Details

Time bar (total: 1.2s)

analyze52.0ms (4.3%)

Algorithm
1×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
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample867.0ms (70.7%)

Results
662.0ms7667×body128valid
57.0ms207×body1024valid
53.0ms169×body2048valid
28.0ms133×body512valid
10.0ms80×body256valid
0.0ms2×body128invalid
Compiler

Compiled 29 to 20 computations (31% saved)

simplify21.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
254×fma-neg_binary64
112×fma-def_binary64
90×cancel-sign-sub-inv_binary64
48×sub-neg_binary64
40×distribute-rgt-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0710
11310
22410
34310
47910
514610
624410
73488
84428
95958
106508
115908

prune5.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(fma.f64 (-.f64 x y) 1/2 x)
Compiler

Compiled 31 to 18 computations (41.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (-.f64 x y) 1/2 x)

series4.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(fma.f64 (-.f64 x y) 1/2 x)

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 (-.f64 x y) 1/2 x)

simplify44.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
854×distribute-neg-out_binary64
765×unsub-neg_binary64
531×fma-def_binary64
337×associate-*l*_binary64
272×associate-*r*_binary64
Counts
34 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022331
135278
268278
3169278
4658278
52504278
65244278

prune17.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New18422
Fresh000
Picked101
Done000
Total19423
Error
0.1b
Counts
23 → 4
Alt Table
StatusErrorProgram
30.8b
(*.f64 (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (sqrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x))) (cbrt.f64 (fma.f64 (-.f64 x y) 1/2 x)))
40.1b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 (-.f64 x y) 1/2 x) (fma.f64 (-.f64 x y) 1/2 x)) (fma.f64 (-.f64 x y) 1/2 x)))
▶0.1b
(fma.f64 -1/2 y (*.f64 3/2 x))
Compiler

Compiled 367 to 216 computations (41.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 -1/2 y (*.f64 3/2 x))

series4.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(fma.f64 -1/2 y (*.f64 3/2 x))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 -1/2 y (*.f64 3/2 x))

simplify48.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
738×fma-def_binary64
708×unsub-neg_binary64
689×associate-*l*_binary64
578×distribute-rgt-in_binary64
572×distribute-neg-out_binary64
Counts
34 → 23
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020328
130275
255275
3186275
4727275
52964275
65009275

prune12.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New22123
Fresh303
Picked101
Done000
Total26127
Error
0b
Counts
27 → 1
Alt Table
StatusErrorProgram
▶0b
(fma.f64 3/2 x (*.f64 y -1/2))
Compiler

Compiled 240 to 177 computations (26.3% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 3/2 x (*.f64 y -1/2))

series4.0ms (0.3%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(fma.f64 3/2 x (*.f64 y -1/2))

rewrite1.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 3/2 x (*.f64 y -1/2))

simplify48.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
738×fma-def_binary64
727×unsub-neg_binary64
687×associate-*l*_binary64
578×distribute-rgt-in_binary64
574×distribute-neg-out_binary64
Counts
34 → 21
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021292
129275
255275
3188275
4732275
52991275
64956275

prune9.0ms (0.7%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done000
Total21122
Error
0b
Counts
22 → 1
Alt Table
StatusErrorProgram
✓0b
(fma.f64 3/2 x (*.f64 y -1/2))
Compiler

Compiled 222 to 164 computations (26.1% saved)

regimes43.0ms (3.5%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts
13 → 1
Compiler

Compiled 459 to 302 computations (34.2% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
188
288

end31.0ms (2.6%)

Compiler

Compiled 24 to 18 computations (25% saved)

Profiling

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