Details

Time bar (total: 4.0s)

analyze21.0ms (0.5%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
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 (26.5%)

Results
1.0s8256×body256valid
23.0ms192×body256unsamplable
Bogosity

preprocess16.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0926
11026
022
Stop Event
saturated
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)

simplify9.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
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
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@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)))

rewrite52.0ms (1.3%)

Algorithm
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
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))))))

simplify55.0ms (1.4%)

Algorithm
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
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))

eval47.0ms (1.2%)

Compiler

Compiled 3005 to 1513 computations (49.7% saved)

prune30.0ms (0.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1236129
Fresh000
Picked101
Done000
Total1246130
Error
0.2b
Counts
130 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
0.8b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
1.1b
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
21.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
11.7b
(/.f64 1 (+.f64 1 (exp.f64 b)))
0.8b
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.8b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Compiler

Compiled 130 to 92 computations (29.2% saved)

localize13.0ms (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 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
1.7b
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
3.7b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series103.0ms (2.6%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
31.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
22.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
12.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
6.0ms
b
@0
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite74.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
814×prod-diff_binary64
461×log-prod_binary64
327×fma-def_binary64
304×pow-prod-down_binary64
256×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
118636
2265836
Stop Event
node limit
Counts
3 → 217
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (/.f64 1 (-.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (/.f64 1 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))) (log.f64 (neg.f64 (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2)))) (log.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 (+.f64 a a)))) (log.f64 (-.f64 (exp.f64 b) (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x 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(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)))))))))

simplify137.0ms (3.4%)

Algorithm
egg-herbie
Rules
564×fma-neg_binary64
377×log-prod_binary64
319×fma-def_binary64
254×cube-prod_binary64
253×exp-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05827232
114906450
256676402
Stop Event
node limit
Counts
253 → 387
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (+.f64 (*.f64 -1/6 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (*.f64 1/6 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (*.f64 -1 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 1 (exp.f64 a)))))
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(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (/.f64 1 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 a a))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) 1) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.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)))))
(log.f64 (+.f64 1 (expm1.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)))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 1/2 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2)))
(-.f64 (fma.f64 (*.f64 -1/2 (*.f64 a a)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a a)) -1/2))))
(-.f64 (fma.f64 (*.f64 (pow.f64 a 3) -1/6) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (fma.f64 (*.f64 -1/2 (*.f64 a a)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (log1p.f64 (exp.f64 b)))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 a) (-.f64 (fma.f64 (*.f64 (pow.f64 b 3) -1/6) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(+.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 a) (-.f64 (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (pow.f64 b 3) -1/6) (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (*.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(fma.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (-.f64 1 (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))
(+.f64 (*.f64 (pow.f64 a 2) (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 1/2 (pow.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2)) (*.f64 -1/2 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 a (*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b))))) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))))
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(/.f64 (pow.f64 (exp.f64 1) (/.f64 (*.f64 a a) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (pow.f64 (exp.f64 1) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(/.f64 (pow.f64 (E.f64) (/.f64 (*.f64 a a) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (pow.f64 (E.f64) (*.f64 (/.f64 a (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) a)) (pow.f64 (E.f64) (/.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2) 1/2)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 1) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (*.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (*.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)) 1/3)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 1) 1) (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (/.f64 1 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 a a))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))) (/.f64 1 (fma.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (*.f64 a a))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 3))) (/.f64 1 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))))
(pow.f64 (pow.f64 (exp.f64 1) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (E.f64) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2))) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 1) (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(pow.f64 (pow.f64 (E.f64) (+.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))) (sqrt.f64 a))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) 1) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) 2)) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2))) (cbrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2)) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) 1) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (cbrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))) 2))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (fabs.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (sqrt.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))))) (sqrt.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a)))))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(exp.f64 (neg.f64 (+.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 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)))

rewrite39.0ms (1%)

Algorithm
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
069
11249
215679
Stop Event
node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.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))))))))

simplify44.0ms (1.1%)

Algorithm
egg-herbie
Rules
637×associate-/r*_binary64
549×fma-neg_binary64
370×fma-def_binary64
316×associate-/l/_binary64
278×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078400
1204333
2557278
32794276
47656276
Stop Event
node limit
Counts
26 → 39
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 (+.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))))
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)))
(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))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(-.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 1 (exp.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 1 (exp.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 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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.f64 1 (+.f64 1 (exp.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 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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)
(/.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 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b 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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.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 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 a))
0.3b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
2.0ms
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)))
0.0ms
a
@0
(+.f64 1 (exp.f64 a))
0.0ms
a
@inf
(+.f64 1 (exp.f64 a))

rewrite44.0ms (1.1%)

Algorithm
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
0617
112416
2167916
Stop Event
node limit
Counts
2 → 63
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))

simplify50.0ms (1.3%)

Algorithm
egg-herbie
Rules
392×associate-/l*_binary64
378×div-sub_binary64
377×associate-/r*_binary64
370×fma-def_binary64
311×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01631034
1398839
21320714
35363714
Stop Event
node limit
Counts
71 → 98
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))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(-.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))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
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 1/480 (pow.f64 a 5) (*.f64 1/4 a)) (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 a 2) (*.f64 (pow.f64 a 3) 1/6)))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) 1)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) 1))))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (exp.f64 a) (/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.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 (*.f64 (exp.f64 a) 1) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 2 (expm1.f64 a)))
(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 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 2 (expm1.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)))))
(-.f64 (+.f64 1 (+.f64 (exp.f64 a) 1)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 1 (+.f64 (exp.f64 a) 1))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (+.f64 (exp.f64 a) 1) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 1 (-.f64 (+.f64 1 (exp.f64 a)) 1))
(+.f64 1 (+.f64 (exp.f64 a) 0))
(+.f64 2 (expm1.f64 a))

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.0b
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
0.6b
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
Compiler

Compiled 32 to 9 computations (71.9% saved)

series8.0ms (0.2%)

Counts
2 → 32
Calls

12 calls:

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

rewrite57.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
485×prod-diff_binary64
449×log-prod_binary64
347×exp-prod_binary64
280×pow-prod-down_binary64
247×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0929
118926
2258226
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
Outputs
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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) -1))))))
((#(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 (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 (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 (exp.f64 (log1p.f64 (/.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 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.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 (/.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) 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 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -2) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 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(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 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (exp.f64 a)))))) (#(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))) (fma.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a)) (exp.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))) -2) (cbrt.f64 (/.f64 (exp.f64 a) (+.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 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 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simplify69.0ms (1.7%)

Algorithm
egg-herbie
Rules
900×fma-def_binary64
522×distribute-rgt-in_binary64
494×times-frac_binary64
320×unswap-sqr_binary64
170×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03502958
19102765
229092538
Stop Event
node limit
Counts
135 → 208
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))) (+.f64 1/3 (+.f64 (*.f64 -1/2 (exp.f64 b)) (*.f64 1/6 (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3)) (exp.f64 b)))))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a)))))
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(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1/2) 2))
Outputs
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (exp.f64 b)))
(+.f64 (exp.f64 b) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 1 (fma.f64 (exp.f64 b) (neg.f64 a) (exp.f64 b)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (exp.f64 b))))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (*.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (exp.f64 b))))
(+.f64 (fma.f64 (*.f64 a a) (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (exp.f64 b)) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 1 (-.f64 (fma.f64 a (*.f64 a (-.f64 1/2 (+.f64 1/2 (*.f64 (exp.f64 b) -1/2)))) (exp.f64 b)) (*.f64 (exp.f64 b) a)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 (pow.f64 a 2) (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b))) (+.f64 1/3 (+.f64 (*.f64 -1/2 (exp.f64 b)) (*.f64 1/6 (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 -1 (*.f64 (exp.f64 b) a) (+.f64 1 (fma.f64 (*.f64 a a) (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (fma.f64 (-.f64 (-.f64 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b))) 1/3) (fma.f64 -1/2 (exp.f64 b) (+.f64 1/6 (*.f64 (exp.f64 b) 1/6)))) (pow.f64 a 3) (exp.f64 b)))))
(+.f64 (fma.f64 (*.f64 a a) (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (fma.f64 (-.f64 (-.f64 (+.f64 1/2 (*.f64 (exp.f64 b) 1/2)) (exp.f64 b)) (+.f64 1/3 (fma.f64 (exp.f64 b) -1/2 (+.f64 1/6 (*.f64 (exp.f64 b) 1/6))))) (pow.f64 a 3) (exp.f64 b))) (fma.f64 (neg.f64 a) (exp.f64 b) 1))
(+.f64 (fma.f64 a (*.f64 a (-.f64 1/2 (+.f64 1/2 (*.f64 (exp.f64 b) -1/2)))) (fma.f64 (+.f64 (+.f64 1/2 (*.f64 (exp.f64 b) -1/2)) (-.f64 -1/3 (+.f64 1/6 (*.f64 (exp.f64 b) -1/3)))) (pow.f64 a 3) (exp.f64 b))) (fma.f64 (exp.f64 b) (neg.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))
(+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a)))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a)))))
(+.f64 (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 b 2) (exp.f64 a))) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a))) (+.f64 (/.f64 b (exp.f64 a)) (/.f64 1 (exp.f64 a))))))
(fma.f64 1/2 (/.f64 (*.f64 b b) (exp.f64 a)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (+.f64 (/.f64 b (exp.f64 a)) (exp.f64 (neg.f64 a))))))
(+.f64 (+.f64 (exp.f64 (neg.f64 a)) (fma.f64 1/6 (/.f64 (pow.f64 b 3) (exp.f64 a)) (/.f64 b (exp.f64 a)))) (fma.f64 1/2 (/.f64 b (/.f64 (exp.f64 a) b)) 1))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (exp.f64 b))))
(fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (exp.f64 b))) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (exp.f64 b))) (fma.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 a (*.f64 a (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 2)) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 1 (+.f64 1 (exp.f64 b))))) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (exp.f64 b)) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (*.f64 1/3 (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (*.f64 (-.f64 1/2 (+.f64 (*.f64 1/2 (+.f64 1 (exp.f64 b))) (*.f64 -1 (exp.f64 b)))) (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (exp.f64 b))) (fma.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (-.f64 (/.f64 (*.f64 (exp.f64 b) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/2 (+.f64 1 (exp.f64 b)))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))) (fma.f64 -1 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (/.f64 (-.f64 1/2 (fma.f64 1/2 (+.f64 1 (exp.f64 b)) (neg.f64 (exp.f64 b)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 b)))))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (exp.f64 b))) (fma.f64 (*.f64 a a) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (fma.f64 (pow.f64 a 3) (-.f64 (fma.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (-.f64 (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (/.f64 (-.f64 (-.f64 0 (*.f64 (exp.f64 b) 1/2)) (neg.f64 (exp.f64 b))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (exp.f64 b)))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (exp.f64 b) (fma.f64 a (*.f64 a (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 (pow.f64 a 3) (+.f64 (/.f64 1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (-.f64 (fma.f64 -1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 (+.f64 1 (exp.f64 b)) (exp.f64 b)))) (+.f64 (/.f64 1/3 (+.f64 1 (exp.f64 b))) (*.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 (/.f64 (-.f64 1/2 (+.f64 1/2 (*.f64 (exp.f64 b) -1/2))) (+.f64 1 (exp.f64 b))) -1))))) (/.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 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b 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 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 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 -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 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (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 1/2 (/.f64 (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 (pow.f64 b 3) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (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 (*.f64 1/6 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 -1 (*.f64 (*.f64 b b) (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 (*.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.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 (*.f64 b b) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (*.f64 (pow.f64 b 3) (-.f64 (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)))) (/.f64 (-.f64 (*.f64 1/2 (/.f64 (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))))))
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(exp.f64 (*.f64 (*.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) -1/2) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
0.0b
(expm1.f64 (log1p.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)

series5.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
b
@0
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
b
@inf
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
a
@inf
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
0.0ms
b
@-inf
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite47.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
935×pow1_binary64
868×expm1-log1p-u_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
846×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
116813
2232813
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 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 (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 (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 (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 (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 (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 /.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 (pow.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) 1) (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))) (#(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 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 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)))))))))

simplify49.0ms (1.2%)

Algorithm
egg-herbie
Rules
874×fma-def_binary64
629×associate-/l*_binary64
452×distribute-rgt-in_binary64
412×distribute-lft-in_binary64
361×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01881513
15281491
220101454
Stop Event
node limit
Counts
70 → 77
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)))
(+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1)
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 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) (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)))
(/.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 (pow.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) 1) (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(/.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))
(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)))
(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)))))
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)))))
(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) (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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (-.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 (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))) (/.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 (+.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) (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 (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 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) 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 -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 (exp.f64 a) (/.f64 (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 (*.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 b 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 (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 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.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 (-.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 b b))) (*.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 (*.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 (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 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(-.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(*.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) 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 (fma.f64 (exp.f64 a) (*.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 a))) (pow.f64 (exp.f64 a) 3)) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3)))
(*.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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 1 (/.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (cbrt.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (sqrt.f64 (exp.f64 a)) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (sqrt.f64 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (neg.f64 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (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 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 3) 1) (+.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) (+.f64 1 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 3) -1) (fma.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 3)) (fma.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 2 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))) (+.f64 2 (/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)) 1) (+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.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))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 3)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(neg.f64 (/.f64 (exp.f64 a) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 2))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))

eval334.0ms (8.4%)

Compiler

Compiled 23998 to 10651 computations (55.6% saved)

prune262.0ms (6.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New105661062
Fresh101
Picked101
Done314
Total106171068
Error
0b
Counts
1068 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
0.0b
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
11.7b
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.3b
(+.f64 1/2 (*.f64 1/4 a))
40.7b
(+.f64 1/2 (*.f64 -1/4 b))
30.3b
(exp.f64 a)
39.4b
1/2
Compiler

Compiled 89 to 72 computations (19.1% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 11 computations (57.7% saved)

series7.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite49.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
947×pow1_binary64
880×add-log-exp_binary64
880×log1p-expm1-u_binary64
880×expm1-log1p-u_binary64
91×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
117521
2240721
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(+.f64 1 (exp.f64 (-.f64 b a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (-.f64 1 (exp.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))) (/.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) 1) (expm1.f64 (-.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (-.f64 b a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)))))

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Rules
870×fma-def_binary64
667×unswap-sqr_binary64
400×associate-/l*_binary64
368×distribute-rgt-in_binary64
354×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02272047
16351956
223461851
Stop Event
node limit
Counts
107 → 127
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a))))))))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b))))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (exp.f64 b)) (+.f64 1 (exp.f64 b))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 -1/6 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (exp.f64 b) 2) (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (*.f64 1/2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (pow.f64 a 2))) (+.f64 (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 (exp.f64 (-.f64 b a)) 1))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(/.f64 1 (+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a)))))
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (+.f64 (*.f64 b (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 a))))
(+.f64 1 (+.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 (exp.f64 (neg.f64 a)) (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a)))))))
(+.f64 1 (+.f64 (*.f64 b (exp.f64 (neg.f64 a))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 a)))) (+.f64 (exp.f64 (neg.f64 a)) (*.f64 1/2 (*.f64 (pow.f64 b 2) (exp.f64 (neg.f64 a))))))))
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 (neg.f64 (+.f64 a (*.f64 -1 b)))))
(+.f64 1 (exp.f64 b))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b))) (exp.f64 b))))
(+.f64 (*.f64 -1 (*.f64 a (exp.f64 b))) (+.f64 1 (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (exp.f64 b))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (exp.f64 b))) (exp.f64 b)))))
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 (exp.f64 (-.f64 b a)) 1)
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(+.f64 1 (exp.f64 (+.f64 b (*.f64 -1 a))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (-.f64 1 (exp.f64 (-.f64 b a))))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 (-.f64 b a)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))) (/.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))
(/.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a)))) -1)
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) 1) (expm1.f64 (-.f64 b a)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(fma.f64 1 (exp.f64 (-.f64 b a)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (neg.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a))))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (neg.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (*.f64 b b)) (neg.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a)))))))
(fma.f64 -1 (fma.f64 (-.f64 (/.f64 (/.f64 1/2 (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (*.f64 b b) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))))
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (-.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (+.f64 1 (exp.f64 (neg.f64 a)))))) (*.f64 b b) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (pow.f64 b 2))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3))) (+.f64 (*.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))) (*.f64 -1 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (exp.f64 (neg.f64 a))) (+.f64 1 (exp.f64 (neg.f64 a))))))))) (*.f64 -1 (/.f64 (*.f64 b (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2))))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (fma.f64 -1 (*.f64 (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (neg.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (*.f64 b b)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 b 3) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)) (fma.f64 1/6 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (neg.f64 (/.f64 (fma.f64 1/2 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2)) (neg.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 a)) 2) (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 3)))) (/.f64 (+.f64 1 (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 a)))))))) (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 (neg.f64 a))) 2) (exp.f64 (neg.f64 a))))))))
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(*.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(*.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2))
(+.f64 1 (exp.f64 (-.f64 b a)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) 1) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (/.f64 1 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) -2)) (expm1.f64 (-.f64 b a)))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))) (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) 1) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 (-.f64 b a))) (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) -2)) (expm1.f64 (-.f64 b a)))
(/.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 (-.f64 b a)))) -1)
(/.f64 (-.f64 -1 (exp.f64 (-.f64 b a))) -1)
(-.f64 1 (/.f64 (exp.f64 (-.f64 b a)) -1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) 1) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (+.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) 1) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) -2)) (expm1.f64 (-.f64 b a)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) 1) (+.f64 1 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 3)) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2))) (neg.f64 (-.f64 1 (exp.f64 (-.f64 b a)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) -2)) (expm1.f64 (-.f64 b a)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 b a)) 2) 1) (expm1.f64 (-.f64 b a)))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (-.f64 b a)) 2)) (-.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (expm1.f64 (*.f64 (-.f64 a b) -2)) (expm1.f64 (-.f64 b a)))
(pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3) 1/3)
(+.f64 1 (exp.f64 (-.f64 b a)))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 3)
(+.f64 1 (exp.f64 (-.f64 b a)))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 (-.f64 b a)))) 2)
(+.f64 1 (exp.f64 (-.f64 b a)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 2))
(+.f64 1 (exp.f64 (-.f64 b a)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a))))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 (-.f64 b a))) 3))
(+.f64 1 (exp.f64 (-.f64 b a)))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 (-.f64 b a)))))
(+.f64 1 (exp.f64 (-.f64 b a)))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(fma.f64 1 (exp.f64 (-.f64 b a)) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b a))) 2) (cbrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))
(fma.f64 (sqrt.f64 (exp.f64 (-.f64 b a))) (sqrt.f64 (exp.f64 (-.f64 b a))) 1)
(+.f64 1 (exp.f64 (-.f64 b a)))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize21.0ms (0.5%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
Compiler

Compiled 29 to 8 computations (72.4% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
1.0ms
b
@inf
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
1.0ms
b
@0
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))

rewrite71.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
689×pow1_binary64
646×add-log-exp_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
632×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
117611
2268911
Stop Event
node limit
Counts
1 → 38
Calls
Call 1
Inputs
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (expm1.f64 (/.f64 0 0))) (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 b) (expm1.f64 (/.f64 0 0))) (/.f64 1 (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (/.f64 0 0))) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) -1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) -1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (/.f64 0 0)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))))))

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Rules
21×*-commutative_binary64
15×associate-*r/_binary64
13×associate-*l/_binary64
13×sqr-pow_binary64
sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119595
1313595
Stop Event
unsound
Counts
50 → 66
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 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(-.f64 0 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 1)
(-.f64 (/.f64 0 (expm1.f64 (/.f64 0 0))) (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (/.f64 0 0))) (/.f64 1 (expm1.f64 (/.f64 0 0))))
(*.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)
(*.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 1 (expm1.f64 (/.f64 0 0))) (expm1.f64 b))
(*.f64 -1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) -1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) -1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2)
(pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 b)) -1)
(neg.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (/.f64 0 0)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
Outputs
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 (fma.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 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (neg.f64 (*.f64 -2 b))) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(-.f64 0 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(neg.f64 (*.f64 0 (expm1.f64 b)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 1)
(+.f64 0 (-.f64 (*.f64 0 (expm1.f64 b)) 0))
(-.f64 (/.f64 0 (expm1.f64 (/.f64 0 0))) (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(neg.f64 (*.f64 0 (expm1.f64 b)))
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (/.f64 0 0))) (/.f64 1 (expm1.f64 (/.f64 0 0))))
(+.f64 (/.f64 (exp.f64 b) (expm1.f64 0)) -1)
(*.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (/.f64 0 0))))
(*.f64 0 (expm1.f64 b))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)
(*.f64 0 (expm1.f64 b))
(*.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(*.f64 0 (expm1.f64 b))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2))
(*.f64 0 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 0 (cbrt.f64 (expm1.f64 b))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))
(*.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (/.f64 0 0)))))
(*.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 0 (sqrt.f64 (expm1.f64 b))))
(*.f64 (/.f64 1 (expm1.f64 (/.f64 0 0))) (expm1.f64 b))
(*.f64 0 (expm1.f64 b))
(*.f64 -1 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(neg.f64 (*.f64 0 (expm1.f64 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 0)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 b))) (expm1.f64 0))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 0 (pow.f64 (cbrt.f64 (expm1.f64 0)) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (*.f64 0 (expm1.f64 b))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 0)) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 0)) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 0))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 0 0))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 0))) (/.f64 -1 (pow.f64 (cbrt.f64 (expm1.f64 0)) 2)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 0 (sqrt.f64 (expm1.f64 0))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 0))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 0))))
(*.f64 (/.f64 -1 (sqrt.f64 (expm1.f64 (/.f64 0 0)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (/.f64 0 0)))))
(*.f64 (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 0))) (/.f64 -1 (sqrt.f64 (expm1.f64 0))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) -1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 0)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) -1))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) -1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (/.f64 0 0))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 0)) (/.f64 (sqrt.f64 (expm1.f64 b)) -1))
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 1)
(*.f64 0 (expm1.f64 b))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3) 1/3)
(*.f64 0 (expm1.f64 b))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 3)
(*.f64 0 (expm1.f64 b))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))) 2)
(*.f64 0 (expm1.f64 b))
(pow.f64 (/.f64 (expm1.f64 (/.f64 0 0)) (expm1.f64 b)) -1)
(/.f64 0 (/.f64 (expm1.f64 0) (expm1.f64 b)))
(neg.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))))
(neg.f64 (*.f64 0 (expm1.f64 b)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 2))
(sqrt.f64 (pow.f64 (*.f64 0 (expm1.f64 b)) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0))) 3))
(*.f64 0 (expm1.f64 b))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (/.f64 0 0)) 3)))
(*.f64 0 (expm1.f64 b))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))
(exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (/.f64 0 0)))))
(*.f64 0 (expm1.f64 b))

eval90.0ms (2.3%)

Compiler

Compiled 3791 to 2293 computations (39.5% saved)

prune56.0ms (1.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1912193
Fresh011
Picked101
Done145
Total1937200
Error
0b
Counts
200 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
21.4b
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
11.7b
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.3b
(+.f64 1/2 (*.f64 1/4 a))
40.7b
(+.f64 1/2 (*.f64 -1/4 b))
30.3b
(exp.f64 a)
39.4b
1/2
Compiler

Compiled 47 to 40 computations (14.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 11 computations (47.6% saved)

series3.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite45.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
618×pow1_binary64
575×add-log-exp_binary64
575×log1p-expm1-u_binary64
575×expm1-log1p-u_binary64
563×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0719
114615
2188115
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(+.f64 1 (exp.f64 (neg.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (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 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (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 sqrt.f64 (pow.f64 (+.f64 1 (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 (pow.f64 (+.f64 1 (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 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))
((#(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 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(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 (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))))))

simplify50.0ms (1.2%)

Algorithm
egg-herbie
Rules
627×unswap-sqr_binary64
369×fma-def_binary64
310×fma-neg_binary64
293×div-sub_binary64
226×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0148880
1365785
21179637
35441637
Stop Event
node limit
Counts
73 → 97
Calls
Call 1
Inputs
2
(+.f64 2 (*.f64 -1 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (*.f64 -1 a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a))))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
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 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.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 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(/.f64 (+.f64 1 (exp.f64 a)) 1)
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) -1)
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))
Outputs
2
(+.f64 2 (*.f64 -1 a))
(+.f64 2 (neg.f64 a))
(-.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (*.f64 -1 a)))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (neg.f64 a)))
(-.f64 (fma.f64 1/2 (*.f64 a a) 2) a)
(-.f64 (fma.f64 a (*.f64 a 1/2) 2) a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 (*.f64 -1/6 (pow.f64 a 3)) (*.f64 -1 a))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (fma.f64 -1/6 (pow.f64 a 3) (neg.f64 a))))
(+.f64 (fma.f64 -1/6 (pow.f64 a 3) (neg.f64 a)) (fma.f64 1/2 (*.f64 a a) 2))
(-.f64 (fma.f64 a (*.f64 a 1/2) (fma.f64 -1/6 (pow.f64 a 3) 2)) a)
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (neg.f64 a)))
(+.f64 1 (exp.f64 (*.f64 -1 a)))
(+.f64 1 (exp.f64 (neg.f64 a)))
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
(fma.f64 a 1/4 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 a 1/4)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 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 a 1/4))))
(+.f64 (fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 (pow.f64 a 3) -1/48 (fma.f64 a 1/4 (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (*.f64 -1 a))))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 a))) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (cbrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (sqrt.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(*.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (/.f64 1 (-.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (pow.f64 (exp.f64 a) 2))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 -1 (neg.f64 (exp.f64 a))) -1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (pow.f64 (exp.f64 a) 2) (-.f64 1 (exp.f64 a))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2)) (-.f64 1 (exp.f64 a)))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 a) 3)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 3) a)) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (neg.f64 (-.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(/.f64 (-.f64 (pow.f64 (exp.f64 a) 2) 1) (expm1.f64 a))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (+.f64 1 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 3)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) 2)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 a))))
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(exp.f64 (log1p.f64 (exp.f64 a)))
(fma.f64 1 (exp.f64 a) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)
(+.f64 (+.f64 2 (exp.f64 a)) -1)
(+.f64 2 (-.f64 (exp.f64 a) 1))
(+.f64 2 (expm1.f64 a))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 a))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) (pow.f64 (+.f64 1 (exp.f64 a)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 a)))))
(/.f64 -1 (-.f64 -1 (exp.f64 a)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 a))) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))
(*.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 a) 3))))
(/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 a) 3)))
(/.f64 (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (+.f64 1 (pow.f64 (exp.f64 3) a)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(pow.f64 (+.f64 1 (exp.f64 a)) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 a)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 a)) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 a)))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 0)
(/.f64 1 (+.f64 2 (expm1.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 a))))

localize90.0ms (2.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.5b
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
Compiler

Compiled 20 to 13 computations (35% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@-inf
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
0.0ms
b
@inf
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
0.0ms
b
@0
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))

rewrite137.0ms (3.4%)

Algorithm
batch-egg-rewrite
Rules
691×pow1_binary64
639×add-log-exp_binary64
639×log1p-expm1-u_binary64
639×expm1-log1p-u_binary64
625×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
114211
2171511
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 b 2))) (/.f64 1 (expm1.f64 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (expm1.f64 b)) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 b 2))) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (expm1.f64 b) (neg.f64 (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (*.f64 b 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))))))

simplify92.0ms (2.3%)

Algorithm
egg-herbie
Rules
726×fma-def_binary64
445×div-sub_binary64
392×log-prod_binary64
364×log-div_binary64
257×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105508
1257506
2887502
34438502
Stop Event
node limit
Counts
44 → 48
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 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 1)
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 b 2))) (/.f64 1 (expm1.f64 (*.f64 b 2))))
(*.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (*.f64 b 2))))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)
(*.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(*.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(*.f64 (neg.f64 (expm1.f64 b)) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b 2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 b 2))) (expm1.f64 b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)) -1)
(neg.f64 (/.f64 (expm1.f64 b) (neg.f64 (expm1.f64 (*.f64 b 2)))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (*.f64 b 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.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 1/48 (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))
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) 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 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3)))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (-.f64 (exp.f64 b) 1) (-.f64 (exp.f64 (*.f64 2 b)) 1))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 1)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(-.f64 (/.f64 (exp.f64 b) (expm1.f64 (*.f64 b 2))) (/.f64 1 (expm1.f64 (*.f64 b 2))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (expm1.f64 b) (/.f64 1 (expm1.f64 (*.f64 b 2))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 1 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (*.f64 (cbrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (sqrt.f64 (expm1.f64 b)) (*.f64 (sqrt.f64 (expm1.f64 b)) (/.f64 1 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (neg.f64 (expm1.f64 b)) (/.f64 1 (neg.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 b 2))) (expm1.f64 b))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) 1) (/.f64 (sqrt.f64 (expm1.f64 b)) (expm1.f64 (*.f64 b 2))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (expm1.f64 b) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 b)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 b 2))) 2)) (/.f64 (sqrt.f64 (expm1.f64 b)) (cbrt.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (expm1.f64 b) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 b)) 2) (sqrt.f64 (expm1.f64 (*.f64 b 2)))) (/.f64 (cbrt.f64 (expm1.f64 b)) (sqrt.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 1)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3) 1/3)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 3)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))) 2)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(pow.f64 (/.f64 (expm1.f64 (*.f64 b 2)) (expm1.f64 b)) -1)
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(neg.f64 (/.f64 (expm1.f64 b) (neg.f64 (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 2))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(log.f64 (exp.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2))) 3))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 b) 3) (pow.f64 (expm1.f64 (*.f64 b 2)) 3)))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))

eval65.0ms (1.6%)

Compiler

Compiled 1636 to 1170 computations (28.5% saved)

prune31.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1441145
Fresh011
Picked011
Done055
Total1448152
Error
0b
Counts
152 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
29.9b
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
38.7b
(/.f64 1 (-.f64 2 a))
21.4b
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
11.7b
(/.f64 1 (+.f64 1 (exp.f64 b)))
39.3b
(+.f64 1/2 (*.f64 1/4 a))
40.7b
(+.f64 1/2 (*.f64 -1/4 b))
30.3b
(exp.f64 a)
39.4b
1/2
Compiler

Compiled 54 to 46 computations (14.8% saved)

regimes31.0ms (0.8%)

Counts
16 → 1
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (expm1.f64 b) (expm1.f64 (*.f64 b 2)))
(/.f64 (neg.f64 (expm1.f64 b)) (neg.f64 (expm1.f64 (+.f64 b b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)) -1)
(expm1.f64 (log1p.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)))) 3)
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
Calls

5 calls:

9.0ms
b
8.0ms
a
3.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
ErrorSegmentsBranch
0.0b1a
0.0b1b
0.0b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.0b1(exp.f64 a)
0.0b1(exp.f64 b)
Compiler

Compiled 136 to 75 computations (44.9% saved)

regimes42.0ms (1%)

Counts
7 → 2
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(exp.f64 a)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

15.0ms
b
10.0ms
(exp.f64 a)
10.0ms
a
5.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.4b2a
0.8b3b
0.4b2(exp.f64 a)
0.8b3(exp.f64 b)
Compiler

Compiled 47 to 37 computations (21.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.999986192734709
0.9999888972270431
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes23.0ms (0.6%)

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

4 calls:

10.0ms
a
5.0ms
b
3.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.5b2a
11.7b1b
0.5b2(exp.f64 a)
11.7b1(exp.f64 b)
Compiler

Compiled 40 to 31 computations (22.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.5428301122311898e-150
0.999986192734709
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.9%)

Counts
5 → 4
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (-.f64 2 a))
(exp.f64 a)
Outputs
(exp.f64 a)
1/2
(exp.f64 a)
(+.f64 1/2 (*.f64 1/4 a))
Calls

3 calls:

17.0ms
a
13.0ms
b
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
20.6b4a
22.1b3b
21.6b2(exp.f64 a)
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch37.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
11.0ms
-2.0623130606201236e-90
-5.5497412889443505e-92
10.0ms
-1.1778023987288045e-74
-3.442602093338548e-75
16.0ms
-2.947369617511655e-15
-3.260654274445393e-18
Results
33.0ms320×body256valid
Compiler

Compiled 223 to 191 computations (14.3% saved)

regimes10.0ms (0.3%)

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

2 calls:

5.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
38.7b1a
38.7b1b
Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes10.0ms (0.3%)

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

2 calls:

5.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
39.3b1a
39.3b1b
Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes10.0ms (0.3%)

Accuracy

Total -1.7b remaining (-4.3%)

Threshold costs -1.7b (-4.3%)

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

2 calls:

6.0ms
b
3.0ms
a
Results
ErrorSegmentsBranch
39.4b1a
39.4b1b
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039107
151107
255107
356107
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) 9007091168349935/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -6084722881095501/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 a -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) 1/2 (if (<=.f64 a -4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (exp.f64 a) (+.f64 1/2 (*.f64 1/4 a)))))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
1/2
Outputs
(/.f64 1 (+.f64 1 (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) 9007091168349935/9007199254740992) (/.f64 1 (+.f64 1 (exp.f64 (neg.f64 a)))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 7371020360979573/3685510180489786476798393145496356338786055879312930105836138965083617346086082863365358130056307390177215209990980317284932211552660930305235775636164742230126362624) (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -6084722881095501/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 a -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) 1/2 (if (<=.f64 a -4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (exp.f64 a) (+.f64 1/2 (*.f64 1/4 a)))))
(if (<=.f64 a -6084722881095501/5070602400912917605986812821504) (exp.f64 a) (if (<=.f64 a -7129625917170701/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) 1/2 (if (<=.f64 a -4586997231980143/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (exp.f64 a) (+.f64 1/2 (*.f64 a 1/4)))))
(/.f64 1 (-.f64 2 a))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 a 1/4))
1/2
Compiler

Compiled 86 to 68 computations (20.9% saved)

soundness125.0ms (3.1%)

Algorithm
egg-herbie
Rules
900×fma-def_binary64
522×distribute-rgt-in_binary64
494×times-frac_binary64
320×unswap-sqr_binary64
170×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03502958
19102765
229092538
Stop Event
node limit
Compiler

Compiled 143 to 103 computations (28% saved)

end50.0ms (1.3%)

Compiler

Compiled 74 to 53 computations (28.4% saved)

Profiling

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