Details

Time bar (total: 2.2s)

analyze174.0ms (7.8%)

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
0%99.9%0.1%4
49.9%49.9%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
74.9%25%0.1%8
81.1%18.7%0.1%9
81.1%18.7%0.1%10
81.1%15.6%3.3%11
84.3%10.9%4.8%12
84.3%10.9%4.8%13
84.3%8.6%7.2%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample986.0ms (44.4%)

Symmetry

(sort x y)

Results
851.0ms8256×body128valid
53.0ms492×body128invalid
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify27.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
209×fma-def_binary64
157×fma-neg_binary64
56×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
36×associate-/l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01013
11513
22613
33913
46611
510911
619811
730711
842911
952211
1057811
1159311
1259611
1351311

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))
Compiler

Compiled 42 to 29 computations (31% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

series15.0ms (0.7%)

Counts
1 → 36
Calls

1 calls:

15.0ms
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))

rewrite1.0ms (0%)

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 z -1/8 (/.f64 (*.f64 x y) 2))

simplify55.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
789×fma-def_binary64
653×distribute-rgt-in_binary64
612×distribute-lft-in_binary64
259×associate-*l/_binary64
167×fma-neg_binary64
Counts
46 → 22
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026562
139485
277485
3238485
4933485
54669485
64968485

prune13.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New21122
Fresh000
Picked011
Done000
Total21223
Error
0b
Counts
23 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))
▶1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
Compiler

Compiled 349 to 213 computations (39% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))
✓0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
✓0.5b
(*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
✓0.5b
(cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))

series114.0ms (5.1%)

Counts
3 → 108
Calls

3 calls:

60.0ms
(*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
45.0ms
(cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))
9.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))

rewrite20.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
1.0ms
(cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))

simplify118.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
421×associate-*r*_binary64
336×times-frac_binary64
296×associate-/r*_binary64
288×associate-*l*_binary64
269×associate-/l*_binary64
Counts
201 → 264
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04727363
114676929
251786929

prune497.0ms (22.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New5020502
Fresh000
Picked011
Done011
Total5022504
Error
0b
Counts
504 → 2
Alt Table
StatusErrorProgram
✓0.0b
(fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))
✓1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2)))) (cbrt.f64 (fma.f64 z -1/8 (/.f64 (*.f64 x y) 2))))
Compiler

Compiled 24119 to 15991 computations (33.7% saved)

regimes116.0ms (5.2%)

Accuracy

Total 0.0b remaining (2.3%)

Threshold costs 0.0b (2.3%)

Counts
13 → 1
Compiler

Compiled 1639 to 1232 computations (24.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
21011

end62.0ms (2.8%)

Remove

(sort x y)

Compiler

Compiled 87 to 61 computations (29.9% saved)

Profiling

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