Details

Time bar (total: 1.7s)

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)

sample851.0ms (50.8%)

Results
805.0ms8256×body128valid
0.0ms5×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

prune2.0ms (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)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series80.0ms (4.8%)

Counts
1 → 4
Calls

1 calls:

80.0ms
(*.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:

8.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify80.0ms (4.8%)

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

prune65.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New49251
Fresh000
Picked011
Done000
Total49352
Error
0b
Counts
52 → 3
Alt Table
StatusErrorProgram
▶0.5b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
5.7b
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))
Compiler

Compiled 702 to 464 computations (33.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

series2.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

2.0ms
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

rewrite55.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
12×prod-diff_binary64
10×add-cube-cbrt_binary64
6×add-log-exp_binary64
Counts
1 → 37
Calls

1 calls:

7.0ms
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

simplify85.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
846×fma-neg_binary64
498×cancel-sign-sub-inv_binary64
488×times-frac_binary64
383×associate-*l*_binary64
324×fma-def_binary64
Counts
49 → 53
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
078782
1157643
2530535
32588535
44019535
54640535
64764535

prune33.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New53053
Fresh011
Picked011
Done011
Total53356
Error
0b
Counts
56 → 3
Alt Table
StatusErrorProgram
✓0.5b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
▶5.7b
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))
Compiler

Compiled 1032 to 789 computations (23.5% saved)

localize12.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x)))
✓0.0b
(log.f64 (sqrt.f64 (-.f64 x 1)))
✓0.0b
(log.f64 (sqrt.f64 x))
✓5.7b
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))

series94.0ms (5.6%)

Counts
4 → 4
Calls

4 calls:

41.0ms
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x)))
30.0ms
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))
13.0ms
(log.f64 (sqrt.f64 (-.f64 x 1)))
9.0ms
(log.f64 (sqrt.f64 x))

rewrite28.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
32×log-prod_binary64
28×*-un-lft-identity_binary64
25×log-pow_binary64
22×add-sqr-sqrt_binary64
22×pow1_binary64
Counts
4 → 110
Calls

4 calls:

8.0ms
(+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x)))
7.0ms
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))
3.0ms
(log.f64 (sqrt.f64 (-.f64 x 1)))
1.0ms
(log.f64 (sqrt.f64 x))

simplify86.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
753×fma-def_binary64
631×associate-/l*_binary64
332×associate-*l/_binary64
311×associate-/r*_binary64
221×associate-/l/_binary64
Counts
114 → 157
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01521530
12791429
26151405
316101394
448741392
548751392

prune71.0ms (4.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1570157
Fresh000
Picked011
Done022
Total1573160
Error
0b
Counts
160 → 3
Alt Table
StatusErrorProgram
✓0.5b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
✓5.7b
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (-.f64 x 1))) (log.f64 (sqrt.f64 x))))
Compiler

Compiled 2631 to 1750 computations (33.5% saved)

regimes21.0ms (1.2%)

Accuracy

Total 0.5b remaining (98.9%)

Threshold costs 0.5b (98.9%)

Counts
8 → 1
Compiler

Compiled 134 to 98 computations (26.9% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
31211

end79.0ms (4.7%)

Compiler

Compiled 43 to 33 computations (23.3% saved)

Profiling

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