Details

Time bar (total: 5.9s)

analyze23.0ms (0.4%)

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

Compiled 11 to 7 computations (36.4% saved)

sample878.0ms (14.9%)

Results
844.0ms8256×body256valid
19.0ms187×body256unsamplable
Bogosity

preprocess17.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.0b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓1.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series9.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite63.0ms (1.1%)

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

Useful iterations: 0 (0.0ms)

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

simplify57.0ms (1%)

Algorithm
1×egg-herbie
Rules
763×distribute-rgt-in_binary64
740×distribute-lft-in_binary64
578×cancel-sign-sub-inv_binary64
396×fma-def_binary64
396×fma-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090686
1273662
2875638
33997617
Stop Event
1×node limit
Counts
82 → 94
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))))))
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 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.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 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)))))
(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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.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 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.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 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (-.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (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 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))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) -1/2 (+.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 -2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (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))))) (+.f64 (*.f64 (+.f64 1 a) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.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 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.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 b (*.f64 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))))))
(fma.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 (neg.f64 b)) (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.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 (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 b (*.f64 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 (fma.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) -1/2 (*.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)))) (pow.f64 b 3)))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 (*.f64 b b) (+.f64 (*.f64 b (-.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))))) (*.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 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))) (*.f64 (*.f64 b b) (-.f64 (*.f64 b (-.f64 (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) 1/6)))) (*.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 (+.f64 1 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 (+.f64 1 a) (exp.f64 b)))
(+.f64 (+.f64 (exp.f64 b) a) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 a (+.f64 (exp.f64 b) (fma.f64 1/2 (*.f64 a a) 1)))
(+.f64 1 (fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 1 a) (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b))) (fma.f64 1/2 (*.f64 a a) 1))
(+.f64 (exp.f64 b) (+.f64 (fma.f64 1/2 (*.f64 a a) 1) (fma.f64 1/6 (pow.f64 a 3) a)))
(+.f64 a (+.f64 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (fma.f64 a (*.f64 a 1/2) 1)))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 1 (+.f64 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 (exp.f64 a) (+.f64 b (fma.f64 1/2 (*.f64 b b) 1)))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (*.f64 1/2 (pow.f64 b 2))))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 (+.f64 1 (exp.f64 a)) (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (+.f64 (fma.f64 1/6 (pow.f64 b 3) 1) (fma.f64 1/2 (*.f64 b b) b)) (exp.f64 a))
(+.f64 b (+.f64 (fma.f64 b (*.f64 b 1/2) (exp.f64 a)) (fma.f64 1/6 (pow.f64 b 3) 1)))
(+.f64 (exp.f64 a) (+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 1)))

eval28.0ms (0.5%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune19.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh000
Picked101
Done000
Total88795
Error
0.2b
Counts
95 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶23.0b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶21.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.4b
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶11.2b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶2.1b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
22.9b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
▶1.0b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Compiler

Compiled 160 to 112 computations (30% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))
✓1.0b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
Compiler

Compiled 31 to 11 computations (64.5% saved)

series8.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite79.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
926×pow1_binary64
857×add-log-exp_binary64
857×log1p-expm1-u_binary64
857×expm1-log1p-u_binary64
837×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
118124
2237824
Stop Event
1×node limit
Counts
2 → 46
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(/.f64 1 (+.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 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))))) (#(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 (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 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) 1) (+.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 a) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (exp.f64 a)) (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 a) -1) (neg.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 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 cbrt.f64 (*.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) (pow.f64 (exp.f64 a) 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 1 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.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 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1) (pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.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 1 (-.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) (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -1/2) 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 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify61.0ms (1%)

Algorithm
1×egg-herbie
Rules
671×cancel-sign-sub-inv_binary64
500×fma-neg_binary64
420×fma-def_binary64
259×sub-neg_binary64
226×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01051167
13161142
29821114
347101081
Stop Event
1×node limit
Counts
78 → 74
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 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3)) (+.f64 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (*.f64 -1 (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(/.f64 1 (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (pow.f64 b 3)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2)) (*.f64 -1 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
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))))
(-.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(+.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)))))
(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 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2))))
(+.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 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.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 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 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))))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
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(fma.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (fma.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b) (neg.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(+.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 (pow.f64 b 3) (-.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4))) (/.f64 1 (+.f64 1 (exp.f64 a)))))
(fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 b (*.f64 b (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)) (/.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (fma.f64 b (*.f64 b (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (/.f64 1 (+.f64 1 (exp.f64 a))))) (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite52.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify139.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1173×fma-def_binary64
761×sqr-pow_binary64
637×cube-prod_binary64
401×unswap-sqr_binary64
368×unpow3_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02781
16975
217671
351067
4123566
5212864
6311464
7340764
8365064
9395664
10430564
11476564
12533064
13603364
14690164
15737364
16782464
Stop Event
1×node limit
Counts
65 → 71
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 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 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 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)))
2
(+.f64 2 b)
(+.f64 b 2)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 b (fma.f64 b (*.f64 1/2 b) 2))
(fma.f64 (fma.f64 1/2 b 1) b 2)
(fma.f64 b (fma.f64 1/2 b 1) 2)
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 (pow.f64 b 3) 1/6 2))
(+.f64 2 (fma.f64 (pow.f64 b 3) 1/6 (fma.f64 1/2 (*.f64 b b) b)))
(fma.f64 (pow.f64 b 3) 1/6 (fma.f64 (fma.f64 1/2 b 1) b 2))
(+.f64 b (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) 2))
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 a))
✓0.5b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series6.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
(+.f64 1 (exp.f64 a))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
1.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
0.0ms
a
@inf
(+.f64 1 (exp.f64 a))

rewrite59.0ms (1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0617
112416
2167916
Stop Event
1×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)))))

simplify144.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
1219×fma-def_binary64
761×sqr-pow_binary64
637×cube-prod_binary64
401×unswap-sqr_binary64
368×unpow3_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02879
17373
218571
351666
4118366
5206964
6309364
7340964
8365064
9395664
10430564
11476564
12533264
13603464
14690664
15738064
16783164
Stop Event
1×node limit
Counts
71 → 77
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)))))
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))
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2)))
(fma.f64 1/480 (pow.f64 a 5) (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) (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))
(fma.f64 (fma.f64 1/2 a 1) a 2)
(fma.f64 a (fma.f64 1/2 a 1) 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 2 (+.f64 a (*.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))
(fma.f64 (*.f64 a a) (fma.f64 a 1/6 1/2) (+.f64 a 2))
(fma.f64 a (fma.f64 a (fma.f64 a 1/6 1/2) 1) 2)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
✓0.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
Compiler

Compiled 20 to 10 computations (50% saved)

series10.0ms (0.2%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
4.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
1.0ms
b
@-inf
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))

rewrite65.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
832×pow1_binary64
770×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
753×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0811
115910
2207910
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (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 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (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 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (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 1 (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 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (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 1 (exp.f64 b))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (exp.f64 a) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (hypot.f64 1 (sqrt.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.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 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 (log1p.f64 (exp.f64 b)) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 b))))))))

simplify67.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
555×associate-*l*_binary64
489×associate-*r*_binary64
402×cancel-sign-sub-inv_binary64
315×fma-neg_binary64
288×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051210
1140193
2445170
31893168
46699168
Stop Event
1×node limit
Counts
41 → 46
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(*.f64 1/2 (exp.f64 a))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))))
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) (+.f64 1 (exp.f64 b)))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/2 (/.f64 (*.f64 a a) (+.f64 1 (exp.f64 b))) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(fma.f64 1/2 (/.f64 a (/.f64 (+.f64 1 (exp.f64 b)) a)) (fma.f64 1/6 (/.f64 (pow.f64 a 3) (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b))))))
(*.f64 1/2 (exp.f64 a))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (*.f64 1/2 (exp.f64 a)))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (*.f64 1/2 (exp.f64 a)))
(fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4)))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (*.f64 1/2 (exp.f64 a)))
(fma.f64 1/2 (exp.f64 a) (*.f64 (exp.f64 a) (*.f64 b -1/4)))
(*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (exp.f64 a) b)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/16 (exp.f64 a)) (+.f64 (*.f64 -1/2 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a)))) (*.f64 1/24 (exp.f64 a)))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/8 (exp.f64 a)) (*.f64 1/8 (exp.f64 a))) (pow.f64 b 2))) (*.f64 1/2 (exp.f64 a)))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (fma.f64 -1 (*.f64 (fma.f64 -1/16 (exp.f64 a) (fma.f64 -1/2 (*.f64 (exp.f64 a) 0) (*.f64 (exp.f64 a) 1/24))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (*.f64 (exp.f64 a) 0) (*.f64 b b)) (*.f64 1/2 (exp.f64 a)))))
(fma.f64 -1/4 (*.f64 b (exp.f64 a)) (-.f64 (fma.f64 1/2 (exp.f64 a) (*.f64 0 (*.f64 b b))) (*.f64 (fma.f64 (exp.f64 a) -1/16 (fma.f64 (exp.f64 a) 1/24 0)) (pow.f64 b 3))))
(-.f64 (*.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4))) (*.f64 (*.f64 (exp.f64 a) -1/48) (pow.f64 b 3)))
(fma.f64 (exp.f64 a) (+.f64 1/2 (*.f64 b -1/4)) (*.f64 (pow.f64 b 3) (*.f64 (exp.f64 a) 1/48)))

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓0.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 25 to 13 computations (48% saved)

series13.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite80.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
652×prod-diff_binary64
633×unpow-prod-down_binary64
419×log-prod_binary64
351×fma-def_binary64
236×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0823
117523
2258622
Stop Event
1×node limit
Counts
2 → 142
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(+.f64 (exp.f64 a) (+.f64 1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))) 2) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (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) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (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) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 1 (neg.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b))) (pow.f64 (/.f64 1 (exp.f64 a)) -1))))) (#(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) (+.f64 1 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) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 (exp.f64 a) (+.f64 1 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) 1) (pow.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) 1) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2))) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1) (pow.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 1 b) 3))) 1) (fma.f64 (+.f64 1 b) (-.f64 (+.f64 1 b) (exp.f64 a)) (pow.f64 (exp.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 (pow.f64 (exp.f64 a) 2) (pow.f64 (+.f64 1 b) 2))) 1) (-.f64 (expm1.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 2) (exp.f64 a)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 (exp.f64 a) (+.f64 1 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 2) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 2) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 1/3) (cbrt.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 2) 3) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (log1p.f64 (+.f64 b (exp.f64 a))) a))) 2) -1) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 2)) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (exp.f64 a) (+.f64 1 b))) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (+.f64 b (exp.f64 a))))) 3) 1/3)))) (#(struct:change 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(exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (exp.f64 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 1 b)) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 1 b))) (+.f64 1 (expm1.f64 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 a) 1)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (+.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (+.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (+.f64 b (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (+.f64 b (exp.f64 a))) 1))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (cbrt.f64 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 b)) (sqrt.f64 (+.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) (+.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 b 3)) (/.f64 1 (fma.f64 b (-.f64 b 1) 1)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 b b)) (/.f64 1 (-.f64 1 b)) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 a) 1) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)) b)))))

simplify63.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
870×fma-neg_binary64
746×distribute-rgt-in_binary64
334×fma-def_binary64
288×times-frac_binary64
215×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911052
12721022
2882986
34273934
Stop Event
1×node limit
Counts
190 → 176
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 b))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) 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))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 (exp.f64 a) b))
Outputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b)))
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b))))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2)))) (/.f64 1 (+.f64 2 b))))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2))))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 2 b))) (*.f64 3/2 (/.f64 1 (pow.f64 (+.f64 2 b) 3)))) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (*.f64 2/3 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (pow.f64 a 3)) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 3))) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 2)))) (fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (/.f64 3/2 (pow.f64 (+.f64 2 b) 3))) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (/.f64 1 (pow.f64 (+.f64 2 b) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b)))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 2 b)) (-.f64 (-.f64 (/.f64 3/2 (pow.f64 (+.f64 2 b) 3)) (/.f64 1 (pow.f64 (+.f64 2 b) 4))) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 2)) (/.f64 -1 (pow.f64 (+.f64 2 b) 3))) (/.f64 2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2)))) (/.f64 1 (+.f64 2 b)))))
(fma.f64 a (*.f64 a (+.f64 (/.f64 1/2 (+.f64 2 b)) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -3/2 (pow.f64 (+.f64 2 b) 2))))) (fma.f64 (+.f64 (/.f64 3/2 (pow.f64 (+.f64 2 b) 3)) (+.f64 (/.f64 1/6 (+.f64 2 b)) (+.f64 (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 -1 (pow.f64 (+.f64 2 b) 4))) (/.f64 -2/3 (pow.f64 (+.f64 2 b) 2))))) (pow.f64 a 3) (+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 (exp.f64 a) b)))
(/.f64 (exp.f64 a) (+.f64 1 (+.f64 b (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 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 (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 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (exp.f64 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.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))) (+.f64 (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.f64 (/.f64 (exp.f64 a) (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)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) b)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (+.f64 (/.f64 b (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) 1) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))))
(+.f64 (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (*.f64 b b)))) (*.f64 -1 (+.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b)) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 b b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 1 (exp.f64 a)) 4))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) b)) (*.f64 (pow.f64 b 3) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 4)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (-.f64 (/.f64 (*.f64 b b) (+.f64 1 (exp.f64 a))) (+.f64 b (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))))
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))))
(*.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (/.f64 (pow.f64 b 4) (exp.f64 a))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 4)) (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))))
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(-.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b))))
(*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a)))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b))))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))))
(*.f64 (/.f64 (exp.f64 a) b) (-.f64 (+.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 b b)) 1) (/.f64 (+.f64 1 (exp.f64 a)) b)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (exp.f64 a)) (pow.f64 b 4))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (exp.f64 a)) (pow.f64 b 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 1 (exp.f64 a)) (exp.f64 a)) (pow.f64 b 2))))))
(fma.f64 -1 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (/.f64 (pow.f64 b 4) (exp.f64 a))) (+.f64 (/.f64 (exp.f64 a) b) (+.f64 (neg.f64 (/.f64 (+.f64 1 (exp.f64 a)) (/.f64 (*.f64 b b) (exp.f64 a)))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))))))
(-.f64 (+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (exp.f64 a)) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 1 (exp.f64 a)) b)))) (*.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) (pow.f64 b 4)) (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (*.f64 (exp.f64 a) (-.f64 (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (pow.f64 b 3)) (/.f64 (+.f64 1 (exp.f64 a)) (*.f64 b b)))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 4)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(+.f64 (*.f64 (+.f64 (/.f64 (-.f64 -1 (exp.f64 a)) b) 1) (/.f64 (exp.f64 a) b)) (*.f64 (/.f64 (exp.f64 a) (pow.f64 b 3)) (-.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 3) b))))
(+.f64 2 b)
(+.f64 2 (+.f64 a b))
(+.f64 (+.f64 2 a) b)
(+.f64 2 (+.f64 b a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a b)))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) b))
(+.f64 (+.f64 b a) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b a)))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (+.f64 (*.f64 1/6 (pow.f64 a 3)) b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 (+.f64 2 a) (fma.f64 1/6 (pow.f64 a 3) b)))
(+.f64 (+.f64 a (fma.f64 1/6 (pow.f64 a 3) b)) (fma.f64 (*.f64 a a) 1/2 2))
(+.f64 2 (fma.f64 a (*.f64 a 1/2) (+.f64 b (fma.f64 1/6 (pow.f64 a 3) a))))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (exp.f64 a))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
b
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))
(+.f64 1 (+.f64 (exp.f64 a) b))
(+.f64 1 (+.f64 b (exp.f64 a)))
(+.f64 (exp.f64 a) (+.f64 1 b))

eval164.0ms (2.8%)

Compiler

Compiled 8943 to 4977 computations (44.3% saved)

prune85.0ms (1.4%)

Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New52112533
Fresh202
Picked101
Done134
Total52515540
Error
0.2b
Counts
540 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
23.3b
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓11.2b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶38.7b
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
✓2.1b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
▶47.3b
(/.f64 (exp.f64 a) b)
✓21.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
▶37.9b
(/.f64 1 (+.f64 b 2))
36.3b
(+.f64 1/2 (*.f64 1/4 a))
36.3b
1/2
▶37.9b
(+.f64 1/2 (*.f64 -1/4 b))
21.2b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
37.8b
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
▶11.6b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
22.0b
(/.f64 (exp.f64 a) 2)
Compiler

Compiled 249 to 201 computations (19.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0b
(+.f64 1 (exp.f64 b))
✓0.5b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Compiler

Compiled 26 to 18 computations (30.8% saved)

series57.0ms (1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
29.0ms
b
@inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
26.0ms
b
@-inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
1.0ms
b
@0
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
0.0ms
b
@0
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0ms
b
@inf
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

rewrite64.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
785×pow1_binary64
734×add-log-exp_binary64
733×log1p-expm1-u_binary64
733×expm1-log1p-u_binary64
717×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
119118
2210518
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
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 (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 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.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 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (cbrt.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 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(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 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 (exp.f64 b)))))) (#(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 (*.f64 (log1p.f64 (exp.f64 b)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))))))

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
974×fma-def_binary64
802×distribute-rgt-out_binary64
692×distribute-lft-in_binary64
631×associate-*l*_binary64
556×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
048317
1118271
2359256
31245242
44876239
57281239
Stop Event
1×node limit
Counts
60 → 49
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (*.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b)))))
(+.f64 (fma.f64 0 (*.f64 b b) (*.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 b -1/4 1/2))
(fma.f64 b -1/4 (fma.f64 1/48 (pow.f64 b 3) 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(*.f64 (+.f64 (*.f64 b -1/4) 1) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 b -1/4 1))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 b b) -1/32))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b (*.f64 b -1/32)) (*.f64 b -1/4))))
(fma.f64 (sqrt.f64 1/2) (*.f64 b (+.f64 -1/4 (*.f64 b -1/32))) (sqrt.f64 1/2))
(*.f64 (+.f64 1 (*.f64 b (+.f64 -1/4 (*.f64 b -1/32)))) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 b (+.f64 -1/4 (*.f64 b -1/32)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b))))))
(+.f64 (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2)) (fma.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 b 3) 5/384))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (*.f64 b -1/4) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (pow.f64 b 3) 5/384) (*.f64 b (*.f64 b -1/32))))))
(fma.f64 (sqrt.f64 1/2) (*.f64 (*.f64 b b) (+.f64 (*.f64 b 5/384) -1/32)) (*.f64 (sqrt.f64 1/2) (fma.f64 b -1/4 1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 b -1/4 1) (*.f64 (*.f64 b b) (+.f64 -1/32 (*.f64 b 5/384)))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify60.0ms (1%)

Algorithm
1×egg-herbie
Rules
752×distribute-neg-frac_binary64
701×associate-*l*_binary64
700×fma-def_binary64
483×associate-*r*_binary64
415×times-frac_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033183
188181
2217177
3577171
41835170
57178170
Stop Event
1×node limit
Counts
34 → 36
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 1/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 1/2 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 1/2)))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 b (fma.f64 b 1/8 -1/4) 1/2))
(fma.f64 b (+.f64 -1/4 (*.f64 b (fma.f64 b -1/16 1/8))) 1/2)
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)) (/.f64 4 (pow.f64 b 3)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 1 b) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b))) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series3.0ms (0.1%)

Counts
1 → 4
Calls

6 calls:

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

rewrite56.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
528×pow1_binary64
504×add-sqr-sqrt_binary64
487×add-log-exp_binary64
487×log1p-expm1-u_binary64
487×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11006
213056
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) b)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (exp.f64 a) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) 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 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 2) (cbrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) b)) (sqrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (exp.f64 a) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 (exp.f64 a) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 b)))))))

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
698×distribute-rgt-out_binary64
536×unswap-sqr_binary64
525×associate-*l/_binary64
515×associate-*r/_binary64
493×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02164
15364
211464
324064
463162
5293661
6569961
7699561
Stop Event
1×node limit
Counts
34 → 37
Calls
Call 1
Inputs
(/.f64 1 b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b))))
Outputs
(/.f64 1 b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(+.f64 (/.f64 1 b) (/.f64 a b))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (/.f64 1 b)))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 1 b) (/.f64 a b)))
(+.f64 (/.f64 1 b) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b)))
(+.f64 (/.f64 a b) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (fma.f64 (/.f64 1/2 b) (*.f64 a a) (/.f64 a b)))
(+.f64 (/.f64 a b) (fma.f64 (/.f64 a b) (*.f64 a 1/2) (/.f64 1 b)))
(+.f64 (/.f64 1 b) (*.f64 (+.f64 (*.f64 a 1/2) 1) (/.f64 a b)))
(+.f64 (/.f64 1 b) (*.f64 (+.f64 1 (*.f64 a 1/2)) (/.f64 a b)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a 2) b)) (+.f64 (/.f64 a b) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 a 3) b)) (/.f64 1 b))))
(fma.f64 1/2 (/.f64 (*.f64 a a) b) (+.f64 (/.f64 a b) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 1 b))))
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 1 b)) (fma.f64 1/2 (/.f64 a (/.f64 b a)) (/.f64 a b)))
(+.f64 (/.f64 1 b) (fma.f64 1/2 (*.f64 (/.f64 a b) a) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (/.f64 a b))))
(+.f64 (/.f64 1 b) (fma.f64 1/6 (/.f64 (pow.f64 a 3) b) (fma.f64 (/.f64 1/2 b) (*.f64 a a) (/.f64 a b))))
(+.f64 (/.f64 a b) (+.f64 (/.f64 1 b) (*.f64 (*.f64 a (/.f64 a b)) (+.f64 1/2 (*.f64 a 1/6)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 a b)) (*.f64 a (*.f64 (/.f64 a b) (+.f64 1/2 (*.f64 a 1/6)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 a b)) (*.f64 (/.f64 a b) (*.f64 a (+.f64 1/2 (*.f64 a 1/6)))))

localize15.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 1/48 (pow.f64 b 3))
Compiler

Compiled 38 to 30 computations (21.1% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

TimeVariablePointExpression
1.0ms
b
@0
(*.f64 1/48 (pow.f64 b 3))
1.0ms
b
@inf
(*.f64 1/48 (pow.f64 b 3))
1.0ms
b
@-inf
(*.f64 1/48 (pow.f64 b 3))

rewrite54.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
498×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213237
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 1/48 (pow.f64 b 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/48 (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/48 (pow.f64 b 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (cbrt.f64 1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/48) (pow.f64 b 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 6) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/48) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/48 (pow.f64 b 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/48 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/48 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/48 (pow.f64 b 3))))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
11 → 11
Calls
Call 1
Inputs
Outputs

eval50.0ms (0.9%)

Compiler

Compiled 2081 to 1528 computations (26.6% saved)

prune40.0ms (0.7%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New1687175
Fresh167
Picked011
Done257
Total17119190
Error
0.2b
Counts
190 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
36.3b
(+.f64 1/2 (*.f64 1/4 a))
36.3b
1/2
▶23.3b
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓11.2b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓38.7b
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
✓2.1b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
✓37.9b
(+.f64 1/2 (*.f64 -1/4 b))
▶62.7b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
▶61.9b
(/.f64 1 b)
21.2b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
22.0b
(/.f64 (exp.f64 a) 2)
▶11.8b
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
✓37.9b
(/.f64 1 (+.f64 b 2))
23.4b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
36.7b
(pow.f64 (sqrt.f64 1/2) 2)
37.8b
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
▶62.1b
(+.f64 (/.f64 a b) (/.f64 1 b))
✓21.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 298 to 242 computations (18.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
✓0.5b
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
✓0.5b
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
✓0.5b
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series66.0ms (1.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
46.0ms
b
@-inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
16.0ms
b
@inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
1.0ms
b
@0
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
0.0ms
b
@0
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
0.0ms
b
@inf
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)

rewrite98.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
857×pow1_binary64
798×add-log-exp_binary64
798×expm1-log1p-u_binary64
797×log1p-expm1-u_binary64
780×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
120929
2227829
Stop Event
1×node limit
Counts
3 → 57
Calls
Call 1
Inputs
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))) (#(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 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (*.f64 (cbrt.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 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4)) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (*.f64 -1/2 (log1p.f64 (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) (pow.f64 (+.f64 1 (exp.f64 b)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1)) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1) (+.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (+.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1) (+.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))))))

simplify78.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
811×associate-*l/_binary64
674×associate-/l*_binary64
567×associate-/r*_binary64
391×distribute-rgt-in_binary64
385×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082661
1224566
2740549
33047539
Stop Event
1×node limit
Counts
93 → 82
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (pow.f64 2 -1/2)))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2)))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 5/64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (*.f64 -3/64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3))))) (pow.f64 b 3))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2))))
(+.f64 1/2 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)))
(fma.f64 -1/4 b 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 (+.f64 (*.f64 1/64 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 5/192 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b)) (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (sqrt.f64 1/2) 2)) (*.f64 1/16 (pow.f64 (sqrt.f64 1/2) 2))) (pow.f64 b 2)))))
(fma.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 1/24) (pow.f64 b 3) (+.f64 1/2 (fma.f64 -1/2 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) b) (*.f64 (*.f64 (pow.f64 (sqrt.f64 1/2) 2) 0) (*.f64 b b)))))
(+.f64 (fma.f64 0 (*.f64 b b) (*.f64 b -1/4)) (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 b -1/4 1/2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)))
(fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (sqrt.f64 1/2))
(fma.f64 (sqrt.f64 1/2) (*.f64 b -1/4) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 (*.f64 -1/32 (sqrt.f64 1/2)) (*.f64 b b))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (*.f64 (*.f64 b b) (*.f64 (sqrt.f64 1/2) -1/32))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b -1/4) (*.f64 b (*.f64 b -1/32)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 b (+.f64 -1/4 (*.f64 -1/32 b)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 1/2) b)) (+.f64 (*.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3))) (*.f64 -1/32 (*.f64 (sqrt.f64 1/2) (pow.f64 b 2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (fma.f64 5/384 (*.f64 (sqrt.f64 1/2) (pow.f64 b 3)) (*.f64 (*.f64 -1/32 (sqrt.f64 1/2)) (*.f64 b b)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/4 (*.f64 (sqrt.f64 1/2) b) (fma.f64 -1/32 (*.f64 (sqrt.f64 1/2) (*.f64 b b)) (*.f64 (*.f64 5/384 (pow.f64 b 3)) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 (sqrt.f64 1/2) (*.f64 b -1/4) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b (*.f64 b -1/32)) (*.f64 (pow.f64 b 3) 5/384)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 b -1/4) (*.f64 (*.f64 b b) (+.f64 -1/32 (*.f64 5/384 b))))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))
(log.f64 (+.f64 1 (pow.f64 2 -1/2)))
(log1p.f64 (pow.f64 2 -1/2))
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))
(fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2))) (log1p.f64 (pow.f64 2 -1/2)))
(fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) b) (log1p.f64 (pow.f64 2 -1/2)))
(fma.f64 -1/4 (*.f64 b (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (log1p.f64 (pow.f64 2 -1/2)))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (log.f64 (+.f64 1 (pow.f64 2 -1/2)))))
(fma.f64 1/2 (*.f64 (*.f64 b b) (*.f64 -1/16 (+.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))))) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2))) (log1p.f64 (pow.f64 2 -1/2))))
(fma.f64 (*.f64 -1/32 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (*.f64 b b) (fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) b) (log1p.f64 (pow.f64 2 -1/2))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (*.f64 -1/32 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (fma.f64 -1/4 (*.f64 b (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (log1p.f64 (pow.f64 2 -1/2))))
(fma.f64 1/2 (*.f64 (*.f64 b b) (*.f64 (/.f64 -1/16 (+.f64 1 (pow.f64 2 -1/2))) (+.f64 (/.f64 1/2 (+.f64 1 (pow.f64 2 -1/2))) (sqrt.f64 1/2)))) (fma.f64 -1/4 (*.f64 b (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (log1p.f64 (pow.f64 2 -1/2))))
(+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/16 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (pow.f64 b 2))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 5/64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (+.f64 (*.f64 -3/64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))) (*.f64 -1/32 (/.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3))))) (pow.f64 b 3))) (log.f64 (+.f64 1 (pow.f64 2 -1/2))))))
(fma.f64 1/2 (*.f64 (*.f64 b b) (*.f64 -1/16 (+.f64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))))) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 1/2) b) (+.f64 1 (pow.f64 2 -1/2))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (fma.f64 5/64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) (fma.f64 -3/64 (/.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (/.f64 (*.f64 -1/32 (pow.f64 (sqrt.f64 1/2) 3)) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3))))) (log1p.f64 (pow.f64 2 -1/2)))))
(fma.f64 (*.f64 -1/32 (+.f64 (/.f64 1/2 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (*.f64 b b) (fma.f64 -1/4 (*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) b) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 (*.f64 -1/64 (sqrt.f64 1/2)) (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 3)) (fma.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) 5/64 (/.f64 -3/128 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2))))) (log1p.f64 (pow.f64 2 -1/2)))))
(fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (*.f64 -1/32 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))))) (fma.f64 (fma.f64 -1/32 (pow.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) 3) (fma.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) 5/64 (/.f64 -3/128 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)))) (*.f64 (pow.f64 b 3) 1/6) (fma.f64 -1/4 (*.f64 b (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (log1p.f64 (pow.f64 2 -1/2)))))
(fma.f64 1/2 (*.f64 (*.f64 b b) (*.f64 (/.f64 -1/16 (+.f64 1 (pow.f64 2 -1/2))) (+.f64 (/.f64 1/2 (+.f64 1 (pow.f64 2 -1/2))) (sqrt.f64 1/2)))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 -1/256 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)) (*.f64 (*.f64 (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2))) (+.f64 5/64 (/.f64 -1/64 (pow.f64 (+.f64 1 (pow.f64 2 -1/2)) 2)))) 1/6)) (fma.f64 -1/4 (*.f64 b (/.f64 (sqrt.f64 1/2) (+.f64 1 (pow.f64 2 -1/2)))) (log1p.f64 (pow.f64 2 -1/2)))))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
(log.f64 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1))
(log.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))

localize7.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize16.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 9 computations (50% saved)

series6.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

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

rewrite79.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
917×pow1_binary64
859×add-log-exp_binary64
859×log1p-expm1-u_binary64
859×expm1-log1p-u_binary64
841×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2237110
Stop Event
1×node limit
Counts
1 → 52
Calls
Call 1
Inputs
(+.f64 (/.f64 a b) (/.f64 1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 a b) (/.f64 1 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 a b) 2) (/.f64 (-.f64 a 1) b)) (/.f64 (pow.f64 b -2) (/.f64 (-.f64 a 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 a b) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (+.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 a b) (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 1 b))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 1 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 1 b))) 2) (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 a b b)) b) (/.f64 (sqrt.f64 (fma.f64 a b b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a b b) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 b -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 a b) 2) (-.f64 (pow.f64 b -2) (/.f64 (/.f64 a b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 b -2)) (/.f64 1 (/.f64 (-.f64 a 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a 1) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b b) (fma.f64 a b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 a b) 2) (-.f64 (pow.f64 b -2) (/.f64 (/.f64 a b) b))) (+.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 a 1) b) (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 a b b) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 b -3)) (+.f64 (pow.f64 (/.f64 a b) 2) (-.f64 (pow.f64 b -2) (/.f64 (/.f64 a b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 b -3)) (+.f64 (pow.f64 b -2) (-.f64 (pow.f64 (/.f64 a b) 2) (/.f64 (/.f64 a b) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 b -2)) (/.f64 (-.f64 a 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 a b b)) (neg.f64 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 b -3))) (neg.f64 (+.f64 (pow.f64 (/.f64 a b) 2) (-.f64 (pow.f64 b -2) (/.f64 (/.f64 a b) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 b -2))) (neg.f64 (/.f64 (-.f64 a 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b (*.f64 (/.f64 b a) 1)) (*.f64 (/.f64 b a) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a (neg.f64 b)) (*.f64 b -1)) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 b) (*.f64 (/.f64 b a) -1)) (*.f64 (/.f64 b a) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (neg.f64 a) (neg.f64 b)) (*.f64 (neg.f64 b) -1)) (*.f64 (neg.f64 b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 b) (*.f64 (neg.f64 b) a)) (*.f64 (neg.f64 b) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 b a) b) (*.f64 b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (/.f64 b a)) (*.f64 (neg.f64 b) 1)) (*.f64 (neg.f64 b) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 b) (*.f64 b (neg.f64 a))) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1 (neg.f64 b)) (*.f64 (neg.f64 b) (neg.f64 a))) (*.f64 (neg.f64 b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b -2) (pow.f64 (/.f64 a b) 2)) (-.f64 (/.f64 1 b) (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 a b b) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 a b) (/.f64 1 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 a b) (/.f64 1 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 a b) (/.f64 1 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (fma.f64 a b b)) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 a b) (/.f64 1 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 a b) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 a b) (/.f64 1 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 a b) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 a b) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 a b) (/.f64 1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (/.f64 1 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 a b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 b) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b -2)) (/.f64 1 (cbrt.f64 b)) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (cbrt.f64 (/.f64 a b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (pow.f64 b -1/2) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 a b)) (/.f64 1 b))))))

simplify35.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
80×fma-def_binary64
78×fma-neg_binary64
28×div-sub_binary64
27×cancel-sign-sub-inv_binary64
25×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01396
12796
24996
39896
420796
543196
659196
Stop Event
1×saturated
Counts
67 → 56
Calls
Call 1
Inputs
(/.f64 1 b)
(/.f64 a b)
(/.f64 a b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
Outputs
(/.f64 1 b)
(/.f64 a b)
(/.f64 a b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(/.f64 (+.f64 1 a) b)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(/.f64 (+.f64 1 a) b)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(/.f64 (+.f64 1 a) b)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(/.f64 (+.f64 1 a) b)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 a) 1) b))
(/.f64 (+.f64 1 a) b)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
✓0.2b
(/.f64 (/.f64 -2 b) b)
Compiler

Compiled 25 to 17 computations (32% saved)

series5.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite115.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
951×prod-diff_binary64
442×log-prod_binary64
304×fma-def_binary64
237×log-div_binary64
236×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118917
2289317
Stop Event
1×node limit
Counts
2 → 211
Calls
Call 1
Inputs
(/.f64 (/.f64 -2 b) b)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 -2 (pow.f64 b -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 -2 (pow.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 -2 (pow.f64 b -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 -2 (pow.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -2 (pow.f64 b -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 1 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 b -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (*.f64 (cbrt.f64 (/.f64 -2 b)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -2) b) (/.f64 (sqrt.f64 -2) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2 b)) (*.f64 (sqrt.f64 (/.f64 -2 b)) (/.f64 1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 b) (/.f64 -1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (/.f64 -2 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) 1) (/.f64 (cbrt.f64 (/.f64 -2 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) 1) (/.f64 (sqrt.f64 (/.f64 -2 b)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 b)) (pow.f64 b -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (pow.f64 b -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -2) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -8 (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b b) -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b (*.f64 b -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -2 b) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (pow.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 -8 (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (pow.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -2 (pow.f64 b -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 b -2)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 b -2)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 -1 (/.f64 -1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 -1 b)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 1 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 b) (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 -2 b) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -2 b) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b (/.f64 -2 b)) (neg.f64 b)) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 b) 1) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -8 (pow.f64 b 6)) (pow.f64 (neg.f64 b) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (+.f64 (pow.f64 b -2) (/.f64 2 (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (pow.f64 b -2)) (/.f64 1 (fma.f64 -2 (pow.f64 b -2) (/.f64 -1 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) 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((x fma.f64 (-.f64 (/.f64 -8 (pow.f64 b 6)) (pow.f64 (neg.f64 b) -3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (+.f64 (pow.f64 b -2) (/.f64 2 (pow.f64 b 3))))) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (/.f64 -2 b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (/.f64 -2 b) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (pow.f64 b -2)) (/.f64 1 (fma.f64 -2 (pow.f64 b -2) (/.f64 -1 b))) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (pow.f64 b -2)) (/.f64 1 (fma.f64 -2 (pow.f64 b -2) (/.f64 -1 b))) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (pow.f64 b -2)) (/.f64 1 (fma.f64 -2 (pow.f64 b -2) (/.f64 -1 b))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 -2) b) 4) (pow.f64 b -2)) (/.f64 1 (fma.f64 -2 (pow.f64 b -2) (/.f64 -1 b))) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 b)) 2) (cbrt.f64 (/.f64 1 b)) (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 b)) (sqrt.f64 (/.f64 1 b)) (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (neg.f64 b) -1/2)) (pow.f64 (neg.f64 b) -1/2) (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) 1) (/.f64 (cbrt.f64 (/.f64 -2 b)) b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) 1) (/.f64 (cbrt.f64 (/.f64 -2 b)) b) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) 1) (/.f64 (sqrt.f64 (/.f64 -2 b)) b) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) 1) (/.f64 (sqrt.f64 (/.f64 -2 b)) b) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (pow.f64 (cbrt.f64 b) 2)) (/.f64 (/.f64 1 b) (cbrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 b)) (pow.f64 b -3/2) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 b)) (pow.f64 b -3/2) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 -1 b)) (*.f64 -2 (pow.f64 b -2)))))))

simplify66.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
732×times-frac_binary64
554×fma-neg_binary64
533×associate-/r*_binary64
494×associate-/l/_binary64
434×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011216
125216
245216
399216
4264216
5952216
65098216
Stop Event
1×node limit
Counts
235 → 215
Calls
Call 1
Inputs
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (pow.f64 b 2))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
Outputs
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(/.f64 -2 (pow.f64 b 2))
(/.f64 -2 (*.f64 b b))
(/.f64 (/.f64 -2 b) b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(*.f64 (/.f64 1 b) (-.f64 (/.f64 -2 b) -1))
(*.f64 (/.f64 1 b) (+.f64 (/.f64 -2 b) 1))

localize20.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 23 to 10 computations (56.5% saved)

series9.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
2.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
1.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
1.0ms
b
@inf
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))

rewrite91.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
630×unpow-prod-down_binary64
573×prod-diff_binary64
441×log-prod_binary64
260×fma-def_binary64
253×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
118412
2271212
Stop Event
1×node limit
Counts
1 → 70
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 a) (/.f64 1 (+.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) 2) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 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 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (*.f64 (cbrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (*.f64 (sqrt.f64 (exp.f64 a)) (/.f64 1 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (+.f64 (neg.f64 (+.f64 a b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (exp.f64 a)) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (+.f64 a b)) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a (+.f64 2 b))) (exp.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 a (+.f64 2 b))) (pow.f64 (/.f64 1 (exp.f64 a)) -1))))) (#(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 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a (+.f64 2 b)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a (+.f64 2 b)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (+.f64 8 (pow.f64 (+.f64 a b) 3))) (fma.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 a) (-.f64 4 (pow.f64 (+.f64 a b) 2))) (-.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 a (+.f64 2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 a (+.f64 2 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) 1) (pow.f64 (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) 1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (+.f64 a (+.f64 2 b)))) 1) (pow.f64 (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 a (+.f64 2 b)))) 1) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 a (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 8 (pow.f64 (+.f64 a b) 3))) 1) (fma.f64 (+.f64 a b) (-.f64 (+.f64 a b) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (-.f64 4 (pow.f64 (+.f64 a b) 2))) 1) (-.f64 2 (+.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 2) (exp.f64 a)) 1/3) (cbrt.f64 (/.f64 1 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 2) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 2) (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 2) 3) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 a (+.f64 2 b)) (exp.f64 a))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) (exp.f64 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (+.f64 a (+.f64 2 b)) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) (pow.f64 (cbrt.f64 (exp.f64 a)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) (cbrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (+.f64 a (+.f64 2 b)) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) 2) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 a (+.f64 2 b))) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) (sqrt.f64 (exp.f64 a))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 a (+.f64 2 b))) (sqrt.f64 (exp.f64 a))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 a (+.f64 2 b)) (exp.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a (+.f64 2 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 a (+.f64 2 b)) (exp.f64 a)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 a) (+.f64 (neg.f64 (+.f64 a b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 a (+.f64 2 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log.f64 (+.f64 a (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 a (log.f64 (+.f64 a (+.f64 2 b)))) 1))))))

simplify86.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
659×associate-/l/_binary64
429×times-frac_binary64
333×distribute-rgt-neg-in_binary64
296×fma-def_binary64
288×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086933
1252904
2866846
34998760
Stop Event
1×node limit
Counts
94 → 98
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/6 (/.f64 1 (+.f64 2 b)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 4)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (exp.f64 a)) (pow.f64 a 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 3) (exp.f64 a)) (pow.f64 a 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (exp.f64 a)) (pow.f64 a 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) a)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))
(+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (exp.f64 a)) (pow.f64 a 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 3) (exp.f64 a)) (pow.f64 a 4))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 2 b) 2) (exp.f64 a)) (pow.f64 a 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 b) (exp.f64 a)) (pow.f64 a 2))) (/.f64 (exp.f64 a) a))))
(/.f64 (exp.f64 a) (+.f64 2 a))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a)))
(+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 2 a) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (/.f64 (exp.f64 a) (+.f64 2 a))))
(+.f64 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 2)) (pow.f64 (+.f64 2 a) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 2 a) 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 2 a)) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) (pow.f64 b 3)) (pow.f64 (+.f64 2 a) 4))))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 2) (exp.f64 a)) (pow.f64 b 3))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 3) (exp.f64 a)) (pow.f64 b 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 2) (exp.f64 a)) (pow.f64 b 3)))))
(/.f64 (exp.f64 a) b)
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))) (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 2) (exp.f64 a)) (pow.f64 b 3))))
(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 3) (exp.f64 a)) (pow.f64 b 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 2) (exp.f64 a)) (pow.f64 b 3)))))
Outputs
(/.f64 1 (+.f64 2 b))
(+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))))
(fma.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b)))
(fma.f64 a (+.f64 (/.f64 1 (+.f64 2 b)) (/.f64 -1 (pow.f64 (+.f64 2 b) 2))) (/.f64 1 (+.f64 2 b)))
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (*.f64 1/2 (/.f64 1 (+.f64 2 b)))) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1 (pow.f64 (+.f64 2 b) 3)) (-.f64 (/.f64 1/2 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2)))) (+.f64 (/.f64 1 (+.f64 2 b)) (*.f64 a (-.f64 (/.f64 1 (+.f64 2 b)) (/.f64 1 (pow.f64 (+.f64 2 b) 2))))))
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(+.f64 (/.f64 (exp.f64 a) b) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 2 a) (exp.f64 a)) (pow.f64 b 2))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 3) (exp.f64 a)) (pow.f64 b 4))) (/.f64 (*.f64 (pow.f64 (+.f64 2 a) 2) (exp.f64 a)) (pow.f64 b 3)))))
(+.f64 (/.f64 (exp.f64 a) b) (fma.f64 -1 (/.f64 (+.f64 2 a) (/.f64 (*.f64 b b) (exp.f64 a))) (fma.f64 -1 (/.f64 (pow.f64 (+.f64 2 a) 3) (/.f64 (pow.f64 b 4) (exp.f64 a))) (/.f64 (pow.f64 (+.f64 2 a) 2) (/.f64 (pow.f64 b 3) (exp.f64 a))))))
(+.f64 (/.f64 (exp.f64 a) b) (-.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 3)) (exp.f64 a)) (/.f64 (exp.f64 a) (/.f64 (pow.f64 b 4) (pow.f64 (+.f64 2 a) 3)))) (*.f64 (/.f64 (exp.f64 a) b) (/.f64 (+.f64 2 a) b))))
(fma.f64 -1 (*.f64 (exp.f64 a) (+.f64 (/.f64 (+.f64 2 a) (*.f64 b b)) (/.f64 (pow.f64 (+.f64 2 a) 3) (pow.f64 b 4)))) (fma.f64 (/.f64 (pow.f64 (+.f64 2 a) 2) (pow.f64 b 3)) (exp.f64 a) (/.f64 (exp.f64 a) b)))
(+.f64 (/.f64 (exp.f64 a) b) (*.f64 (/.f64 (/.f64 (exp.f64 a) b) b) (-.f64 (-.f64 (/.f64 (pow.f64 (+.f64 2 a) 2) b) (/.f64 (pow.f64 (+.f64 2 a) 3) (*.f64 b b))) (+.f64 2 a))))

eval344.0ms (5.8%)

Compiler

Compiled 8069 to 5833 computations (27.7% saved)

prune158.0ms (2.7%)

Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New4687475
Fresh358
Picked011
Done3710
Total47420494
Error
0.2b
Counts
494 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
62.7b
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
36.3b
(+.f64 1/2 (*.f64 1/4 a))
13.2b
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
56.6b
(/.f64 a b)
23.4b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
36.9b
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) 2)
✓23.3b
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
✓11.2b
(/.f64 1 (+.f64 1 (exp.f64 b)))
23.3b
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))
✓38.7b
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
✓2.1b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
✓61.9b
(/.f64 1 b)
21.2b
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
✓37.9b
(/.f64 1 (+.f64 b 2))
36.7b
(pow.f64 (sqrt.f64 1/2) 2)
✓37.9b
(+.f64 1/2 (*.f64 -1/4 b))
36.3b
1/2
✓21.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
22.0b
(/.f64 (exp.f64 a) 2)
Compiler

Compiled 174 to 144 computations (17.2% saved)

regimes146.0ms (2.5%)

Counts
34 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
(/.f64 a b)
(/.f64 1 b)
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 (exp.f64 a) b)
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
(pow.f64 (sqrt.f64 1/2) 2)
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(pow.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) 2)
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(/.f64 (exp.f64 a) (expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

42.0ms
(exp.f64 b)
38.0ms
b
32.0ms
a
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.0b1a
1.0b1b
1.0b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0b1(exp.f64 a)
1.0b1(exp.f64 b)
Compiler

Compiled 276 to 181 computations (34.4% saved)

regimes128.0ms (2.2%)

Counts
27 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(/.f64 a b)
(/.f64 1 b)
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 (exp.f64 a) b)
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
(pow.f64 (sqrt.f64 1/2) 2)
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 b)))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) (exp.f64 a))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Outputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

28.0ms
b
26.0ms
a
12.0ms
(exp.f64 b)
10.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.0b2a
1.0b2b
1.0b2(exp.f64 a)
1.0b2(exp.f64 b)
Compiler

Compiled 192 to 132 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9989207575412214
0.9999938205325868
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes116.0ms (2%)

Counts
22 → 3
Calls
Call 1
Inputs
1/2
1/2
1/2
(/.f64 a b)
(/.f64 1 b)
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 (exp.f64 a) b)
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a)))
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 (+.f64 a 1) (/.f64 1 (+.f64 2 b))) (/.f64 (neg.f64 a) (pow.f64 (+.f64 2 b) 2)))
(pow.f64 (sqrt.f64 1/2) 2)
(pow.f64 (sqrt.f64 1/2) 2)
Outputs
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

6 calls:

49.0ms
a
32.0ms
b
8.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.1b2a
0.9b3b
1.2b2(exp.f64 a)
1.2b2(exp.f64 a)
0.9b3(exp.f64 b)
0.9b3(exp.f64 b)
Compiler

Compiled 160 to 117 computations (26.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.755211877041801e+105
+inf
0.0ms
0.0
0.9306522860304315
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes112.0ms (1.9%)

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

6 calls:

51.0ms
a
35.0ms
b
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.1b2a
0.9b3b
1.2b2(exp.f64 a)
1.2b2(exp.f64 a)
0.9b3(exp.f64 b)
0.9b3(exp.f64 b)
Compiler

Compiled 102 to 71 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.755211877041801e+105
+inf
0.0ms
0.0
0.9306522860304315
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes91.0ms (1.5%)

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

5 calls:

45.0ms
a
24.0ms
b
8.0ms
(exp.f64 b)
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.1b2a
1.3b3b
1.3b2(exp.f64 a)
1.3b3(exp.f64 b)
1.3b3(exp.f64 b)
Compiler

Compiled 90 to 64 computations (28.9% saved)

bsearch130.0ms (2.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
130.0ms
-94262470302.77673
-18273231.154325806
Compiler

Compiled 143 to 114 computations (20.3% saved)

regimes100.0ms (1.7%)

Counts
14 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(/.f64 a b)
(/.f64 1 b)
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 (exp.f64 a) b)
(/.f64 (exp.f64 a) 2)
Outputs
(/.f64 (exp.f64 a) 2)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

3 calls:

55.0ms
b
29.0ms
a
9.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
12.9b2a
11.3b2b
12.9b2(exp.f64 a)
Compiler

Compiled 76 to 53 computations (30.3% saved)

bsearch33.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
33.0ms
243.6817491012524
15542118531016577000.0
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes80.0ms (1.4%)

Counts
13 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(/.f64 a b)
(/.f64 1 b)
(/.f64 1 (+.f64 b 2))
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 (+.f64 (/.f64 -2 b) 1) b)
(+.f64 (/.f64 a b) (/.f64 1 b))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(/.f64 (exp.f64 a) b)
Outputs
(/.f64 (exp.f64 a) b)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

3 calls:

33.0ms
b
31.0ms
a
10.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
13.0b2a
21.4b2b
13.0b2(exp.f64 a)
Compiler

Compiled 72 to 51 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9717814225748053
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes52.0ms (0.9%)

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

2 calls:

30.0ms
b
15.0ms
a
Results
ErrorSegmentsBranch
23.4b1a
21.4b2b
Compiler

Compiled 64 to 46 computations (28.1% saved)

bsearch33.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
32.0ms
-5.3292848264969346e-108
-1.480628954273887e-120
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes82.0ms (1.4%)

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

2 calls:

51.0ms
a
26.0ms
b
Results
ErrorSegmentsBranch
36.3b1a
30.9b2b
Compiler

Compiled 55 to 38 computations (30.9% saved)

bsearch38.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
38.0ms
0.01594305247736646
61.723953214431766
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes33.0ms (0.6%)

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

2 calls:

20.0ms
b
10.0ms
a
Results
ErrorSegmentsBranch
36.3b1a
31.0b2b
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch66.0ms (1.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
65.0ms
0.01594305247736646
61.723953214431766
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

5.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
36.3b1a
36.3b1b
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify13.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
11×+-commutative_binary64
1×*-commutative_binary64
1×+-lft-identity_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058269
174269
275269
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 8998192055486251/9007199254740992) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))
(if (<=.f64 a -92000000000) (/.f64 (exp.f64 a) b) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 8573789331635867/35184372088832) (/.f64 (exp.f64 a) 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) b) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b -3522955543939103/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 4595272012557815/288230376151711744) (+.f64 1/2 (*.f64 1/4 a)) (/.f64 a b))
(if (<=.f64 b 4595272012557815/288230376151711744) 1/2 (/.f64 a b))
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 8998192055486251/9007199254740992) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 8998192055486251/9007199254740992) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (+.f64 0 (/.f64 (exp.f64 a) (+.f64 a (+.f64 2 b)))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (/.f64 (exp.f64 a) (+.f64 a (+.f64 b 2))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 1 (exp.f64 b))) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 b a))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)))
(if (<=.f64 (exp.f64 b) 0) (/.f64 1 (+.f64 (exp.f64 b) 1)) (if (<=.f64 (exp.f64 b) 10000000000000000910359990503684350104604539951754865571545457374840902895351334152154180097541612190564352) (/.f64 (exp.f64 a) (+.f64 2 (+.f64 a b))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1)))
(if (<=.f64 a -92000000000) (/.f64 (exp.f64 a) b) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -92000000000) (/.f64 (exp.f64 a) b) (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b 8573789331635867/35184372088832) (/.f64 (exp.f64 a) 2) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 8573789331635867/35184372088832) (/.f64 (exp.f64 a) 2) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) b) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 (exp.f64 a) 0) (/.f64 (exp.f64 a) b) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b -3522955543939103/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b -3522955543939103/661055968790248598951915308032771039828404682964281219284648795274405791236311345825189210439715284847591212025023358304256) (+.f64 1/2 (*.f64 a 1/4)) (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 4595272012557815/288230376151711744) (+.f64 1/2 (*.f64 1/4 a)) (/.f64 a b))
(if (<=.f64 b 4595272012557815/288230376151711744) (+.f64 1/2 (*.f64 a 1/4)) (/.f64 a b))
(if (<=.f64 b 4595272012557815/288230376151711744) 1/2 (/.f64 a b))
1/2
Compiler

Compiled 202 to 152 computations (24.8% saved)

soundness326.0ms (5.5%)

Algorithm
3×egg-herbie
Rules
1173×fma-def_binary64
870×fma-neg_binary64
763×distribute-rgt-in_binary64
761×sqr-pow_binary64
746×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
090686
1273662
2875638
33997617
0911052
12721022
2882986
34273934
02781
16975
217671
351067
4123566
5212864
6311464
7340764
8365064
9395664
10430564
11476564
12533064
13603364
14690164
15737364
16782464
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 56 to 42 computations (25% saved)

end110.0ms (1.9%)

Compiler

Compiled 182 to 120 computations (34.1% saved)

Profiling

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