Details

Time bar (total: 3.9s)

analyze847.0ms (21.7%)

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
0%99.9%0.1%5
0%81.1%18.9%6
0%81.1%18.9%7
9.4%68.6%22%8
14%53%32.9%9
16.4%50.7%32.9%10
24.6%40.2%35.3%11
28.7%30.2%41.1%12
30.7%28.2%41.1%13
35.8%21.7%42.5%14
Compiler

Compiled 41 to 24 computations (41.5% saved)

sample3.0s (75.8%)

Results
2.6s7788×body256valid
218.0ms1265×body128invalid
91.0ms468×body128valid

preprocess36.0ms (0.9%)

Algorithm
egg-herbie
Rules
371×fma-def_binary64
300×associate-/l*_binary64
260×distribute-rgt-in_binary64
256×times-frac_binary64
255×div-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054208
1165200
2545200
31762192
033
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g))) h))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g))) h))) (cbrt.f64 (*.f64 (+.f64 h (sqrt.f64 (-.f64 (*.f64 h h) (*.f64 g g)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (neg.f64 (*.f64 (+.f64 a (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))) (/.f64 1/2 g)))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h))) a))) (cbrt.f64 (*.f64 (+.f64 a (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 h h)))) (/.f64 -1/2 g))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))) (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 a a)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 a) (*.f64 g g))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (fma.f64 a (neg.f64 a) (*.f64 g g)))) (/.f64 -1/2 h))))
Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify30.0ms (0.8%)

Algorithm
egg-herbie
Rules
725×fma-neg_binary64
355×fma-def_binary64
203×distribute-rgt-in_binary64
194×associate-/l*_binary64
192×div-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02052
15450
215450
347848
4127948
5258148
6382348
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (*.f64 h h))))))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (*.f64 h h))))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
32.6b
Counts
3 → 1
Alt Table
StatusErrorProgram
32.6b
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g))) (cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
Compiler

Compiled 139 to 70 computations (49.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.8b
(-.f64 (*.f64 g g) (*.f64 h h))
8.7b
(cbrt.f64 (*.f64 (+.f64 g (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
9.5b
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
25.1b
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))

series8.0ms (0.2%)

Calls

8 calls:

TimeVariablePointExpression
2.0ms
h
@inf
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
1.0ms
a
@0
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))
1.0ms
g
@0
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
1.0ms
g
@inf
(sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))
1.0ms
a
@inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))

end0.0ms (0%)

Calls

1 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h))) g)))

Profiling

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