Details

Time bar (total: 1.5s)

analyze5.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%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 9 to 7 computations (22.2% saved)

sample832.0ms (53.8%)

Results
795.0ms8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
31211

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series11.0ms (0.7%)

Counts
1 → 4
Calls

1 calls:

11.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×sqrt-prod_binary64
10×associate-*l*_binary64
8×*-un-lft-identity_binary64
6×associate-*r*_binary64
Counts
1 → 39
Calls

1 calls:

7.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify67.0ms (4.3%)

Algorithm
1×egg-herbie
Rules
865×fma-neg_binary64
626×distribute-rgt-in_binary64
492×distribute-lft-in_binary64
314×associate-*l*_binary64
262×associate-/r*_binary64
Counts
43 → 51
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
073590
1146578
2355578
3725578
41829568
54473568
64973568

prune84.0ms (5.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh000
Picked101
Done000
Total50252
Error
0b
Counts
52 → 2
Alt Table
StatusErrorProgram
30.2b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
▶0.0b
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
Compiler

Compiled 698 to 458 computations (34.4% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
✓1.1b
(/.f64 1/16 (*.f64 x x))

series5.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
2.0ms
(/.f64 1/16 (*.f64 x x))

rewrite61.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
13×fma-def_binary64
13×*-un-lft-identity_binary64
12×times-frac_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
Counts
2 → 51
Calls

2 calls:

56.0ms
(+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))
3.0ms
(/.f64 1/16 (*.f64 x x))

simplify91.0ms (5.9%)

Algorithm
1×egg-herbie
Rules
592×associate-/l/_binary64
581×associate-/r*_binary64
370×fma-neg_binary64
269×distribute-rgt-in_binary64
244×distribute-lft-in_binary64
Counts
75 → 70
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082743
1191694
2562682
32034682
44992682
55122682

prune70.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh011
Picked011
Done000
Total70272
Error
0b
Counts
72 → 2
Alt Table
StatusErrorProgram
▶30.2b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓0.0b
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
Compiler

Compiled 1362 to 905 computations (33.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.1b
(sqrt.f64 (*.f64 (-.f64 x 1) x))

series5.0ms (0.3%)

Counts
1 → 8
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 (-.f64 x 1) x))

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×sqrt-div_binary64
2×associate-*l/_binary64
2×sqrt-pow1_binary64
1×*-un-lft-identity_binary64
Counts
1 → 15
Calls

1 calls:

3.0ms
(sqrt.f64 (*.f64 (-.f64 x 1) x))

simplify133.0ms (8.6%)

Algorithm
1×egg-herbie
Rules
455×fma-neg_binary64
446×distribute-rgt-in_binary64
369×distribute-lft-in_binary64
331×fma-def_binary64
282×difference-of-squares_binary64
Counts
23 → 37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055238
1111232
2272228
3684228
41676228
54250228
64986228

prune15.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done011
Total37239
Error
0b
Counts
39 → 2
Alt Table
StatusErrorProgram
✓30.2b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓0.0b
(-.f64 x (+.f64 1/2 (+.f64 (/.f64 1/8 x) (/.f64 1/16 (*.f64 x x)))))
Compiler

Compiled 405 to 254 computations (37.3% saved)

regimes49.0ms (3.2%)

Accuracy

Total 0.2b remaining (99.2%)

Threshold costs 0.2b (99.2%)

Counts
21 → 1
Compiler

Compiled 504 to 384 computations (23.8% saved)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
7×+-commutative_binary64
5×sub-neg_binary64
4×*-commutative_binary64
4×distribute-neg-in_binary64
4×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
11519
22519
33419
44919
55419
65619
75319

end78.0ms (5%)

Compiler

Compiled 49 to 35 computations (28.6% saved)

Profiling

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