Details

Time bar (total: 1.4s)

analyze83.0ms (5.9%)

Algorithm
search
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
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample30.0ms (2.2%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify7.0ms (0.5%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
+-commutative_binary64
1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21710
32010
42110
52010

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
8.9b
Counts
2 → 1
Alt Table
StatusErrorProgram
8.9b
(/.f64 (*.f64 x y) (+.f64 y 1))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
8.3b
(/.f64 (*.f64 x y) (+.f64 y 1))

series10.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

10.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))

rewrite10.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
times-frac_binary64
Counts
1 → 27
Calls

1 calls:

8.0ms
(/.f64 (*.f64 x y) (+.f64 y 1))

simplify69.0ms (4.9%)

Algorithm
egg-herbie
Rules
713×fma-neg_binary64
694×times-frac_binary64
647×fma-def_binary64
447×associate-/l*_binary64
224×cancel-sign-sub-inv_binary64
Counts
51 → 54
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082672
1217596
2717591
33018590
44493590
55048590

prune40.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh000
Picked011
Done000
Total52355
Error
0b
Counts
55 → 3
Alt Table
StatusErrorProgram
8.9b
(/.f64 (*.f64 x y) (+.f64 y 1))
29.4b
(-.f64 x (/.f64 x y))
21.0b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))
Compiler

Compiled 725 to 408 computations (43.7% saved)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 x (sqrt.f64 (+.f64 y 1)))
1.5b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))
2.7b
(*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1))))

series65.0ms (4.7%)

Counts
3 → 56
Calls

3 calls:

30.0ms
(*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1))))
24.0ms
(/.f64 x (sqrt.f64 (+.f64 y 1)))
11.0ms
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))

rewrite35.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity_binary64
51×times-frac_binary64
46×add-sqr-sqrt_binary64
38×add-cube-cbrt_binary64
37×sqrt-prod_binary64
Counts
3 → 132
Calls

3 calls:

12.0ms
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))
9.0ms
(*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1))))
5.0ms
(/.f64 x (sqrt.f64 (+.f64 y 1)))

simplify180.0ms (12.9%)

Algorithm
egg-herbie
Rules
694×fma-neg_binary64
381×cancel-sign-sub-inv_binary64
340×associate-/r/_binary64
331×associate-/r*_binary64
309×*-commutative_binary64
Counts
188 → 181
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01943243
14722763
216582739
335902730
447422730
549672730
649482730

prune99.0ms (7.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1810181
Fresh011
Picked011
Done011
Total1813184
Error
0b
Counts
184 → 3
Alt Table
StatusErrorProgram
8.9b
(/.f64 (*.f64 x y) (+.f64 y 1))
29.4b
(-.f64 x (/.f64 x y))
21.0b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))
Compiler

Compiled 3663 to 2477 computations (32.4% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 x y))

series7.0ms (0.5%)

Counts
1 → 15
Calls

1 calls:

6.0ms
(-.f64 x (/.f64 x y))

rewrite14.0ms (1%)

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
43×add-cube-cbrt_binary64
39×prod-diff_binary64
37×times-frac_binary64
Counts
1 → 71
Calls

1 calls:

6.0ms
(-.f64 x (/.f64 x y))

simplify91.0ms (6.5%)

Algorithm
egg-herbie
Rules
457×fma-neg_binary64
391×associate-*l/_binary64
357×associate-*r/_binary64
325×associate-/l*_binary64
322×fma-def_binary64
Counts
86 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01711316
1428949
2960715
33610715
44080715
54905715
64683715

prune30.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385
Error
0b
Counts
85 → 3
Alt Table
StatusErrorProgram
8.9b
(/.f64 (*.f64 x y) (+.f64 y 1))
29.4b
(-.f64 x (/.f64 x y))
21.0b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 (+.f64 y 1)))) (sqrt.f64 (+.f64 y 1)))
Compiler

Compiled 2096 to 518 computations (75.3% saved)

regimes83.0ms (5.9%)

Accuracy

Total 0.0b remaining (50.4%)

Threshold costs 0.0b (50.4%)

Counts
26 → 1
Compiler

Compiled 1127 to 760 computations (32.6% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11210
21110

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample527.0ms (37.7%)

Algorithm
intervals
Results
273.0ms8000×body128valid
Compiler

Compiled 52 to 36 computations (30.8% saved)

Profiling

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