Details

Time bar (total: 8.3s)

analyze262.0ms (3.2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
37.5%37.4%62.4%0.1%0%0%0%8
37.5%37.4%62.4%0.1%0%0%0%9
56.3%56.2%43.7%0.1%0%0%0%10
65.6%65.5%34.3%0.1%0%0%0%11
65.6%65.5%34.3%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.2s (26.3%)

Results
1.1s6206×body256valid
820.0ms1354×body1024valid
264.0ms694×body512valid
3.0msbody2048valid
Bogosity

preprocess95.0ms (1.1%)

Algorithm
egg-herbie
Rules
1504×fma-def
632×associate-+l+
628×associate-+l-
566×associate--r+
440×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024108
159108
2142108
3248108
4440108
5787108
61691108
72595108
83620108
94098108
104130108
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (fma.f64 (sin.f64 y) (neg.f64 z) (cos.f64 y)))
(-.f64 (+.f64 y (cos.f64 x)) (*.f64 z (sin.f64 x)))
(+.f64 y (-.f64 (cos.f64 x) (*.f64 z (sin.f64 x))))
(+.f64 y (fma.f64 (sin.f64 x) (neg.f64 z) (cos.f64 x)))
(-.f64 (+.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))
(-.f64 (cos.f64 y) (-.f64 (*.f64 x (sin.f64 y)) z))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) (neg.f64 x) z))
(-.f64 (+.f64 x (cos.f64 z)) (*.f64 y (sin.f64 z)))
(+.f64 x (-.f64 (cos.f64 z) (*.f64 y (sin.f64 z))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify38.0ms (0.5%)

Algorithm
egg-herbie
Rules
392×fma-def
246×associate-+l-
218×associate--r+
182×associate--l+
156×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
24327
37227
412327
520427
639827
766227
886027
9119627
10130027
11131027
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))

eval1.0ms (0%)

Compiler

Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.0b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 27 to 8 computations (70.4% saved)

series5.0ms (0.1%)

Counts
2 → 40
Calls

15 calls:

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

rewrite100.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1090×associate-*r/
1080×distribute-lft-in
1030×associate-*l/
446×associate-+l+
270×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124038
2337038
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(*.f64 z (sin.f64 y))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Outputs
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simplify145.0ms (1.7%)

Algorithm
egg-herbie
Rules
1146×+-commutative
794×fma-def
664×associate--r+
618×associate-*r*
600×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049913291
1146712183
2649512183
Stop Event
node limit
Counts
235 → 269
Calls
Call 1
Inputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (*.f64 1 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 (cos.f64 y) (*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (+.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 1 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
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(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))))) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
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(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1) (+.f64 (-.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (neg.f64 (sin.f64 y))) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (-.f64 (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) (*.f64 z (neg.f64 (sin.f64 y)))) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) 1) (neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (+.f64 (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (+.f64 x (cos.f64 y)) 3)) (+.f64 (*.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 1 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
(*.f64 y z)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (*.f64 y z))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y z))
(*.f64 z (+.f64 y (*.f64 -1/6 (pow.f64 y 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (*.f64 1/120 (*.f64 (pow.f64 y 5) z))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 1/120 (*.f64 z (pow.f64 y 5)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (*.f64 z (+.f64 y (*.f64 1/120 (pow.f64 y 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 y 3) z)) (+.f64 (*.f64 y z) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 y 7) z)) (*.f64 1/120 (*.f64 (pow.f64 y 5) z)))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (fma.f64 -1/5040 (*.f64 z (pow.f64 y 7)) (*.f64 1/120 (*.f64 z (pow.f64 y 5))))))
(fma.f64 -1/6 (*.f64 z (pow.f64 y 3)) (fma.f64 y z (*.f64 z (+.f64 (*.f64 1/120 (pow.f64 y 5)) (*.f64 -1/5040 (pow.f64 y 7))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(-.f64 1 (-.f64 (*.f64 y z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 (*.f64 z (pow.f64 y 3)) 1/6 x)) (-.f64 1 (*.f64 y z)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (sin.f64 y)))) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 z (sin.f64 y)) 1)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) 2)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 3)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 1/3)
(*.f64 z (sin.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2))
(fabs.f64 (*.f64 z (sin.f64 y)))
(log.f64 (pow.f64 (exp.f64 z) (sin.f64 y)))
(*.f64 z (sin.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (sin.f64 y)))))
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3))
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(exp.f64 (*.f64 (log.f64 (*.f64 z (sin.f64 y))) 1))
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (sin.f64 y))))
(*.f64 z (sin.f64 y))
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 x (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 x (*.f64 1 (*.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (-.f64 x (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (+.f64 x (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (*.f64 1 (+.f64 x (*.f64 z (neg.f64 (sin.f64 y))))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (cos.f64 y) (*.f64 1 (-.f64 x (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
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(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y)))))
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(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1)
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(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 1 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
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(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
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(fma.f64 (sqrt.f64 (+.f64 x (cos.f64 y))) (sqrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
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(-.f64 x (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) 2) (cbrt.f64 (+.f64 x (cos.f64 y))) (*.f64 z (neg.f64 (sin.f64 y))))
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localize37.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.0ms
z
@inf
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.0ms
y
@-inf
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.0ms
y
@0
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.0ms
z
@0
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))

rewrite69.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1046×*-commutative
820×unswap-sqr
584×swap-sqr
522×distribute-lft-in
504×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
124723
2318623
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 1) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 y) z) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 (cos.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))))

simplify72.0ms (0.9%)

Algorithm
egg-herbie
Rules
984×distribute-lft-in
942×distribute-rgt-in
854×*-commutative
690×fma-def
636×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01362647
13562487
212782481
351272477
Stop Event
node limit
Counts
77 → 82
Calls
Call 1
Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 x (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(+.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))
(+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x)
(+.f64 (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 1) (cos.f64 y))
(+.f64 (*.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) 1) x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y)))) (-.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x)) (-.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))) (*.f64 (sin.f64 y) z)))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (+.f64 x (cos.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (/.f64 x (/.f64 (-.f64 x (cos.f64 y)) x))) (/.f64 (pow.f64 (cos.f64 y) 2) (-.f64 x (cos.f64 y))))
(-.f64 (+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 (cos.f64 y)))) 1)
(-.f64 (+.f64 (+.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)
(*.f64 1 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) x)))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) x) (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) (fma.f64 y (*.f64 y -1/2) x)))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x))))
(+.f64 (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) x)) (-.f64 1 (*.f64 y z)))
(+.f64 1 (-.f64 (fma.f64 z (*.f64 1/6 (pow.f64 y 3)) (fma.f64 y (*.f64 y -1/2) x)) (*.f64 y z)))
(+.f64 1 (+.f64 (fma.f64 y (*.f64 y -1/2) x) (*.f64 z (-.f64 (*.f64 1/6 (pow.f64 y 3)) y))))
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))) (cbrt.f64 (sqrt.f64 (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2))) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) 1) (-.f64 (*.f64 (sin.f64 y) z) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (*.f64 z (sin.f64 y)) (+.f64 x (cos.f64 y))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2))) (pow.f64 (+.f64 x (cos.f64 y)) 2)) (-.f64 (-.f64 (*.f64 z (sin.f64 y)) x) (cos.f64 y)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z)) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (pow.f64 (sin.f64 y) 2) (*.f64 z z) (*.f64 (+.f64 x (cos.f64 y)) (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 (+.f64 x (cos.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))) (*.f64 z (*.f64 z (pow.f64 (sin.f64 y) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (+.f64 x (cos.f64 y)) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y))))))
(pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 1)
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 2)
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))) 3)
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3) 1/3)
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 2))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y))) 3))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))))
(fma.f64 (sin.f64 y) z (+.f64 x (cos.f64 y)))
(+.f64 x (fma.f64 z (sin.f64 y) (cos.f64 y)))

eval78.0ms (0.9%)

Compiler

Compiled 9051 to 2329 computations (74.3% saved)

prune105.0ms (1.3%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New34011351
Fresh000
Picked011
Done011
Total34013353
Error
0b
Counts
353 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
0.2b
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
17.9b
(-.f64 1 (-.f64 (*.f64 y z) x))
0.1b
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
25.1b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
17.5b
(+.f64 (cos.f64 y) x)
21.7b
(+.f64 x 1)
17.9b
(+.f64 1 (fma.f64 y (neg.f64 z) x))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
26.5b
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
32.3b
x
Compiler

Compiled 266 to 183 computations (31.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
0.0b
(-.f64 x (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
53.7b
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
Compiler

Compiled 74 to 16 computations (78.4% saved)

series4.0ms (0.1%)

Counts
3 → 88
Calls

24 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
0.0ms
y
@0
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
0.0ms
z
@inf
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
0.0ms
z
@0
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
0.0ms
y
@inf
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))

rewrite155.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1190×associate-*r/
876×associate-*l/
406×associate-/r*
334×associate-+l+
328×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01471
130365
2426265
Stop Event
node limit
Counts
3 → 268
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))
(-.f64 x (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y))))
Outputs
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egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))))))

simplify256.0ms (3.1%)

Algorithm
egg-herbie
Rules
1088×associate-*r*
1070×associate-/l*
946×associate-*l*
780×distribute-lft-in
738×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
070318576
1207018324
Stop Event
node limit
Counts
356 → 487
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
x
(+.f64 (*.f64 -1 (*.f64 y z)) x)
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x)))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) z)) x))))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
x
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 (cos.f64 y) x) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (+.f64 (cos.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
(+.f64 (-.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(-.f64 (*.f64 (sin.f64 y) z) (*.f64 (sin.f64 y) z))
(-.f64 0 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z))) (+.f64 1 (*.f64 (sin.f64 y) z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) 0) (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 (*.f64 (sin.f64 y) z) (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))) 1)
(*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))
(*.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(*.f64 1 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(*.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(*.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2) (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (pow.f64 (*.f64 (sin.f64 y) z) 2))))
(pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 2))
(log.f64 (exp.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(exp.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))) 1))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(+.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (+.f64 x (*.f64 (sin.f64 y) z)))
(+.f64 x (*.f64 (sin.f64 y) z))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) z) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) z) (fma.f64 (*.f64 (sin.f64 y) z) 1 (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z))))
(+.f64 x (+.f64 (*.f64 (sin.f64 y) z) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z))))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (*.f64 (sin.f64 y) z) 1 (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 y) z))) (sqrt.f64 (*.f64 (sin.f64 y) z)) (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 y) z))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 2) (*.f64 (sin.f64 y) z)))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y))) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 (sin.f64 y) z)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
(+.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (fma.f64 (*.f64 (sin.f64 y) z) 1 (*.f64 (sin.f64 y) z)) (*.f64 z (+.f64 (sin.f64 y) (sin.f64 y)))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2) (cbrt.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (cos.f64 y) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x (cos.f64 y)) 3) (pow.f64 (*.f64 (sin.f64 y) z) 3)) 1) (+.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (+.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2) (*.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) 1) (neg.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x)))) (+.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2) 3)) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)) 1) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x)))) (sqrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)) (*.f64 (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))) (cbrt.f64 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2)) (+.f64 (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (sqrt.f64 (cos.f64 y)))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
(pow.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 2))
(log.f64 (exp.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(fma.f64 1 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))
(fma.f64 1 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 (+.f64 (*.f64 -1 z) z) y)
(*.f64 (*.f64 0 z) y)
(*.f64 y (*.f64 z 0))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (*.f64 (+.f64 (*.f64 -1 z) z) y))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (*.f64 (*.f64 0 z) y))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (*.f64 y (*.f64 z 0)))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y)))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 (*.f64 0 z) y)))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 z 0))))
(+.f64 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/6 z) (*.f64 1/6 z))) (+.f64 (*.f64 (+.f64 (*.f64 -1/5040 z) (*.f64 1/5040 z)) (pow.f64 y 7)) (+.f64 (*.f64 (+.f64 (*.f64 1/120 z) (*.f64 -1/120 z)) (pow.f64 y 5)) (*.f64 (+.f64 (*.f64 -1 z) z) y))))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 7) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 (*.f64 0 z) y))))
(fma.f64 (pow.f64 y 3) (*.f64 z 0) (fma.f64 (*.f64 z 0) (pow.f64 y 7) (fma.f64 (*.f64 z 0) (pow.f64 y 5) (*.f64 y (*.f64 z 0)))))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z)
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (sin.f64 y)) (sin.f64 y)) z))
0
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
x
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) x)
(fma.f64 -1 (*.f64 z (sin.f64 y)) x)
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(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) (pow.f64 (cos.f64 y) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (fma.f64 (sin.f64 y) z x) (-.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (fma.f64 (sin.f64 y) z x) (-.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (fma.f64 (sin.f64 y) z x) (-.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))))))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) 1) (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)) (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y)))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 2))) (/.f64 1 (+.f64 (*.f64 (sin.f64 y) z) (-.f64 (cos.f64 y) x))))
(*.f64 (fma.f64 (sin.f64 y) z (-.f64 (cos.f64 y) x)) (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (fma.f64 (sin.f64 y) z x) 2))))
(/.f64 (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 (sin.f64 y) z) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (+.f64 x (*.f64 (sin.f64 y) z)) 3))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (+.f64 x (*.f64 (sin.f64 y) z)) (+.f64 (*.f64 (sin.f64 y) z) (-.f64 x (cos.f64 y)))))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (fma.f64 (sin.f64 y) z x) (fma.f64 (sin.f64 y) z (-.f64 x (cos.f64 y))))) (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) (pow.f64 (cos.f64 y) 3))))
(*.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (fma.f64 (sin.f64 y) z x) (-.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y)))) (/.f64 (-.f64 (*.f64 (+.f64 x (cos.f64 y)) (+.f64 x (cos.f64 y))) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (fma.f64 (sin.f64 y) z x) 3) (pow.f64 (cos.f64 y) 3))))
(pow.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z))) 1)
(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 2)
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(pow.f64 (cbrt.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 3)
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(sqrt.f64 (pow.f64 (-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y)))) 2))
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(exp.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))))
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(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)))) 1))
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(-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))))
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(+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(-.f64 x (fma.f64 (sin.f64 y) z (neg.f64 (cos.f64 y))))
(fma.f64 1 (+.f64 x (*.f64 (sin.f64 y) z)) (cos.f64 y))
(+.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(fma.f64 1 (cos.f64 y) (+.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 1 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(fma.f64 (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (sqrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))
(+.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (fma.f64 (sin.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) 2) (cbrt.f64 (+.f64 x (*.f64 (sin.f64 y) z))) (cos.f64 y))
(+.f64 (fma.f64 (sin.f64 y) z x) (cos.f64 y))
(+.f64 (cos.f64 y) (fma.f64 (sin.f64 y) z x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (+.f64 x (*.f64 (sin.f64 y) z)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (fma.f64 (sin.f64 y) z x))

localize3.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 (*.f64 y -1/2) z))
0.0b
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series5.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
1.0ms
z
@0
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
0.0ms
y
@inf
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
0.0ms
y
@-inf
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
0.0ms
y
@inf
(*.f64 y (-.f64 (*.f64 y -1/2) z))

rewrite91.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1740×associate-*r/
1418×associate-*l/
480×associate-+l+
322×associate-/r*
300×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01250
126646
2365446
Stop Event
node limit
Counts
2 → 134
Calls
Call 1
Inputs
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
Outputs
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simplify123.0ms (1.5%)

Algorithm
egg-herbie
Rules
1294×associate-+r+
1104×associate-+l+
972×associate--r+
704×+-commutative
612×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03929966
110479696
245899672
Stop Event
node limit
Counts
194 → 229
Calls
Call 1
Inputs
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
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(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (-.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))))))
(pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(exp.f64 (log1p.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(exp.f64 (*.f64 (log1p.f64 (+.f64 x (*.f64 y (-.f64 (*.f64 y -1/2) z)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))))
(fma.f64 1 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (+.f64 1 x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(fma.f64 (-.f64 (*.f64 y -1/2) z) y (+.f64 1 x))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (hypot.f64 1 (sqrt.f64 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2) (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) (+.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (*.f64 (*.f64 y -1/2) y) (*.f64 (neg.f64 z) y))
(+.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y (neg.f64 z)))
(+.f64 (*.f64 y (neg.f64 z)) (*.f64 y (*.f64 y -1/2)))
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (*.f64 y -1/2) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) 1)
(/.f64 y (/.f64 (fma.f64 y -1/2 z) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))))
(/.f64 y (/.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))))
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (fma.f64 y -1/2 z))
(/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (fma.f64 y -1/2 z))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 1 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))) (fma.f64 y -1/2 z))
(/.f64 (*.f64 1 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 1 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y)) (fma.f64 y -1/2 z))
(/.f64 (*.f64 1 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y)) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (neg.f64 z) (neg.f64 z)))) (-.f64 (*.f64 y -1/2) (neg.f64 z)))
(/.f64 (*.f64 y (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (neg.f64 z) 3))) (+.f64 (*.f64 (*.f64 y y) 1/4) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y -1/2) (neg.f64 z)))))
(/.f64 (*.f64 y (neg.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))) (neg.f64 (fma.f64 y -1/2 z)))
(/.f64 (*.f64 y (neg.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (-.f64 (*.f64 y -1/2) z))) (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (-.f64 (*.f64 y -1/2) z))) (sqrt.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -1/2) z)) 2)) (cbrt.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (*.f64 y -1/2) z)) 2)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 (neg.f64 z) (neg.f64 z))) y) (-.f64 (*.f64 y -1/2) (neg.f64 z)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 (neg.f64 z) 3)) y) (+.f64 (*.f64 (*.f64 y y) 1/4) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 (*.f64 y -1/2) (neg.f64 z)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) y) (neg.f64 (fma.f64 y -1/2 z)))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) y) (neg.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) 1) (fma.f64 y -1/2 z))
(/.f64 (*.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) 1) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) 1) (fma.f64 y -1/2 z))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) 1) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (*.f64 (sqrt.f64 (-.f64 (*.f64 y -1/2) z)) y)) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (*.f64 (sqrt.f64 (-.f64 (*.f64 y -1/2) z)) y)) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) 1) (fma.f64 y -1/2 z))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (sqrt.f64 (fma.f64 y -1/2 z))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z))) (*.f64 (cbrt.f64 (fma.f64 y -1/2 z)) (cbrt.f64 (fma.f64 y -1/2 z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) 1) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 y (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3))) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) 1) (fma.f64 y -1/2 z))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (sqrt.f64 (fma.f64 y -1/2 z))) (sqrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (*.f64 (cbrt.f64 (fma.f64 y -1/2 z)) (cbrt.f64 (fma.f64 y -1/2 z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) 1) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
Outputs
(+.f64 1 (*.f64 y (-.f64 (*.f64 -1/2 y) z)))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
x
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 -1/2 y) z)) x))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(*.f64 -1/2 (*.f64 y y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) x)))
(+.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) x))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) (+.f64 1 x))
(+.f64 x (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(*.f64 -1/2 (*.f64 y y))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
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(*.f64 (/.f64 y (fma.f64 y -1/2 z)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) (/.f64 y (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (sqrt.f64 (fma.f64 y -1/2 z))) (sqrt.f64 (fma.f64 y -1/2 z)))
(*.f64 (/.f64 y (fma.f64 y -1/2 z)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) (/.f64 y (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) y) (*.f64 (cbrt.f64 (fma.f64 y -1/2 z)) (cbrt.f64 (fma.f64 y -1/2 z)))) (cbrt.f64 (fma.f64 y -1/2 z)))
(*.f64 (/.f64 y (fma.f64 y -1/2 z)) (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)))
(*.f64 (-.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z z)) (/.f64 y (fma.f64 y -1/2 z)))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) 1) (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) 1/4 (*.f64 z (fma.f64 y -1/2 z)))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (neg.f64 z) 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z))))) (sqrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) 1/4 (*.f64 z (fma.f64 y -1/2 z)))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (neg.f64 z) 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(/.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) y) (*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))) (cbrt.f64 (+.f64 (*.f64 (*.f64 y y) 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) 1/4 (*.f64 z (fma.f64 y -1/2 z)))) (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)))
(*.f64 (fma.f64 (pow.f64 y 3) -1/8 (pow.f64 (neg.f64 z) 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(*.f64 (-.f64 (*.f64 (pow.f64 y 3) -1/8) (pow.f64 z 3)) (/.f64 y (fma.f64 y (*.f64 y 1/4) (*.f64 z (fma.f64 y -1/2 z)))))
(pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 2)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 3)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(pow.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3) 1/3)
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2))
(fabs.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fabs.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 (*.f64 y -1/2) z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(exp.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))) 1))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 y) (neg.f64 z))
Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
y
@0
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
z
@0
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
y
@-inf
(*.f64 (sin.f64 y) (neg.f64 z))
0.0ms
z
@inf
(*.f64 (sin.f64 y) (neg.f64 z))

rewrite59.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1350×add-sqr-sqrt
1338×*-un-lft-identity
1236×add-cube-cbrt
1218×add-cbrt-cube
1202×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116011
2198911
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 (sin.f64 y) (neg.f64 z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))))))

simplify62.0ms (0.8%)

Algorithm
egg-herbie
Rules
1578×fma-def
856×*-commutative
694×associate--r+
688×associate-*r*
656×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058753
1153675
2514583
32320579
46481579
Stop Event
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 y) z))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
Outputs
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))
(fma.f64 -1 (*.f64 y z) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))
(*.f64 z (+.f64 (neg.f64 y) (*.f64 1/6 (pow.f64 y 3))))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (neg.f64 y)))
(+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z))))
(fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3)))))
(-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z))
(*.f64 z (-.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) y))
(*.f64 z (fma.f64 1/6 (pow.f64 y 3) (fma.f64 -1/120 (pow.f64 y 5) (neg.f64 y))))
(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 7) z)) (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/120 (*.f64 (pow.f64 y 5) z)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (fma.f64 -1 (*.f64 y z) (fma.f64 -1/120 (*.f64 z (pow.f64 y 5)) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(fma.f64 1/5040 (*.f64 z (pow.f64 y 7)) (-.f64 (*.f64 z (+.f64 (*.f64 1/6 (pow.f64 y 3)) (*.f64 -1/120 (pow.f64 y 5)))) (*.f64 y z)))
(*.f64 z (+.f64 (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5))) (fma.f64 1/5040 (pow.f64 y 7) (neg.f64 y))))
(*.f64 z (-.f64 (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (*.f64 -1/120 (pow.f64 y 5)))) y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 0 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(-.f64 (+.f64 1 (*.f64 (sin.f64 y) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (*.f64 (sin.f64 y) z) 1)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) z)) 2)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(neg.f64 (*.f64 (sin.f64 y) z))
(*.f64 (sin.f64 y) (neg.f64 z))
(*.f64 z (neg.f64 (sin.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 2))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 y)) z))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) z) 3))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) z)))
(+.f64 1 (-.f64 (*.f64 z (sin.f64 y)) 1))
(+.f64 (*.f64 z (sin.f64 y)) 0)
(*.f64 z (sin.f64 y))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts
1 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@0
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.0ms
y
@inf
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.0ms
y
@-inf
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.0ms
z
@inf
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.0ms
z
@-inf
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

rewrite86.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
904×*-commutative
748×unswap-sqr
548×swap-sqr
422×distribute-lft-in
416×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
118921
2249421
Stop Event
node limit
Counts
1 → 145
Calls
Call 1
Inputs
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
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(cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))))))

simplify127.0ms (1.5%)

Algorithm
egg-herbie
Rules
1586×associate-*r/
1224×associate-+r+
1216×associate-+l+
978×+-commutative
714×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040412013
1115810763
2481610571
Stop Event
node limit
Counts
161 → 236
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
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(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)) (cbrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 (*.f64 z (sin.f64 y)) 4)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) 3)) (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (+.f64 (pow.f64 (cos.f64 y) 4) (+.f64 (pow.f64 (*.f64 z (sin.f64 y)) 4) (pow.f64 (*.f64 z (*.f64 (cos.f64 y) (sin.f64 y))) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 y) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (+.f64 (+.f64 (pow.f64 (cos.f64 y) 6) (pow.f64 (*.f64 z (sin.f64 y)) 6)) (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) 1) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (sqrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (sqrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (cbrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) 1) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 2)) (-.f64 (*.f64 z (neg.f64 (sin.f64 y))) (cos.f64 y)))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))))) (-.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) 1) (+.f64 (exp.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) 1))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (*.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))))) (+.f64 (/.f64 (pow.f64 (cos.f64 y) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (neg.f64 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (neg.f64 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 -1/2 (*.f64 y y))))
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z)))
(+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (*.f64 y y) (*.f64 z (*.f64 1/6 (pow.f64 y 3)))) (*.f64 y z)))
(+.f64 (-.f64 1 (*.f64 y z)) (fma.f64 -1/2 (*.f64 y y) (*.f64 z (*.f64 1/6 (pow.f64 y 3)))))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 (neg.f64 z) (sin.f64 y))
(*.f64 z (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (neg.f64 z))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y))))) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 z (neg.f64 (sin.f64 y))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2) (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2)) (*.f64 0 (*.f64 z (sin.f64 y)))))
(+.f64 (cos.f64 y) (+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (*.f64 (neg.f64 (cbrt.f64 (*.f64 z (sin.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (sin.f64 y))) 2))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 z) (sin.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (*.f64 z (neg.f64 (sin.f64 y))) 1 (*.f64 z (sin.f64 y))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (*.f64 0 (*.f64 z (sin.f64 y))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 z (sin.f64 y)))) (sqrt.f64 (*.f64 z (sin.f64 y))) (*.f64 z (sin.f64 y))))
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(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (fma.f64 z (*.f64 (sin.f64 y) (fma.f64 z (sin.f64 y) (cos.f64 y))) (pow.f64 (cos.f64 y) 2)))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(fabs.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

eval430.0ms (5.2%)

Compiler

Compiled 35945 to 12712 computations (64.6% saved)

prune367.0ms (4.4%)

Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New1053101063
Fresh336
Picked011
Done336
Total1059171076
Error
0b
Counts
1076 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
45.0b
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
30.9b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
17.9b
(-.f64 1 (-.f64 (*.f64 y z) x))
44.5b
(-.f64 1 (*.f64 y z))
31.0b
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
17.5b
(+.f64 (cos.f64 y) x)
21.7b
(+.f64 x 1)
17.9b
(+.f64 1 (fma.f64 (neg.f64 y) z x))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
62.6b
(*.f64 y (*.f64 y -1/2))
54.9b
(*.f64 y (neg.f64 z))
41.5b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
48.1b
(cos.f64 y)
32.3b
x
51.9b
1
Compiler

Compiled 272 to 193 computations (29% saved)

localize5.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize7.0ms (0.1%)

Compiler

Compiled 11 to 5 computations (54.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 y z))
Compiler

Compiled 14 to 7 computations (50% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(-.f64 1 (*.f64 y z))
0.0ms
y
@0
(-.f64 1 (*.f64 y z))
0.0ms
z
@inf
(-.f64 1 (*.f64 y z))
0.0ms
z
@-inf
(-.f64 1 (*.f64 y z))
0.0ms
y
@-inf
(-.f64 1 (*.f64 y z))

rewrite56.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1470×add-sqr-sqrt
1454×*-un-lft-identity
1352×add-cube-cbrt
1340×add-cbrt-cube
1330×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114513
2181513
Stop Event
node limit
Counts
1 → 29
Calls
Call 1
Inputs
(-.f64 1 (*.f64 y z))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (sqrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (cbrt.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))) (-.f64 1 (pow.f64 (*.f64 y z) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (+.f64 1 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 1 (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 y (neg.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (*.f64 y z))))))))

simplify64.0ms (0.8%)

Algorithm
egg-herbie
Rules
1108×div-sub
902×distribute-lft-in
732×distribute-rgt-in
646×associate-/l/
582×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0781039
1208959
2922939
33057939
Stop Event
node limit
Counts
53 → 40
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (*.f64 y (neg.f64 z)))
(+.f64 1 (*.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (*.f64 y (neg.f64 z)) 1)
(*.f64 1 (-.f64 1 (*.f64 y z)))
(*.f64 (-.f64 1 (*.f64 y z)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (sqrt.f64 (-.f64 1 (*.f64 y z))))
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (cbrt.f64 (-.f64 1 (*.f64 y z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))) (-.f64 1 (pow.f64 (*.f64 y z) 3))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (+.f64 1 (*.f64 y z)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 1 (*.f64 y (neg.f64 z))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (*.f64 y z))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(pow.f64 (-.f64 1 (*.f64 y z)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 3)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 2))
(log.f64 (exp.f64 (-.f64 1 (*.f64 y z))))
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y z))))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 y (neg.f64 z))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 y z))))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 y (neg.f64 z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (*.f64 (*.f64 y (neg.f64 z)) 1))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 (*.f64 y (neg.f64 z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 1 (-.f64 1 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (-.f64 1 (*.f64 y z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) (sqrt.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 2) (cbrt.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 y z)) (-.f64 1 (pow.f64 (*.f64 y z) 2))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))) (-.f64 1 (pow.f64 (*.f64 y z) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (+.f64 1 (*.f64 y z)))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (-.f64 1 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z)))) (-.f64 1 (*.f64 y (neg.f64 z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (neg.f64 z)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 y (neg.f64 z)) (*.f64 y (neg.f64 z))) (*.f64 y (neg.f64 z)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2))) (neg.f64 (+.f64 1 (*.f64 y z))))
(*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (/.f64 1 (+.f64 1 (*.f64 y z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 2)) (fma.f64 y z 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 y z) (pow.f64 (*.f64 y z) 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) 1) (+.f64 1 (fma.f64 y z (pow.f64 (*.f64 y z) 2))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (+.f64 (fma.f64 y z 1) (pow.f64 (*.f64 y z) 2)))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (fma.f64 z (*.f64 y z) z) 1))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y z) 3)) (fma.f64 y (*.f64 z (fma.f64 y z 1)) 1))
(pow.f64 (-.f64 1 (*.f64 y z)) 1)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (*.f64 y z))) 2)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (*.f64 y z))) 3)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(pow.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3) 1/3)
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(sqrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 2))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(log.f64 (exp.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(cbrt.f64 (pow.f64 (-.f64 1 (*.f64 y z)) 3))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(expm1.f64 (log1p.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 y (neg.f64 z))) 1))
(exp.f64 (log1p.f64 (*.f64 y (neg.f64 z))))
(log1p.f64 (expm1.f64 (-.f64 1 (*.f64 y z))))
(-.f64 1 (*.f64 y z))
(fma.f64 z (neg.f64 y) 1)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
0.0ms
y
@inf
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
0.0ms
z
@0
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
0.0ms
y
@0
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
0.0ms
z
@inf
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)

rewrite68.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
878×*-commutative
698×unswap-sqr
530×swap-sqr
506×associate-*r/
430×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
120521
2250721
Stop Event
node limit
Counts
1 → 41
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 (*.f64 y (neg.f64 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (*.f64 y (neg.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (/.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) 1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) 1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))))

simplify66.0ms (0.8%)

Algorithm
egg-herbie
Rules
1520×associate-*l*
1000×associate-/l*
688×associate-/r*
560×distribute-lft-out
534×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01152517
12752141
28852117
343972117
Stop Event
node limit
Counts
65 → 73
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) -1)
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 (*.f64 y (neg.f64 z)) 1))
(+.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (*.f64 y (neg.f64 z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1)
(*.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))
(*.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (/.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1)))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6))
(/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) 1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) 1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1))
(pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 2))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(exp.f64 (log.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
Outputs
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(fma.f64 y (neg.f64 z) 1)
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 -1/2 (pow.f64 y 2))
(*.f64 y (*.f64 y -1/2))
(+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2)))
(fma.f64 -1/2 (*.f64 y y) (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 (*.f64 y -1/2) z))
(*.f64 y (fma.f64 y -1/2 (neg.f64 z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (*.f64 y (*.f64 y -1/2)))
(fma.f64 y (*.f64 y -1/2) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 (*.f64 y z))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 1)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) -1)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 (*.f64 y (*.f64 y -1/2)) (+.f64 (*.f64 y (neg.f64 z)) 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(+.f64 (+.f64 1 (*.f64 y (*.f64 y -1/2))) (*.f64 y (neg.f64 z)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 1 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (/.f64 1 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1)))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))
(*.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (sqrt.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1))) (cbrt.f64 (sqrt.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3/2))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/6))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(/.f64 1 (/.f64 (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))) (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1)) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3))) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) -1) 1) (+.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))
(/.f64 (+.f64 -1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) 1) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (-.f64 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2) (*.f64 y (-.f64 (*.f64 y -1/2) z)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 3)) (+.f64 1 (*.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) -1))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 3)) (+.f64 1 (*.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) (fma.f64 y (-.f64 (*.f64 y -1/2) z) -1))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (-.f64 1 (*.f64 y (-.f64 (*.f64 y -1/2) z))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y (fma.f64 y -1/2 (neg.f64 z))) 2)) (-.f64 1 (*.f64 y (fma.f64 y -1/2 (neg.f64 z)))))
(/.f64 (-.f64 1 (pow.f64 (*.f64 y (-.f64 (*.f64 y -1/2) z)) 2)) (fma.f64 y (neg.f64 (-.f64 (*.f64 y -1/2) z)) 1))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)))))
(pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 1)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 2)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)) 3)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3) 1/3)
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 2))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(log.f64 (exp.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1))))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1) 3))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(exp.f64 (log.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)))
(fma.f64 y (*.f64 y -1/2) (fma.f64 y (neg.f64 z) 1))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(fma.f64 y (fma.f64 y -1/2 (neg.f64 z)) 1)

eval34.0ms (0.4%)

Compiler

Compiled 1792 to 1176 computations (34.4% saved)

prune25.0ms (0.3%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New1121113
Fresh088
Picked101
Done088
Total11317130
Error
0b
Counts
130 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
44.5b
(fma.f64 z (neg.f64 y) 1)
30.9b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
17.9b
(-.f64 1 (-.f64 (*.f64 y z) x))
44.5b
(-.f64 1 (*.f64 y z))
31.0b
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
17.5b
(+.f64 (cos.f64 y) x)
21.7b
(+.f64 x 1)
17.9b
(+.f64 1 (fma.f64 (neg.f64 y) z x))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
62.6b
(*.f64 y (*.f64 y -1/2))
54.9b
(*.f64 y (neg.f64 z))
41.5b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
48.1b
(cos.f64 y)
32.3b
x
51.9b
1
Compiler

Compiled 239 to 169 computations (29.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (fma.f64 (neg.f64 y) z x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+.f64 1 (fma.f64 (neg.f64 y) z x))
0.0ms
z
@-inf
(+.f64 1 (fma.f64 (neg.f64 y) z x))
0.0ms
z
@0
(+.f64 1 (fma.f64 (neg.f64 y) z x))
0.0ms
x
@0
(+.f64 1 (fma.f64 (neg.f64 y) z x))
0.0ms
z
@inf
(+.f64 1 (fma.f64 (neg.f64 y) z x))

rewrite62.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
2004×add-sqr-sqrt
1988×*-un-lft-identity
1842×add-cube-cbrt
1822×add-cbrt-cube
220×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01119
122015
2270515
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 1 (fma.f64 (neg.f64 y) z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (fma.f64 y z x))) (/.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) (sqrt.f64 (+.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (/.f64 1 (-.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 y z x)) (-.f64 1 (pow.f64 (fma.f64 y z x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))) (+.f64 1 (pow.f64 (fma.f64 y z x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y z x) 2) 1) (-.f64 (fma.f64 y z x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2))) (neg.f64 (-.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 y z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 y z x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 y z x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 y z x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y z x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)) 1)))))

simplify56.0ms (0.7%)

Algorithm
egg-herbie
Rules
1612×associate-+r+
1420×associate-+l+
1006×associate-*r*
822×associate-*l*
504×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0861544
12011456
27231456
341561456
Stop Event
node limit
Counts
68 → 47
Calls
Call 1
Inputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
x
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
x
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 y z x))) (/.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))
(*.f64 1 (+.f64 1 (fma.f64 y z x)))
(*.f64 (+.f64 1 (fma.f64 y z x)) 1)
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) (sqrt.f64 (+.f64 1 (fma.f64 y z x))))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 y z x))))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (/.f64 1 (-.f64 1 (fma.f64 y z x))))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 y z x)) (-.f64 1 (pow.f64 (fma.f64 y z x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))) (+.f64 1 (pow.f64 (fma.f64 y z x) 3))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y z x) 2) 1) (-.f64 (fma.f64 y z x) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2))) (neg.f64 (-.f64 1 (fma.f64 y z x))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))
(pow.f64 (+.f64 1 (fma.f64 y z x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 y z x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 y z x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x))))
(exp.f64 (log1p.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 y z x)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 y z x))))
(fma.f64 1 (fma.f64 y z x) 1)
(fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)) 1)
Outputs
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(*.f64 -1 (*.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(-.f64 1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
x
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
x
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (fma.f64 -1 (*.f64 y z) x))
(+.f64 1 (-.f64 x (*.f64 y z)))
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x)))) 1)
(+.f64 1 (fma.f64 y z x))
(-.f64 (/.f64 1 (-.f64 1 (fma.f64 y z x))) (/.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(*.f64 1 (+.f64 1 (fma.f64 y z x)))
(+.f64 1 (fma.f64 y z x))
(*.f64 (+.f64 1 (fma.f64 y z x)) 1)
(+.f64 1 (fma.f64 y z x))
(*.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) (sqrt.f64 (+.f64 1 (fma.f64 y z x))))
(+.f64 1 (fma.f64 y z x))
(*.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2))
(+.f64 1 (fma.f64 y z x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 2) (cbrt.f64 (+.f64 1 (fma.f64 y z x))))
(+.f64 1 (fma.f64 y z x))
(*.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (/.f64 1 (-.f64 1 (fma.f64 y z x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 y z x) 3)) (-.f64 (fma.f64 y z (+.f64 x -1)) (pow.f64 (fma.f64 y z x) 2)))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 y z x)) (-.f64 1 (pow.f64 (fma.f64 y z x) 2))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))) (+.f64 1 (pow.f64 (fma.f64 y z x) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 y z x) 3)) (-.f64 (fma.f64 y z (+.f64 x -1)) (pow.f64 (fma.f64 y z x) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 y z x) 3)) (-.f64 (fma.f64 y z (+.f64 x -1)) (pow.f64 (fma.f64 y z x) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 (pow.f64 (fma.f64 y z x) 2) (-.f64 1 (fma.f64 y z x))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 y z x) 3)) (-.f64 (fma.f64 y z (+.f64 x -1)) (pow.f64 (fma.f64 y z x) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y z x) 2) 1) (-.f64 (fma.f64 y z x) 1))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2))) (neg.f64 (-.f64 1 (fma.f64 y z x))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 y z x) 2)) (-.f64 1 (fma.f64 y z x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 y z x) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 y z x) 2) (fma.f64 y z x))))
(/.f64 (-.f64 -1 (pow.f64 (fma.f64 y z x) 3)) (-.f64 (fma.f64 y z (+.f64 x -1)) (pow.f64 (fma.f64 y z x) 2)))
(pow.f64 (+.f64 1 (fma.f64 y z x)) 1)
(+.f64 1 (fma.f64 y z x))
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 y z x))) 2)
(+.f64 1 (fma.f64 y z x))
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 y z x))) 3)
(+.f64 1 (fma.f64 y z x))
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3) 1/3)
(+.f64 1 (fma.f64 y z x))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 2))
(+.f64 1 (fma.f64 y z x))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 y z x))))
(+.f64 1 (fma.f64 y z x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 y z x)))))
(+.f64 1 (fma.f64 y z x))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 y z x)) 3))
(+.f64 1 (fma.f64 y z x))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 y z x))))
(+.f64 1 (fma.f64 y z x))
(exp.f64 (log1p.f64 (fma.f64 y z x)))
(exp.f64 (*.f64 (log1p.f64 (fma.f64 y z x)) 1))
(exp.f64 (log1p.f64 (fma.f64 y z x)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 y z x))))
(+.f64 1 (fma.f64 y z x))
(fma.f64 1 (fma.f64 y z x) 1)
(+.f64 1 (fma.f64 y z x))
(fma.f64 (sqrt.f64 (fma.f64 y z x)) (sqrt.f64 (fma.f64 y z x)) 1)
(+.f64 1 (fma.f64 y z x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y z x)) 2) (cbrt.f64 (fma.f64 y z x)) 1)
(+.f64 1 (fma.f64 y z x))

localize6.0ms (0.1%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (-.f64 (*.f64 y z) x))
0.0b
(-.f64 (*.f64 y z) x)
Compiler

Compiled 22 to 8 computations (63.6% saved)

series3.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(-.f64 (*.f64 y z) x)
0.0ms
x
@0
(-.f64 (*.f64 y z) x)
0.0ms
y
@0
(-.f64 (*.f64 y z) x)
0.0ms
y
@0
(-.f64 1 (-.f64 (*.f64 y z) x))
0.0ms
x
@inf
(-.f64 (*.f64 y z) x)

rewrite87.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
926×associate-*r/
922×*-commutative
678×associate-*l/
658×distribute-lft-in
636×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
119632
2265032
Stop Event
node limit
Counts
2 → 183
Calls
Call 1
Inputs
(-.f64 (*.f64 y z) x)
(-.f64 1 (-.f64 (*.f64 y z) x))
Outputs
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(neg.f64 z))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 -1 (neg.f64 (+.f64 (-.f64 (*.f64 y z) x) (pow.f64 (-.f64 (*.f64 y z) x) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 2 (-.f64 (*.f64 y z) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 x (*.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))))))

simplify135.0ms (1.6%)

Algorithm
egg-herbie
Rules
1608×associate-+r-
1342×associate--r+
656×fma-def
536×distribute-lft-in
532×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048510891
1141310317
2672610261
Stop Event
node limit
Counts
255 → 307
Calls
Call 1
Inputs
(*.f64 -1 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 (*.f64 y z) (*.f64 -1 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(*.f64 -1 (*.f64 y z))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(-.f64 1 (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 (*.f64 y z) (neg.f64 x))
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) 0)
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(+.f64 1 (-.f64 (-.f64 (*.f64 y z) x) 1))
(+.f64 (neg.f64 x) (*.f64 y z))
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (+.f64 (*.f64 y z) 1) (-.f64 (neg.f64 x) 1))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (*.f64 y z) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 y z) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 y z) x))
(+.f64 (-.f64 (*.f64 y z) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (*.f64 y z) x) 1)
(*.f64 1 (-.f64 (*.f64 y z) x))
(*.f64 (sqrt.f64 (-.f64 (*.f64 y z) x)) (sqrt.f64 (-.f64 (*.f64 y z) x)))
(*.f64 (cbrt.f64 (-.f64 (*.f64 y z) x)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 y z) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 y z) x)) 2) (cbrt.f64 (-.f64 (*.f64 y z) x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (/.f64 1 (fma.f64 y z x)))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (*.f64 y z)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (fma.f64 y z x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x)))) (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (-.f64 (*.f64 y z) x))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (-.f64 x (*.f64 y z)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (*.f64 x (fma.f64 y z x)) (*.f64 x (fma.f64 y z x))))) (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (*.f64 y z) 2) 3) (pow.f64 (*.f64 x (fma.f64 y z x)) 3))) (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (*.f64 x (fma.f64 y z x)) (-.f64 (*.f64 x (fma.f64 y z x)) (pow.f64 (*.f64 y z) 2)))))
(/.f64 1 (/.f64 1 (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)) (fma.f64 y z x))
(/.f64 (fma.f64 y z x) (/.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (-.f64 (*.f64 y z) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (/.f64 (fma.f64 y z x) (sqrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)))) (/.f64 (fma.f64 y z x) (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (cbrt.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))) (neg.f64 (fma.f64 y z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 y z x) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 y z)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y z) 2) 3) (pow.f64 (*.f64 x x) 3)) (*.f64 (fma.f64 y z x) (+.f64 (*.f64 (pow.f64 (*.f64 y z) 2) (pow.f64 (*.f64 y z) 2)) (*.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 y z) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x (fma.f64 y z x))) (+.f64 (*.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (*.f64 y z) 3)) (*.f64 (pow.f64 x 3) (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 x 3))))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 y z) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (*.f64 y z) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (*.f64 y z)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 y z) x)) (sqrt.f64 (-.f64 (pow.f64 (*.f64 y z) 2) (*.f64 x x)))) (sqrt.f64 (fma.f64 y z x)))
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(pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (-.f64 (*.f64 y z) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (*.f64 y z) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (+.f64 (+.f64 x (*.f64 y (neg.f64 z))) -1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 -1 (neg.f64 (+.f64 (-.f64 (*.f64 y z) x) (pow.f64 (-.f64 (*.f64 y z) x) 2))))))
(sqrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 3))
(expm1.f64 (log.f64 (-.f64 2 (-.f64 (*.f64 y z) x))))
(exp.f64 (log1p.f64 (+.f64 x (*.f64 y (neg.f64 z)))))
(log1p.f64 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (*.f64 -1 x))
(-.f64 (*.f64 y z) x)
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(*.f64 -1 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) x))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 1 (*.f64 y z))
(fma.f64 (neg.f64 y) z 1)
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
x
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(-.f64 (+.f64 1 x) (*.f64 y z))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(+.f64 (*.f64 y z) (neg.f64 x))
(-.f64 (*.f64 y z) x)
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (*.f64 y z) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) 0)
(-.f64 (*.f64 y z) x)
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 x) 1 x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 2 (fma.f64 (neg.f64 x) 1 x)))
(fma.f64 2 (+.f64 x (neg.f64 x)) (-.f64 (*.f64 y z) x))
(fma.f64 2 (-.f64 x x) (-.f64 (*.f64 y z) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (fma.f64 y z (-.f64 x x)) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (fma.f64 y z (-.f64 x x)) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (fma.f64 y z (-.f64 x x)) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 y z) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x) (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (fma.f64 y z (-.f64 x x)) x))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) x) (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 y z) x))
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 x) 1 x) 1))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) 1))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (-.f64 (*.f64 y z) x) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) 1))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
(+.f64 1 (-.f64 (-.f64 (*.f64 y z) x) 1))
(-.f64 (*.f64 y z) x)
(+.f64 (neg.f64 x) (*.f64 y z))
(-.f64 (*.f64 y z) x)
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (neg.f64 x) (+.f64 (*.f64 y z) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
(+.f64 (+.f64 (*.f64 y z) 1) (-.f64 (neg.f64 x) 1))
(-.f64 (*.f64 y z) x)
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (*.f64 y z) x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 x) 1 x)) x)
(-.f64 (+.f64 (neg.f64 x) (fma.f64 y z x)) x)
(-.f64 (fma.f64 y z (-.f64 x x)) x)
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (*.f64 y z) x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) x)
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (*.f64 y z) x))
(-.f64 (fma.f64 y z (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) x)
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (neg.f64 y) z 1))) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 y z 1) x)) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3))) (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (*.f64 y z) x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 1 (*.f64 y z)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x)))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (fma.f64 (neg.f64 y) z 1))) 2) (cbrt.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))))) (cbrt.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (pow.f64 (-.f64 (*.f64 y z) x) 2))) (/.f64 1 (+.f64 (-.f64 (*.f64 y z) x) 1))) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 4)) (+.f64 1 (-.f64 (*.f64 y z) x))) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 4)) (*.f64 (-.f64 (fma.f64 y z 1) x) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) 3)) (/.f64 1 (+.f64 (-.f64 (*.f64 y z) x) 1))) (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) 3)) (*.f64 (+.f64 1 (-.f64 (*.f64 y z) x)) (+.f64 1 (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) 1) (pow.f64 (-.f64 (*.f64 y z) x) 4)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 6)) (*.f64 (-.f64 (fma.f64 y z 1) x) (+.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (pow.f64 (-.f64 (*.f64 y z) x) 4)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) (pow.f64 (-.f64 (*.f64 y z) x) 3))) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1)))) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 6)) (*.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x))) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 6)) (*.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1)))) (+.f64 1 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) (+.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) 1) (pow.f64 (-.f64 (*.f64 y z) x) 6))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) 3)) (*.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))) (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 3) (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 6) 1))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) 1) (+.f64 (-.f64 (*.f64 y z) x) 1))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (-.f64 (fma.f64 y z 1) x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (sqrt.f64 (+.f64 (-.f64 (*.f64 y z) x) 1))) (sqrt.f64 (+.f64 (-.f64 (*.f64 y z) x) 1)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (-.f64 (fma.f64 y z 1) x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (*.f64 (cbrt.f64 (+.f64 (-.f64 (*.f64 y z) x) 1)) (cbrt.f64 (+.f64 (-.f64 (*.f64 y z) x) 1)))) (cbrt.f64 (+.f64 (-.f64 (*.f64 y z) x) 1)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (/.f64 1 (+.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (-.f64 (fma.f64 y z 1) x))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) 1) (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1)))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 (-.f64 (*.f64 y z) x) 1))))
(*.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 (*.f64 y z) x) 2) (+.f64 1 (-.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))))
(pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 1)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(pow.f64 (sqrt.f64 (-.f64 1 (-.f64 (*.f64 y z) x))) 2)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (*.f64 y z) x))) 3)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(pow.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 3) 1/3)
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (+.f64 (+.f64 x (*.f64 y (neg.f64 z))) -1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 2))) (+.f64 -1 (-.f64 x (*.f64 y z))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (*.f64 y z) x) 2)) (-.f64 x (fma.f64 y z 1)))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (+.f64 -1 (neg.f64 (+.f64 (-.f64 (*.f64 y z) x) (pow.f64 (-.f64 (*.f64 y z) x) 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (-.f64 (*.f64 y z) x) 3))) (-.f64 -1 (+.f64 (-.f64 (*.f64 y z) x) (pow.f64 (-.f64 (*.f64 y z) x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (-.f64 -1 (*.f64 (-.f64 (*.f64 y z) x) (-.f64 (fma.f64 y z 1) x))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 (*.f64 y z) x) 3)) (-.f64 (-.f64 x (fma.f64 y z 1)) (pow.f64 (-.f64 (*.f64 y z) x) 2)))
(sqrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 2))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 1 (*.f64 y z))) 2))
(fabs.f64 (+.f64 x (fma.f64 (neg.f64 y) z 1)))
(log.f64 (exp.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x)))))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(cbrt.f64 (pow.f64 (-.f64 1 (-.f64 (*.f64 y z) x)) 3))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))
(expm1.f64 (log.f64 (-.f64 2 (-.f64 (*.f64 y z) x))))
(expm1.f64 (log.f64 (+.f64 (-.f64 2 (*.f64 y z)) x)))
(expm1.f64 (log.f64 (+.f64 x (-.f64 2 (*.f64 y z)))))
(exp.f64 (log1p.f64 (+.f64 x (*.f64 y (neg.f64 z)))))
(exp.f64 (log1p.f64 (-.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 1 (-.f64 (*.f64 y z) x))))
(+.f64 x (-.f64 1 (*.f64 y z)))
(+.f64 x (fma.f64 (neg.f64 y) z 1))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
0.1b
(*.f64 z (sin.f64 y))
0.1b
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
0.1b
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
Compiler

Compiled 41 to 14 computations (65.9% saved)

series5.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
1.0ms
z
@0
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms
y
@inf
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms
y
@-inf
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
0.0ms
y
@0
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))

rewrite112.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
1058×*-commutative
1058×associate-*r/
742×associate-*l/
524×distribute-lft-in
516×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
125548
2306848
Stop Event
node limit
Counts
2 → 203
Calls
Call 1
Inputs
(/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
Outputs
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simplify224.0ms (2.7%)

Algorithm
egg-herbie
Rules
1126×associate-+l-
886×fma-def
864×associate-+r-
676×associate-*r*
638×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054615133
1158613169
2690913165
Stop Event
node limit
Counts
243 → 333
Calls
Call 1
Inputs
1
(+.f64 (*.f64 y z) 1)
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(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 z) (+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 (*.f64 -1 (pow.f64 z 2))) z)) (*.f64 1/6 z))))) (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)))))
(/.f64 1 (cos.f64 y))
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(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (/.f64 1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 3))))
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(/.f64 -1 (*.f64 z (sin.f64 y)))
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1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
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(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
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(*.f64 (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (cos.f64 y))) (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (sin.f64 y)))) (+.f64 (sqrt.f64 (*.f64 z (sin.f64 y))) (sqrt.f64 (cos.f64 y))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -1) (pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))) -1) (pow.f64 (cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -2)) -1))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 1) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) 1) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2) -1) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (+.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (+.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (-.f64 (*.f64 z (sin.f64 y)) (cos.f64 y)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))) (-.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3) (pow.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cos.f64 y) 2)) (*.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (-.f64 (*.f64 (*.f64 z (sin.f64 y)) (+.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) (pow.f64 (cos.f64 y) 2)))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y))))) (sqrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))))) (cbrt.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))) (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2))) (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 1)
(pow.f64 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) -1)
(pow.f64 (sqrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))) 3)
(pow.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3) 1/3)
(neg.f64 (+.f64 (*.f64 z (sin.f64 y)) (neg.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 2))
(log.f64 (exp.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
Outputs
1
(+.f64 (*.f64 y z) 1)
(fma.f64 y z 1)
(+.f64 (*.f64 y z) (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2))))
(+.f64 (fma.f64 y z 1) (*.f64 (-.f64 1/2 (neg.f64 (*.f64 z z))) (*.f64 y y)))
(fma.f64 y z (fma.f64 (+.f64 1/2 (*.f64 z z)) (*.f64 y y) 1))
(+.f64 (*.f64 y z) (+.f64 (*.f64 -1 (*.f64 (pow.f64 y 3) (+.f64 (*.f64 -1/2 z) (+.f64 (*.f64 -1 (*.f64 (-.f64 1/2 (*.f64 -1 (pow.f64 z 2))) z)) (*.f64 1/6 z))))) (+.f64 1 (*.f64 (-.f64 1/2 (*.f64 -1 (pow.f64 z 2))) (pow.f64 y 2)))))
(fma.f64 y z (fma.f64 -1 (*.f64 (pow.f64 y 3) (fma.f64 -1/2 z (fma.f64 -1 (*.f64 z (-.f64 1/2 (neg.f64 (*.f64 z z)))) (*.f64 z 1/6)))) (+.f64 1 (*.f64 (-.f64 1/2 (neg.f64 (*.f64 z z))) (*.f64 y y)))))
(fma.f64 y z (-.f64 (fma.f64 (+.f64 1/2 (*.f64 z z)) (*.f64 y y) 1) (*.f64 (pow.f64 y 3) (fma.f64 z -1/2 (*.f64 z (+.f64 (neg.f64 (+.f64 1/2 (*.f64 z z))) 1/6))))))
(-.f64 (fma.f64 y z (fma.f64 (+.f64 1/2 (*.f64 z z)) (*.f64 y y) 1)) (*.f64 (pow.f64 y 3) (fma.f64 z -1/2 (*.f64 z (+.f64 (-.f64 -1/2 (*.f64 z z)) 1/6)))))
(/.f64 1 (cos.f64 y))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (/.f64 1 (cos.f64 y)))
(+.f64 (/.f64 1 (cos.f64 y)) (/.f64 z (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))))
(+.f64 (/.f64 1 (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (sin.f64 y)))
(+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (/.f64 1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 3))))
(+.f64 (/.f64 z (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (+.f64 (/.f64 1 (cos.f64 y)) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 3))))
(+.f64 (/.f64 1 (cos.f64 y)) (+.f64 (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (sin.f64 y)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 3))))
(+.f64 (/.f64 (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)) (pow.f64 (cos.f64 y) 4)) (+.f64 (/.f64 (*.f64 z (sin.f64 y)) (pow.f64 (cos.f64 y) 2)) (+.f64 (/.f64 1 (cos.f64 y)) (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 3)))))
(+.f64 (+.f64 (/.f64 z (/.f64 (pow.f64 (cos.f64 y) 2) (sin.f64 y))) (+.f64 (/.f64 1 (cos.f64 y)) (/.f64 (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2)) (pow.f64 (cos.f64 y) 3)))) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 4)))
(+.f64 (+.f64 (/.f64 1 (cos.f64 y)) (*.f64 (/.f64 z (pow.f64 (cos.f64 y) 2)) (sin.f64 y))) (+.f64 (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 2) (pow.f64 (cos.f64 y) 3)) (/.f64 (pow.f64 (*.f64 z (sin.f64 y)) 3) (pow.f64 (cos.f64 y) 4))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 z) (sin.f64 y))
(-.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(fma.f64 -1 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(fma.f64 -1 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (-.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y)))))
(/.f64 -1 (*.f64 z (sin.f64 y)))
(/.f64 (/.f64 -1 z) (sin.f64 y))
(-.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (/.f64 (neg.f64 (cos.f64 y)) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(fma.f64 -1 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (*.f64 -1 (+.f64 (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(fma.f64 -1 (+.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y)))) (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3)))
(-.f64 (+.f64 (*.f64 -1 (/.f64 (cos.f64 y) (*.f64 (pow.f64 z 2) (pow.f64 (sin.f64 y) 2)))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (pow.f64 z 3) (pow.f64 (sin.f64 y) 3)))))) (/.f64 1 (*.f64 z (sin.f64 y))))
(-.f64 (fma.f64 -1 (/.f64 (cos.f64 y) (*.f64 (*.f64 z z) (pow.f64 (sin.f64 y) 2))) (fma.f64 -1 (/.f64 (pow.f64 (cos.f64 y) 3) (*.f64 (pow.f64 z 4) (pow.f64 (sin.f64 y) 4))) (neg.f64 (/.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (*.f64 z (sin.f64 y)) 3))))) (/.f64 (/.f64 1 z) (sin.f64 y)))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2))) (/.f64 -1 (*.f64 z (sin.f64 y))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 y) 2)) (pow.f64 (*.f64 z (sin.f64 y)) 3)) (/.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (*.f64 z (sin.f64 y)) 4))) (-.f64 (/.f64 (cos.f64 y) (pow.f64 (*.f64 z (sin.f64 y)) 2)) (/.f64 -1 (*.f64 z (sin.f64 y)))))
1
(+.f64 1 (*.f64 -1 (*.f64 y z)))
(+.f64 1 (neg.f64 (*.f64 y z)))
(fma.f64 (neg.f64 y) z 1)
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (*.f64 (*.f64 y y) -1/2)))
(+.f64 1 (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 y z)))
(+.f64 1 (+.f64 (*.f64 -1 (*.f64 y z)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (*.f64 1/6 (*.f64 (pow.f64 y 3) z)))))
(+.f64 1 (fma.f64 -1 (*.f64 y z) (fma.f64 -1/2 (*.f64 y y) (*.f64 1/6 (*.f64 z (pow.f64 y 3))))))
(+.f64 (fma.f64 (neg.f64 y) z 1) (fma.f64 1/6 (*.f64 z (pow.f64 y 3)) (*.f64 y (*.f64 y -1/2))))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(cos.f64 y)
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(*.f64 -1 (*.f64 z (sin.f64 y)))
(*.f64 z (neg.f64 (sin.f64 y)))
(+.f64 (*.f64 -1 (*.f64 z (sin.f64 y))) (cos.f64 y))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
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(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
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(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(exp.f64 (log.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 1 (cos.f64 y) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)) (*.f64 z (neg.f64 (sin.f64 y))))
(fma.f64 z (neg.f64 (sin.f64 y)) (cos.f64 y))
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))

eval384.0ms (4.6%)

Compiler

Compiled 25829 to 9625 computations (62.7% saved)

prune214.0ms (2.6%)

Pruning

23 alts after pruning (11 fresh and 12 done)

PrunedKeptTotal
New9408948
Fresh134
Picked101
Done01212
Total94223965
Error
0b
Counts
965 → 23
Alt Table
Click to see full alt table
StatusErrorProgram
44.5b
(fma.f64 z (neg.f64 y) 1)
45.4b
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
18.1b
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
44.5b
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
45.0b
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
45.4b
(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
52.2b
(/.f64 1 (+.f64 (*.f64 y z) 1))
45.2b
(/.f64 1 (sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))
30.9b
(-.f64 (/.f64 (cos.f64 y) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
0.0b
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
30.9b
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
17.9b
(-.f64 1 (-.f64 (*.f64 y z) x))
44.5b
(-.f64 1 (*.f64 y z))
17.5b
(+.f64 (cos.f64 y) x)
21.7b
(+.f64 x 1)
17.9b
(+.f64 1 (fma.f64 (neg.f64 y) z x))
45.3b
(*.f64 (sin.f64 y) (neg.f64 z))
62.6b
(*.f64 y (*.f64 y -1/2))
54.9b
(*.f64 y (neg.f64 z))
41.5b
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
48.1b
(cos.f64 y)
32.3b
x
51.9b
1
Compiler

Compiled 224 to 172 computations (23.2% saved)

regimes66.0ms (0.8%)

Counts
32 → 1
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (cos.f64 y) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(expm1.f64 (log1p.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
(/.f64 1 (sqrt.f64 (pow.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) -2)))
(+.f64 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
(+.f64 (+.f64 (cos.f64 y) (-.f64 x (*.f64 z (sin.f64 y)))) (*.f64 2 (fma.f64 (neg.f64 (sin.f64 y)) z (*.f64 z (sin.f64 y)))))
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
Calls

4 calls:

15.0ms
y
15.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
15.0ms
z
14.0ms
x
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 292 to 133 computations (54.5% saved)

regimes100.0ms (1.2%)

Counts
26 → 1
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (/.f64 (cos.f64 y) 1) (/.f64 (sin.f64 y) (/.f64 1 z)))
(/.f64 1 (/.f64 1 (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))))
(/.f64 1 (/.f64 1 (+.f64 x (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))))))
Outputs
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Calls

4 calls:

55.0ms
x
13.0ms
z
13.0ms
y
12.0ms
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1y
0.0b1z
0.0b1(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
Compiler

Compiled 211 to 113 computations (46.4% saved)

regimes204.0ms (2.5%)

Counts
22 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 (cos.f64 y) (*.f64 z (sin.f64 y)))
x
Calls

3 calls:

88.0ms
y
67.0ms
x
45.0ms
z
Results
ErrorSegmentsBranch
4.5b3x
8.2b6y
9.2b3z
Compiler

Compiled 155 to 88 computations (43.2% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
2.5328819416192745e+26
4.413944107903923e+28
26.0ms
-2.2983313172720224e-9
-3.494348445991522e-10
Results
24.0ms154×body256valid
16.0ms35×body1024valid
7.0ms19×body512valid
Compiler

Compiled 244 to 181 computations (25.8% saved)

regimes142.0ms (1.7%)

Counts
21 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 z (neg.f64 y) 1)
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 1 (fma.f64 (neg.f64 y) z x))
(/.f64 1 (/.f64 -1 (*.f64 z (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 -1 z) (sin.f64 y)))
(fma.f64 y (-.f64 (*.f64 y -1/2) z) 1)
Outputs
(+.f64 (cos.f64 y) x)
(+.f64 1 (fma.f64 y (neg.f64 z) x))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

64.0ms
x
38.0ms
z
30.0ms
y
Results
ErrorSegmentsBranch
11.8b7x
9.7b3y
10.7b3z
Compiler

Compiled 148 to 87 computations (41.2% saved)

bsearch50.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
6.297905557255283e-21
9.468450812436943e-20
32.0ms
-12603.249827342283
-1.720045896883122e-6
Results
45.0ms256×body256valid
Compiler

Compiled 322 to 237 computations (26.4% saved)

regimes108.0ms (1.3%)

Counts
16 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
(+.f64 (cos.f64 y) x)
(*.f64 (sin.f64 y) (neg.f64 z))
(fma.f64 z (neg.f64 y) 1)
Outputs
(+.f64 (cos.f64 y) x)
(-.f64 1 (-.f64 (*.f64 y z) x))
(+.f64 (cos.f64 y) x)
Calls

3 calls:

51.0ms
x
31.0ms
z
23.0ms
y
Results
ErrorSegmentsBranch
11.8b7x
9.7b3y
10.7b3z
Compiler

Compiled 110 to 66 computations (40% saved)

bsearch47.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
6.297905557255283e-21
9.468450812436943e-20
29.0ms
-12603.249827342283
-1.720045896883122e-6
Results
44.0ms256×body256valid
Compiler

Compiled 322 to 237 computations (26.4% saved)

regimes125.0ms (1.5%)

Counts
13 → 5
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
(cos.f64 y)
Outputs
(+.f64 x 1)
(-.f64 1 (-.f64 (*.f64 y z) x))
(cos.f64 y)
(-.f64 1 (-.f64 (*.f64 y z) x))
x
Calls

3 calls:

45.0ms
y
44.0ms
z
34.0ms
x
Results
ErrorSegmentsBranch
13.2b5x
13.9b3y
16.1b3z
Compiler

Compiled 96 to 60 computations (37.5% saved)

bsearch129.0ms (1.6%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
2.2102745179226485e+42
1.6600655633531183e+46
29.0ms
8.329411536925703e-264
6.836757515802653e-262
29.0ms
-1.1175168455859363e-150
-5.753457638259579e-152
45.0ms
-765513.403387054
-3.548814972892723e-5
Results
57.0ms362×body256valid
47.0ms99×body1024valid
16.0ms51×body512valid
Compiler

Compiled 564 to 431 computations (23.6% saved)

regimes65.0ms (0.8%)

Counts
12 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
(-.f64 1 (-.f64 (*.f64 y z) x))
(/.f64 1 (+.f64 (*.f64 y z) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (*.f64 y z))))
(+.f64 (+.f64 1 x) (*.f64 y (-.f64 (*.f64 y -1/2) z)))
(/.f64 1 (/.f64 1 (-.f64 1 (-.f64 (*.f64 y z) x))))
(/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (*.f64 (*.f64 -1/2 y) y) (*.f64 y z)))))
Outputs
(+.f64 x 1)
(-.f64 1 (-.f64 (*.f64 y z) x))
(+.f64 x 1)
Calls

3 calls:

23.0ms
x
20.0ms
y
19.0ms
z
Results
ErrorSegmentsBranch
14.8b3x
13.9b3y
16.1b3z
Compiler

Compiled 94 to 59 computations (37.2% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
6.297905557255283e-21
9.468450812436943e-20
30.0ms
-12603.249827342283
-1.720045896883122e-6
Results
45.0ms256×body256valid
Compiler

Compiled 306 to 237 computations (22.5% saved)

regimes51.0ms (0.6%)

Counts
6 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
(-.f64 1 (*.f64 y z))
Outputs
(+.f64 x 1)
(-.f64 1 (*.f64 y z))
(+.f64 x 1)
Calls

3 calls:

21.0ms
y
15.0ms
z
14.0ms
x
Results
ErrorSegmentsBranch
15.4b3x
19.0b5y
20.6b2z
Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch54.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
1.0262553506869483e-21
3.273302391936164e-20
25.0ms
-2.2983313172720224e-9
-3.494348445991522e-10
Results
24.0ms143×body256valid
21.0ms43×body1024valid
6.0ms22×body512valid
Compiler

Compiled 226 to 182 computations (19.5% saved)

regimes31.0ms (0.4%)

Counts
5 → 3
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(*.f64 y (*.f64 y -1/2))
Outputs
(+.f64 x 1)
(*.f64 y (neg.f64 z))
(+.f64 x 1)
Calls

3 calls:

13.0ms
z
13.0ms
y
4.0ms
x
Results
ErrorSegmentsBranch
21.7b1x
20.5b3y
20.6b2z
Compiler

Compiled 29 to 20 computations (31% saved)

bsearch49.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
24.0ms
4.0335876955853797e-32
8.438402768591618e-29
25.0ms
1.7685853506545586e-53
3.280463525805701e-47
Results
46.0ms272×body256valid
Compiler

Compiled 273 to 217 computations (20.5% saved)

regimes13.0ms (0.2%)

Counts
3 → 1
Calls
Call 1
Inputs
1
x
(+.f64 x 1)
Outputs
(+.f64 x 1)
Calls

3 calls:

5.0ms
y
3.0ms
x
3.0ms
z
Results
ErrorSegmentsBranch
21.7b1x
21.7b1y
21.7b1z
Compiler

Compiled 20 to 15 computations (25% saved)

regimes16.0ms (0.2%)

Accuracy

Total -39.7b remaining (-177.9%)

Threshold costs -39.7b (-177.9%)

Counts
2 → 3
Calls
Call 1
Inputs
1
x
Outputs
x
1
x
Calls

3 calls:

9.0ms
x
4.0ms
y
3.0ms
z
Results
ErrorSegmentsBranch
22.3b3x
32.3b1y
32.3b1z
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch89.0ms (1.1%)

Algorithm
binary-search
Steps
TimeLeftRight
45.0ms
4.697908781145487e-10
88171.44373659574
45.0ms
-765513.403387054
-3.548814972892723e-5
Results
39.0ms84×body1024valid
34.0ms203×body256valid
11.0ms32×body512valid
1.0msbody2048valid
Compiler

Compiled 218 to 193 computations (11.5% saved)

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
40×+-commutative
30×*-commutative
20×sub-neg
16×neg-sub0
14×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077470
1122470
2149470
3170470
4186470
5189470
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(if (<=.f64 x -785801782749509/604462909807314587353088) (+.f64 (cos.f64 y) x) (if (<=.f64 x 950000000000000053854863360) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(if (<=.f64 y -1170935903116329/2251799813685248) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (+.f64 1 (fma.f64 y (neg.f64 z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 y -2478781234904721/576460752303423488) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (-.f64 1 (-.f64 (*.f64 y z) x)) (+.f64 (cos.f64 y) x)))
(if (<=.f64 x -750000) (+.f64 x 1) (if (<=.f64 x -138206631768367/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (-.f64 1 (-.f64 (*.f64 y z) x)) (if (<=.f64 x 3368058354983077/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (cos.f64 y) (if (<=.f64 x 4000000000000000179542850712303667142197248) (-.f64 1 (-.f64 (*.f64 y z) x)) x))))
(if (<=.f64 y -7093169413108531/2251799813685248) (+.f64 x 1) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (-.f64 1 (-.f64 (*.f64 y z) x)) (+.f64 x 1)))
(if (<=.f64 x -5077488442381443/2417851639229258349412352) (+.f64 x 1) (if (<=.f64 x 5150758483666549/166153499473114484112975882535043072) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 y 822752278660603/25711008708143844408671393477458601640355247900524685364822016) (+.f64 x 1) (if (<=.f64 y 959110449498405/22835963083295358096932575511191922182123945984) (*.f64 y (neg.f64 z)) (+.f64 x 1)))
(+.f64 x 1)
(if (<=.f64 x -2116691824864133/2251799813685248) x (if (<=.f64 x 1) 1 x))
1
Outputs
(fma.f64 (sin.f64 y) (neg.f64 z) (+.f64 x (cos.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
(-.f64 (+.f64 x (cos.f64 y)) (*.f64 (sin.f64 y) z))
(if (<=.f64 x -785801782749509/604462909807314587353088) (+.f64 (cos.f64 y) x) (if (<=.f64 x 950000000000000053854863360) (-.f64 (cos.f64 y) (*.f64 z (sin.f64 y))) x))
(if (<=.f64 x -785801782749509/604462909807314587353088) (+.f64 x (cos.f64 y)) (if (<=.f64 x 950000000000000053854863360) (-.f64 (cos.f64 y) (*.f64 (sin.f64 y) z)) x))
(if (<=.f64 y -1170935903116329/2251799813685248) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (+.f64 1 (fma.f64 y (neg.f64 z) x)) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -1170935903116329/2251799813685248) (not (<=.f64 y 3821530487881633/41538374868278621028243970633760768))) (+.f64 x (cos.f64 y)) (+.f64 1 (fma.f64 y (neg.f64 z) x)))
(if (<=.f64 y -2478781234904721/576460752303423488) (+.f64 (cos.f64 y) x) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (-.f64 1 (-.f64 (*.f64 y z) x)) (+.f64 (cos.f64 y) x)))
(if (or (<=.f64 y -2478781234904721/576460752303423488) (not (<=.f64 y 3821530487881633/41538374868278621028243970633760768))) (+.f64 x (cos.f64 y)) (-.f64 1 (-.f64 (*.f64 y z) x)))
(if (<=.f64 x -750000) (+.f64 x 1) (if (<=.f64 x -138206631768367/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312) (-.f64 1 (-.f64 (*.f64 y z) x)) (if (<=.f64 x 3368058354983077/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304) (cos.f64 y) (if (<=.f64 x 4000000000000000179542850712303667142197248) (-.f64 1 (-.f64 (*.f64 y z) x)) x))))
(if (<=.f64 y -7093169413108531/2251799813685248) (+.f64 x 1) (if (<=.f64 y 3821530487881633/41538374868278621028243970633760768) (-.f64 1 (-.f64 (*.f64 y z) x)) (+.f64 x 1)))
(if (<=.f64 x -5077488442381443/2417851639229258349412352) (+.f64 x 1) (if (<=.f64 x 5150758483666549/166153499473114484112975882535043072) (-.f64 1 (*.f64 y z)) (+.f64 x 1)))
(if (<=.f64 y 822752278660603/25711008708143844408671393477458601640355247900524685364822016) (+.f64 x 1) (if (<=.f64 y 959110449498405/22835963083295358096932575511191922182123945984) (*.f64 y (neg.f64 z)) (+.f64 x 1)))
(+.f64 x 1)
(if (<=.f64 x -2116691824864133/2251799813685248) x (if (<=.f64 x 1) 1 x))
1
Compiler

Compiled 223 to 153 computations (31.4% saved)

soundness64.0ms (0.8%)

Algorithm
egg-herbie
Rules
392×fma-def
246×associate-+l-
218×associate--r+
182×associate--l+
156×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
12027
24327
37227
412327
520427
639827
766227
886027
9119627
10130027
11131027
Stop Event
saturated
Compiler

Compiled 51 to 15 computations (70.6% saved)

end89.0ms (1.1%)

Compiler

Compiled 190 to 101 computations (46.8% saved)

Profiling

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