Details

Time bar (total: 4.2s)

analyze21.0ms (0.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
62.5%62.4%37.5%0.1%0%0%0%4
68.8%68.7%31.2%0.1%0%0%0%5
78.6%68.7%18.7%0.1%0%0%12.5%6
80%68.7%17.2%0.1%0%0%14%7
87.1%68.7%10.1%0.1%0%0%21.1%8
88.4%68.7%9%0.1%0%0%22.2%9
92.9%68.7%5.3%0.1%0%0%26%10
93.7%68.7%4.6%0.1%0%0%26.6%11
96.2%68.7%2.7%0.1%0%0%28.5%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.1s (26.2%)

Results
1.1s8256×body256valid
14.0ms170×body256unsamplable
Bogosity

preprocess15.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11026
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 b) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.7b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series7.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite51.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
793×add-log-exp_binary64
793×log1p-expm1-u_binary64
793×expm1-log1p-u_binary64
774×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
114721
2212221
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (exp.f64 a) (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))))))

simplify51.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
804×fma-def_binary64
623×associate-/r*_binary64
542×associate-/l*_binary64
483×unswap-sqr_binary64
300×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02342019
16291812
222151632
Stop Event
1×node limit
Counts
82 → 129
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(*.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 b (*.f64 b (-.f64 (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (*.f64 (-.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)))) (/.f64 (-.f64 (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a)))) (pow.f64 b 3)))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (+.f64 (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a)))) b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (+.f64 a (exp.f64 b)))
(+.f64 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 a (*.f64 a 1/2) 1))
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(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 1 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 a b)))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(*.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))
(/.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (exp.f64 a) 2)) (-.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(exp.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 a) (exp.f64 b))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 1 (exp.f64 b) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (exp.f64 b))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) (exp.f64 a))
(+.f64 1 (-.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 1))
(+.f64 (+.f64 (exp.f64 b) (exp.f64 a)) 0)
(+.f64 (exp.f64 b) (exp.f64 a))

eval76.0ms (1.8%)

Compiler

Compiled 3005 to 1513 computations (49.7% saved)

prune18.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1263129
Fresh000
Picked101
Done000
Total1273130
Error
0.2b
Counts
130 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶0.8b
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
✓0.0b
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.7b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 40 to 8 computations (80% saved)

series7.0ms (0.2%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
2.0ms
a
@0
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms
a
@0
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
b
@0
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
a
@inf
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))

rewrite76.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
923×pow1_binary64
855×add-log-exp_binary64
855×log1p-expm1-u_binary64
855×expm1-log1p-u_binary64
834×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
117028
2230728
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule 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*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))))))

simplify67.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
706×distribute-rgt-in_binary64
627×unswap-sqr_binary64
170×distribute-rgt-neg-out_binary64
170×fma-def_binary64
169×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02752860
17642739
229632579
Stop Event
1×node limit
Counts
98 → 127
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 2)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 a (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) 3)) (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (*.f64 (pow.f64 a 3) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (pow.f64 b 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 a) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (+.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (pow.f64 b 3) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1/6 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 6))))))) (+.f64 (*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (*.f64 -1 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (pow.f64 b 2))) (exp.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))))))
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (exp.f64 (*.f64 b 3)))) (+.f64 (pow.f64 (exp.f64 a) 2) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (exp.f64 a))) (neg.f64 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(-.f64 (+.f64 1 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 1)
(*.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(*.f64 1 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(pow.f64 (exp.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (exp.f64 1) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3)) (+.f64 (*.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (+.f64 (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b))))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(fma.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)) (*.f64 b b) (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (*.f64 b b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (pow.f64 b 3) (fma.f64 -1 (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (neg.f64 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 (neg.f64 (+.f64 (fma.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (/.f64 (*.f64 (exp.f64 a) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)) (+.f64 1 (exp.f64 a))))) (pow.f64 b 3) (fma.f64 (+.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) -1/2)) (*.f64 b b) (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))))
(+.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6))) b) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
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(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))
(+.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 0)
(exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 b))
✓0.0b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms
b
@inf
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.0ms
b
@0
(+.f64 1 (exp.f64 b))
0.0ms
b
@inf
(+.f64 1 (exp.f64 b))

rewrite58.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
596×pow1_binary64
554×add-log-exp_binary64
554×log1p-expm1-u_binary64
554×expm1-log1p-u_binary64
542×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112415
2156715
Stop Event
1×node limit
Counts
2 → 57
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 1 (exp.f64 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)))))

simplify48.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
627×unswap-sqr_binary64
384×div-sub_binary64
372×fma-def_binary64
317×fma-neg_binary64
279×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0141861
1351765
21213596
35893596
Stop Event
1×node limit
Counts
65 → 90
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(exp.f64 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (exp.f64 b) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/48 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 1 (/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 b))) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 b))) (/.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(*.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (/.f64 1 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 b))) -1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (neg.f64 (-.f64 1 (exp.f64 b))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(/.f64 (-.f64 (pow.f64 (exp.f64 b) 2) 1) (expm1.f64 b))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2)) (-.f64 1 (exp.f64 b)))
(/.f64 (expm1.f64 (+.f64 b b)) (expm1.f64 b))
(pow.f64 (+.f64 1 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 3)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) 2)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(exp.f64 (log1p.f64 (exp.f64 b)))
(fma.f64 1 (exp.f64 b) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 b)) 2) (cbrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))
(fma.f64 (sqrt.f64 (exp.f64 b)) (sqrt.f64 (exp.f64 b)) 1)
(+.f64 (+.f64 2 (exp.f64 b)) -1)
(+.f64 2 (-.f64 (exp.f64 b) 1))
(+.f64 2 (expm1.f64 b))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))

rewrite39.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
669×pow1_binary64
623×add-log-exp_binary64
623×log1p-expm1-u_binary64
623×expm1-log1p-u_binary64
610×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0611
112410
2167910
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))

simplify51.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
583×associate-/r/_binary64
535×fma-def_binary64
483×fma-neg_binary64
398×associate-*l*_binary64
351×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0108594
1273497
2799444
33895437
47232437
Stop Event
1×node limit
Counts
37 → 57
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(-.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(-.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) 1)))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a))))
(*.f64 (/.f64 (neg.f64 (expm1.f64 a)) (neg.f64 (expm1.f64 (+.f64 a a)))) (exp.f64 a))
(pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3) 1/3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 3)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) 2)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 a)) a)) -1)
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 a)) -1)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (neg.f64 (exp.f64 a)) (-.f64 -1 (exp.f64 a)))
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 3))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))
(+.f64 1 (-.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 1))
(+.f64 1 (expm1.f64 (-.f64 a (log1p.f64 (exp.f64 a)))))

eval194.0ms (4.7%)

Compiler

Compiled 9866 to 5639 computations (42.8% saved)

prune89.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3967403
Fresh000
Picked101
Done112
Total3988406
Error
0b
Counts
406 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.2b
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
▶41.2b
(/.f64 1 (+.f64 b 2))
✓11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
19.8b
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
▶40.3b
(+.f64 1/2 (*.f64 1/4 a))
▶41.4b
(+.f64 1/2 (*.f64 -1/4 b))
▶11.8b
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
40.2b
1/2
Compiler

Compiled 119 to 102 computations (14.3% saved)

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
✓0.0b
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
0.0b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓0.0b
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
0.0ms
b
@0
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
0.0ms
b
@inf
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
0.0ms
b
@-inf
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
0.0ms
b
@-inf
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))

rewrite43.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
665×pow1_binary64
616×add-log-exp_binary64
616×log1p-expm1-u_binary64
616×expm1-log1p-u_binary64
602×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
114720
2175220
Stop Event
1×node limit
Counts
2 → 48
Calls
Call 1
Inputs
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (sqrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))))

simplify70.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
553×associate-*l*_binary64
508×associate-*r*_binary64
442×fma-def_binary64
417×unswap-sqr_binary64
366×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0137802
1329778
21015706
35934706
Stop Event
1×node limit
Counts
64 → 76
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 1/2)
(+.f64 (exp.f64 1/2) (*.f64 -1/4 (*.f64 b (exp.f64 1/2))))
(+.f64 (exp.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (exp.f64 1/2))) (*.f64 1/32 (*.f64 (pow.f64 b 2) (exp.f64 1/2)))))
(+.f64 (exp.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (exp.f64 1/2))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 b 2) (exp.f64 1/2))) (*.f64 7/384 (*.f64 (pow.f64 b 3) (exp.f64 1/2))))))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 -1 (neg.f64 (+.f64 1 (exp.f64 b))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(-.f64 (+.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(*.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (E.f64) (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 3)
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)
(pow.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 1/2)
(+.f64 (exp.f64 1/2) (*.f64 -1/4 (*.f64 b (exp.f64 1/2))))
(fma.f64 (*.f64 -1/4 b) (exp.f64 1/2) (exp.f64 1/2))
(*.f64 (exp.f64 1/2) (fma.f64 -1/4 b 1))
(+.f64 (exp.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (exp.f64 1/2))) (*.f64 1/32 (*.f64 (pow.f64 b 2) (exp.f64 1/2)))))
(+.f64 (exp.f64 1/2) (fma.f64 -1/4 (*.f64 b (exp.f64 1/2)) (*.f64 1/32 (*.f64 (exp.f64 1/2) (*.f64 b b)))))
(+.f64 (exp.f64 1/2) (*.f64 (exp.f64 1/2) (+.f64 (*.f64 -1/4 b) (*.f64 1/32 (*.f64 b b)))))
(fma.f64 (exp.f64 1/2) (*.f64 b (+.f64 (*.f64 b 1/32) -1/4)) (exp.f64 1/2))
(+.f64 (exp.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 b (exp.f64 1/2))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 b 2) (exp.f64 1/2))) (*.f64 7/384 (*.f64 (pow.f64 b 3) (exp.f64 1/2))))))
(+.f64 (exp.f64 1/2) (fma.f64 -1/4 (*.f64 b (exp.f64 1/2)) (fma.f64 1/32 (*.f64 (exp.f64 1/2) (*.f64 b b)) (*.f64 7/384 (*.f64 (pow.f64 b 3) (exp.f64 1/2))))))
(+.f64 (exp.f64 1/2) (fma.f64 -1/4 (*.f64 b (exp.f64 1/2)) (*.f64 (exp.f64 1/2) (+.f64 (*.f64 1/32 (*.f64 b b)) (*.f64 (pow.f64 b 3) 7/384)))))
(fma.f64 (exp.f64 1/2) (*.f64 (*.f64 b b) (+.f64 1/32 (*.f64 b 7/384))) (*.f64 (exp.f64 1/2) (fma.f64 -1/4 b 1)))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (+.f64 1 (*.f64 (exp.f64 b) (expm1.f64 b))))
(/.f64 (fma.f64 (exp.f64 b) (expm1.f64 b) 1) (+.f64 1 (pow.f64 (exp.f64 b) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 b) 2)))
(/.f64 (-.f64 1 (exp.f64 b)) (-.f64 1 (pow.f64 (exp.f64 2) b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (neg.f64 (neg.f64 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (sqrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 -1 (neg.f64 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (+.f64 1 (exp.f64 b)) -1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 3))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(-.f64 (+.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 1 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(*.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (E.f64) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) 1/3)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 3)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (exp.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize7.0ms (0.2%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 b 2))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@inf
(/.f64 1 (+.f64 b 2))
1.0ms
b
@-inf
(/.f64 1 (+.f64 b 2))
0.0ms
b
@0
(/.f64 1 (+.f64 b 2))

rewrite47.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
611×pow1_binary64
573×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
215737
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 b 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))))))

simplify48.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
593×fma-neg_binary64
490×fma-def_binary64
324×fabs-mul_binary64
310×exp-prod_binary64
305×cube-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090474
1237409
2642346
32895340
46529340
Stop Event
1×node limit
Counts
34 → 56
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(pow.f64 (+.f64 b 2) -1)
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)))
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (/.f64 -8 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 2 (*.f64 b b)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (/.f64 4 (pow.f64 b 3)))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 1 b) (/.f64 -8 (pow.f64 b 4)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(/.f64 -1 (-.f64 -2 b))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) 8)) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(/.f64 (fma.f64 b b (+.f64 4 (*.f64 b -2))) (+.f64 (pow.f64 b 3) 8))
(/.f64 (fma.f64 b b (fma.f64 b -2 4)) (+.f64 (pow.f64 b 3) 8))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 (+.f64 b -2) (fma.f64 b b -4))
(pow.f64 (+.f64 b 2) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 b 2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 b 2)) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(/.f64 1 (+.f64 b 2))

localize15.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
✓0.3b
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
Compiler

Compiled 37 to 22 computations (40.5% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@0
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@-inf
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@inf
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
0.0ms
b
@-inf
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))

rewrite87.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
422×fma-def_binary64
359×exp-prod_binary64
306×pow-prod-down_binary64
271×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01029
122425
2297825
Stop Event
1×node limit
Counts
2 → 137
Calls
Call 1
Inputs
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -2) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 3)))) (#(struct:change #<rule 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((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 b 2) 2) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)) (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))) (#(struct:change #<rule egg-rr> 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b) (+.f64 b 2))))))

simplify79.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
710×fma-def_binary64
510×distribute-rgt-in_binary64
499×unswap-sqr_binary64
473×distribute-lft-in_binary64
203×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03452982
18492763
223932451
Stop Event
1×node limit
Counts
161 → 244
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 b 4)) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 0 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 1)
(*.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(*.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(*.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -2) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1)
(pow.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)
(pow.f64 (E.f64) (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3) -1/3)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 3)
(pow.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) 2)
(pow.f64 (exp.f64 -1) (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(pow.f64 (neg.f64 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))) (sqrt.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))))
(cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 3))
(exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1) 1))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 b 2) 2) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 1/4 (pow.f64 b 4)) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))
(*.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)
(*.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)) (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(*.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(*.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (/.f64 1 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2))))
(*.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4))) (/.f64 1 (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))))
(/.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)) (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))))
(/.f64 1 (/.f64 (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))))
(/.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(/.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2))
(/.f64 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1)
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)) (fma.f64 1/4 (pow.f64 b 4) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 (+.f64 b 2) (*.f64 b (*.f64 b 1/2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4))) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (neg.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) (neg.f64 (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b (*.f64 b 1/2) 2) 3)) (fma.f64 b b (-.f64 (pow.f64 (fma.f64 b (*.f64 b 1/2) 2) 2) (*.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (fma.f64 b (*.f64 b 1/2) 2) 2)) (-.f64 b (fma.f64 b (*.f64 b 1/2) 2)))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 b 4)) (pow.f64 (+.f64 b 2) 2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)))
(pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 1)
(pow.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) -1)
(pow.f64 (E.f64) (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3) 1/3)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -3) -1/3)
(pow.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) -3)
(pow.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 2)
(pow.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) -2)
(pow.f64 (/.f64 (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)) (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) -1)
(pow.f64 (/.f64 (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))) (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 2)) (cbrt.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) (sqrt.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(sqrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 2))
(log.f64 (exp.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (fma.f64 b (*.f64 b 1/2) 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 2))) (pow.f64 (sqrt.f64 (exp.f64 b)) b)))
(log.f64 (*.f64 (exp.f64 (+.f64 b 2)) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 b 2))) (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (exp.f64 (+.f64 b 2))))
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 b)) b) (+.f64 1 (expm1.f64 (+.f64 b 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b (*.f64 b 1/2)))) (+.f64 1 (expm1.f64 (+.f64 b 2)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 b (*.f64 b 1/2) 2)) (+.f64 1 (expm1.f64 b))))
(cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(log1p.f64 (expm1.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(exp.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1) 1))
(fma.f64 1 b (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 1 b (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2))
(fma.f64 1 (fma.f64 b (*.f64 b 1/2) 2) b)
(fma.f64 b 1 (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 b 1 (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 b (*.f64 b 1/2) (+.f64 b 2))
(fma.f64 (+.f64 b 2) 1 (*.f64 b (*.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 b 2))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 4) (*.f64 b 2))) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) 2) (cbrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) b)
(fma.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) (sqrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) b)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 b 2))
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b (+.f64 b 2))
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 b 2))
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 b 2))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 1/16 (pow.f64 b 3)))
(fma.f64 -1/4 b (fma.f64 1/16 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/32 (pow.f64 b 4)) (+.f64 (*.f64 1/16 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/32 (pow.f64 b 4) (fma.f64 1/16 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/32 (pow.f64 b 4) (*.f64 1/16 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/32 (pow.f64 b 4) (fma.f64 -1/4 b (fma.f64 1/16 (pow.f64 b 3) 1/2)))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))) (/.f64 -32 (pow.f64 b 6))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 16 (/.f64 1 (pow.f64 b 5)))) (+.f64 (*.f64 32 (/.f64 1 (pow.f64 b 6))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 16 (pow.f64 b 5)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 32 (pow.f64 b 6)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (+.f64 (/.f64 16 (pow.f64 b 5)) (/.f64 -4 (pow.f64 b 3))) (/.f64 -32 (pow.f64 b 6))))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 1/2 b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 b (*.f64 1/2 b) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(+.f64 0 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))) 1)
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(*.f64 1 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(*.f64 (/.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2))) 1)
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) -2)) (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/2 b 1) b 2) -2)) (cbrt.f64 (fma.f64 (fma.f64 1/2 b 1) b 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -2)) (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))) (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)) -2)) (cbrt.f64 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/2 b 1) b 2) -2)) (cbrt.f64 (fma.f64 (fma.f64 1/2 b 1) b 2)))
(*.f64 (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2) (pow.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)) -1/2))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 b (fma.f64 b (*.f64 b 1/2) 2)))))
(/.f64 1 (+.f64 b (fma.f64 b (*.f64 1/2 b) 2)))
(/.f64 1 (+.f64 b (fma.f64 1/2 (*.f64 b b) 2)))
(/.f64 1 (fma.f64 (fma.f64 1/2 b 1) b 2))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (fma.f64 (*.f64 b (*.f64 b 1/2)) (-.f64 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(*.f64 (/.f64 1 (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3))) (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) (+.f64 b 2)) (pow.f64 (+.f64 b 2) 2)))
(/.f64 (fma.f64 (*.f64 1/2 (*.f64 b b)) (-.f64 (-.f64 (*.f64 1/2 (*.f64 b b)) 2) b) (pow.f64 (+.f64 b 2) 2)) (fma.f64 1/8 (pow.f64 b 6) (pow.f64 (+.f64 b 2) 3)))
(/.f64 (fma.f64 1/2 (*.f64 (*.f64 b b) (fma.f64 1/2 (*.f64 b b) (-.f64 -2 b))) (pow.f64 (+.f64 b 2) 2)) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 (+.f64 b 2) 3)))
(*.f64 (/.f64 1 (-.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 1/4 (pow.f64 b 4)))) (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b))))
(/.f64 (*.f64 1 (+.f64 (+.f64 b 2) (*.f64 -1/2 (*.f64 b b)))) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 -1/2 (*.f64 b b) (+.f64 b 2)) (+.f64 (pow.f64 (+.f64 b 2) 2) (*.f64 -1/4 (pow.f64 b 4))))
(/.f64 (+.f64 2 (fma.f64 b (*.f64 b -1/2) b)) (fma.f64 -1/4 (pow.f64 b 4) (pow.f64 (+.f64 b 2) 2)))
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(fma.f64 1 (+.f64 b 2) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 1 (*.f64 b (*.f64 b 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 1 (fma.f64 b (*.f64 b 1/2) 2) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 b 1 (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 b 1 (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 b (*.f64 b 1/2) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (+.f64 b 2) 1 (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 1/2 (*.f64 b b) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 b b) 1/2 (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 b (*.f64 b 1/2)) 1 (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) (+.f64 b 2))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b 2))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) (*.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (cbrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) (*.f64 (cbrt.f64 (+.f64 b 2)) (cbrt.f64 (pow.f64 (+.f64 b 2) 2))))
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 (cbrt.f64 b) b) (*.f64 (pow.f64 (cbrt.f64 b) 2) 1/2) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (sqrt.f64 (+.f64 b 2)) (sqrt.f64 (+.f64 b 2)) (*.f64 b (*.f64 b 1/2)))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (fma.f64 b (*.f64 b 1/2) 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (+.f64 8 (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b 4) (*.f64 b 2))) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (+.f64 (pow.f64 b 3) 8) (/.f64 1 (-.f64 (fma.f64 b b 4) (*.f64 b 2))) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (+.f64 (pow.f64 b 3) 8) (/.f64 1 (+.f64 (fma.f64 b b 4) (*.f64 b -2))) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) (/.f64 (+.f64 (pow.f64 b 3) 8) (fma.f64 b -2 (fma.f64 b b 4))))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (*.f64 b (*.f64 b 1/2)))
(fma.f64 (fma.f64 b b -4) (/.f64 1 (+.f64 b -2)) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) (/.f64 (fma.f64 b b -4) (+.f64 b -2)))
(fma.f64 (*.f64 b 1/2) b (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) 2) (cbrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (sqrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) (sqrt.f64 (fma.f64 b (*.f64 b 1/2) 2)) b)
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (*.f64 b 1/2) 2))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (fabs.f64 (cbrt.f64 b)) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 b (cbrt.f64 b))) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (sqrt.f64 (*.f64 (cbrt.f64 b) b)) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (*.f64 (fma.f64 b (*.f64 b 1/2) 2) 1))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (sqrt.f64 (pow.f64 (cbrt.f64 b) 2)) (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (sqrt.f64 (*.f64 b (cbrt.f64 b))) (fabs.f64 (cbrt.f64 b)) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (cbrt.f64 b) (sqrt.f64 (*.f64 b (cbrt.f64 b))) (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (*.f64 1/2 (*.f64 (cbrt.f64 b) b)) (pow.f64 (cbrt.f64 b) 2) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 (*.f64 b 1/2) 1) b (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 (*.f64 b 1/2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 (*.f64 (*.f64 b 1/2) (sqrt.f64 b)) (sqrt.f64 b) (+.f64 b 2))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (fma.f64 1/2 (*.f64 b b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)

eval178.0ms (4.3%)

Compiler

Compiled 6944 to 5182 computations (25.4% saved)

prune125.0ms (3%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New4624466
Fresh022
Picked011
Done055
Total46212474
Error
0b
Counts
474 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
▶53.1b
(/.f64 2 (*.f64 b b))
✓32.2b
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
▶52.8b
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
✓41.2b
(/.f64 1 (+.f64 b 2))
✓11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶61.8b
(/.f64 1 b)
▶19.8b
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
▶23.8b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓40.3b
(+.f64 1/2 (*.f64 1/4 a))
✓41.4b
(+.f64 1/2 (*.f64 -1/4 b))
✓11.8b
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
40.2b
1/2
Compiler

Compiled 143 to 119 computations (16.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (exp.f64 a))
✓0.0b
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
Compiler

Compiled 24 to 16 computations (33.3% saved)

series4.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@inf
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
1.0ms
a
@-inf
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
1.0ms
a
@0
(/.f64 -1 (exp.f64 a))
0.0ms
a
@inf
(/.f64 -1 (exp.f64 a))
0.0ms
a
@-inf
(/.f64 -1 (exp.f64 a))

rewrite50.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
784×pow1_binary64
725×add-log-exp_binary64
724×log1p-expm1-u_binary64
724×expm1-log1p-u_binary64
710×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0718
115218
2201018
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
(/.f64 -1 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 (neg.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2) (/.f64 -1 (cbrt.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 a) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (exp.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) a))))))

simplify48.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
569×fma-neg_binary64
423×log-prod_binary64
420×cancel-sign-sub-inv_binary64
384×associate-*l*_binary64
363×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0123699
1289598
2849585
34460578
Stop Event
1×node limit
Counts
60 → 82
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
-1
(-.f64 a 1)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1)
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 1)
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)
(*.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)
(*.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1)
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 (neg.f64 a)))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1))
(pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)
(pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1)
(pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1)
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2)))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(-.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1)
(*.f64 -1 (exp.f64 (neg.f64 a)))
(*.f64 (/.f64 -1 (exp.f64 a)) 1)
(*.f64 1 (/.f64 -1 (exp.f64 a)))
(*.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2) (/.f64 -1 (cbrt.f64 (exp.f64 a))))
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))
(*.f64 (exp.f64 (neg.f64 a)) -1)
(pow.f64 (/.f64 -1 (exp.f64 a)) 1)
(pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)
(pow.f64 (neg.f64 (exp.f64 a)) -1)
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)
(pow.f64 (*.f64 (exp.f64 a) -1) -1)
(neg.f64 (exp.f64 (neg.f64 a)))
(sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)))
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a))))
(exp.f64 (-.f64 (log.f64 -1) a))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(/.f64 1 (+.f64 1 (/.f64 1 (exp.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
-1
(-.f64 a 1)
(+.f64 a -1)
(-.f64 (+.f64 a (*.f64 -1/2 (pow.f64 a 2))) 1)
(+.f64 a (-.f64 (*.f64 -1/2 (*.f64 a a)) 1))
(+.f64 a (fma.f64 -1/2 (*.f64 a a) -1))
(+.f64 a (fma.f64 a (*.f64 a -1/2) -1))
(-.f64 (+.f64 a (+.f64 (*.f64 -1/2 (pow.f64 a 2)) (*.f64 1/6 (pow.f64 a 3)))) 1)
(+.f64 a (-.f64 (fma.f64 -1/2 (*.f64 a a) (*.f64 (pow.f64 a 3) 1/6)) 1))
(+.f64 -1 (+.f64 a (fma.f64 (pow.f64 a 3) 1/6 (*.f64 (*.f64 -1/2 a) a))))
(+.f64 a (fma.f64 a (*.f64 a -1/2) (fma.f64 (pow.f64 a 3) 1/6 -1)))
(+.f64 a (fma.f64 (*.f64 a a) (+.f64 (*.f64 a 1/6) -1/2) -1))
(-.f64 (+.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 1 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))) (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 (neg.f64 a)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 (neg.f64 a))))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 -1 (-.f64 (exp.f64 (neg.f64 a)) (exp.f64 (-.f64 (neg.f64 a) a)))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (-.f64 (expm1.f64 (neg.f64 a)) (exp.f64 (-.f64 (neg.f64 a) a))) (+.f64 -1 (/.f64 -1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 -1 (+.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)) -1)) (+.f64 (/.f64 -1 (exp.f64 a)) 1))
(*.f64 (/.f64 -1 (+.f64 -1 (/.f64 1 (pow.f64 (exp.f64 a) 2)))) (+.f64 1 (/.f64 -1 (exp.f64 a))))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (+.f64 -1 (/.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 -1 (exp.f64 (neg.f64 a))) (+.f64 -1 (exp.f64 (-.f64 (neg.f64 a) a))))
(/.f64 (expm1.f64 (neg.f64 a)) (+.f64 -1 (exp.f64 (-.f64 (neg.f64 a) a))))
(pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3) 1/3)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 3)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))) 2)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(pow.f64 (+.f64 1 (neg.f64 (/.f64 -1 (exp.f64 a)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(pow.f64 (*.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) -1) -1)
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(neg.f64 (/.f64 1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 -1 (/.f64 -1 (exp.f64 a))) 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) -2))
(fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(log.f64 (exp.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a)))) 3))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(exp.f64 (log.f64 (/.f64 -1 (+.f64 -1 (/.f64 -1 (exp.f64 a))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (expm1.f64 (-.f64 (log.f64 -1) a)))
(-.f64 (-.f64 1 (exp.f64 (neg.f64 a))) 1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 -1 (exp.f64 (neg.f64 a)))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 (/.f64 -1 (exp.f64 a)) 1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 1 (/.f64 -1 (exp.f64 a)))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 2) (/.f64 -1 (cbrt.f64 (exp.f64 a))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) (sqrt.f64 (/.f64 -1 (exp.f64 a))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(*.f64 (exp.f64 (neg.f64 a)) -1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (/.f64 -1 (exp.f64 a)) 1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (/.f64 -1 (cbrt.f64 (exp.f64 a))) 3)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (sqrt.f64 (/.f64 -1 (exp.f64 a))) 2)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (neg.f64 (exp.f64 a)) -1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(pow.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)) 1/3)
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(pow.f64 (*.f64 (exp.f64 a) -1) -1)
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(neg.f64 (exp.f64 (neg.f64 a)))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(sqrt.f64 (/.f64 1 (pow.f64 (exp.f64 a) 2)))
(sqrt.f64 (exp.f64 (-.f64 (neg.f64 a) a)))
(log.f64 (exp.f64 (/.f64 -1 (exp.f64 a))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(cbrt.f64 (/.f64 -1 (pow.f64 (exp.f64 a) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (exp.f64 a))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(log1p.f64 (expm1.f64 (/.f64 -1 (exp.f64 a))))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))
(exp.f64 (-.f64 (log.f64 -1) a))
(+.f64 (-.f64 1 (exp.f64 (neg.f64 a))) -1)
(/.f64 -1 (exp.f64 a))

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 2 (*.f64 b b))
Compiler

Compiled 12 to 6 computations (50% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@0
(/.f64 2 (*.f64 b b))
0.0ms
b
@inf
(/.f64 2 (*.f64 b b))
0.0ms
b
@-inf
(/.f64 2 (*.f64 b b))

rewrite41.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
479×add-sqr-sqrt_binary64
458×add-log-exp_binary64
458×log1p-expm1-u_binary64
458×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212977
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (*.f64 b b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 b b) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))))))

simplify34.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
614×log-prod_binary64
557×associate-/r*_binary64
323×associate-*l*_binary64
305×associate-*r*_binary64
299×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054233
1125233
2406233
32601233
Stop Event
1×node limit
Counts
33 → 24
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (pow.f64 b 2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(*.f64 2 (pow.f64 b -2))
(*.f64 (/.f64 2 (*.f64 b b)) 1)
(*.f64 1 (/.f64 2 (*.f64 b b)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))
(*.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b))))
(*.f64 (pow.f64 b -2) 2)
(*.f64 (/.f64 2 b) (/.f64 1 b))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)
(pow.f64 (/.f64 (sqrt.f64 2) b) 2)
(pow.f64 (*.f64 (*.f64 b b) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 b 4)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))
Outputs
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(-.f64 (+.f64 1 (/.f64 2 (*.f64 b b))) 1)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 2 (pow.f64 b -2))
(/.f64 2 (*.f64 b b))
(*.f64 (/.f64 2 (*.f64 b b)) 1)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 1 (/.f64 2 (*.f64 b b)))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) (cbrt.f64 (/.f64 4 (pow.f64 b 4))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 b 4))) (cbrt.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 (/.f64 (sqrt.f64 2) b) (/.f64 (sqrt.f64 2) b))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 -2 (/.f64 1 (*.f64 b (neg.f64 b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 (pow.f64 b -2) 2)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(*.f64 (/.f64 2 b) (/.f64 1 b))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(pow.f64 (/.f64 2 (*.f64 b b)) 1)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(pow.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3) 1/3)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 b b))) 3)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(pow.f64 (/.f64 (sqrt.f64 2) b) 2)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(pow.f64 (*.f64 (*.f64 b b) 1/2) -1)
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(sqrt.f64 (/.f64 4 (pow.f64 b 4)))
(sqrt.f64 (*.f64 4 (pow.f64 b -4)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 b b)) 3))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))
(exp.f64 (log.f64 (/.f64 2 (*.f64 b b))))
(/.f64 2 (*.f64 b b))
(*.f64 2 (pow.f64 b -2))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 1 (+.f64 b 2)))
0.0b
(/.f64 1 (+.f64 b 2))
✓3.0b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
0.0ms
b
@inf
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
0.0ms
b
@inf
(+.f64 1 (/.f64 1 (+.f64 b 2)))
0.0ms
b
@0
(+.f64 1 (/.f64 1 (+.f64 b 2)))
0.0ms
b
@-inf
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)

rewrite58.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
945×pow1_binary64
890×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
119017
2269117
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 b 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 b 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -2 (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -2 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (-.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b 2) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))) (/.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)))))

simplify55.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
838×times-frac_binary64
486×distribute-rgt-in_binary64
429×distribute-lft-in_binary64
414×cancel-sign-sub-inv_binary64
367×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02211702
15431643
218661639
Stop Event
1×node limit
Counts
108 → 149
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1))
(+.f64 (/.f64 1 (+.f64 b 2)) 0)
(+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)
(+.f64 -1 (+.f64 1 (/.f64 1 (+.f64 b 2))))
(+.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 1)
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))))
(*.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 b))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 b 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 b 2)) -1) (pow.f64 (sqrt.f64 (+.f64 b 2)) -1))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (fma.f64 b b (-.f64 4 (*.f64 b 2))))
(*.f64 (/.f64 1 (fma.f64 b b -4)) (+.f64 b -2))
(/.f64 1 (+.f64 b 2))
(/.f64 1 (neg.f64 (+.f64 -2 (neg.f64 b))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)))
(/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))
(/.f64 -1 (+.f64 -2 (neg.f64 b)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1)) (+.f64 (/.f64 1 (+.f64 b 2)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 b 2)) -1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))) (-.f64 1 (+.f64 (/.f64 1 (+.f64 b 2)) -1)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2)))
(pow.f64 (+.f64 b 2) -1)
(pow.f64 (/.f64 1 (+.f64 b 2)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) 3)
(pow.f64 (pow.f64 (+.f64 b 2) -1/2) 2)
(pow.f64 (pow.f64 (+.f64 b 2) -3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 b 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 b 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 b 2)))))
(cbrt.f64 (pow.f64 (+.f64 b 2) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 b 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 b 2))))
(fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) -1)
(-.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))) (/.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(*.f64 1 (+.f64 1 (/.f64 1 (+.f64 b 2))))
(*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8)))
(+.f64 1/2 (*.f64 b (+.f64 -1/4 (*.f64 1/8 b))))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 -1/4 b 1/2) (*.f64 b (*.f64 b 1/8))))
(+.f64 (*.f64 b (+.f64 -1/4 (*.f64 1/8 b))) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
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(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
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(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -8 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 3/2)
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2))
(+.f64 (*.f64 b (+.f64 -1/4 (*.f64 1/8 b))) 3/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
(+.f64 (*.f64 b (+.f64 -1/4 (*.f64 1/8 b))) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
1
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(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (/.f64 1 b)) (/.f64 2 (*.f64 b b)))
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(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (-.f64 1 (/.f64 2 (*.f64 b b))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 1 (/.f64 -2 (*.f64 b b))))
1
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(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (/.f64 1 b)) (/.f64 2 (*.f64 b b)))
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(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))))
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(/.f64 1 (+.f64 b 2))
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(/.f64 1 (+.f64 b 2))
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(/.f64 1 (+.f64 b 2))
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(/.f64 1 (+.f64 b 2))
(*.f64 1 (/.f64 1 (+.f64 b 2)))
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (+.f64 b 2)) 1)
(/.f64 1 (+.f64 b 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 b 2))) (cbrt.f64 (pow.f64 (+.f64 b 2) -2)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (+.f64 2 (/.f64 1 (+.f64 b 2))))
(/.f64 (pow.f64 (+.f64 b 2) -1/2) (sqrt.f64 (+.f64 b 2)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 2 (/.f64 1 (+.f64 b 2))))))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) (+.f64 2 (/.f64 1 (+.f64 b 2))))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (+.f64 (/.f64 1 (+.f64 b 2)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (+.f64 2 (/.f64 1 (+.f64 b 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (/.f64 1 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (+.f64 2 (/.f64 1 (+.f64 b 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) (+.f64 (/.f64 1 (+.f64 b 2)) 2))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
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(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2)) (+.f64 2 (/.f64 1 (+.f64 b 2))))
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(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b 2)) 2)) (cbrt.f64 (+.f64 b 2)))
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(/.f64 1 (+.f64 b 2))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))) (+.f64 1 (pow.f64 (+.f64 b 2) -3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 -1 (-.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 b 2))) (-.f64 1 (pow.f64 (+.f64 b 2) -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 -1 (-.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 (pow.f64 (+.f64 b 2) -2) (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 -1 (-.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 -1 (-.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 b 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(/.f64 (-.f64 (pow.f64 (+.f64 b 2) -2) 1) (+.f64 (/.f64 1 (+.f64 b 2)) -1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 1 (+.f64 b 2)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 b 2) -3)) (+.f64 1 (+.f64 (pow.f64 (+.f64 b 2) -2) (/.f64 -1 (+.f64 b 2)))))
(/.f64 (-.f64 -1 (pow.f64 (+.f64 b 2) -3)) (+.f64 -1 (-.f64 (/.f64 1 (+.f64 b 2)) (pow.f64 (+.f64 b 2) -2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (-.f64 1 (/.f64 1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 -1 (+.f64 b 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 b 2) -2)) (+.f64 1 (/.f64 1 (-.f64 -2 b))))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))) 3)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 b 2) -1/2)) 2)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3) 1/3)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 2))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 3))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 b 2)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (/.f64 1 (+.f64 b 2)))))
(log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 b 2)))))
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(exp.f64 (log1p.f64 (/.f64 1 (+.f64 b 2))))
(fma.f64 1 (/.f64 1 (+.f64 b 2)) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 b 2))) 1)
(+.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b 2) -2)) (cbrt.f64 (+.f64 b 2))))
(fma.f64 (pow.f64 (+.f64 b 2) -1/2) (pow.f64 (+.f64 b 2) -1/2) 1)
(+.f64 1 (/.f64 1 (+.f64 b 2)))

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 b (*.f64 1/2 (*.f64 b b)))
✓0.3b
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
Compiler

Compiled 29 to 15 computations (48.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
b
@0
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@inf
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@inf
(+.f64 b (*.f64 1/2 (*.f64 b b)))
0.0ms
b
@-inf
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
0.0ms
b
@0
(+.f64 b (*.f64 1/2 (*.f64 b b)))

rewrite50.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
841×pow1_binary64
786×add-log-exp_binary64
785×log1p-expm1-u_binary64
785×expm1-log1p-u_binary64
769×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
117219
2225019
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 b (*.f64 1/2 (*.f64 b b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/2 (*.f64 b b) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 (*.f64 b 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (+.f64 1 (*.f64 b 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 b 1/2) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/2 (*.f64 b b) b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (*.f64 1/2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 b b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1/2 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b 1/2) b b)))))

simplify60.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
739×fma-neg_binary64
633×unswap-sqr_binary64
406×fma-def_binary64
368×associate-/r*_binary64
280×associate-/l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01751369
14521218
215251164
375931163
Stop Event
1×node limit
Counts
90 → 114
Calls
Call 1
Inputs
(/.f64 1 b)
(-.f64 (/.f64 1 b) 1/2)
(-.f64 (+.f64 (*.f64 1/4 b) (/.f64 1 b)) 1/2)
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (+.f64 (*.f64 1/4 b) (/.f64 1 b))) 1/2)
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 b 5))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 b 5))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(*.f64 1/2 (pow.f64 b 2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))
(*.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1)
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) 3)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b))))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(*.f64 b (+.f64 (*.f64 b 1/2) 1))
(*.f64 b (+.f64 1 (*.f64 b 1/2)))
(*.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(*.f64 (+.f64 (*.f64 b 1/2) 1) b)
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))
(/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))
(/.f64 (neg.f64 (fma.f64 1/2 (*.f64 b b) b)) -1)
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/2))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 (*.f64 b 1/2) b b)
Outputs
(/.f64 1 b)
(-.f64 (/.f64 1 b) 1/2)
(+.f64 (/.f64 1 b) -1/2)
(-.f64 (+.f64 (*.f64 1/4 b) (/.f64 1 b)) 1/2)
(+.f64 (fma.f64 1/4 b (/.f64 1 b)) -1/2)
(+.f64 (fma.f64 b 1/4 (/.f64 1 b)) -1/2)
(+.f64 (/.f64 1 b) (fma.f64 b 1/4 -1/2))
(-.f64 (+.f64 (*.f64 -1/8 (pow.f64 b 2)) (+.f64 (*.f64 1/4 b) (/.f64 1 b))) 1/2)
(+.f64 (fma.f64 -1/8 (*.f64 b b) (fma.f64 1/4 b (/.f64 1 b))) -1/2)
(+.f64 (fma.f64 -1/8 (*.f64 b b) (fma.f64 b 1/4 (/.f64 1 b))) -1/2)
(+.f64 (fma.f64 b 1/4 (/.f64 1 b)) (fma.f64 -1/8 (*.f64 b b) -1/2))
(+.f64 (/.f64 1 b) (fma.f64 b (+.f64 1/4 (*.f64 b -1/8)) -1/2))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 8 (pow.f64 b 4)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 8 (pow.f64 b 4)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 8 (pow.f64 b 4)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 b 5))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 16 (pow.f64 b 5))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 8 (pow.f64 b 4)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 16 (pow.f64 b 5)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 8 (pow.f64 b 4)) (-.f64 (/.f64 -16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3)))))
(/.f64 2 (pow.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (*.f64 4 (/.f64 1 (pow.f64 b 3))))
(+.f64 (/.f64 8 (pow.f64 b 4)) (-.f64 (/.f64 2 (*.f64 b b)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 8 (pow.f64 b 4)) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 8 (pow.f64 b 4)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 b 4))) (*.f64 2 (/.f64 1 (pow.f64 b 2)))) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 b 5))) (*.f64 4 (/.f64 1 (pow.f64 b 3)))))
(-.f64 (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 16 (pow.f64 b 5))))
(+.f64 (/.f64 2 (*.f64 b b)) (-.f64 (/.f64 8 (pow.f64 b 4)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 16 (pow.f64 b 5)))))
(+.f64 (/.f64 2 (*.f64 b b)) (+.f64 (/.f64 8 (pow.f64 b 4)) (-.f64 (/.f64 -16 (pow.f64 b 5)) (/.f64 4 (pow.f64 b 3)))))
b
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 b (*.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 1/2 (pow.f64 b 2))
(*.f64 1/2 (*.f64 b b))
(*.f64 b (*.f64 b 1/2))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(+.f64 b (*.f64 1/2 (pow.f64 b 2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) -2)) (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) (cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) -2)) (cbrt.f64 (*.f64 b (fma.f64 b 1/2 1))))
(*.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3)))))
(/.f64 (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))) (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)))
(*.f64 (/.f64 1 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (*.f64 1 (+.f64 b (*.f64 (*.f64 b b) -1/2))) (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))))
(/.f64 (fma.f64 (*.f64 b b) -1/2 b) (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)))
(*.f64 (fma.f64 b -1/2 1) (/.f64 b (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b))))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1))
(+.f64 (/.f64 1 (*.f64 b (fma.f64 b 1/2 1))) 0)
(/.f64 1 (*.f64 b (fma.f64 b 1/2 1)))
(-.f64 (+.f64 1 (fma.f64 1/2 (*.f64 b b) b)) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b (*.f64 -1/2 (*.f64 b b)))) (/.f64 (*.f64 (pow.f64 b 4) 1/4) (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(*.f64 1 (fma.f64 1/2 (*.f64 b b) b))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 b (+.f64 (*.f64 b 1/2) 1))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 b (+.f64 1 (*.f64 b 1/2)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(*.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (/.f64 1 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(*.f64 (+.f64 (*.f64 b 1/2) 1) b)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(/.f64 1 (/.f64 1 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(/.f64 1 (/.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))) (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 1 (/.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(/.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b))))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(/.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) (pow.f64 (fma.f64 1/2 (*.f64 b b) b) -1/2))
(/.f64 (sqrt.f64 (*.f64 b (fma.f64 b 1/2 1))) (pow.f64 (*.f64 b (fma.f64 b 1/2 1)) -1/2))
(/.f64 (neg.f64 (fma.f64 1/2 (*.f64 b b) b)) -1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2))))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (+.f64 (*.f64 (pow.f64 b 4) 1/4) (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/2))))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4)) (+.f64 b (*.f64 -1/2 (*.f64 b b))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(/.f64 (neg.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 (pow.f64 b 3) 1/2)))))
(*.f64 (+.f64 (pow.f64 b 3) (*.f64 (pow.f64 (*.f64 b b) 3) 1/8)) (/.f64 1 (fma.f64 b b (-.f64 (*.f64 1/4 (pow.f64 b 4)) (*.f64 1/2 (pow.f64 b 3))))))
(/.f64 (fma.f64 (pow.f64 b 6) 1/8 (pow.f64 b 3)) (fma.f64 b b (fma.f64 1/4 (pow.f64 b 4) (*.f64 (pow.f64 b 3) -1/2))))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 (pow.f64 b 4) 1/4))) (neg.f64 (+.f64 b (*.f64 -1/2 (*.f64 b b)))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(/.f64 (-.f64 (*.f64 (pow.f64 b 4) 1/4) (*.f64 b b)) (-.f64 (*.f64 1/2 (*.f64 b b)) b))
(/.f64 (-.f64 (*.f64 b b) (*.f64 1/4 (pow.f64 b 4))) (+.f64 b (*.f64 (*.f64 b b) -1/2)))
(/.f64 (fma.f64 b b (*.f64 (pow.f64 b 4) -1/4)) (fma.f64 (*.f64 b b) -1/2 b))
(/.f64 (fma.f64 (pow.f64 b 4) -1/4 (*.f64 b b)) (fma.f64 b (*.f64 b -1/2) b))
(pow.f64 (fma.f64 1/2 (*.f64 b b) b) 1)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3) 1/3)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 3)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 b b) b)) 2)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 2))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(log.f64 (exp.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 b b) b) 3))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 b (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1 (*.f64 1/2 (*.f64 b b)) b)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b b) 1/2 b)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 1/4)) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 1/2 (*.f64 b b))) b)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 b 4))) (cbrt.f64 (*.f64 b (*.f64 b 1/2))) b)
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b (sqrt.f64 1/2)) (*.f64 b (sqrt.f64 1/2)) b)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (*.f64 1/2 (*.f64 b b)))
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))
(fma.f64 (*.f64 b 1/2) b b)
(fma.f64 1/2 (*.f64 b b) b)
(*.f64 b (fma.f64 b 1/2 1))

eval135.0ms (3.3%)

Compiler

Compiled 5849 to 4520 computations (22.7% saved)

prune72.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4223425
Fresh011
Picked101
Done6410
Total4298437
Error
0b
Counts
437 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
19.8b
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
✓11.8b
(/.f64 1 (+.f64 1 (exp.f64 b)))
41.4b
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
31.5b
(-.f64 1 1)
✓40.3b
(+.f64 1/2 (*.f64 1/4 a))
✓41.4b
(+.f64 1/2 (*.f64 -1/4 b))
✓11.8b
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
40.2b
1/2
Compiler

Compiled 58 to 52 computations (10.3% saved)

regimes32.0ms (0.8%)

Counts
18 → 1
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

10.0ms
a
9.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.8b1a
0.8b1b
0.8b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.8b1(exp.f64 a)
0.8b1(exp.f64 b)
Compiler

Compiled 143 to 96 computations (32.9% saved)

regimes57.0ms (1.4%)

Counts
16 → 3
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 -1 (+.f64 (/.f64 -1 (exp.f64 a)) -1))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

26.0ms
b
16.0ms
a
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.6b2a
0.3b3b
0.6b2(exp.f64 a)
0.3b3(exp.f64 b)
Compiler

Compiled 115 to 86 computations (25.2% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.000000000132457
1.0000000011824937
0.0ms
0.9999999999999962
1.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes52.0ms (1.2%)

Counts
12 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

3 calls:

32.0ms
b
13.0ms
a
3.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.6b2a
9.3b5b
11.8b1(exp.f64 b)
Compiler

Compiled 81 to 61 computations (24.7% saved)

bsearch17.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
17.0ms
-12785535.606608829
-52.54573863991068
Results
15.0ms144×body256valid
Compiler

Compiled 150 to 136 computations (9.3% saved)

regimes55.0ms (1.3%)

Counts
11 → 2
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 1 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(/.f64 1 (+.f64 (+.f64 b 2) (*.f64 1/2 (*.f64 b b))))
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

2 calls:

35.0ms
b
17.0ms
a
Results
ErrorSegmentsBranch
11.7b2a
18.1b6b
Compiler

Compiled 71 to 53 computations (25.4% saved)

bsearch28.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
27.0ms
-12785535.606608829
-52.54573863991068
Results
14.0ms144×body256valid
Compiler

Compiled 177 to 163 computations (7.9% saved)

regimes39.0ms (0.9%)

Counts
8 → 6
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 b 2))
(/.f64 2 (*.f64 b b))
(-.f64 (+.f64 (*.f64 -1/4 b) 3/2) 1)
Outputs
1/2
(-.f64 1 1)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1 1)
Calls

2 calls:

27.0ms
b
10.0ms
a
Results
ErrorSegmentsBranch
20.0b2a
18.1b6b
Compiler

Compiled 42 to 33 computations (21.4% saved)

bsearch71.0ms (1.7%)

Algorithm
5×binary-search
Steps
TimeLeftRight
17.0ms
0.06154581552059917
5900.092145954627
13.0ms
6.662183433964375e-151
2.2223125863033654e-148
15.0ms
1.3966653429819012e-187
7.594370180661826e-184
14.0ms
-1.643372426105121e-284
-3.377876741650956e-286
12.0ms
-1.7102204067328413e-191
-1.4465646095078519e-193
Results
62.0ms624×body256valid
Compiler

Compiled 533 to 496 computations (6.9% saved)

regimes28.0ms (0.7%)

Counts
4 → 6
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
Outputs
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1 1)
Calls

2 calls:

20.0ms
b
7.0ms
a
Results
ErrorSegmentsBranch
20.1b2a
18.2b6b
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch69.0ms (1.7%)

Algorithm
5×binary-search
Steps
TimeLeftRight
16.0ms
0.06154581552059917
5900.092145954627
14.0ms
6.662183433964375e-151
2.2223125863033654e-148
15.0ms
1.3966653429819012e-187
7.594370180661826e-184
12.0ms
-1.643372426105121e-284
-3.377876741650956e-286
11.0ms
-1.7102204067328413e-191
-1.4465646095078519e-193
Results
61.0ms624×body256valid
Compiler

Compiled 473 to 451 computations (4.7% saved)

regimes25.0ms (0.6%)

Accuracy

Total -44.1b remaining (-240.3%)

Threshold costs -44.1b (-240.3%)

Counts
3 → 6
Calls
Call 1
Inputs
1/2
(-.f64 1 1)
(/.f64 1 b)
Outputs
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
Calls

2 calls:

18.0ms
b
7.0ms
a
Results
ErrorSegmentsBranch
20.1b2a
18.3b6b
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch64.0ms (1.5%)

Algorithm
5×binary-search
Steps
TimeLeftRight
12.0ms
2.6341058484333236e-12
1.3245700987528308e-10
14.0ms
6.662183433964375e-151
2.2223125863033654e-148
13.0ms
1.3966653429819012e-187
7.594370180661826e-184
12.0ms
-1.643372426105121e-284
-3.377876741650956e-286
12.0ms
-1.7102204067328413e-191
-1.4465646095078519e-193
Results
56.0ms592×body256valid
Compiler

Compiled 385 to 380 computations (1.3% saved)

simplify12.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
075221
190221
293221
394221
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 281474976992131/281474976710656) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -740) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b -770527719953375/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 607985949695017/2251799813685248) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 4975428362386363/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) 1/2 (if (<=.f64 b 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 607985949695017/1125899906842624) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) 1/2 (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 7118155225890937/618970019642690137449562112) 1/2 (-.f64 1 1))))))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 281474976992131/281474976710656) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 1) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 281474976992131/281474976710656) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 a -740) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -740) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -350) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -350) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b -770527719953375/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 607985949695017/2251799813685248) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))
(if (<=.f64 b -770527719953375/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) 0 (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) (+.f64 1/2 (*.f64 a 1/4)) (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) 0 (if (<=.f64 b 607985949695017/2251799813685248) (+.f64 1/2 (*.f64 b -1/4)) 0)))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 4975428362386363/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) 1/2 (if (<=.f64 b 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 607985949695017/1125899906842624) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1))))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) 0 (if (<=.f64 b 4975428362386363/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952) 1/2 (if (<=.f64 b 2948408144391829/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) 0 (if (<=.f64 b 607985949695017/1125899906842624) (+.f64 1/2 (*.f64 b -1/4)) 0)))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) (-.f64 1 1) (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) 1/2 (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (-.f64 1 1) (if (<=.f64 b 7118155225890937/618970019642690137449562112) 1/2 (-.f64 1 1))))))
(if (<=.f64 b -6575169876935467/41094811730846668025320233460001005199612029709556045777330319555224469955445943922763019814668659775210804444188892325882964314454560967680686052895717819140275184930690973423372373108471271228681978529185792) 1/2 (if (<=.f64 b -5357543035931337/334846439745708537796382827831250565800439003657979252326171996365734703476542538279124493379904955664873335286735358382870982901778848138624518049209330462622955242963257218294408581408199098183686068192282702343236935664606211486223923248314908216080349889927704442739388432239144512088662677127168) 0 (if (<=.f64 b 1794024649898929/2392032866531905486790942578809394338145620987608332988883503686824375178865503049616412016019962016447144819201720664620106359620960485637227891297994520232330261783830994590149049944504587400511488) 1/2 (if (<=.f64 b 2506146922733055/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) 0 (if (<=.f64 b 7118155225890937/618970019642690137449562112) 1/2 0)))))
1/2
Compiler

Compiled 169 to 135 computations (20.1% saved)

soundness91.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
627×unswap-sqr_binary64
384×div-sub_binary64
372×fma-def_binary64
317×fma-neg_binary64
279×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0141861
1351765
21213596
35893596
Stop Event
1×node limit
Compiler

Compiled 10 to 8 computations (20% saved)

end117.0ms (2.8%)

Compiler

Compiled 155 to 119 computations (23.2% saved)

Profiling

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