Details

Time bar (total: 17.3s)

analyze352.0ms (2%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.7%0.3%0%0%0%0
0%0%99.7%0.3%0%0%0%1
0%0%99.7%0.3%0%0%0%2
0%0%99.7%0.3%0%0%0%3
0%0%99.7%0.3%0%0%0%4
0%0%99.7%0.3%0%0%0%5
0%0%99.7%0.3%0%0%0%6
0%0%99.7%0.3%0%0%0%7
0%0%99.7%0.3%0%0%0%8
0%0%97.4%0.3%2.3%0%0%9
0%0%47.5%0.3%3.5%48.7%0%10
0%0%47.5%0.3%3.5%48.7%0%11
0%0%47.5%0.3%3.5%48.7%0%12
Compiler

Compiled 25 to 18 computations (28% saved)

sample7.5s (43.2%)

Results
3.5s12697×body256invalid
2.4s7837×body256valid
1.2s5564×body256infinite
145.0ms303×body512valid
79.0ms116×body1024valid
72.0ms127×body512infinite
34.0ms51×body1024infinite
Bogosity

preprocess52.0ms (0.3%)

Algorithm
egg-herbie
Rules
1096×fma-def
1024×unswap-sqr
992×+-commutative
640×sqr-pow
632×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122816
1273784
2650784
31486784
44538784
066
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
1
2
3
4
5
Outputs
0
1
2
3
4
5
Call 2
Inputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 y (exp.f64 (+.f64 (*.f64 x (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 z (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 x) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(*.f64 t (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) x)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 a (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 b (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 z (-.f64 (log.f64 y) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 t (-.f64 (log.f64 z) y)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 a (-.f64 (log.f64 z) t)) (*.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 b (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 t) z)) (*.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 a) t)) (*.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 b) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) a)) (*.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 y (exp.f64 (+.f64 (*.f64 x (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 y (exp.f64 (fma.f64 x (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 y (exp.f64 (fma.f64 x (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 z (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 x) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(*.f64 z (exp.f64 (fma.f64 y (-.f64 (log.f64 x) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 x)) b)))))
(*.f64 z (exp.f64 (fma.f64 y (-.f64 (log.f64 x) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 x)) b)))))
(*.f64 z (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 x)) b) (*.f64 y (-.f64 (log.f64 x) t)))))
(*.f64 t (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) x)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 t (exp.f64 (fma.f64 y (-.f64 (log.f64 z) x) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 t (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) x)))))
(*.f64 t (exp.f64 (fma.f64 y (-.f64 (log.f64 z) x) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 a (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 a (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 x (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 a (exp.f64 (fma.f64 x (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))))
(*.f64 b (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(*.f64 b (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) x)))))
(*.f64 b (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) x)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 z (-.f64 (log.f64 y) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(*.f64 x (exp.f64 (fma.f64 z (-.f64 (log.f64 y) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 y)) b)))))
(*.f64 x (exp.f64 (fma.f64 z (-.f64 (log.f64 y) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 y)) b)))))
(*.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 y)) b) (*.f64 z (-.f64 (log.f64 y) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 t (-.f64 (log.f64 z) y)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 t (-.f64 (log.f64 z) y) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 t (-.f64 (log.f64 z) y)))))
(*.f64 x (exp.f64 (fma.f64 t (-.f64 (log.f64 z) y) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 a (-.f64 (log.f64 z) t)) (*.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 a (-.f64 (log.f64 z) t) (*.f64 y (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 (-.f64 (log.f64 z) t) a))))
(*.f64 x (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) a (*.f64 y (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 b (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(*.f64 x (exp.f64 (fma.f64 b (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) y)))))
(*.f64 x (exp.f64 (fma.f64 (-.f64 (log.f64 z) t) b (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) y)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 t) z)) (*.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 t) z) (*.f64 a (-.f64 (log.f64 (-.f64 1 t)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 t) z) (*.f64 a (-.f64 (log1p.f64 (neg.f64 t)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 a) t)) (*.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (*.f64 z (-.f64 (log.f64 (-.f64 1 a)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 a) t) (*.f64 z (-.f64 (log1p.f64 (neg.f64 a)) b)))))
(*.f64 x (exp.f64 (fma.f64 z (-.f64 (log1p.f64 (neg.f64 a)) b) (*.f64 y (-.f64 (log.f64 a) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 b) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 b)) z)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 b) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 b)) z)))))
(*.f64 x (exp.f64 (fma.f64 a (-.f64 (log1p.f64 (neg.f64 b)) z) (*.f64 y (-.f64 (log.f64 b) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) a)) (*.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (*.f64 t (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) a) (*.f64 t (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) b)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) t)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) b) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) t)))))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (-.f64 (log.f64 (-.f64 1 z)) a)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 b (-.f64 (log1p.f64 (neg.f64 z)) a)))))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify87.0ms (0.5%)

Algorithm
egg-herbie
Rules
1358×associate-/l*
1116×associate-*r/
800×unswap-sqr
776×associate-/r*
768×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02051
13749
27649
316649
442849
5139749
6368649
Stop Event
node limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

eval1.0ms (0%)

Compiler

Compiled 57 to 32 computations (43.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.3b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
2.6b
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
Compiler

Compiled 46 to 32 computations (30.4% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b
(*.f64 y (-.f64 (log.f64 z) t))
0.8b
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
5.0b
(log.f64 (-.f64 1 z))
Compiler

Compiled 95 to 45 computations (52.6% saved)

series195.0ms (1.1%)

Counts
4 → 164
Calls

42 calls:

TimeVariablePointExpression
38.0ms
z
@0
(*.f64 y (-.f64 (log.f64 z) t))
38.0ms
a
@inf
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
35.0ms
y
@0
(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
31.0ms
y
@0
(*.f64 y (-.f64 (log.f64 z) t))
11.0ms
z
@-inf
(*.f64 y (-.f64 (log.f64 z) t))

rewrite137.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1782×distribute-lft-in
540×associate-/r*
486×associate-/l*
450×associate-+l+
406×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018114
1381108
25201108
Stop Event
node limit
Counts
4 → 161
Calls
Call 1
Inputs
(log.f64 (-.f64 1 z))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
(*.f64 y (-.f64 (log.f64 z) t))
(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
Outputs
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simplify196.0ms (1.1%)

Algorithm
egg-herbie
Rules
1030×fma-def
1010×associate-*r*
782×associate-*l*
604×+-commutative
576×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065318381
1188117261
Stop Event
node limit
Counts
325 → 403
Calls
Call 1
Inputs
(*.f64 -1 z)
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2)))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2))))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/4 (pow.f64 z 4)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (/.f64 1 z))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(*.f64 -1 (log.f64 (/.f64 -1 z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b)))))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 -1/3 (*.f64 a (pow.f64 z 3))) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))
(+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z)))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(+.f64 (*.f64 -1 (/.f64 a z)) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (+.f64 (*.f64 -1/3 (/.f64 a (pow.f64 z 3))) (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)))))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y t)) (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (*.f64 -1 (*.f64 y t)) (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(+.f64 (*.f64 -1 (*.f64 y t)) (+.f64 (*.f64 y (log.f64 z)) (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)))
(*.f64 -1 (*.f64 y t))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(*.f64 -1 (*.f64 y t))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(+.f64 (*.f64 y (log.f64 z)) (+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 -1 (*.f64 y t))))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (-.f64 (log.f64 z) t)))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (-.f64 (log.f64 z) t)))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 y (-.f64 (log.f64 z) t)))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (log.f64 (-.f64 1 z))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 a (log.f64 (-.f64 1 z)))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 a (log.f64 (-.f64 1 z)))))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (+.f64 (*.f64 -1 (*.f64 a b)) (*.f64 a (log.f64 (-.f64 1 z)))))
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 -1 (*.f64 a b))))
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (log.f64 z) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
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(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 3) (pow.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 2) (*.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (-.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (*.f64 y (-.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 2) (*.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (-.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (*.f64 y (-.f64 (log.f64 z) t)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 2) (*.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (-.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (*.f64 y (-.f64 (log.f64 z) t)))))))
(pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) 1)
(pow.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 3)
(pow.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) 2))
(log.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(cbrt.f64 (pow.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) 3))
(expm1.f64 (log1p.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(exp.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(fma.f64 1 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(fma.f64 1 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)) (*.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(fma.f64 (-.f64 (log.f64 z) t) y (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(fma.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b) (*.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(fma.f64 (sqrt.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) (sqrt.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) (*.f64 y (-.f64 (log.f64 z) t)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2) (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) 2) (cbrt.f64 (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))) (*.f64 y (-.f64 (log.f64 z) t)))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 y (fma.f64 (neg.f64 t) 1 t)))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 y (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t)))
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 y (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (neg.f64 t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 y (*.f64 (neg.f64 t) 1)))
(+.f64 (*.f64 y (neg.f64 t)) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 (log.f64 z) y) (*.f64 (neg.f64 t) y))
(+.f64 (*.f64 (neg.f64 t) y) (*.f64 (log.f64 z) y))
(+.f64 (*.f64 1 (*.f64 y (log.f64 z))) (*.f64 1 (*.f64 y (neg.f64 t))))
(+.f64 (*.f64 1 (*.f64 (log.f64 z) y)) (*.f64 1 (*.f64 (neg.f64 t) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t)))) 1)
(/.f64 y (/.f64 1 (-.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (/.f64 (+.f64 (log.f64 z) t) y))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) y))
(/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) 1) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) 1) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 (log.f64 z) t))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 2))
(log.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) t)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 (log.f64 z) t)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(exp.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 (log.f64 z) t))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))) 1)
(*.f64 1 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(*.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 1)
(*.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) 2) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (pow.f64 (/.f64 (-.f64 1 z) (exp.f64 b)) a))
(*.f64 (pow.f64 (/.f64 (-.f64 1 z) (exp.f64 b)) a) (pow.f64 (/.f64 z (exp.f64 t)) y))
(pow.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 3) 1/3)
(pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (sqrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 2)) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 2))
(log.f64 (exp.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(+.f64 (*.f64 -1 z) (*.f64 -1/2 (pow.f64 z 2)))
(fma.f64 -1 z (*.f64 -1/2 (*.f64 z z)))
(fma.f64 -1/2 (*.f64 z z) (neg.f64 z))
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (*.f64 -1/2 (pow.f64 z 2))))
(fma.f64 -1 z (fma.f64 -1/3 (pow.f64 z 3) (*.f64 -1/2 (*.f64 z z))))
(-.f64 (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/3 (pow.f64 z 3))) z)
(+.f64 (*.f64 -1 z) (+.f64 (*.f64 -1/3 (pow.f64 z 3)) (+.f64 (*.f64 -1/2 (pow.f64 z 2)) (*.f64 -1/4 (pow.f64 z 4)))))
(fma.f64 -1 z (fma.f64 -1/3 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/4 (pow.f64 z 4)))))
(-.f64 (fma.f64 -1/3 (pow.f64 z 3) (fma.f64 -1/2 (*.f64 z z) (*.f64 -1/4 (pow.f64 z 4)))) z)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1))
(fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1))
(+.f64 (log.f64 -1) (log.f64 z))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (/.f64 1 z))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (/.f64 1 z))
(+.f64 (log.f64 z) (+.f64 (log.f64 -1) (/.f64 -1 z)))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (+.f64 (/.f64 1 z) (/.f64 1/2 (*.f64 z z))))
(+.f64 (log.f64 z) (-.f64 (+.f64 (log.f64 -1) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z))))
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) (+.f64 (/.f64 1/2 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(+.f64 (log.f64 z) (-.f64 (-.f64 (log.f64 -1) (/.f64 1/2 (*.f64 z z))) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(*.f64 -1 (log.f64 (/.f64 -1 z)))
(neg.f64 (log.f64 (/.f64 -1 z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (/.f64 1 z))
(fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (/.f64 1 z)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 1 z) (/.f64 1/2 (*.f64 z z))))
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 z 3))) (/.f64 1 z))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (/.f64 1/2 (*.f64 z z)) (+.f64 (/.f64 1 z) (/.f64 1/3 (pow.f64 z 3)))))
(-.f64 (-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 z)) (/.f64 -1 z)) (/.f64 1/2 (*.f64 z z))) (/.f64 1/3 (pow.f64 z 3)))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
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(exp.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
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(log1p.f64 (expm1.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
(exp.f64 (fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (fma.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y)))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (log.f64 z) t)
0.0b
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
0.0b
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
0.3b
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
Compiler

Compiled 78 to 15 computations (80.8% saved)

series59.0ms (0.3%)

Counts
4 → 152
Calls

45 calls:

TimeVariablePointExpression
23.0ms
b
@inf
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
12.0ms
a
@0
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
2.0ms
y
@0
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
2.0ms
t
@0
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
2.0ms
t
@-inf
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

rewrite108.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1312×associate-*r/
986×associate-*l/
374×add-sqr-sqrt
368×*-un-lft-identity
366×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017114
1351102
24599102
Stop Event
node limit
Counts
4 → 237
Calls
Call 1
Inputs
(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(-.f64 (log.f64 z) t)
Outputs
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expm1.f64 (log1p.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 z) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (log.f64 z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (log.f64 z) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (log.f64 z)) (neg.f64 t))))))

simplify166.0ms (1%)

Algorithm
egg-herbie
Rules
1130×associate-*r*
908×associate-*l*
782×associate-/l*
742×+-commutative
660×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080520191
1225019673
Stop Event
node limit
Counts
389 → 505
Calls
Call 1
Inputs
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(+.f64 (neg.f64 t) (+.f64 (log.f64 z) (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t)))
(+.f64 (neg.f64 t) (+.f64 (log.f64 z) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t)))
(+.f64 0 (-.f64 (log.f64 z) t))
(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (log.f64 (sqrt.f64 z)) (neg.f64 t)))
(+.f64 (log.f64 (sqrt.f64 z)) (+.f64 (log.f64 (sqrt.f64 z)) (*.f64 (neg.f64 t) 1)))
(+.f64 (log.f64 (sqrt.f64 z)) (-.f64 (log.f64 (sqrt.f64 z)) t))
(+.f64 (log.f64 -1) (-.f64 (log.f64 z) t))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (+.f64 (log.f64 (cbrt.f64 z)) (neg.f64 t)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (+.f64 (log.f64 (cbrt.f64 z)) (*.f64 (neg.f64 t) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 z) 2)) (-.f64 (log.f64 (cbrt.f64 z)) t))
(+.f64 (*.f64 (neg.f64 t) 1) (log.f64 z))
(+.f64 (fma.f64 (neg.f64 t) 1 t) (-.f64 (log.f64 z) t))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t) (-.f64 (log.f64 z) t))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t) (-.f64 (log.f64 z) t))
(+.f64 (+.f64 (neg.f64 t) 0) (log.f64 z))
(+.f64 (+.f64 (neg.f64 t) (log.f64 (sqrt.f64 z))) (log.f64 (sqrt.f64 z)))
(+.f64 (+.f64 (neg.f64 t) (log.f64 -1)) (log.f64 z))
(+.f64 (+.f64 (neg.f64 t) (log.f64 (pow.f64 (cbrt.f64 z) 2))) (log.f64 (cbrt.f64 z)))
(+.f64 (-.f64 (log.f64 z) (exp.f64 (log1p.f64 t))) 1)
(*.f64 (-.f64 (log.f64 z) t) 1)
(*.f64 1 (-.f64 (log.f64 z) t))
(*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (-.f64 (log.f64 z) t)))
(*.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (-.f64 (log.f64 z) t)))
(*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (/.f64 1 (+.f64 (log.f64 z) t)))
(*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(*.f64 (+.f64 (sqrt.f64 t) (sqrt.f64 (log.f64 z))) (-.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 t)))
(/.f64 1 (/.f64 1 (-.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (+.f64 (log.f64 z) t))
(/.f64 (+.f64 (log.f64 z) t) (/.f64 (+.f64 (log.f64 z) t) (-.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) (-.f64 (log.f64 z) t)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (/.f64 (+.f64 (log.f64 z) t) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (/.f64 (+.f64 (log.f64 z) t) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (-.f64 (log.f64 z) (neg.f64 t)))
(/.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3)) (-.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (*.f64 (log.f64 z) (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (neg.f64 (+.f64 (log.f64 z) t)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t)))) (-.f64 (log.f64 z) (neg.f64 t)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3))) (-.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (*.f64 (log.f64 z) (neg.f64 t))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (neg.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) 1) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) 1) (-.f64 (log.f64 z) (neg.f64 t)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3)) 1) (-.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (*.f64 (log.f64 z) (neg.f64 t))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) 1) (neg.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 z) 2)) (*.f64 (*.f64 t t) (*.f64 t t))) (/.f64 1 (+.f64 (log.f64 z) t))) (+.f64 (*.f64 t t) (pow.f64 (log.f64 z) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 3) (pow.f64 (*.f64 t t) 3)) (/.f64 1 (+.f64 (log.f64 z) t))) (+.f64 (*.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 z) 2)) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 z) 3)) (*.f64 (pow.f64 t 3) (pow.f64 t 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 3) 3) (pow.f64 (pow.f64 t 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (+.f64 (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 z) 3)) (+.f64 (*.f64 (pow.f64 t 3) (pow.f64 t 3)) (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) 1) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(pow.f64 (-.f64 (log.f64 z) t) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 2))
(log.f64 (/.f64 z (exp.f64 t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 z) t))))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 z) t)))
(exp.f64 (log.f64 (-.f64 (log.f64 z) t)))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 z) t)) 1))
(log1p.f64 (expm1.f64 (-.f64 (log.f64 z) t)))
(fma.f64 1 (log.f64 z) (neg.f64 t))
(fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (log.f64 z)) (neg.f64 t))
Outputs
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 (-.f64 (log.f64 z) t) y)
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a) (*.f64 (-.f64 (log.f64 z) t) y))
(fma.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (neg.f64 b) (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b))))
(fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 -1 (*.f64 z a) (*.f64 a (neg.f64 b))))
(fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (*.f64 a (+.f64 z b))))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b)))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 -1 (*.f64 z a) (*.f64 a (neg.f64 b)))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (*.f64 a (+.f64 z b)))))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 -1/3 (*.f64 a (pow.f64 z 3))) (*.f64 -1 (*.f64 a b))))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (fma.f64 (-.f64 (log.f64 z) t) y (fma.f64 -1 (*.f64 z a) (fma.f64 -1/3 (*.f64 a (pow.f64 z 3)) (*.f64 a (neg.f64 b))))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (+.f64 (fma.f64 (-.f64 (log.f64 z) t) y (neg.f64 (*.f64 a (+.f64 z b)))) (*.f64 a (*.f64 -1/3 (pow.f64 z 3)))))
(+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)))
(fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (*.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b)))
(+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z))))
(fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (neg.f64 (/.f64 a z))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (*.f64 -1 (/.f64 a z)))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (neg.f64 (/.f64 a z)))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (fma.f64 -1 (/.f64 a z) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y (fma.f64 -1 (/.f64 a z) (/.f64 a (/.f64 (pow.f64 z 3) -1/3))))))
(+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (/.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (cbrt.f64 (+.f64 (log.f64 z) t))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) 1) (+.f64 (log.f64 z) t))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) 1) (-.f64 (log.f64 z) (neg.f64 t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (-.f64 (log.f64 z) (neg.f64 t)))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3)) 1) (-.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (neg.f64 t))) (*.f64 (log.f64 z) (neg.f64 t))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) 1) (neg.f64 (+.f64 (log.f64 z) t)))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (neg.f64 (+.f64 (log.f64 z) t))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 z) 2)) (*.f64 t t)) (-.f64 (neg.f64 t) (log.f64 z)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) 1) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (+.f64 (pow.f64 t 3) (neg.f64 (pow.f64 (log.f64 z) 3))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (/.f64 (sqrt.f64 (+.f64 (log.f64 z) t)) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (/.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (cbrt.f64 (+.f64 (log.f64 z) t))) (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 z) 2)) (*.f64 (*.f64 t t) (*.f64 t t))) (/.f64 1 (+.f64 (log.f64 z) t))) (+.f64 (*.f64 t t) (pow.f64 (log.f64 z) 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 4) (*.f64 t (pow.f64 t 3))) (/.f64 (fma.f64 t t (pow.f64 (log.f64 z) 2)) (/.f64 1 (+.f64 (log.f64 z) t))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 4) (*.f64 t (pow.f64 t 3))) (*.f64 (fma.f64 t t (pow.f64 (log.f64 z) 2)) (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 3) (pow.f64 (*.f64 t t) 3)) (/.f64 1 (+.f64 (log.f64 z) t))) (+.f64 (*.f64 (pow.f64 (log.f64 z) 2) (pow.f64 (log.f64 z) 2)) (+.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 2) 3) (pow.f64 t 6)) (/.f64 (+.f64 (pow.f64 (log.f64 z) 4) (*.f64 (*.f64 t t) (fma.f64 t t (pow.f64 (log.f64 z) 2)))) (/.f64 1 (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 6) (pow.f64 t 6)) (+.f64 (log.f64 z) t)) (+.f64 (pow.f64 (log.f64 z) 4) (*.f64 t (*.f64 t (fma.f64 t t (pow.f64 (log.f64 z) 2))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 z) 3)) (*.f64 (pow.f64 t 3) (pow.f64 t 3))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 6) (pow.f64 t 6)) (/.f64 (+.f64 (pow.f64 t 3) (pow.f64 (log.f64 z) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 6) (pow.f64 t 6)) (*.f64 (+.f64 (pow.f64 t 3) (pow.f64 (log.f64 z) 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 3) 3) (pow.f64 (pow.f64 t 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (+.f64 (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (log.f64 z) 3)) (+.f64 (*.f64 (pow.f64 t 3) (pow.f64 t 3)) (*.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 3) 3) (pow.f64 (pow.f64 t 3) 3)) (/.f64 (+.f64 (pow.f64 (log.f64 z) 6) (+.f64 (pow.f64 t 6) (*.f64 (pow.f64 t 3) (pow.f64 (log.f64 z) 3)))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (log.f64 z) 3) 3) (pow.f64 (pow.f64 t 3) 3)) (+.f64 (pow.f64 (log.f64 z) 6) (+.f64 (pow.f64 t 6) (*.f64 (pow.f64 t 3) (pow.f64 (log.f64 z) 3))))) (/.f64 1 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) 1) (+.f64 (log.f64 z) t))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (*.f64 (sqrt.f64 (+.f64 (log.f64 z) t)) (sqrt.f64 (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))))
(pow.f64 (-.f64 (log.f64 z) t) 1)
(-.f64 (log.f64 z) t)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) 2)
(-.f64 (log.f64 z) t)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 3)
(-.f64 (log.f64 z) t)
(pow.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) 1/3)
(-.f64 (log.f64 z) t)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 2))
(log.f64 (/.f64 z (exp.f64 t)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log.f64 z) t))))
(-.f64 (log.f64 z) t)
(cbrt.f64 (pow.f64 (-.f64 (log.f64 z) t) 3))
(-.f64 (log.f64 z) t)
(expm1.f64 (log1p.f64 (-.f64 (log.f64 z) t)))
(-.f64 (log.f64 z) t)
(exp.f64 (log.f64 (-.f64 (log.f64 z) t)))
(-.f64 (log.f64 z) t)
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 z) t)) 1))
(-.f64 (log.f64 z) t)
(log1p.f64 (expm1.f64 (-.f64 (log.f64 z) t)))
(-.f64 (log.f64 z) t)
(fma.f64 1 (log.f64 z) (neg.f64 t))
(-.f64 (log.f64 z) t)
(fma.f64 (sqrt.f64 (log.f64 z)) (sqrt.f64 (log.f64 z)) (neg.f64 t))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 z)) 2) (cbrt.f64 (log.f64 z)) (neg.f64 t))

eval469.0ms (2.7%)

Compiler

Compiled 30937 to 12348 computations (60.1% saved)

prune248.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New9035908
Fresh000
Picked101
Done101
Total9055910
Error
0.0b
Counts
910 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
20.5b
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
22.1b
(*.f64 x (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
18.8b
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
27.1b
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
25.4b
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
Compiler

Compiled 144 to 108 computations (25% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
0.0b
(-.f64 (log.f64 z) t)
0.0b
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
0.1b
(*.f64 (-.f64 (log.f64 z) t) y)
Compiler

Compiled 38 to 11 computations (71.1% saved)

series22.0ms (0.1%)

Counts
3 → 84
Calls

30 calls:

TimeVariablePointExpression
10.0ms
x
@0
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
1.0ms
z
@inf
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
1.0ms
y
@0
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
1.0ms
t
@0
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
0.0ms
t
@0
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1052×unswap-sqr
770×swap-sqr
720×distribute-rgt-in
680×distribute-lft-in
666×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01265
124057
2304357
Stop Event
node limit
Counts
3 → 126
Calls
Call 1
Inputs
(*.f64 (-.f64 (log.f64 z) t) y)
(exp.f64 (*.f64 (-.f64 (log.f64 z) t) y))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
Outputs
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simplify95.0ms (0.5%)

Algorithm
egg-herbie
Rules
1412×associate-/l*
1030×associate-+r+
944×associate-+l+
744×associate-/r*
620×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04097616
110486878
241996870
Stop Event
node limit
Counts
210 → 239
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (log.f64 z))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(*.f64 -1 (*.f64 y t))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(*.f64 -1 (*.f64 y t))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(+.f64 (*.f64 y (log.f64 z)) (*.f64 -1 (*.f64 y t)))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y))
(pow.f64 z y)
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(+.f64 (pow.f64 z y) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 3) (pow.f64 t 3)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 2) (pow.f64 t 2)))) (*.f64 -1 (*.f64 (pow.f64 z y) (*.f64 y t))))))
(exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))
(exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))
(exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))
(exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z))))
1
(+.f64 1 (*.f64 (-.f64 (log.f64 z) t) y))
(+.f64 1 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (log.f64 z) t) 2)))))
(+.f64 1 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (log.f64 z) t) 3))) (*.f64 1/2 (*.f64 (pow.f64 y 2) (pow.f64 (-.f64 (log.f64 z) t) 2))))))
(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))
(exp.f64 (*.f64 y (-.f64 (log.f64 z) t)))
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(*.f64 (pow.f64 z y) x)
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(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
x
(+.f64 (*.f64 (-.f64 (log.f64 z) t) (*.f64 y x)) x)
(+.f64 (*.f64 (-.f64 (log.f64 z) t) (*.f64 y x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (-.f64 (log.f64 z) t) 2) x))) x))
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(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(+.f64 (*.f64 (-.f64 (log.f64 z) t) y) 0)
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(+.f64 (*.f64 (neg.f64 t) y) (*.f64 (log.f64 z) y))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))) (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(+.f64 (+.f64 0 (*.f64 y (log.f64 z))) (*.f64 y (neg.f64 t)))
(+.f64 (+.f64 0 (*.f64 (log.f64 z) y)) (*.f64 (neg.f64 t) y))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(+.f64 (*.f64 1 (*.f64 y (log.f64 z))) (*.f64 1 (*.f64 y (neg.f64 t))))
(+.f64 (*.f64 1 (*.f64 (log.f64 z) y)) (*.f64 1 (*.f64 (neg.f64 t) y)))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) 1))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) 1))
(+.f64 (*.f64 (*.f64 y (log.f64 z)) 1) (*.f64 (*.f64 y (neg.f64 t)) 1))
(+.f64 (*.f64 (*.f64 (log.f64 z) y) 1) (*.f64 (*.f64 (neg.f64 t) y) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log.f64 z) t) y))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log.f64 z) t) y)))) 1)
(/.f64 y (/.f64 1 (-.f64 (log.f64 z) t)))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) (/.f64 (+.f64 (log.f64 z) t) y))
(/.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) (/.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))) y))
(/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3))) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) (log.f64 z)))))
(/.f64 (*.f64 y (+.f64 (neg.f64 (pow.f64 (log.f64 z) 2)) (*.f64 t t))) (neg.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 y (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 1 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 1 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 1 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y)) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 1 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y)) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (*.f64 y (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (*.f64 y (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log.f64 z) 3) (pow.f64 (neg.f64 t) 3)) y) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 (neg.f64 t) (-.f64 (neg.f64 t) (log.f64 z)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (log.f64 z) 2)) (*.f64 t t)) y) (neg.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) y) (neg.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) 1) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) 1) (+.f64 (log.f64 z) t))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) y)) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (*.f64 (sqrt.f64 (-.f64 (log.f64 z) t)) y)) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) 1) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t))) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 y (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) 1) (+.f64 (log.f64 z) t))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (sqrt.f64 (+.f64 (log.f64 z) t))) (sqrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 2) (*.f64 t t)) y) (*.f64 (cbrt.f64 (+.f64 (log.f64 z) t)) (cbrt.f64 (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (log.f64 z) t)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) 1) (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t))))) (sqrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 z) 3) (pow.f64 t 3)) y) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))) (cbrt.f64 (+.f64 (pow.f64 (log.f64 z) 2) (*.f64 t (+.f64 (log.f64 z) t)))))
(pow.f64 (*.f64 (-.f64 (log.f64 z) t) y) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (log.f64 z) t) y) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (log.f64 z) t) y) 2))
(log.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (log.f64 z) t) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (log.f64 z) t) y) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log.f64 z) t) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (-.f64 (log.f64 z) t) 3)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (log.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (log.f64 z) t) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) 1)
(*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 1)
(*.f64 1 (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 1)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 3)
(pow.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) 1/3)
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (log.f64 z) t) y))) (sqrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)) 2)) (cbrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(pow.f64 (exp.f64 1) (*.f64 (-.f64 (log.f64 z) t) y))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 2))
(log.f64 (exp.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (/.f64 z (exp.f64 t)) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)))
(exp.f64 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)))
Outputs
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(*.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)))
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(*.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)))
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(*.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)))
(*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)
(*.f64 y (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(*.f64 y (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(*.f64 y (-.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 z)) t)))
(*.f64 y (log.f64 z))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
(*.f64 y (-.f64 (log.f64 z) t))
(+.f64 (*.f64 -1 (*.f64 y t)) (*.f64 y (log.f64 z)))
(*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y)
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 1)
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 2)
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)) 3)
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) 1/3)
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(exp.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (log.f64 z) t) y))) (sqrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)) 2)) (cbrt.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (exp.f64 1) (*.f64 (-.f64 (log.f64 z) t) y))
(exp.f64 (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t) y))
(pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 2))
(fabs.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))
(log.f64 (exp.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 z (exp.f64 t)) y))))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 z (exp.f64 t)) y)))
(pow.f64 (/.f64 z (exp.f64 t)) y)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))) 1)
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 1)
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)) 2)
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)) 3)
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 3) 1/3)
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 2))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))
(fabs.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (/.f64 z (exp.f64 t)) y)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x))))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x) 3))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) (pow.f64 x 3)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(exp.f64 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(exp.f64 (*.f64 (+.f64 (*.f64 (-.f64 (log.f64 z) t) y) (log.f64 x)) 1))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (log.f64 z) t)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) x)))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
Compiler

Compiled 27 to 10 computations (63% saved)

series5.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
1.0ms
a
@0
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
0.0ms
b
@0
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
0.0ms
b
@inf
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
0.0ms
x
@inf
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))

rewrite53.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1688×add-sqr-sqrt
1676×*-un-lft-identity
1546×add-cube-cbrt
1520×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
119817
2244317
Stop Event
node limit
Counts
1 → 13
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 b a) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 b a) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))))))

simplify47.0ms (0.3%)

Algorithm
egg-herbie
Rules
1468×distribute-lft-in
1458×distribute-rgt-in
1156×associate-*r*
1018×associate-*l*
298×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0641129
11681117
25771109
33135969
Stop Event
node limit
Counts
49 → 38
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))) 1)
(pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 a) b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))
(exp.f64 (+.f64 (*.f64 b a) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (*.f64 b a) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))
Outputs
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(fma.f64 -1 (*.f64 a (*.f64 b x)) x)
(-.f64 x (*.f64 a (*.f64 b x)))
(fma.f64 a (*.f64 b (neg.f64 x)) x)
(fma.f64 (*.f64 b (neg.f64 a)) x x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) (fma.f64 -1 (*.f64 a (*.f64 b x)) x))
(fma.f64 1/2 (*.f64 x (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 x (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 a b))))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) (fma.f64 -1 (*.f64 a (*.f64 b x)) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 x (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 x (*.f64 a (*.f64 b x)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (*.f64 x (-.f64 (*.f64 1/2 (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 a b)))))
(+.f64 x (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(fma.f64 -1 (*.f64 a (*.f64 b x)) x)
(-.f64 x (*.f64 a (*.f64 b x)))
(fma.f64 a (*.f64 b (neg.f64 x)) x)
(fma.f64 (*.f64 b (neg.f64 a)) x x)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) (fma.f64 -1 (*.f64 a (*.f64 b x)) x))
(fma.f64 1/2 (*.f64 x (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 x (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 x (-.f64 (*.f64 1/2 (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 a b))))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) (fma.f64 -1 (*.f64 a (*.f64 b x)) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 x (*.f64 (*.f64 a b) (*.f64 a b))) (-.f64 x (*.f64 a (*.f64 b x)))))
(+.f64 x (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (*.f64 x (-.f64 (*.f64 1/2 (*.f64 a (*.f64 a (*.f64 b b)))) (*.f64 a b)))))
(+.f64 x (*.f64 x (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(*.f64 x (exp.f64 (*.f64 -1 (*.f64 a b))))
(*.f64 (exp.f64 (neg.f64 (*.f64 a b))) x)
(*.f64 (pow.f64 (exp.f64 (neg.f64 a)) b) x)
(*.f64 (pow.f64 (exp.f64 a) (neg.f64 b)) x)
(/.f64 x (pow.f64 (exp.f64 b) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))) 1)
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 1)
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 2)
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (exp.f64 a) b))) 3)
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3) 1/3)
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 2))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (exp.f64 a) b)))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b)))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (exp.f64 a) b)) 3))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(exp.f64 (+.f64 (*.f64 b a) (log.f64 x)))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(exp.f64 (*.f64 (+.f64 (*.f64 b a) (log.f64 x)) 1))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (exp.f64 a) b))))
(*.f64 x (pow.f64 (exp.f64 a) b))
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (pow.f64 (exp.f64 b) a))

localize9.0ms (0.1%)

Compiler

Compiled 27 to 10 computations (63% saved)

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
Compiler

Compiled 45 to 12 computations (73.3% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
0.0ms
z
@0
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
0.0ms
z
@-inf
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
0.0ms
b
@-inf
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
0.0ms
a
@-inf
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)

rewrite57.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
2020×add-sqr-sqrt
2004×*-un-lft-identity
1864×add-cube-cbrt
1840×add-cbrt-cube
214×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
120917
2272817
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (log1p.f64 z)) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 z) a) (*.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b))) (+.f64 (log1p.f64 z) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3))) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)) a) (+.f64 (log1p.f64 z) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)) a) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (-.f64 (log1p.f64 z) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))))))

simplify57.0ms (0.3%)

Algorithm
egg-herbie
Rules
1164×associate-+r+
1028×associate-+l+
960×associate-*r*
856×associate-*l*
666×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01161713
13081483
28981453
342711441
Stop Event
node limit
Counts
55 → 84
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b))))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 -1/3 (*.f64 a (pow.f64 z 3))) (*.f64 -1 (*.f64 a b)))))
(*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))
(+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (*.f64 -1 (/.f64 a z)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (*.f64 -1 (/.f64 a z))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b))
(+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(*.f64 (log.f64 (-.f64 1 z)) a)
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(+.f64 (*.f64 a (log1p.f64 z)) (*.f64 a (neg.f64 b)))
(+.f64 (*.f64 (log1p.f64 z) a) (*.f64 (neg.f64 b) a))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))) 1)
(/.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b))) (+.f64 (log1p.f64 z) b))
(/.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3))) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)) a) (+.f64 (log1p.f64 z) b))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)) a) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))
(pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 1)
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 2)
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 3)
(pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 2))
(log.f64 (pow.f64 (exp.f64 a) (-.f64 (log1p.f64 z) b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 1))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
Outputs
(*.f64 -1 (*.f64 a b))
(*.f64 a (neg.f64 b))
(+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b)))
(fma.f64 -1 (*.f64 a z) (*.f64 a (neg.f64 b)))
(*.f64 (neg.f64 a) (+.f64 b z))
(*.f64 a (-.f64 (neg.f64 b) z))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (*.f64 -1 (*.f64 a b))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (fma.f64 -1 (*.f64 a z) (*.f64 a (neg.f64 b))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (*.f64 (neg.f64 a) (+.f64 b z)))
(-.f64 (*.f64 a (*.f64 z (*.f64 z -1/2))) (*.f64 a (+.f64 b z)))
(*.f64 a (-.f64 (*.f64 z (*.f64 z -1/2)) (+.f64 b z)))
(+.f64 (*.f64 -1/2 (*.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (*.f64 a z)) (+.f64 (*.f64 -1/3 (*.f64 a (pow.f64 z 3))) (*.f64 -1 (*.f64 a b)))))
(fma.f64 -1/2 (*.f64 a (*.f64 z z)) (fma.f64 -1 (*.f64 a z) (fma.f64 -1/3 (*.f64 a (pow.f64 z 3)) (*.f64 a (neg.f64 b)))))
(+.f64 (fma.f64 -1/2 (*.f64 a (*.f64 z z)) (*.f64 (neg.f64 a) (+.f64 b z))) (*.f64 (*.f64 -1/3 (pow.f64 z 3)) a))
(+.f64 (*.f64 a (-.f64 (*.f64 -1/3 (pow.f64 z 3)) b)) (*.f64 a (-.f64 (*.f64 z (*.f64 z -1/2)) z)))
(-.f64 (*.f64 (*.f64 a (*.f64 z z)) (+.f64 -1/2 (*.f64 z -1/3))) (*.f64 a (+.f64 b z)))
(*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b))
(*.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b))
(*.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)))
(+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (*.f64 -1 (/.f64 a z)))
(fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (neg.f64 (/.f64 a z)))
(fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (neg.f64 (/.f64 a z)))
(fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (/.f64 (neg.f64 a) z))
(*.f64 a (+.f64 (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (/.f64 -1 z)))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (*.f64 -1 (/.f64 a z))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (neg.f64 (/.f64 a z))))
(-.f64 (fma.f64 -1/2 (/.f64 a (*.f64 z z)) (*.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)))) (/.f64 a z))
(fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (*.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 a (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)) b)) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (-.f64 (fma.f64 -1 (neg.f64 (log.f64 z)) (log.f64 -1)) b) (fma.f64 -1 (/.f64 a z) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (-.f64 (*.f64 -1/3 (/.f64 a (pow.f64 z 3))) (/.f64 a z))))
(fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (-.f64 (*.f64 (/.f64 a (*.f64 z z)) (+.f64 (/.f64 -1/3 z) -1/2)) (/.f64 a z)))
(fma.f64 a (+.f64 (log.f64 z) (-.f64 (log.f64 -1) b)) (*.f64 (/.f64 a z) (+.f64 (/.f64 (/.f64 -1/3 z) z) (+.f64 -1 (/.f64 -1/2 z)))))
(*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b))
(*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))
(*.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z))))
(+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)))
(fma.f64 -1 (/.f64 a z) (*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)))
(-.f64 (*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) (/.f64 a z))
(*.f64 a (+.f64 (/.f64 -1 z) (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z)))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 -1 (/.f64 a z) (*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (-.f64 (*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) (/.f64 a z)))
(fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(fma.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z))) (*.f64 (/.f64 a z) (+.f64 -1 (/.f64 -1/2 z))))
(+.f64 (*.f64 -1/2 (/.f64 a (pow.f64 z 2))) (+.f64 (*.f64 -1 (/.f64 a z)) (+.f64 (*.f64 a (-.f64 (*.f64 -1 (log.f64 (/.f64 -1 z))) b)) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (fma.f64 -1 (/.f64 a z) (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 -1/3 (/.f64 a (pow.f64 z 3))))))
(fma.f64 -1/2 (/.f64 a (*.f64 z z)) (-.f64 (fma.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b) (*.f64 -1/3 (/.f64 a (pow.f64 z 3)))) (/.f64 a z)))
(+.f64 (*.f64 a (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) b)) (-.f64 (*.f64 (/.f64 a (*.f64 z z)) (+.f64 (/.f64 -1/3 z) -1/2)) (/.f64 a z)))
(+.f64 (*.f64 a (-.f64 (neg.f64 b) (log.f64 (/.f64 -1 z)))) (*.f64 (/.f64 a z) (+.f64 (/.f64 (/.f64 -1/3 z) z) (+.f64 -1 (/.f64 -1/2 z)))))
(*.f64 (log.f64 (-.f64 1 z)) a)
(*.f64 a (log.f64 (-.f64 1 z)))
(*.f64 a (log1p.f64 (neg.f64 z)))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 -1 (*.f64 a b))
(*.f64 a (neg.f64 b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 (log.f64 (-.f64 1 z)) a) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 -1 (*.f64 a b))
(*.f64 a (neg.f64 b))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 a (log.f64 (-.f64 1 z))) (*.f64 -1 (*.f64 a b)))
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(*.f64 (-.f64 (log.f64 (-.f64 1 z)) b) a)
(fma.f64 a (log.f64 (-.f64 1 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
(+.f64 (*.f64 a (log1p.f64 z)) (*.f64 a (neg.f64 b)))
(*.f64 a (-.f64 (log1p.f64 z) b))
(+.f64 (*.f64 (log1p.f64 z) a) (*.f64 (neg.f64 b) a))
(*.f64 a (-.f64 (log1p.f64 z) b))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))) 1)
(*.f64 a (-.f64 (log1p.f64 z) b))
(/.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b))) (+.f64 (log1p.f64 z) b))
(/.f64 a (/.f64 (+.f64 b (log1p.f64 z)) (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b))))
(*.f64 (/.f64 a (+.f64 b (log1p.f64 z))) (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)))
(*.f64 a (/.f64 (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)) (+.f64 b (log1p.f64 z))))
(/.f64 (*.f64 a (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3))) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))
(/.f64 a (/.f64 (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 b (log1p.f64 z)))) (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3))))
(*.f64 (/.f64 a (fma.f64 b (+.f64 b (log1p.f64 z)) (pow.f64 (log1p.f64 z) 2))) (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)) (/.f64 a (fma.f64 b (+.f64 b (log1p.f64 z)) (pow.f64 (log1p.f64 z) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)) a) (+.f64 (log1p.f64 z) b))
(/.f64 a (/.f64 (+.f64 b (log1p.f64 z)) (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b))))
(*.f64 (/.f64 a (+.f64 b (log1p.f64 z))) (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)))
(*.f64 a (/.f64 (-.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b b)) (+.f64 b (log1p.f64 z))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)) a) (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 (log1p.f64 z) b))))
(/.f64 a (/.f64 (+.f64 (pow.f64 (log1p.f64 z) 2) (*.f64 b (+.f64 b (log1p.f64 z)))) (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3))))
(*.f64 (/.f64 a (fma.f64 b (+.f64 b (log1p.f64 z)) (pow.f64 (log1p.f64 z) 2))) (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)))
(*.f64 (-.f64 (pow.f64 (log1p.f64 z) 3) (pow.f64 b 3)) (/.f64 a (fma.f64 b (+.f64 b (log1p.f64 z)) (pow.f64 (log1p.f64 z) 2))))
(pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 1)
(*.f64 a (-.f64 (log1p.f64 z) b))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 2)
(*.f64 a (-.f64 (log1p.f64 z) b))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 3)
(*.f64 a (-.f64 (log1p.f64 z) b))
(pow.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3) 1/3)
(*.f64 a (-.f64 (log1p.f64 z) b))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 2))
(*.f64 a (-.f64 (log1p.f64 z) b))
(log.f64 (pow.f64 (exp.f64 a) (-.f64 (log1p.f64 z) b)))
(*.f64 a (-.f64 (log1p.f64 z) b))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a))))
(*.f64 a (-.f64 (log1p.f64 z) b))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (log1p.f64 z) b) a) 3))
(*.f64 a (-.f64 (log1p.f64 z) b))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
(*.f64 a (-.f64 (log1p.f64 z) b))
(exp.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
(*.f64 a (-.f64 (log1p.f64 z) b))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)) 1))
(*.f64 a (-.f64 (log1p.f64 z) b))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 z) b) a)))
(*.f64 a (-.f64 (log1p.f64 z) b))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
0.0b
(-.f64 (log.f64 z) t)
2.9b
(exp.f64 (-.f64 (log.f64 z) t))
Compiler

Compiled 37 to 11 computations (70.3% saved)

series127.0ms (0.7%)

Counts
2 → 64
Calls

18 calls:

TimeVariablePointExpression
51.0ms
t
@inf
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
19.0ms
z
@-inf
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
17.0ms
x
@0
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
14.0ms
t
@-inf
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
14.0ms
z
@inf
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))

rewrite70.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1106×unswap-sqr
756×swap-sqr
616×associate-*r/
614×distribute-rgt-in
578×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
124534
2315034
Stop Event
node limit
Counts
2 → 68
Calls
Call 1
Inputs
(exp.f64 (-.f64 (log.f64 z) t))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
Outputs
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simplify70.0ms (0.4%)

Algorithm
egg-herbie
Rules
1056×*-commutative
1026×unswap-sqr
990×fma-def
698×associate-/l*
612×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02503964
16283116
221333022
Stop Event
node limit
Counts
132 → 138
Calls
Call 1
Inputs
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(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
z
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(exp.f64 (+.f64 (*.f64 -1 t) (log.f64 z)))
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x
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(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 (exp.f64 t) (sqrt.f64 z)) (sqrt.f64 (cbrt.f64 z))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (/.f64 (exp.f64 t) (cbrt.f64 z)) (sqrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (sqrt.f64 (sqrt.f64 z)) (/.f64 (/.f64 (exp.f64 t) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 z))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))) (/.f64 (/.f64 (exp.f64 t) (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) 2))))
(/.f64 (neg.f64 z) (neg.f64 (exp.f64 t)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 z (exp.f64 t))) (sqrt.f64 z)) (sqrt.f64 (exp.f64 t)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 z (exp.f64 t))) 2) (cbrt.f64 z)) (cbrt.f64 (exp.f64 t)))
(/.f64 (*.f64 (sqrt.f64 z) 1) (/.f64 (exp.f64 t) (sqrt.f64 z)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 z) 2) 1) (/.f64 (exp.f64 t) (cbrt.f64 z)))
(/.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (/.f64 z (exp.f64 t)))) (sqrt.f64 (exp.f64 t)))
(/.f64 (*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 (/.f64 z (exp.f64 t))) 2)) (cbrt.f64 (exp.f64 t)))
(/.f64 (/.f64 z 1) (exp.f64 t))
(/.f64 (/.f64 z (sqrt.f64 (exp.f64 t))) (sqrt.f64 (exp.f64 t)))
(/.f64 (/.f64 z (*.f64 (cbrt.f64 (exp.f64 t)) (cbrt.f64 (exp.f64 t)))) (cbrt.f64 (exp.f64 t)))
(pow.f64 (/.f64 z (exp.f64 t)) 1)
(pow.f64 (sqrt.f64 (/.f64 z (exp.f64 t))) 2)
(pow.f64 (cbrt.f64 (/.f64 z (exp.f64 t))) 3)
(pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 z) t))) (sqrt.f64 (-.f64 (log.f64 z) t)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 z) t)) 2)) (cbrt.f64 (-.f64 (log.f64 z) t)))
(pow.f64 (exp.f64 1) (-.f64 (log.f64 z) t))
(neg.f64 (/.f64 z (neg.f64 (exp.f64 t))))
(sqrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) 2))
(log.f64 (exp.f64 (/.f64 z (exp.f64 t))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 z (exp.f64 t)))))
(cbrt.f64 (pow.f64 (/.f64 z (exp.f64 t)) 3))
(expm1.f64 (log1p.f64 (/.f64 z (exp.f64 t))))
(log1p.f64 (expm1.f64 (/.f64 z (exp.f64 t))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))) 1)
(pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))) 3)
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 (/.f64 z (exp.f64 t)) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 (log.f64 z) t) y)))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 (log.f64 z) t) y)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
Outputs
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t)))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t)))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t)))
(exp.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t))
(exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t)))
(exp.f64 (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t))
(/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t)))
z
(+.f64 (*.f64 -1 (*.f64 t z)) z)
(fma.f64 -1 (*.f64 z t) z)
(-.f64 z (*.f64 z t))
(+.f64 (*.f64 -1 (*.f64 t z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 t 2) z)) z))
(fma.f64 -1 (*.f64 z t) (fma.f64 1/2 (*.f64 z (*.f64 t t)) z))
(-.f64 (fma.f64 (*.f64 (*.f64 1/2 t) t) z z) (*.f64 z t))
(*.f64 z (-.f64 (fma.f64 1/2 (*.f64 t t) 1) t))
(+.f64 (*.f64 -1 (*.f64 t z)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 t 2) z)) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 t 3) z)) z)))
(fma.f64 -1 (*.f64 z t) (fma.f64 1/2 (*.f64 z (*.f64 t t)) (fma.f64 -1/6 (*.f64 z (pow.f64 t 3)) z)))
(-.f64 (fma.f64 1/2 (*.f64 z (*.f64 t t)) (fma.f64 -1/6 (*.f64 z (pow.f64 t 3)) z)) (*.f64 z t))
(fma.f64 z (*.f64 (*.f64 t t) (+.f64 1/2 (*.f64 t -1/6))) (-.f64 z (*.f64 z t)))
(exp.f64 (+.f64 (*.f64 -1 t) (log.f64 z)))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (+.f64 (*.f64 -1 t) (log.f64 z)))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (+.f64 (*.f64 -1 t) (log.f64 z)))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(exp.f64 (+.f64 (*.f64 -1 t) (log.f64 z)))
(exp.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 z))) t))
(/.f64 z (exp.f64 t))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 y (-.f64 (log.f64 z) t))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 (/.f64 1 z))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))) y))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(*.f64 x (pow.f64 (/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t))) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))) y))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(*.f64 x (pow.f64 (/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t))) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))) y))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(*.f64 x (pow.f64 (/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t))) y))
(*.f64 (exp.f64 (*.f64 (-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))) t) y)) x)
(*.f64 x (pow.f64 (exp.f64 (+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 -1 z))) t))) y))
(*.f64 x (pow.f64 (exp.f64 y) (-.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 z))) t)))
(*.f64 x (pow.f64 (/.f64 (pow.f64 (/.f64 -1 z) -1) (neg.f64 (exp.f64 t))) y))
(*.f64 (pow.f64 z y) x)
(*.f64 x (pow.f64 z y))
(+.f64 (*.f64 (pow.f64 z y) x) (*.f64 -1 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x)))))
(fma.f64 (pow.f64 z y) x (neg.f64 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x)))))
(-.f64 (*.f64 x (pow.f64 z y)) (*.f64 y (*.f64 (*.f64 t x) (pow.f64 z y))))
(*.f64 (pow.f64 z y) (-.f64 x (*.f64 t (*.f64 y x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 t 2) x)))) (+.f64 (*.f64 (pow.f64 z y) x) (*.f64 -1 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x))))))
(fma.f64 1/2 (*.f64 (pow.f64 z y) (*.f64 (*.f64 y y) (*.f64 (*.f64 t t) x))) (fma.f64 (pow.f64 z y) x (neg.f64 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x))))))
(fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 t (*.f64 t x)) (pow.f64 z y))) (-.f64 (*.f64 x (pow.f64 z y)) (*.f64 y (*.f64 (*.f64 t x) (pow.f64 z y)))))
(fma.f64 1/2 (*.f64 (*.f64 t t) (*.f64 x (*.f64 y (*.f64 y (pow.f64 z y))))) (*.f64 (pow.f64 z y) (-.f64 x (*.f64 t (*.f64 y x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 t 2) x)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 t 3) x)))) (+.f64 (*.f64 (pow.f64 z y) x) (*.f64 -1 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x)))))))
(fma.f64 1/2 (*.f64 (pow.f64 z y) (*.f64 (*.f64 y y) (*.f64 (*.f64 t t) x))) (fma.f64 -1/6 (*.f64 (pow.f64 z y) (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 t 3) x))) (fma.f64 (pow.f64 z y) x (neg.f64 (*.f64 (pow.f64 z y) (*.f64 y (*.f64 t x)))))))
(fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 (*.f64 t (*.f64 t x)) (pow.f64 z y))) (fma.f64 -1/6 (*.f64 (*.f64 (pow.f64 t 3) x) (*.f64 (pow.f64 z y) (pow.f64 y 3))) (-.f64 (*.f64 x (pow.f64 z y)) (*.f64 y (*.f64 (*.f64 t x) (pow.f64 z y))))))
(+.f64 (*.f64 (pow.f64 z y) (-.f64 x (*.f64 t (*.f64 y x)))) (*.f64 (pow.f64 z y) (+.f64 (*.f64 1/2 (*.f64 (*.f64 t t) (*.f64 x (*.f64 y y)))) (*.f64 -1/6 (*.f64 (pow.f64 t 3) (*.f64 x (pow.f64 y 3)))))))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (*.f64 -1 t) (log.f64 z)))) x)
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
x
(+.f64 (*.f64 (-.f64 (log.f64 z) t) (*.f64 y x)) x)
(fma.f64 (-.f64 (log.f64 z) t) (*.f64 y x) x)
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(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) 3) (pow.f64 x 3)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(exp.f64 (*.f64 (+.f64 (log.f64 x) (*.f64 (-.f64 (log.f64 z) t) y)) 1))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (pow.f64 (/.f64 z (exp.f64 t)) y))

eval207.0ms (1.2%)

Compiler

Compiled 16353 to 6756 computations (58.7% saved)

prune370.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New8156821
Fresh000
Picked101
Done224
Total8188826
Error
0.0b
Counts
826 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
51.4b
(-.f64 x (*.f64 a (*.f64 b x)))
50.2b
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
30.1b
(*.f64 (pow.f64 z y) x)
22.1b
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
27.1b
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
25.4b
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
46.1b
(*.f64 x (exp.f64 (*.f64 a b)))
49.5b
x
Compiler

Compiled 177 to 128 computations (27.7% saved)

localize13.0ms (0.1%)

Compiler

Compiled 37 to 11 computations (70.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 a (*.f64 b x)))
5.3b
(*.f64 a (*.f64 b x))
Compiler

Compiled 24 to 9 computations (62.5% saved)

series7.0ms (0%)

Counts
2 → 36
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 a (*.f64 b x))
1.0ms
b
@0
(*.f64 a (*.f64 b x))
1.0ms
b
@inf
(*.f64 a (*.f64 b x))
1.0ms
x
@0
(*.f64 a (*.f64 b x))
0.0ms
x
@inf
(*.f64 a (*.f64 b x))

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1956×add-sqr-sqrt
1940×*-un-lft-identity
1808×add-cube-cbrt
1784×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117432
2240632
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 a (*.f64 b x))
(-.f64 x (*.f64 a (*.f64 b x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) b) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (*.f64 b x)) a (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 a) (*.f64 b x) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 b x)))) (sqrt.f64 (*.f64 a (*.f64 b x))) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 x) (*.f64 a b) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 b x) (neg.f64 a)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2) (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (/.f64 1 (+.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 a (*.f64 b x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (+.f64 x (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a))) (*.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))) (neg.f64 (+.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 b x) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
756×associate-/l*
722×*-commutative
706×unswap-sqr
656×distribute-lft-in
638×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01442138
13782038
218541898
Stop Event
node limit
Counts
90 → 73
Calls
Call 1
Inputs
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b x)))) 1)
(pow.f64 (*.f64 a (*.f64 b x)) 1)
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 3)
(pow.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) b) a))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b x)))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 b x))))
(exp.f64 (log.f64 (*.f64 a (*.f64 b x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b x))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))
(+.f64 x (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (*.f64 b x)) a (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 a) (*.f64 b x) (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1 (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 b x)))) (sqrt.f64 (*.f64 a (*.f64 b x))) (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 x) (*.f64 a b) (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 (*.f64 b x) (neg.f64 a)) x)
(*.f64 x (-.f64 1 (*.f64 a b)))
(*.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(*.f64 1 (-.f64 x (*.f64 a (*.f64 b x))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2) (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (/.f64 1 (+.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 a (*.f64 b x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (+.f64 x (*.f64 a (*.f64 b x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a))) (*.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))) (neg.f64 (+.f64 x (*.f64 a (*.f64 b x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(fma.f64 1 x (*.f64 (*.f64 b x) (neg.f64 a)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))
Outputs
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
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(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
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(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
x
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
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(-.f64 x (*.f64 b (*.f64 a x)))
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(-.f64 x (*.f64 b (*.f64 a x)))
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(-.f64 x (*.f64 b (*.f64 a x)))
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(-.f64 x (*.f64 b (*.f64 a x)))
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
x
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
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(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
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(-.f64 x (*.f64 b (*.f64 a x)))
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(*.f64 (-.f64 1 (*.f64 a b)) x)
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(*.f64 (-.f64 1 (*.f64 a b)) x)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b x)))) 1)
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(pow.f64 (*.f64 a (*.f64 b x)) 1)
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
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(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)
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(pow.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3) 1/3)
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
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(log.f64 (pow.f64 (pow.f64 (exp.f64 x) b) a))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b x)))))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a b) x)
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(*.f64 a (*.f64 b x))
(exp.f64 (log.f64 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b x))) 1))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a b) x)
(*.f64 b (*.f64 a x))
(*.f64 a (*.f64 b x))
(+.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 x (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
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(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 a) (*.f64 b x) (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 1 (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 b x)))) (sqrt.f64 (*.f64 a (*.f64 b x))) (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 x) (*.f64 a b) (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(+.f64 (*.f64 (*.f64 b x) (neg.f64 a)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 x (-.f64 1 (*.f64 a b)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 1 (-.f64 x (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2) (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (/.f64 1 (+.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 a b) x) 2)) (/.f64 1 (+.f64 x (*.f64 (*.f64 a b) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 b (*.f64 a x)) 2)) (fma.f64 a (*.f64 b x) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 a b) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 a (*.f64 (*.f64 b x) (+.f64 x (*.f64 (*.f64 a b) x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 b (*.f64 a x)) 3)) (fma.f64 x x (*.f64 (*.f64 a b) (*.f64 x (fma.f64 a (*.f64 b x) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 a b) (fma.f64 (*.f64 a b) x x)))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(/.f64 1 (/.f64 (+.f64 x (*.f64 a (*.f64 b x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 a b) x) 2)) (/.f64 1 (+.f64 x (*.f64 (*.f64 a b) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 b (*.f64 a x)) 2)) (fma.f64 a (*.f64 b x) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 a b) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 a (*.f64 (*.f64 b x) (+.f64 x (*.f64 (*.f64 a b) x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 b (*.f64 a x)) 3)) (fma.f64 x x (*.f64 (*.f64 a b) (*.f64 x (fma.f64 a (*.f64 b x) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 a b) (fma.f64 (*.f64 a b) x x)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (+.f64 x (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 a b) x) 2)) (/.f64 1 (+.f64 x (*.f64 (*.f64 a b) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 b (*.f64 a x)) 2)) (fma.f64 a (*.f64 b x) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 a b) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 a (*.f64 (*.f64 b x) (+.f64 x (*.f64 (*.f64 a b) x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 b (*.f64 a x)) 3)) (fma.f64 x x (*.f64 (*.f64 a b) (*.f64 x (fma.f64 a (*.f64 b x) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 a b) (fma.f64 (*.f64 a b) x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 a b) x) 2)) (/.f64 1 (+.f64 x (*.f64 (*.f64 a b) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 b (*.f64 a x)) 2)) (fma.f64 a (*.f64 b x) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 b x) (neg.f64 a)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a))) (*.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 a b) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 a (*.f64 (*.f64 b x) (+.f64 x (*.f64 (*.f64 a b) x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 b (*.f64 a x)) 3)) (fma.f64 x x (*.f64 (*.f64 a b) (*.f64 x (fma.f64 a (*.f64 b x) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 a b) (fma.f64 (*.f64 a b) x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))) (neg.f64 (+.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 a b) x) 2)) (/.f64 1 (+.f64 x (*.f64 (*.f64 a b) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 b (*.f64 a x)) 2)) (fma.f64 a (*.f64 b x) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (*.f64 a b) x) 3)) (/.f64 1 (fma.f64 x x (*.f64 a (*.f64 (*.f64 b x) (+.f64 x (*.f64 (*.f64 a b) x)))))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 b (*.f64 a x)) 3)) (fma.f64 x x (*.f64 (*.f64 a b) (*.f64 x (fma.f64 a (*.f64 b x) x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (*.f64 x (+.f64 x (*.f64 (*.f64 a b) (fma.f64 (*.f64 a b) x x)))))
(pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 3)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(pow.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3) 1/3)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 2))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(log.f64 (exp.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x))))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(exp.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 1))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(fma.f64 1 x (*.f64 (*.f64 b x) (neg.f64 a)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 b x) (neg.f64 a)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(-.f64 x (*.f64 b (*.f64 a x)))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))
4.5b
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))
Compiler

Compiled 65 to 33 computations (49.2% saved)

series12.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))
1.0ms
x
@0
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))
1.0ms
b
@inf
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))
1.0ms
b
@-inf
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))
1.0ms
a
@-inf
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))

rewrite84.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1010×associate-*r/
866×distribute-rgt-in
822×distribute-lft-in
740×associate-*l/
262×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01268
125960
2334560
Stop Event
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))
(*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))
Outputs
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simplify125.0ms (0.7%)

Algorithm
egg-herbie
Rules
1440×associate-/l*
1004×associate-*l*
978×associate-*r*
632×distribute-lft-neg-in
592×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043812027
1124010527
2595010477
Stop Event
node limit
Counts
231 → 239
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(*.f64 -1 (*.f64 a b))
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(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(+.f64 (*.f64 x (*.f64 a (neg.f64 b))) (*.f64 x (*.f64 1/2 (pow.f64 (*.f64 a b) 2))))
(+.f64 (*.f64 x (*.f64 a (neg.f64 b))) (*.f64 x (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) 1)))
(+.f64 (*.f64 x (*.f64 1/2 (pow.f64 (*.f64 a b) 2))) (*.f64 x (*.f64 a (neg.f64 b))))
(+.f64 (*.f64 (*.f64 (*.f64 x b) a) -1) (*.f64 (*.f64 (*.f64 x b) a) (*.f64 a (*.f64 b 1/2))))
(+.f64 (*.f64 (*.f64 (*.f64 x b) a) (*.f64 a (*.f64 b 1/2))) (*.f64 (*.f64 (*.f64 x b) a) -1))
(+.f64 (*.f64 (*.f64 a (neg.f64 b)) x) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) x))
(+.f64 (*.f64 (*.f64 a (neg.f64 b)) x) (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) 1) x))
(+.f64 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) x) (*.f64 (*.f64 a (neg.f64 b)) x))
(+.f64 (*.f64 -1 (*.f64 (*.f64 x b) a)) (*.f64 (*.f64 a (*.f64 b 1/2)) (*.f64 (*.f64 x b) a)))
(+.f64 (*.f64 (*.f64 a (*.f64 b 1/2)) (*.f64 (*.f64 x b) a)) (*.f64 -1 (*.f64 (*.f64 x b) a)))
(+.f64 (*.f64 1 (*.f64 x (*.f64 a (neg.f64 b)))) (*.f64 1 (*.f64 x (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))))
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(+.f64 (*.f64 1 (*.f64 (*.f64 a (neg.f64 b)) x)) (*.f64 1 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) x)))
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(+.f64 (*.f64 1 (*.f64 (*.f64 a (*.f64 b 1/2)) (*.f64 (*.f64 x b) a))) (*.f64 1 (*.f64 -1 (*.f64 (*.f64 x b) a))))
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(+.f64 (*.f64 (*.f64 x a) (*.f64 b -1)) (*.f64 (*.f64 x a) (*.f64 b (*.f64 a (*.f64 b 1/2)))))
(+.f64 (*.f64 (*.f64 x a) (*.f64 b (*.f64 a (*.f64 b 1/2)))) (*.f64 (*.f64 x a) (*.f64 b -1)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x b) a) 1) -1) (*.f64 (*.f64 (*.f64 (*.f64 x b) a) 1) (*.f64 a (*.f64 b 1/2))))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x b) a) 1) (*.f64 a (*.f64 b 1/2))) (*.f64 (*.f64 (*.f64 (*.f64 x b) a) 1) -1))
(+.f64 (*.f64 (*.f64 x (*.f64 a (neg.f64 b))) 1) (*.f64 (*.f64 x (*.f64 1/2 (pow.f64 (*.f64 a b) 2))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x b) a) -1) 1) (*.f64 (*.f64 (*.f64 (*.f64 x b) a) (*.f64 a (*.f64 b 1/2))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x b) a) (*.f64 a (*.f64 b 1/2))) 1) (*.f64 (*.f64 (*.f64 (*.f64 x b) a) -1) 1))
(+.f64 (*.f64 (*.f64 (*.f64 a (neg.f64 b)) x) 1) (*.f64 (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) x) 1))
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(+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 b 1/2)) (*.f64 (*.f64 x b) a)) 1) (*.f64 (*.f64 -1 (*.f64 (*.f64 x b) a)) 1))
(+.f64 (*.f64 (*.f64 -1 b) (*.f64 x a)) (*.f64 (*.f64 (*.f64 a (*.f64 b 1/2)) b) (*.f64 x a)))
(+.f64 (*.f64 (*.f64 (*.f64 a (*.f64 b 1/2)) b) (*.f64 x a)) (*.f64 (*.f64 -1 b) (*.f64 x a)))
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(+.f64 (*.f64 (*.f64 a (*.f64 b 1/2)) (*.f64 (*.f64 (*.f64 x b) a) 1)) (*.f64 -1 (*.f64 (*.f64 (*.f64 x b) a) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))) 1)
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(/.f64 (*.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) 1) (*.f64 a b)) (-.f64 (*.f64 a (*.f64 b 1/2)) -1))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (*.f64 a b)) (neg.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (*.f64 a b)) (neg.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(/.f64 (*.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(/.f64 (*.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(/.f64 (*.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))) 1) (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a (neg.f64 b)) 3) (pow.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) 3)) 1) (+.f64 (*.f64 (*.f64 a (neg.f64 b)) (*.f64 a (neg.f64 b))) (*.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) (-.f64 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)) (*.f64 a (neg.f64 b))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a b) 1/2 -1)) (*.f64 a b))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a b) 1/2 -1)) (*.f64 a b))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (*.f64 (+.f64 b (*.f64 b (*.f64 (pow.f64 (*.f64 a b) 2) -1/4))) a) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(/.f64 (*.f64 (*.f64 b (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) a) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2))))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2))))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 1)
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 3)
(pow.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) (fma.f64 (*.f64 a b) 1/2 -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (fma.f64 (*.f64 a b) 1/2 -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 a b) 1/2 -1) 3) (pow.f64 (*.f64 a b) 3)))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(exp.f64 (log.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(fma.f64 (*.f64 a b) -1 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))
(fma.f64 -1 (*.f64 a b) (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))
Outputs
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 (-.f64 (*.f64 1/2 (*.f64 a b)) 1) (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(neg.f64 (*.f64 a (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))))
(*.f64 (pow.f64 (*.f64 a b) 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))))
(*.f64 (pow.f64 (*.f64 a b) 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(neg.f64 (*.f64 a (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))))
(*.f64 (pow.f64 (*.f64 a b) 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x)))
(*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))))
(*.f64 (pow.f64 (*.f64 a b) 2) (*.f64 1/2 x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (*.f64 a (*.f64 b x)) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 a (*.f64 x (*.f64 b (fma.f64 1/2 (*.f64 a b) -1))))
(*.f64 -1 (*.f64 a b))
(*.f64 a (neg.f64 b))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2)))
(*.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)))
(*.f64 1/2 (pow.f64 (*.f64 a b) 2))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (*.f64 -1 (*.f64 a b)))
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(/.f64 (*.f64 a b) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1))) (sqrt.f64 (fma.f64 1/8 (pow.f64 (*.f64 a b) 3) -1))) (sqrt.f64 (fma.f64 1/2 (*.f64 a b) -1))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 a b) 1/2 -1)) (*.f64 a b))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(/.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4))) (/.f64 (sqrt.f64 (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 (*.f64 a b) (sqrt.f64 (fma.f64 1/2 (*.f64 a b) -1)))))
(*.f64 (/.f64 (*.f64 a (*.f64 b (sqrt.f64 (fma.f64 1/2 (*.f64 a b) -1)))) (sqrt.f64 (fma.f64 b (*.f64 a -1/2) -1))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4))))
(/.f64 (*.f64 (+.f64 b (*.f64 b (*.f64 (pow.f64 (*.f64 a b) 2) -1/4))) a) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (*.f64 (*.f64 b (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) a) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2))))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)))) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3)))) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) 1) (+.f64 -1 (*.f64 b (*.f64 a -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2))))) (sqrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 (*.f64 a b) 2))) (*.f64 a b)) (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))) (cbrt.f64 (+.f64 -1 (*.f64 b (*.f64 a -1/2)))))
(*.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 a b) 2) -1/4)) (+.f64 -1 (*.f64 (*.f64 a b) -1/2))) (*.f64 a b))
(/.f64 (fma.f64 a b (*.f64 (pow.f64 (*.f64 a b) 3) -1/4)) (fma.f64 b (*.f64 a -1/2) -1))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) 1) (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1)))) (sqrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (*.f64 a b)) (*.f64 (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))) (cbrt.f64 (+.f64 (*.f64 1/4 (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a (*.f64 b 1/2)) 1))))
(*.f64 (/.f64 (+.f64 -1 (*.f64 1/8 (pow.f64 (*.f64 a b) 3))) (fma.f64 1/4 (pow.f64 (*.f64 a b) 2) (fma.f64 a (*.f64 1/2 b) 1))) (*.f64 a b))
(/.f64 (fma.f64 a (neg.f64 b) (*.f64 1/8 (pow.f64 (*.f64 a b) 4))) (fma.f64 (pow.f64 (*.f64 a b) 2) 1/4 (fma.f64 1/2 (*.f64 a b) 1)))
(pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 1)
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 2)
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 3)
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(pow.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 3) 1/3)
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 2))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1)) 2))
(fabs.f64 (*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) a) (fma.f64 (*.f64 a b) 1/2 -1)))
(*.f64 (fma.f64 1/2 (*.f64 a b) -1) (log.f64 (pow.f64 (exp.f64 b) a)))
(*.f64 (fma.f64 1/2 (*.f64 a b) -1) (*.f64 a (log.f64 (exp.f64 b))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1))) 3))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a b) 3) (pow.f64 (fma.f64 (*.f64 a b) 1/2 -1) 3)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 a b) 1/2 -1) 3) (pow.f64 (*.f64 a b) 3)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(exp.f64 (log.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))) 1))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 b (fma.f64 (*.f64 a b) 1/2 -1)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(fma.f64 (*.f64 a b) -1 (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))
(fma.f64 -1 (*.f64 a b) (*.f64 1/2 (pow.f64 (*.f64 a b) 2)))
(fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a (neg.f64 b)))
(*.f64 (*.f64 a b) (fma.f64 1/2 (*.f64 a b) -1))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 8 computations (52.9% saved)

series5.0ms (0%)

Counts
1 → 12
Calls

9 calls:

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

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1374×add-sqr-sqrt
1360×*-un-lft-identity
1258×add-cube-cbrt
1240×add-cbrt-cube
1226×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114213
2174013
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (pow.f64 z y) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 z y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 z y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 z y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (pow.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 z y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 z y) x)))))))

simplify43.0ms (0.3%)

Algorithm
egg-herbie
Rules
1216×distribute-rgt-in
1206×distribute-lft-in
1054×associate-*r*
896×associate-*l*
618×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
069717
1192717
2643411
33120399
Stop Event
node limit
Counts
23 → 31
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
x
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) x)
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (log.f64 z) 2) x))) x))
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (log.f64 z) 2) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (log.f64 z) 3) x))) x)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 z y) x)) 1)
(pow.f64 (*.f64 (pow.f64 z y) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 z y) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z y) x)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z y)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z y) x)))
(exp.f64 (log.f64 (*.f64 (pow.f64 z y) x)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z y) x)))
Outputs
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 -1 (*.f64 y (log.f64 (/.f64 1 z))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(*.f64 (exp.f64 (*.f64 y (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) x)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
x
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) x)
(fma.f64 y (*.f64 x (log.f64 z)) x)
(fma.f64 (log.f64 (pow.f64 z y)) x x)
(*.f64 x (fma.f64 y (log.f64 z) 1))
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (log.f64 z) 2) x))) x))
(fma.f64 y (*.f64 x (log.f64 z)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x (pow.f64 (log.f64 z) 2))) x))
(fma.f64 y (*.f64 x (log.f64 z)) (fma.f64 1/2 (*.f64 x (*.f64 (*.f64 y y) (pow.f64 (log.f64 z) 2))) x))
(*.f64 x (+.f64 (fma.f64 y (log.f64 z) 1) (*.f64 (*.f64 y y) (*.f64 1/2 (pow.f64 (log.f64 z) 2)))))
(+.f64 x (*.f64 x (*.f64 (log.f64 z) (+.f64 (*.f64 1/2 (*.f64 y (*.f64 y (log.f64 z)))) y))))
(+.f64 (*.f64 y (*.f64 (log.f64 z) x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 y 2) (*.f64 (pow.f64 (log.f64 z) 2) x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 (pow.f64 (log.f64 z) 3) x))) x)))
(fma.f64 y (*.f64 x (log.f64 z)) (fma.f64 1/2 (*.f64 (*.f64 y y) (*.f64 x (pow.f64 (log.f64 z) 2))) (fma.f64 1/6 (*.f64 (pow.f64 y 3) (*.f64 x (pow.f64 (log.f64 z) 3))) x)))
(fma.f64 y (*.f64 x (log.f64 z)) (fma.f64 1/2 (*.f64 x (*.f64 (*.f64 y y) (pow.f64 (log.f64 z) 2))) (fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 y 3) (pow.f64 (log.f64 z) 3))) x)))
(fma.f64 y (*.f64 x (log.f64 z)) (fma.f64 (*.f64 y y) (*.f64 x (*.f64 (pow.f64 (log.f64 z) 2) 1/2)) (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 (log.f64 z) 3) (*.f64 x 1/6)) x)))
(*.f64 x (+.f64 (fma.f64 y (log.f64 z) 1) (*.f64 (pow.f64 (log.f64 z) 2) (+.f64 (*.f64 1/6 (*.f64 (log.f64 z) (pow.f64 y 3))) (*.f64 y (*.f64 y 1/2))))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 z y) x)) 1)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(pow.f64 (*.f64 (pow.f64 z y) x) 1)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 z y) x)) 2)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 z y) x)) 3)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(pow.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3) 1/3)
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 2))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 z y)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 z y) x) 3))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 z y) x)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(exp.f64 (log.f64 (*.f64 (pow.f64 z y) x)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 z y) x)))
(*.f64 (exp.f64 (neg.f64 (*.f64 y (neg.f64 (log.f64 z))))) x)
(*.f64 (exp.f64 (neg.f64 (neg.f64 (log.f64 (pow.f64 z y))))) x)
(*.f64 x (pow.f64 z y))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (exp.f64 (*.f64 a b)))
Compiler

Compiled 22 to 9 computations (59.1% saved)

series3.0ms (0%)

Counts
1 → 20
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 x (exp.f64 (*.f64 a b)))
0.0ms
a
@0
(*.f64 x (exp.f64 (*.f64 a b)))
0.0ms
x
@-inf
(*.f64 x (exp.f64 (*.f64 a b)))
0.0ms
x
@inf
(*.f64 x (exp.f64 (*.f64 a b)))
0.0ms
b
@0
(*.f64 x (exp.f64 (*.f64 a b)))

rewrite54.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1618×add-sqr-sqrt
1608×*-un-lft-identity
1478×add-cube-cbrt
1452×add-cbrt-cube
1434×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
117317
2202617
Stop Event
node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (*.f64 a b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (exp.f64 (*.f64 a b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (exp.f64 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (*.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 a b) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (*.f64 a b) (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (*.f64 a b)))))))))

simplify78.0ms (0.5%)

Algorithm
egg-herbie
Rules
930×associate-*r*
842×associate--l+
796×associate-*l*
662×count-2
650×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
057692
1156692
2536684
32499664
44939664
57279664
Stop Event
node limit
Counts
32 → 28
Calls
Call 1
Inputs
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
x
(+.f64 (*.f64 a (*.f64 b x)) x)
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x)))
x
(+.f64 (*.f64 a (*.f64 b x)) x)
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x)))
(-.f64 (+.f64 1 (*.f64 x (exp.f64 (*.f64 a b)))) 1)
(pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 3)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 2))
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (*.f64 a b))))
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (*.f64 a b)))))
(exp.f64 (+.f64 (*.f64 a b) (log.f64 x)))
(exp.f64 (*.f64 (+.f64 (*.f64 a b) (log.f64 x)) 1))
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (*.f64 a b)))))
Outputs
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(*.f64 (exp.f64 (*.f64 a b)) x)
(*.f64 (pow.f64 (exp.f64 a) b) x)
x
(+.f64 (*.f64 a (*.f64 b x)) x)
(fma.f64 a (*.f64 b x) x)
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(fma.f64 a (*.f64 b x) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) x))
(fma.f64 a (*.f64 b x) (fma.f64 1/2 (*.f64 a (*.f64 a (*.f64 b (*.f64 b x)))) x))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 a a) (*.f64 1/2 (*.f64 b b)))))
(+.f64 x (*.f64 (*.f64 a b) (+.f64 x (*.f64 (*.f64 a b) (*.f64 x 1/2)))))
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x)))
(fma.f64 a (*.f64 b x) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) x)))
(fma.f64 a (*.f64 b x) (fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 1/2 (*.f64 a (*.f64 a (*.f64 b (*.f64 b x)))) x)))
(fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 a a) (*.f64 1/2 (*.f64 b b))))))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 b b) (+.f64 (*.f64 1/6 (*.f64 b (pow.f64 a 3))) (*.f64 1/2 (*.f64 a a))))))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 b b) (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 1/6 (*.f64 b (pow.f64 a 3)))))))
x
(+.f64 (*.f64 a (*.f64 b x)) x)
(fma.f64 a (*.f64 b x) x)
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x))
(fma.f64 a (*.f64 b x) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) x))
(fma.f64 a (*.f64 b x) (fma.f64 1/2 (*.f64 a (*.f64 a (*.f64 b (*.f64 b x)))) x))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 a a) (*.f64 1/2 (*.f64 b b)))))
(+.f64 x (*.f64 (*.f64 a b) (+.f64 x (*.f64 (*.f64 a b) (*.f64 x 1/2)))))
(+.f64 (*.f64 a (*.f64 b x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 b 3) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) x))) x)))
(fma.f64 a (*.f64 b x) (fma.f64 1/6 (*.f64 (pow.f64 a 3) (*.f64 x (pow.f64 b 3))) (fma.f64 1/2 (*.f64 (*.f64 a a) (*.f64 x (*.f64 b b))) x)))
(fma.f64 a (*.f64 b x) (fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (fma.f64 1/2 (*.f64 a (*.f64 a (*.f64 b (*.f64 b x)))) x)))
(fma.f64 1/6 (*.f64 x (*.f64 (pow.f64 a 3) (pow.f64 b 3))) (*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 a a) (*.f64 1/2 (*.f64 b b))))))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 b b) (+.f64 (*.f64 1/6 (*.f64 b (pow.f64 a 3))) (*.f64 1/2 (*.f64 a a))))))
(*.f64 x (+.f64 (fma.f64 a b 1) (*.f64 (*.f64 b b) (+.f64 (*.f64 1/2 (*.f64 a a)) (*.f64 1/6 (*.f64 b (pow.f64 a 3)))))))
(-.f64 (+.f64 1 (*.f64 x (exp.f64 (*.f64 a b)))) 1)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 1)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(pow.f64 (sqrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 2)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(pow.f64 (cbrt.f64 (*.f64 x (exp.f64 (*.f64 a b)))) 3)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(pow.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3) 1/3)
(*.f64 (pow.f64 (exp.f64 a) b) x)
(sqrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 2))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(log.f64 (pow.f64 (exp.f64 x) (exp.f64 (*.f64 a b))))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(cbrt.f64 (pow.f64 (*.f64 x (exp.f64 (*.f64 a b))) 3))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(expm1.f64 (log1p.f64 (*.f64 x (exp.f64 (*.f64 a b)))))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(exp.f64 (+.f64 (*.f64 a b) (log.f64 x)))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(exp.f64 (*.f64 (+.f64 (*.f64 a b) (log.f64 x)) 1))
(*.f64 (pow.f64 (exp.f64 a) b) x)
(log1p.f64 (expm1.f64 (*.f64 x (exp.f64 (*.f64 a b)))))
(*.f64 (pow.f64 (exp.f64 a) b) x)

eval122.0ms (0.7%)

Compiler

Compiled 8411 to 4362 computations (48.1% saved)

prune85.0ms (0.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New3665371
Fresh011
Picked011
Done156
Total36712379
Error
0.0b
Counts
379 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
51.3b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
50.1b
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
50.1b
(-.f64 x (*.f64 (*.f64 a b) x))
50.2b
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
30.1b
(*.f64 (pow.f64 z y) x)
22.1b
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
27.1b
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
25.4b
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
46.1b
(*.f64 x (exp.f64 (*.f64 a b)))
55.1b
(*.f64 b (*.f64 x (neg.f64 a)))
54.9b
(*.f64 a (*.f64 x (neg.f64 b)))
49.5b
x
Compiler

Compiled 260 to 174 computations (33.1% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (*.f64 (*.f64 a b) x))
5.2b
(*.f64 (*.f64 a b) x)
Compiler

Compiled 24 to 9 computations (62.5% saved)

series4.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
0.0ms
a
@0
(*.f64 (*.f64 a b) x)
0.0ms
a
@-inf
(*.f64 (*.f64 a b) x)
0.0ms
x
@-inf
(-.f64 x (*.f64 (*.f64 a b) x))
0.0ms
a
@inf
(*.f64 (*.f64 a b) x)
0.0ms
a
@-inf
(-.f64 x (*.f64 (*.f64 a b) x))

rewrite64.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1952×add-sqr-sqrt
1936×*-un-lft-identity
1804×add-cube-cbrt
1780×add-cbrt-cube
186×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
117432
2240932
Stop Event
node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (*.f64 a b) x)
(-.f64 x (*.f64 (*.f64 a b) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 b x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 b x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 a (neg.f64 (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (*.f64 b x)) a (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 x) (*.f64 a b) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 b (neg.f64 a)) x (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 a (neg.f64 (*.f64 b x))) 1 (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 b x)))) (sqrt.f64 (*.f64 a (*.f64 b x))) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (neg.f64 (*.f64 b x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (*.f64 b (neg.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2) (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (/.f64 1 (+.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b (neg.f64 a)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (*.f64 a (*.f64 b x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (+.f64 x (*.f64 a (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) (*.f64 a (neg.f64 (*.f64 b x))))) (-.f64 x (*.f64 a (neg.f64 (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (neg.f64 (*.f64 b x))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) (*.f64 a (neg.f64 (*.f64 b x)))) (*.f64 x (*.f64 a (neg.f64 (*.f64 b x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))) (neg.f64 (+.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 a (neg.f64 (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 a (neg.f64 (*.f64 b x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 a (neg.f64 (*.f64 b x))))))))

simplify53.0ms (0.3%)

Algorithm
egg-herbie
Rules
734×distribute-lft-in
730×associate-/l*
718×*-commutative
706×unswap-sqr
656×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01482644
13852544
218712404
Stop Event
node limit
Counts
128 → 70
Calls
Call 1
Inputs
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
(*.f64 (+.f64 1 (*.f64 -1 (*.f64 a b))) x)
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 b x)))) 1)
(pow.f64 (*.f64 a (*.f64 b x)) 1)
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 3)
(pow.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 a b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 b x)))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 b x))))
(exp.f64 (log.f64 (*.f64 a (*.f64 b x))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 b x))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 a (neg.f64 (*.f64 b x))))
(+.f64 x (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) 1))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (*.f64 b x)) a (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 x) (*.f64 a b) (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 b (neg.f64 a)) x (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (*.f64 a (neg.f64 (*.f64 b x))) 1 (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 a (*.f64 b x)))) (sqrt.f64 (*.f64 a (*.f64 b x))) (*.f64 a (*.f64 b x))))
(+.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) (*.f64 a (*.f64 b x))))
(+.f64 (*.f64 a (neg.f64 (*.f64 b x))) x)
(*.f64 x (+.f64 1 (*.f64 b (neg.f64 a))))
(*.f64 x (-.f64 1 (*.f64 a b)))
(*.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(*.f64 1 (-.f64 x (*.f64 a (*.f64 b x))))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2) (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (/.f64 1 (+.f64 x (*.f64 a (*.f64 b x)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(*.f64 (+.f64 (*.f64 b (neg.f64 a)) 1) x)
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 a (*.f64 b x)))))
(/.f64 1 (/.f64 (+.f64 x (*.f64 a (*.f64 b x))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))) (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2)) (+.f64 x (*.f64 a (*.f64 b x))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3)) (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) (*.f64 a (neg.f64 (*.f64 b x))))) (-.f64 x (*.f64 a (neg.f64 (*.f64 b x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (neg.f64 (*.f64 b x))) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 a (neg.f64 (*.f64 b x))) (*.f64 a (neg.f64 (*.f64 b x)))) (*.f64 x (*.f64 a (neg.f64 (*.f64 b x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))) (neg.f64 (+.f64 x (*.f64 a (*.f64 b x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 a (*.f64 b x)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 a (*.f64 b x)) (+.f64 x (*.f64 a (*.f64 b x)))))))
(pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 2))
(log.f64 (exp.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x))))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 a (*.f64 b x))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(exp.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (*.f64 a (*.f64 b x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 a (*.f64 b x)))))
(fma.f64 1 x (*.f64 a (neg.f64 (*.f64 b x))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 a (neg.f64 (*.f64 b x))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 a (neg.f64 (*.f64 b x))))
Outputs
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 b x))
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(fma.f64 a (*.f64 b (neg.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 a (neg.f64 (*.f64 b x))))
(*.f64 x (-.f64 1 (*.f64 a b)))
(fma.f64 a (*.f64 b (neg.f64 x)) x)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
5.3b
(*.f64 a (*.f64 x (neg.f64 b)))
Compiler

Compiled 21 to 9 computations (57.1% saved)

series3.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 a (*.f64 x (neg.f64 b)))
0.0ms
a
@0
(*.f64 a (*.f64 x (neg.f64 b)))
0.0ms
b
@0
(*.f64 a (*.f64 x (neg.f64 b)))
0.0ms
a
@inf
(*.f64 a (*.f64 x (neg.f64 b)))
0.0ms
b
@-inf
(*.f64 a (*.f64 x (neg.f64 b)))

rewrite49.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1592×add-sqr-sqrt
1580×*-un-lft-identity
1460×add-cube-cbrt
1434×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118213
2231213
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 a (*.f64 x (neg.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 x b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 x b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 x b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 x b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (*.f64 x b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (*.f64 x b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 x b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 x b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 x b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 x b))))))))

simplify58.0ms (0.3%)

Algorithm
egg-herbie
Rules
1092×associate-*r*
1006×log-prod
994×associate-*l*
908×fma-def
642×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042798
1101798
2417798
32970798
46874798
Stop Event
node limit
Counts
50 → 20
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 x b)))) 1)
(pow.f64 (*.f64 a (*.f64 x b)) 1)
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x b))) 2)
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 x b))) 3)
(pow.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3) 1/3)
(neg.f64 (*.f64 a (*.f64 x b)))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 2))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 x b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 x b)))))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x b))))
(exp.f64 (log.f64 (*.f64 a (*.f64 x b))))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x b))) 1))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x b))))
Outputs
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 x b)))) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (*.f64 a (*.f64 x b)) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 x b))) 2)
(*.f64 a (*.f64 b x))
(pow.f64 (cbrt.f64 (*.f64 a (*.f64 x b))) 3)
(*.f64 a (*.f64 b x))
(pow.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3) 1/3)
(*.f64 a (*.f64 b x))
(neg.f64 (*.f64 a (*.f64 x b)))
(*.f64 a (neg.f64 (*.f64 b x)))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 b (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 2))
(*.f64 a (*.f64 b x))
(log.f64 (pow.f64 (exp.f64 a) (*.f64 x b)))
(*.f64 a (*.f64 b x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 x b)))))
(*.f64 a (*.f64 b x))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 x b)) 3))
(*.f64 a (*.f64 b x))
(expm1.f64 (log1p.f64 (*.f64 a (*.f64 x b))))
(*.f64 a (*.f64 b x))
(exp.f64 (log.f64 (*.f64 a (*.f64 x b))))
(*.f64 a (*.f64 b x))
(exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 x b))) 1))
(*.f64 a (*.f64 b x))
(log1p.f64 (expm1.f64 (*.f64 a (*.f64 x b))))
(*.f64 a (*.f64 b x))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
4.0b
(*.f64 b (*.f64 x (neg.f64 a)))
Compiler

Compiled 21 to 9 computations (57.1% saved)

series2.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
b
@0
(*.f64 b (*.f64 x (neg.f64 a)))
0.0ms
x
@-inf
(*.f64 b (*.f64 x (neg.f64 a)))
0.0ms
x
@inf
(*.f64 b (*.f64 x (neg.f64 a)))
0.0ms
a
@inf
(*.f64 b (*.f64 x (neg.f64 a)))
0.0ms
b
@inf
(*.f64 b (*.f64 x (neg.f64 a)))

rewrite53.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1592×add-sqr-sqrt
1580×*-un-lft-identity
1460×add-cube-cbrt
1434×add-cbrt-cube
184×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0917
118213
2231213
Stop Event
node limit
Counts
1 → 14
Calls
Call 1
Inputs
(*.f64 b (*.f64 x (neg.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 x a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 x a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 b (*.f64 x a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 x a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 b (*.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 x a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 x a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 x a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 x a))))))))

simplify59.0ms (0.3%)

Algorithm
egg-herbie
Rules
1234×associate-*r*
1140×log-prod
1122×associate-*l*
986×fma-def
742×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042798
1101798
2433798
33207798
47465798
Stop Event
node limit
Counts
50 → 20
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 x a)))) 1)
(pow.f64 (*.f64 b (*.f64 x a)) 1)
(pow.f64 (sqrt.f64 (*.f64 b (*.f64 x a))) 2)
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 x a))) 3)
(pow.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3) 1/3)
(neg.f64 (*.f64 b (*.f64 x a)))
(sqrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 2))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 x a)))))
(cbrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 x a))))
(exp.f64 (log.f64 (*.f64 b (*.f64 x a))))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 x a))) 1))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 x a))))
Outputs
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 b (*.f64 x a)))) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (*.f64 b (*.f64 x a)) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (sqrt.f64 (*.f64 b (*.f64 x a))) 2)
(*.f64 a (*.f64 b x))
(pow.f64 (cbrt.f64 (*.f64 b (*.f64 x a))) 3)
(*.f64 a (*.f64 b x))
(pow.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3) 1/3)
(*.f64 a (*.f64 b x))
(neg.f64 (*.f64 b (*.f64 x a)))
(*.f64 (neg.f64 b) (*.f64 a x))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 a (*.f64 b (neg.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 2))
(*.f64 a (*.f64 b x))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))
(*.f64 a (*.f64 b x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 x a)))))
(*.f64 a (*.f64 b x))
(cbrt.f64 (pow.f64 (*.f64 b (*.f64 x a)) 3))
(*.f64 a (*.f64 b x))
(expm1.f64 (log1p.f64 (*.f64 b (*.f64 x a))))
(*.f64 a (*.f64 b x))
(exp.f64 (log.f64 (*.f64 b (*.f64 x a))))
(*.f64 a (*.f64 b x))
(exp.f64 (*.f64 (log.f64 (*.f64 b (*.f64 x a))) 1))
(*.f64 a (*.f64 b x))
(log1p.f64 (expm1.f64 (*.f64 b (*.f64 x a))))
(*.f64 a (*.f64 b x))

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
3.2b
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
Compiler

Compiled 30 to 17 computations (43.3% saved)

series4.0ms (0%)

Counts
1 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
0.0ms
x
@0
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
0.0ms
a
@0
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
0.0ms
b
@-inf
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
0.0ms
x
@-inf
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))

rewrite62.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1468×associate-*l/
1362×associate-/l*
1284×associate-/r*
1046×*-commutative
602×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
122019
2307919
Stop Event
node limit
Counts
1 → 68
Calls
Call 1
Inputs
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (*.f64 (*.f64 a b) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 a b) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (*.f64 (*.f64 a b) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 (*.f64 a b) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 (*.f64 a b) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (*.f64 (*.f64 a b) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 a b)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 a b)) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (-.f64 1 (*.f64 a b)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2) (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (+.f64 -1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 (-.f64 1 (*.f64 a b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 a b)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 a b)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) x) (sqrt.f64 (-.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 a b)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 (cbrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (cbrt.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (pow.f64 x -1/2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 (neg.f64 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) (/.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (/.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) x))) (cbrt.f64 (-.f64 1 (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 a b) 2)) x) (-.f64 1 (pow.f64 (*.f64 a b) 2))) (-.f64 1 (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 a b) 2)) x) (+.f64 1 (pow.f64 (*.f64 a b) 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 a b) 2) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 a b) 3))) (-.f64 1 (*.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))))) (-.f64 1 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 a b) 3))) (+.f64 1 (pow.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) -1) (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) (/.f64 -1 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 a b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 a b))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x))))))))

simplify56.0ms (0.3%)

Algorithm
egg-herbie
Rules
1042×associate-/l*
1012×distribute-lft-in
940×distribute-rgt-in
816×associate-*r/
706×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01802578
15182514
219552482
Stop Event
node limit
Counts
104 → 101
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) x)
(+.f64 x (neg.f64 (*.f64 (*.f64 a b) x)))
(+.f64 (neg.f64 (*.f64 (*.f64 a b) x)) x)
(-.f64 x (*.f64 (*.f64 a b) x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 x (*.f64 (*.f64 a b) x)))) 1)
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (neg.f64 (*.f64 (*.f64 a b) x))))
(-.f64 (exp.f64 (log1p.f64 x)) (+.f64 1 (*.f64 (*.f64 a b) x)))
(*.f64 1 (-.f64 x (*.f64 (*.f64 a b) x)))
(*.f64 (-.f64 1 (*.f64 a b)) x)
(*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 1)
(*.f64 (sqrt.f64 x) (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(*.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) x))
(*.f64 (cbrt.f64 x) (*.f64 (-.f64 1 (*.f64 a b)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2))
(*.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2) (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (*.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) x))
(*.f64 x (-.f64 1 (*.f64 a b)))
(*.f64 -1 (*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 x)))
(*.f64 (neg.f64 x) (+.f64 -1 (*.f64 a b)))
(*.f64 (neg.f64 x) (/.f64 (-.f64 1 (*.f64 a b)) -1))
(*.f64 (+.f64 -1 (*.f64 a b)) (neg.f64 x))
(*.f64 (*.f64 (-.f64 1 (*.f64 a b)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) x) (sqrt.f64 (-.f64 1 (*.f64 a b))))
(*.f64 (*.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) x) (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x -2))) (*.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 x)))
(*.f64 (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 x))
(*.f64 (*.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (-.f64 1 (*.f64 a b)) -1) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 a b))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) 1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (cbrt.f64 (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 (cbrt.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 (cbrt.f64 x))) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 a b))) (cbrt.f64 (pow.f64 x -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (/.f64 1 x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (pow.f64 x -1/2)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (pow.f64 x -1/2)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) (pow.f64 x -1/2)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (pow.f64 x -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) 1) (cbrt.f64 x))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) (/.f64 1 x)) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) (/.f64 1 x)) (cbrt.f64 (-.f64 1 (*.f64 a b))))
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 a b))) 2) x))) (cbrt.f64 (-.f64 1 (*.f64 a b))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 a b) 2)) x) (-.f64 1 (pow.f64 (*.f64 a b) 2))) (-.f64 1 (*.f64 a b)))
(*.f64 (/.f64 (*.f64 (-.f64 1 (pow.f64 (*.f64 a b) 2)) x) (+.f64 1 (pow.f64 (*.f64 a b) 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 a b) 2) (*.f64 a b))))
(*.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 a b) 3))) (-.f64 1 (*.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))))) (-.f64 1 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))))
(*.f64 (/.f64 (*.f64 x (-.f64 1 (pow.f64 (*.f64 a b) 3))) (+.f64 1 (pow.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) 3))) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2))) (+.f64 (*.f64 a b) (pow.f64 (*.f64 a b) 2)))))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 x)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) -1) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) (/.f64 -1 x)) (neg.f64 x))
(pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 3)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 a b))) -1)
(neg.f64 (*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 a b))) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x)))))
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(exp.f64 (log.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
Outputs
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a b) (neg.f64 x))
(*.f64 x (*.f64 a (neg.f64 b)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a b) (neg.f64 x))
(*.f64 x (*.f64 a (neg.f64 b)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
x
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 (*.f64 a b) (neg.f64 x))
(*.f64 x (*.f64 a (neg.f64 b)))
(+.f64 x (*.f64 -1 (*.f64 a (*.f64 b x))))
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(*.f64 (*.f64 (/.f64 (-.f64 1 (*.f64 a b)) (sqrt.f64 -1)) (sqrt.f64 x)) (sqrt.f64 (neg.f64 x)))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 (/.f64 (sqrt.f64 -1) (sqrt.f64 x)) (sqrt.f64 (neg.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 a b)) (cbrt.f64 (pow.f64 x -2))) -1) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 a b)) (*.f64 -1 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 1 (*.f64 a b)) (neg.f64 (cbrt.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 a b -1) (cbrt.f64 (pow.f64 x -2))) (cbrt.f64 (neg.f64 x)))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) -1) (*.f64 x (neg.f64 x)))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) (/.f64 -1 x)) (neg.f64 x))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 1)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 2)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(pow.f64 (cbrt.f64 (-.f64 x (*.f64 (*.f64 a b) x))) 3)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(pow.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3) 1/3)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(pow.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 a b))) -1)
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(neg.f64 (*.f64 (-.f64 1 (*.f64 a b)) (neg.f64 x)))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 2))
(sqrt.f64 (pow.f64 (-.f64 x (*.f64 x (*.f64 a b))) 2))
(fabs.f64 (fma.f64 (*.f64 a b) (neg.f64 x) x))
(log.f64 (pow.f64 (exp.f64 (-.f64 1 (*.f64 a b))) x))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x)))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(cbrt.f64 (pow.f64 (-.f64 x (*.f64 (*.f64 a b) x)) 3))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(expm1.f64 (log1p.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(exp.f64 (log.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)
(log1p.f64 (expm1.f64 (-.f64 x (*.f64 (*.f64 a b) x))))
(-.f64 x (*.f64 x (*.f64 a b)))
(fma.f64 (*.f64 a b) (neg.f64 x) x)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))
5.3b
(*.f64 (*.f64 b x) (neg.f64 a))
9.3b
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a))))
34.4b
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
Compiler

Compiled 87 to 14 computations (83.9% saved)

series18.0ms (0.1%)

Counts
4 → 144
Calls

36 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
2.0ms
a
@inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
1.0ms
x
@0
(*.f64 (*.f64 b x) (neg.f64 a))
1.0ms
x
@inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
1.0ms
x
@-inf
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))

rewrite154.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1780×associate-/l/
622×associate-+l+
348×add-sqr-sqrt
340×pow1
340×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014138
132776
2542076
Stop Event
node limit
Counts
4 → 476
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (*.f64 b x) (neg.f64 a))
(*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 x (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 b a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 x (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 x (*.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 b a))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 b a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))))))

simplify247.0ms (1.4%)

Algorithm
egg-herbie
Rules
1594×associate-/r*
1582×associate-/l*
1266×+-commutative
812×*-commutative
698×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100841412
1302140138
Stop Event
node limit
Counts
620 → 769
Calls
Call 1
Inputs
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(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
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(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (+.f64 (*.f64 a b) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (+.f64 (*.f64 a b) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (+.f64 (*.f64 a b) 1))
x
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(+.f64 (*.f64 -1 (*.f64 a (*.f64 b x))) x)
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(*.f64 -1 (*.f64 a (*.f64 b x)))
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x
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(*.f64 -1 (*.f64 a (*.f64 b x)))
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(*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 x 2))
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(*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 x 2))
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(pow.f64 x 2)
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(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
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(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
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(*.f64 -1 (*.f64 a (*.f64 b x)))
(*.f64 -1 (*.f64 a (*.f64 b x)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
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(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(*.f64 (pow.f64 a 2) (*.f64 (pow.f64 b 2) (pow.f64 x 2)))
(+.f64 x (*.f64 x (*.f64 b a)))
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(+.f64 (*.f64 x (*.f64 b a)) (+.f64 x (fma.f64 a (*.f64 x b) (*.f64 x (*.f64 b a)))))
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(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6)) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (-.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 (*.f64 (*.f64 x b) (*.f64 x a)) 2)))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6)) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (-.f64 (pow.f64 x 4) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 (*.f64 (*.f64 x b) (*.f64 x a)) 2)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (*.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 (*.f64 x (*.f64 b a)) 4))) (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) 3)) (-.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) 3)) (*.f64 1 (-.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) 3)) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (-.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) (pow.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) 3)) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (-.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x (*.f64 b a)))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (+.f64 x (*.f64 x (*.f64 b a)))) 3)) (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x (*.f64 b a)))) (/.f64 (*.f64 x x) (+.f64 x (*.f64 x (*.f64 b a))))) (*.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (+.f64 x (*.f64 x (*.f64 b a)))) (/.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (+.f64 x (*.f64 x (*.f64 b a)))))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 x (*.f64 b a)))) (/.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (+.f64 x (*.f64 x (*.f64 b a))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x b) (*.f64 x a)) 2) (pow.f64 x 4))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6) (pow.f64 (*.f64 x (*.f64 b a)) 6)) (*.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) 3)) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (*.f64 (pow.f64 x 4) (pow.f64 x 4)) (+.f64 (*.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 (*.f64 x (*.f64 b a)) 4)) (*.f64 (pow.f64 x 4) (pow.f64 (*.f64 x (*.f64 b a)) 4))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 x (*.f64 b a)))) (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (pow.f64 (*.f64 x (*.f64 b a)) 2))) (+.f64 x (*.f64 x (*.f64 b a))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))) (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 b a)) (+.f64 x (*.f64 x (*.f64 b a)))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))) (*.f64 1 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 b a)) (+.f64 x (*.f64 x (*.f64 b a))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 b a)) (+.f64 x (*.f64 x (*.f64 b a))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (fma.f64 x x (*.f64 (*.f64 x (*.f64 b a)) (+.f64 x (*.f64 x (*.f64 b a))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 b a)) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6)) 1) (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (+.f64 (pow.f64 (*.f64 (*.f64 x b) (*.f64 x a)) 2) (pow.f64 x 4))) (+.f64 x (*.f64 x (*.f64 b a))))))
(/.f64 (*.f64 (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6)) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4))) (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (-.f64 (pow.f64 x 6) (pow.f64 (*.f64 x (*.f64 b a)) 6))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(/.f64 (*.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1) (*.f64 (-.f64 (*.f64 x (*.f64 b a)) x) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1) (*.f64 1 (*.f64 (-.f64 (*.f64 x (*.f64 b a)) x) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1) (*.f64 (*.f64 (+.f64 x (*.f64 x (*.f64 b a))) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x))) (*.f64 (-.f64 (*.f64 x (*.f64 b a)) x) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (*.f64 (-.f64 (*.f64 x (*.f64 b a)) x) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))) (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (neg.f64 (-.f64 (*.f64 x (*.f64 b a)) x))))
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 1)
(pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) 1/3)
(sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(exp.f64 (log.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(fma.f64 x x (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fma.f64 (+.f64 x (*.f64 x (*.f64 b a))) (+.f64 x (*.f64 x (*.f64 b a))) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(fma.f64 1 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fma.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) 2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 b a)) 2))
(+.f64 0 (*.f64 x (*.f64 b a)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a))))) 1)
(-.f64 0 (*.f64 x (*.f64 b a)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a)))) 1)
(pow.f64 (*.f64 x (*.f64 b a)) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 b a))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3) 1/3)
(neg.f64 (*.f64 x (*.f64 b a)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fabs.f64 (*.f64 x (*.f64 b a)))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 b a)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 b a))))
(exp.f64 (log.f64 (*.f64 x (*.f64 b a))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 b a))))
(+.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))) 1)
(-.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))) 1)
(pow.f64 (*.f64 x (*.f64 b a)) 2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6) 1/3)
(neg.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
Outputs
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) x) (-.f64 1 (*.f64 -1 (*.f64 a b))))
(/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (/.f64 (-.f64 1 (neg.f64 (*.f64 a b))) x))
(*.f64 (/.f64 (-.f64 1 (*.f64 (*.f64 a a) (*.f64 b b))) (-.f64 1 (neg.f64 (*.f64 a b)))) x)
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(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1) (*.f64 (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (+.f64 x (*.f64 x (*.f64 b a)))) (*.f64 (-.f64 (*.f64 x (*.f64 b a)) x) (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x (*.f64 a b) x) 2)) (/.f64 (*.f64 (fma.f64 x (*.f64 a b) x) -1) (fma.f64 x (*.f64 a b) (neg.f64 x)))) (/.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 x (*.f64 a b) (neg.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 a (*.f64 b x)) x) (-.f64 x (*.f64 a (*.f64 b x)))) (*.f64 (fma.f64 x (*.f64 a b) x) (-.f64 (*.f64 a (*.f64 b x)) x)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))) (*.f64 (/.f64 -1 (-.f64 (*.f64 x (*.f64 b a)) x)) (neg.f64 (-.f64 (*.f64 x (*.f64 b a)) x))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 a b) x) 2) (neg.f64 (/.f64 (-.f64 x (*.f64 a (*.f64 b x))) (fma.f64 x (*.f64 a b) (neg.f64 x)))))
(/.f64 (pow.f64 (fma.f64 x (*.f64 a b) x) 2) (neg.f64 (/.f64 (-.f64 (*.f64 a (*.f64 b x)) x) (-.f64 x (*.f64 a (*.f64 b x))))))
(pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 1)
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a b) x)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3) 1/3)
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(sqrt.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4) (pow.f64 x 4)))
(sqrt.f64 (+.f64 (pow.f64 (*.f64 a (*.f64 b x)) 4) (pow.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2))))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) 3))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(exp.f64 (log.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)) 1))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2)))
(pow.f64 (fma.f64 x (*.f64 a b) x) 2)
(fma.f64 x x (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fma.f64 x x (pow.f64 (*.f64 a (*.f64 b x)) 2))
(fma.f64 (+.f64 x (*.f64 x (*.f64 b a))) (+.f64 x (*.f64 x (*.f64 b a))) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(+.f64 (pow.f64 (fma.f64 x (*.f64 a b) x) 2) (*.f64 2 (pow.f64 (*.f64 a (*.f64 b x)) 2)))
(fma.f64 1 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fma.f64 1 (*.f64 x x) (pow.f64 (*.f64 a (*.f64 b x)) 2))
(fma.f64 1 (pow.f64 (+.f64 x (*.f64 x (*.f64 b a))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(+.f64 (pow.f64 (fma.f64 x (*.f64 a b) x) 2) (*.f64 2 (pow.f64 (*.f64 a (*.f64 b x)) 2)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) 2) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x (*.f64 b a)))) 2) (+.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(+.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a b) x)) 2) 3) (*.f64 2 (pow.f64 (*.f64 a (*.f64 b x)) 2)))
(+.f64 (*.f64 2 (pow.f64 (*.f64 a (*.f64 b x)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 a b) x)) 2) 3))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 x (*.f64 b a)) 2))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) (pow.f64 (*.f64 a (*.f64 b x)) 2))
(+.f64 0 (*.f64 x (*.f64 b a)))
(*.f64 a (*.f64 b x))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a))))) 1)
(*.f64 x (neg.f64 (*.f64 a b)))
(-.f64 0 (*.f64 x (*.f64 b a)))
(*.f64 x (neg.f64 (*.f64 a b)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 b a)))) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (*.f64 x (*.f64 b a)) 1)
(*.f64 a (*.f64 b x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 b a))) 2)
(pow.f64 (sqrt.f64 (*.f64 a (*.f64 b x))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 3)
(*.f64 a (*.f64 b x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3) 1/3)
(*.f64 a (*.f64 b x))
(neg.f64 (*.f64 x (*.f64 b a)))
(*.f64 x (neg.f64 (*.f64 a b)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(fabs.f64 (*.f64 x (*.f64 b a)))
(fabs.f64 (*.f64 a (*.f64 b x)))
(log.f64 (pow.f64 (exp.f64 b) (*.f64 x a)))
(*.f64 (*.f64 a x) (log.f64 (exp.f64 b)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 b a)))))
(*.f64 a (*.f64 b x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 3))
(*.f64 a (*.f64 b x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 b a))))
(*.f64 a (*.f64 b x))
(exp.f64 (log.f64 (*.f64 x (*.f64 b a))))
(*.f64 a (*.f64 b x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 1))
(*.f64 a (*.f64 b x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 b a))))
(*.f64 a (*.f64 b x))
(+.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))) 1)
(neg.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(-.f64 0 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(neg.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))) 1)
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(pow.f64 (*.f64 x (*.f64 b a)) 2)
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2) 1)
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 b a))) 2) 3)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 b x))) 2) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 6))
(neg.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))
(neg.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 4))
(sqrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(log.f64 (/.f64 1 (exp.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))
(neg.f64 (pow.f64 (*.f64 a (*.f64 b x)) 2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2))))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 b a)) 6))
(cbrt.f64 (pow.f64 (*.f64 a (*.f64 b x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(exp.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 b a))) 2))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 x (*.f64 b a)))) 1))
(pow.f64 (*.f64 a (*.f64 b x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (*.f64 b a)) 2)))
(pow.f64 (*.f64 a (*.f64 b x)) 2)

eval399.0ms (2.3%)

Compiler

Compiled 35139 to 9130 computations (74% saved)

prune435.0ms (2.5%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New102351028
Fresh011
Picked101
Done1910
Total1025151040
Error
0.0b
Counts
1040 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
50.1b
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
38.1b
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
49.7b
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
50.1b
(-.f64 x (*.f64 (*.f64 a b) x))
50.2b
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
30.1b
(*.f64 (pow.f64 z y) x)
50.6b
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
55.4b
(*.f64 (*.f64 a b) (neg.f64 x))
22.1b
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
27.1b
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
25.4b
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
46.1b
(*.f64 x (exp.f64 (*.f64 a b)))
55.1b
(*.f64 b (*.f64 x (neg.f64 a)))
54.8b
(*.f64 a (*.f64 b x))
49.5b
x
Compiler

Compiled 221 to 159 computations (28.1% saved)

regimes165.0ms (1%)

Counts
23 → 1
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
Outputs
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
Calls

9 calls:

35.0ms
y
17.0ms
b
14.0ms
a
13.0ms
x
12.0ms
z
Results
ErrorSegmentsBranch
0.3b1x
0.3b1y
0.3b1z
0.3b1t
0.3b1a
0.3b1b
0.3b1(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.3b1(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.3b1(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
Compiler

Compiled 347 to 178 computations (48.7% saved)

regimes118.0ms (0.7%)

Counts
22 → 2
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
Outputs
(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
Calls

9 calls:

22.0ms
a
15.0ms
(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
14.0ms
z
12.0ms
t
12.0ms
y
Results
ErrorSegmentsBranch
2.6b1x
2.6b1y
2.6b1z
2.6b1t
1.1b2a
2.6b1b
1.1b2(*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.6b2(exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.6b2(+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
Compiler

Compiled 331 to 174 computations (47.4% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.822264051554119e-16
-5.576176710879432e-19
Compiler

Compiled 33 to 25 computations (24.2% saved)

regimes629.0ms (3.6%)

Counts
21 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log.f64 z) t) y)))
(*.f64 x (exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 z)) b) a)))
(*.f64 x (pow.f64 (exp.f64 (-.f64 (log.f64 z) t)) y))
Outputs
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
(*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z))))
(*.f64 (pow.f64 z y) x)
Calls

6 calls:

273.0ms
z
130.0ms
x
69.0ms
a
61.0ms
t
58.0ms
y
Results
ErrorSegmentsBranch
11.5b9x
6.2b3y
13.1b6z
12.6b5t
8.2b5a
9.7b3b
Compiler

Compiled 246 to 117 computations (52.4% saved)

bsearch66.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
1.395146423614106e-6
1.8690304827081658e-6
54.0ms
-3.650166784882286e-56
-1.7938283258839198e-67
Results
35.0ms197×body256valid
13.0msbody1024valid
10.0ms54×body256infinite
3.0msbody512valid
1.0msbody512infinite
1.0msbody1024infinite
Compiler

Compiled 417 to 318 computations (23.7% saved)

regimes398.0ms (2.3%)

Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
Outputs
(*.f64 x (exp.f64 (*.f64 y (neg.f64 t))))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
Calls

6 calls:

151.0ms
z
68.0ms
t
64.0ms
b
45.0ms
x
38.0ms
a
Results
ErrorSegmentsBranch
20.6b5x
7.8b3y
17.8b11z
13.6b5t
17.6b3a
13.3b4b
Compiler

Compiled 209 to 99 computations (52.6% saved)

bsearch79.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
32.0ms
1.2798187133255461e-8
1.395146423614106e-6
47.0ms
-3.650166784882286e-56
-1.7938283258839198e-67
Results
52.0ms264×body256valid
16.0ms95×body256infinite
2.0msbody512valid
2.0msbody1024infinite
1.0msbody1024valid
Compiler

Compiled 495 to 385 computations (22.2% saved)

regimes207.0ms (1.2%)

Counts
16 → 2
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
Outputs
(*.f64 x (exp.f64 (*.f64 b (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
Calls

6 calls:

54.0ms
z
53.0ms
b
32.0ms
t
24.0ms
a
23.0ms
x
Results
ErrorSegmentsBranch
21.8b3x
11.2b2y
20.7b7z
21.3b4t
18.6b3a
16.4b6b
Compiler

Compiled 202 to 95 computations (53% saved)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Steps
TimeLeftRight
30.0ms
1.2798187133255461e-8
1.395146423614106e-6
Results
23.0ms110×body256valid
5.0ms29×body256infinite
1.0msbody512valid
0.0msbody512infinite
Compiler

Compiled 215 to 165 computations (23.3% saved)

regimes209.0ms (1.2%)

Counts
15 → 4
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(*.f64 x (exp.f64 (*.f64 a b)))
Outputs
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 x (exp.f64 (*.f64 a b)))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
Calls

6 calls:

47.0ms
b
40.0ms
z
32.0ms
a
31.0ms
y
30.0ms
t
Results
ErrorSegmentsBranch
24.5b3x
22.6b4y
27.7b5z
25.9b4t
23.7b3a
23.6b5b
Compiler

Compiled 195 to 92 computations (52.8% saved)

bsearch94.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
33.0ms
1.7075916879604042e-70
5.4217486425308006e-67
26.0ms
1.156513494378218e-104
2.710021814461471e-102
35.0ms
8.360447175440603e-282
1.9982207647824673e-275
Results
69.0ms357×body256valid
9.0ms45×body256infinite
8.0ms22×body512valid
3.0msbody1024valid
1.0msbody1024infinite
Compiler

Compiled 793 to 569 computations (28.2% saved)

regimes198.0ms (1.1%)

Counts
14 → 5
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 b x) (neg.f64 a)) (*.f64 (*.f64 b x) (neg.f64 a)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
Outputs
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (pow.f64 z y) x)
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
Calls

6 calls:

48.0ms
b
37.0ms
z
32.0ms
a
29.0ms
t
26.0ms
x
Results
ErrorSegmentsBranch
24.5b3x
23.9b2y
27.7b5z
25.9b4t
23.7b3a
23.6b5b
Compiler

Compiled 189 to 90 computations (52.4% saved)

bsearch208.0ms (1.2%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
1.1443784932131661e+138
1.2662792150603176e+150
40.0ms
-5.52673757856746e-167
-1.768342592096057e-169
60.0ms
-1.1301731093258296e-107
-1.2274767025404594e-113
66.0ms
-4.034650842538637e+185
-4.348994243017279e+182
Results
97.0ms534×body256valid
31.0ms147×body256infinite
25.0ms15×body512infinite
7.0ms22×body512valid
5.0msbody1024infinite
2.0msbody1024valid
Compiler

Compiled 1271 to 880 computations (30.8% saved)

regimes160.0ms (0.9%)

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

6 calls:

41.0ms
y
35.0ms
x
28.0ms
a
23.0ms
t
22.0ms
b
Results
ErrorSegmentsBranch
33.1b5x
34.3b6y
38.1b1z
37.1b3t
36.0b3a
35.4b3b
Compiler

Compiled 184 to 88 computations (52.2% saved)

bsearch124.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
29.0ms
5.751384641679436e+149
1.4702549160920978e+159
31.0ms
-1.5984592507899518e-42
-1.0162005461144028e-47
25.0ms
-1.2811052013269523e+21
-4940883196093022000.0
38.0ms
-7.870062072009315e+169
-5.1992491182547605e+149
Results
106.0ms572×body256valid
6.0ms18×body512valid
1.0msbody1024valid
Compiler

Compiled 1526 to 1040 computations (31.8% saved)

regimes103.0ms (0.6%)

Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
Outputs
(+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b))))))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
x
Calls

6 calls:

20.0ms
b
18.0ms
a
18.0ms
x
18.0ms
y
18.0ms
t
Results
ErrorSegmentsBranch
34.3b3x
36.9b3y
38.1b1z
37.1b3t
36.0b3a
35.4b3b
Compiler

Compiled 137 to 79 computations (42.3% saved)

bsearch63.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
27.0ms
5.751384641679436e+149
1.4702549160920978e+159
36.0ms
-7.870062072009315e+169
-5.1992491182547605e+149
Results
54.0ms308×body256valid
3.0msbody512valid
2.0msbody1024valid
Compiler

Compiled 727 to 513 computations (29.4% saved)

regimes94.0ms (0.5%)

Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
(*.f64 (/.f64 (-.f64 (/.f64 1 x) (/.f64 (*.f64 a b) x)) 1) (*.f64 x x))
Outputs
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))
x
Calls

6 calls:

17.0ms
x
17.0ms
t
17.0ms
a
17.0ms
b
16.0ms
y
Results
ErrorSegmentsBranch
34.3b3x
36.9b3y
38.1b1z
37.1b3t
36.0b3a
35.4b3b
Compiler

Compiled 122 to 72 computations (41% saved)

bsearch64.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
28.0ms
5.751384641679436e+149
1.4702549160920978e+159
35.0ms
-7.870062072009315e+169
-5.1992491182547605e+149
Results
53.0ms310×body256valid
4.0msbody1024valid
1.0msbody512valid
Compiler

Compiled 639 to 458 computations (28.3% saved)

regimes76.0ms (0.4%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
(*.f64 b (*.f64 x (neg.f64 a)))
(*.f64 (*.f64 a b) (neg.f64 x))
(-.f64 x (*.f64 a (*.f64 b x)))
(-.f64 x (*.f64 (*.f64 a b) x))
(/.f64 (-.f64 1 (*.f64 a b)) (/.f64 1 x))
Outputs
(*.f64 a (*.f64 b x))
x
(*.f64 b (*.f64 x (neg.f64 a)))
Calls

6 calls:

15.0ms
a
15.0ms
z
14.0ms
y
14.0ms
x
10.0ms
t
Results
ErrorSegmentsBranch
46.6b3x
43.8b3y
48.3b3z
48.1b2t
48.3b3a
49.5b1b
Compiler

Compiled 95 to 61 computations (35.8% saved)

bsearch77.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
19.0ms
2.001369836436621e-18
6.988826265899401e-18
58.0ms
-1.7695031980428121e+28
-2293217635796524500.0
Results
39.0ms226×body256valid
24.0ms137×body256infinite
4.0msbody1024valid
3.0msbody512valid
1.0msbody512infinite
Compiler

Compiled 338 to 270 computations (20.1% saved)

regimes37.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
(*.f64 a (*.f64 x (neg.f64 b)))
Outputs
(*.f64 a (*.f64 b x))
x
(*.f64 a (*.f64 x (neg.f64 b)))
Calls

6 calls:

10.0ms
x
9.0ms
y
6.0ms
t
4.0ms
a
3.0ms
b
Results
ErrorSegmentsBranch
46.6b3x
44.1b3y
49.5b1z
48.1b2t
49.5b1a
49.5b1b
Compiler

Compiled 60 to 47 computations (21.7% saved)

bsearch84.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
21.0ms
2.001369836436621e-18
6.988826265899401e-18
63.0ms
-1.7695031980428121e+28
-2293217635796524500.0
Results
41.0ms232×body256valid
35.0ms197×body256infinite
2.0msbody512valid
2.0msbody512infinite
1.0msbody1024valid
Compiler

Compiled 338 to 270 computations (20.1% saved)

regimes35.0ms (0.2%)

Accuracy

Total -18.0b remaining (-40.9%)

Threshold costs -18.0b (-40.9%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 a (*.f64 b x))
Outputs
(*.f64 a (*.f64 b x))
x
(*.f64 a (*.f64 b x))
Calls

6 calls:

9.0ms
y
9.0ms
x
6.0ms
t
4.0ms
b
4.0ms
z
Results
ErrorSegmentsBranch
46.6b3x
44.1b3y
49.5b1z
48.1b2t
49.5b1a
49.5b1b
Compiler

Compiled 54 to 44 computations (18.5% saved)

bsearch84.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
2.001369836436621e-18
6.988826265899401e-18
66.0ms
-1.7695031980428121e+28
-2293217635796524500.0
Results
41.0ms235×body256valid
36.0ms183×body256infinite
2.0msbody512infinite
1.0msbody512valid
1.0msbody1024valid
Compiler

Compiled 333 to 265 computations (20.4% saved)

simplify77.0ms (0.4%)

Algorithm
egg-herbie
Rules
506×distribute-lft-neg-in
386×*-commutative
248×distribute-rgt-neg-in
192×+-commutative
190×neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01411222
12161182
22931182
33641182
44411182
55531182
67081182
78891182
810591182
912121182
1012831182
1113011182
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z)))))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -8198170380571703/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 6375194751874021/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y 1357680363825023/1180591620717411303424) (*.f64 x (exp.f64 (*.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y 96055802417287/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 y 5648671608315113/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 x (exp.f64 (*.f64 a b))) (if (<=.f64 y 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (*.f64 (pow.f64 z y) x))))
(if (<=.f64 b -299999999999999993885113250626114551332138835560052495620289635687234536435668333010851433833118795523580753417488871635665052927620914078455668433976023717581292656482593167775379750912) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 b -4332296397063773/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (*.f64 (pow.f64 z y) x) (if (<=.f64 b -6373655913801205/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 b 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016) (*.f64 (pow.f64 z y) x) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))) (if (<=.f64 x -6500000000000000000) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 x -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (-.f64 x (*.f64 (*.f64 a b) x)) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))
(if (<=.f64 y -2600000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 b (*.f64 x (neg.f64 a)))))
(if (<=.f64 y -13200000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 a (*.f64 x (neg.f64 b)))))
(if (<=.f64 y -1520000000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 a (*.f64 b x))))
x
Outputs
(*.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z)))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 z b)))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 a (neg.f64 (+.f64 z b))))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 a (-.f64 (neg.f64 b) z)))))
(if (<=.f64 (-.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 b (log.f64 (-.f64 1 z))))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (-.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 b (log.f64 (-.f64 1 z))))))) (*.f64 x (exp.f64 (*.f64 a (-.f64 (neg.f64 b) z)))))
(if (<=.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))) -2535301200456459/5070602400912917605986812821504) (*.f64 x (exp.f64 (+.f64 (*.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))) (*.f64 x (exp.f64 (*.f64 a (-.f64 (neg.f64 z) b)))))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 b z)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 (neg.f64 a) (+.f64 z b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 a (neg.f64 (+.f64 z b))))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 a (-.f64 (neg.f64 b) z)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -7950811791502729/220855883097298041197912187592864814478435487109452369765200775161577472) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 8028023020878397/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 a (-.f64 (neg.f64 z) b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -8198170380571703/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 6375194751874021/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x)))
(if (<=.f64 y -8198170380571703/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 6375194751874021/4722366482869645213696) (*.f64 x (exp.f64 (neg.f64 (*.f64 a b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y -8198170380571703/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 x (exp.f64 (*.f64 y (neg.f64 t)))) (if (<=.f64 y 6375194751874021/4722366482869645213696) (*.f64 x (exp.f64 (*.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y))))
(if (<=.f64 y 1357680363825023/1180591620717411303424) (*.f64 x (exp.f64 (*.f64 b (neg.f64 a)))) (*.f64 (pow.f64 z y) x))
(if (<=.f64 y 1357680363825023/1180591620717411303424) (*.f64 x (exp.f64 (neg.f64 (*.f64 a b)))) (*.f64 x (pow.f64 z y)))
(if (<=.f64 y 1357680363825023/1180591620717411303424) (*.f64 x (exp.f64 (*.f64 a (neg.f64 b)))) (*.f64 x (pow.f64 z y)))
(if (<=.f64 y 96055802417287/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 y 5648671608315113/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 x (exp.f64 (*.f64 a b))) (if (<=.f64 y 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (*.f64 (pow.f64 z y) x))))
(if (<=.f64 y 96055802417287/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (if (<=.f64 y 5648671608315113/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 x (exp.f64 (*.f64 a b))) (if (<=.f64 y 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (*.f64 x (pow.f64 z y)))))
(if (<=.f64 y 96055802417287/10218702384817765435680628290748613458265350453429542612493041881278524886369096016818984783322294789577433327842265575649138882500575199542984559607218336872038429045509558663769793133795138494375185186532064890845853749530218856391110938974453986086436459043203870933208875495579361330830770176) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 y 5648671608315113/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792) (*.f64 x (exp.f64 (*.f64 a b))) (if (<=.f64 y 493255773416689/948568795032094272909893509191171341133987714380927500611236528192824358010355712) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (*.f64 x (pow.f64 z y)))))
(if (<=.f64 b -299999999999999993885113250626114551332138835560052495620289635687234536435668333010851433833118795523580753417488871635665052927620914078455668433976023717581292656482593167775379750912) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 b -4332296397063773/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (*.f64 (pow.f64 z y) x) (if (<=.f64 b -6373655913801205/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 b 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016) (*.f64 (pow.f64 z y) x) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a))))))))
(if (<=.f64 b -299999999999999993885113250626114551332138835560052495620289635687234536435668333010851433833118795523580753417488871635665052927620914078455668433976023717581292656482593167775379750912) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (if (<=.f64 b -4332296397063773/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (*.f64 x (pow.f64 z y)) (if (<=.f64 b -6373655913801205/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 (*.f64 x x) (*.f64 b b)))) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (if (<=.f64 b 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016) (*.f64 x (pow.f64 z y)) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b))))))))
(if (<=.f64 b -299999999999999993885113250626114551332138835560052495620289635687234536435668333010851433833118795523580753417488871635665052927620914078455668433976023717581292656482593167775379750912) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 b -4332296397063773/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (*.f64 x (pow.f64 z y)) (if (<=.f64 b -6373655913801205/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (neg.f64 (*.f64 b b)))) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 b 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016) (*.f64 x (pow.f64 z y)) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b))))))))
(if (<=.f64 b -299999999999999993885113250626114551332138835560052495620289635687234536435668333010851433833118795523580753417488871635665052927620914078455668433976023717581292656482593167775379750912) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 b -4332296397063773/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728) (*.f64 x (pow.f64 z y)) (if (<=.f64 b -6373655913801205/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (neg.f64 (*.f64 x x)))) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 b 194999999999999999258311777577886754261510814149368351149228839250051684367889824209965853628736597715272052154328390071084244330409145488182870016) (*.f64 x (pow.f64 z y)) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b))))))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))) (if (<=.f64 x -6500000000000000000) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 x -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (/.f64 (neg.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 (*.f64 a b) 1/2))))) (if (<=.f64 x -6500000000000000000) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (if (<=.f64 x -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (/.f64 (*.f64 (*.f64 a a) (neg.f64 (*.f64 (*.f64 x x) (*.f64 b b)))) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) x))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 (*.f64 a b) 1/2))))) (if (<=.f64 x -6500000000000000000) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 x -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 x x) (neg.f64 (*.f64 b b)))) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) x))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 (*.f64 a b) 1/2))))) (if (<=.f64 x -6500000000000000000) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 x -8285774290710419/50216813883093446110686315385661331328818843555712276103168) (/.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 b b) (neg.f64 (*.f64 x x)))) (+.f64 x (*.f64 a (*.f64 x b)))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) x))))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 1/2 (*.f64 a b)))))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 (*.f64 a b) 1/2))))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (+.f64 x (*.f64 x (*.f64 (*.f64 a b) (+.f64 -1 (*.f64 (*.f64 a b) 1/2))))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (-.f64 x (*.f64 (*.f64 a b) x)) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 b x) (neg.f64 a)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (-.f64 x (*.f64 x (*.f64 a b))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (-.f64 x (*.f64 (neg.f64 a) (*.f64 x b)))) x))
(if (<=.f64 x -13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (-.f64 x (*.f64 x (*.f64 a b))) (if (<=.f64 x 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816) (/.f64 (*.f64 x x) (+.f64 x (*.f64 a (*.f64 x b)))) x))
(if (<=.f64 y -2600000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 b (*.f64 x (neg.f64 a)))))
(if (<=.f64 y -2600000000000000000) (*.f64 a (*.f64 x b)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 b (*.f64 x (neg.f64 a)))))
(if (<=.f64 y -13200000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 a (*.f64 x (neg.f64 b)))))
(if (<=.f64 y -13200000000000000000) (*.f64 a (*.f64 x b)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 a (*.f64 x (neg.f64 b)))))
(if (<=.f64 y -1520000000000000000000) (*.f64 a (*.f64 b x)) (if (<=.f64 y 8826904659509207/1298074214633706907132624082305024) x (*.f64 a (*.f64 b x))))
(if (or (<=.f64 y -1520000000000000000000) (not (<=.f64 y 8826904659509207/1298074214633706907132624082305024))) (*.f64 a (*.f64 x b)) x)
x
Compiler

Compiled 522 to 299 computations (42.7% saved)

soundness80.0ms (0.5%)

Algorithm
egg-herbie
Rules
1358×associate-/l*
1116×associate-*r/
800×unswap-sqr
776×associate-/r*
768×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02051
13749
27649
316649
442849
5139749
6368649
Stop Event
node limit
Compiler

Compiled 75 to 40 computations (46.7% saved)

end125.0ms (0.7%)

Compiler

Compiled 444 to 161 computations (63.7% saved)

Profiling

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