Details

Time bar (total: 1.7s)

analyze510.0ms (30.2%)

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
28.1%71.8%0.1%9
37.4%56.9%5.6%10
43.7%50.3%6%11
51.9%42.1%6%12
58.7%32.4%8.9%13
62.9%27.9%9.2%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample825.0ms (48.9%)

Results
786.0ms8256×body128valid
26.0ms284×body128invalid

preprocess26.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
162×fma-def_binary64
153×fma-neg_binary64
48×cancel-sign-sub-inv_binary64
31×sub-neg_binary64
27×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
13328
26028
310528
415428
528528
646928
762028
872228
974328
1074628
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
1
Call 2
Inputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(-.f64 z (*.f64 y x))
(-.f64 x (*.f64 z y))
Outputs
(-.f64 x (*.f64 y z))
(-.f64 y (*.f64 x z))
(fma.f64 x (neg.f64 z) y)
(-.f64 z (*.f64 y x))
(-.f64 z (*.f64 x y))
(fma.f64 y (neg.f64 x) z)
(-.f64 x (*.f64 z y))
(-.f64 x (*.f64 y z))
Symmetry

(sort y z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify12.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
100×fma-def_binary64
56×fma-neg_binary64
29×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2247
3417
4607
5947
61497
71997
82637
93377
103877
113937
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 x (*.f64 y z))
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 y z))

series7.0ms (0.4%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(-.f64 x (*.f64 y z))
1.0ms
z
@-inf
(-.f64 x (*.f64 y z))
0.0ms
y
@inf
(-.f64 x (*.f64 y z))
0.0ms
x
@0
(-.f64 x (*.f64 y z))
0.0ms
x
@inf
(-.f64 x (*.f64 y z))

rewrite38.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
738×pow1_binary64
684×add-log-exp_binary64
684×log1p-expm1-u_binary64
684×expm1-log1p-u_binary64
72×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11327
218577
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 z (neg.f64 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 z (neg.f64 y)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 z (neg.f64 y)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y))) (*.f64 x (*.f64 z (neg.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (neg.f64 y)) (*.f64 z (neg.f64 y)))) (-.f64 x (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))))

simplify25.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
101×fma-def_binary64
56×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
17×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08250
115223
231223
344223
456223
587223
6147223
7195223
8252223
9339223
10389223
11395223
Stop Event
1×saturated
Counts
74 → 43
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) x)
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(fma.f64 -1 (*.f64 y z) x)
(fma.f64 (neg.f64 y) z x)
(fma.f64 z (neg.f64 y) x)
(-.f64 x (*.f64 y z))

prune22.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244
Error
0.0b
Counts
44 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x (*.f64 y z))
▶31.2b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
Compiler

Compiled 551 to 178 computations (67.7% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 y z))
✓0.0b
(sqrt.f64 (-.f64 x (*.f64 y z)))
✓0.3b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)

series18.0ms (1%)

Counts
2 → 24
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
2.0ms
x
@0
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
1.0ms
y
@0
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
1.0ms
y
@inf
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
1.0ms
x
@inf
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)

rewrite46.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
821×log1p-expm1-u_binary64
821×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
88×pow1_binary64
87×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119716
2229016
Stop Event
1×node limit
Counts
2 → 68
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
(sqrt.f64 (-.f64 x (*.f64 y z)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 z) y (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 y) z (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (*.f64 y (neg.f64 z)) 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y z))) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 y z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 y z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 y z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 3) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))) (/.f64 (pow.f64 (*.f64 y z) 3) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y z))) (/.f64 (pow.f64 (*.f64 y z) 2) (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (*.f64 y z)) 1/4) (*.f64 (pow.f64 (-.f64 x (*.f64 y z)) 1/4) (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (pow.f64 (-.f64 x (*.f64 y z)) 1/4)) (pow.f64 (-.f64 x (*.f64 y z)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (-.f64 x (*.f64 y z)))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 y z)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3)) (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2)) (+.f64 x (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 x (*.f64 y (neg.f64 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 x (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 y z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 y z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) (cbrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 x (*.f64 y z)) 1/4) (pow.f64 (-.f64 x (*.f64 y z)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 2)) 1/2) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 y z) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (*.f64 y z) (+.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y z) 2))) (sqrt.f64 (+.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 y z)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 y z)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 x (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 y z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 y z)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 y z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 x (*.f64 y z)))))))))

simplify27.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
609×fma-def_binary64
568×associate-*r*_binary64
535×associate-*l*_binary64
218×associate-/r*_binary64
196×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105661
1323577
21168543
Stop Event
1×node limit
Counts
92 → 94
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2)
(+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6)))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6)))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) x)))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))) x)))
(sqrt.f64 (neg.f64 (*.f64 y z)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z))))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z)))))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
Outputs
(pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2)
(pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x)
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6)))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x))
(fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) 2)) (/.f64 5/64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6))) (pow.f64 x 4) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) 2))) (pow.f64 x 4) (fma.f64 y (neg.f64 z) x))
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 z (neg.f64 y)) 3)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) 3)) 2)) (pow.f64 x 4) x) (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 6)))) (pow.f64 x 4)) (+.f64 (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 2) x))
(fma.f64 (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) 2)) (/.f64 5/64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6))) (pow.f64 x 4) (+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2)))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 6)) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) 2))) (pow.f64 x 4) (fma.f64 y (neg.f64 z) x))
(-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 1 (pow.f64 (*.f64 z (neg.f64 y)) 3)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) 3)) 2)) (pow.f64 x 4) x) (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 z 2) x)) (*.f64 -1/4 (/.f64 (pow.f64 z 2) x))) (pow.f64 y 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))) (*.f64 -1/8 (/.f64 (pow.f64 z 3) (pow.f64 x 2))))) x)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 y 2) x)) (*.f64 1/4 (/.f64 (pow.f64 y 2) x))) (pow.f64 z 2)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))) (*.f64 1/8 (/.f64 (pow.f64 y 3) (pow.f64 x 2))))) x)))
(+.f64 x (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 2))
(fma.f64 y (neg.f64 z) x)
(-.f64 x (*.f64 y z))
(sqrt.f64 (neg.f64 (*.f64 y z)))
(sqrt.f64 (*.f64 y (neg.f64 z)))
(sqrt.f64 (*.f64 z (neg.f64 y)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z))))))
(+.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (/.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 y (neg.f64 z)))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 y (neg.f64 z)))) (sqrt.f64 (*.f64 y (neg.f64 z))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 z (neg.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 y))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z)))))))
(fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) (+.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (/.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 y (neg.f64 z))))))
(fma.f64 -1/8 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 y (neg.f64 z)))) (sqrt.f64 (*.f64 y (neg.f64 z)))))
(fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) 3)) x) (fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 z (neg.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 y)))))
(+.f64 (*.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) 3))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 y z))) (*.f64 1/2 (/.f64 x (sqrt.f64 (neg.f64 (*.f64 y z))))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 5)) (fma.f64 -1/8 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3)) (+.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) (/.f64 (*.f64 1/2 x) (sqrt.f64 (*.f64 y (neg.f64 z)))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 5)) (fma.f64 -1/8 (/.f64 x (/.f64 (pow.f64 (sqrt.f64 (*.f64 y (neg.f64 z))) 3) x)) (fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 y (neg.f64 z)))) (sqrt.f64 (*.f64 y (neg.f64 z))))))
(fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) 5)) (fma.f64 -1/8 (*.f64 (/.f64 x (pow.f64 (sqrt.f64 (*.f64 z (neg.f64 y))) 3)) x) (fma.f64 1/2 (/.f64 x (sqrt.f64 (*.f64 z (neg.f64 y)))) (sqrt.f64 (*.f64 z (neg.f64 y))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 y z)) (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (sqrt.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 y z)) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/8 (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (sqrt.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (*.f64 -1/16 (pow.f64 y 3)) (pow.f64 z 3))))
(fma.f64 -1/8 (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (fma.f64 -1/16 (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 y 3))) (sqrt.f64 x))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 y z)) (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))
(fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (sqrt.f64 x))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (*.f64 (*.f64 -1/2 (*.f64 y z)) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x)))
(fma.f64 -1/8 (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (sqrt.f64 x)))
(+.f64 (*.f64 -1/8 (*.f64 (*.f64 (pow.f64 y 2) (pow.f64 z 2)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 x)))) (*.f64 -1/16 (*.f64 (*.f64 (pow.f64 y 3) (pow.f64 z 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))))
(fma.f64 -1/8 (*.f64 (*.f64 (*.f64 z z) (*.f64 y y)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (sqrt.f64 x) (fma.f64 -1/2 (*.f64 y (*.f64 z (sqrt.f64 (/.f64 1 x)))) (*.f64 (*.f64 -1/16 (*.f64 (pow.f64 y 3) (pow.f64 z 3))) (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(+.f64 (fma.f64 -1/8 (*.f64 (*.f64 z z) (*.f64 (*.f64 y y) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 -1/2 (*.f64 z (*.f64 y (sqrt.f64 (/.f64 1 x)))) (sqrt.f64 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 (*.f64 -1/16 (pow.f64 y 3)) (pow.f64 z 3))))
(fma.f64 -1/8 (*.f64 (*.f64 y z) (*.f64 (*.f64 y z) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (fma.f64 y (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 z -1/2)) (fma.f64 -1/16 (*.f64 (pow.f64 z 3) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (pow.f64 y 3))) (sqrt.f64 x))))

prune55.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139
Error
0.0b
Counts
139 → 2
Alt Table
StatusErrorProgram
✓0.0b
(-.f64 x (*.f64 y z))
✓31.2b
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 y z))) 2)
Compiler

Compiled 2272 to 937 computations (58.8% saved)

regimes33.0ms (1.9%)

Accuracy

Total -32.4b remaining (-617238.9%)

Threshold costs -32.4b (-617238.9%)

Counts
8 → 1
Compiler

Compiled 100 to 43 computations (57% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×*-commutative_binary64
4×sub-neg_binary64
3×neg-sub0_binary64
3×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2247
3307
4347
5357
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 y z))
Outputs
(-.f64 x (*.f64 y z))

end28.0ms (1.7%)

Stop Event
1×done
Remove

(sort y z)

Compiler

Compiled 45 to 23 computations (48.9% saved)

Profiling

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