44 to 32 computations (27.3% saved)

Profiling

Loading profile data...