Details

Time bar (total: 6.3s)

analyze21.0ms (0.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
62.4%37.5%0.1%4
68.7%31.2%0.1%5
68.7%18.7%12.6%6
68.7%17.2%14.1%7
68.7%10.1%21.2%8
68.7%9%22.3%9
68.7%5.3%26%10
68.7%4.6%26.7%11
68.7%2.7%28.6%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (21.2%)

Results
1.3s8256×body256valid
52.0ms190×body256invalid

preprocess15.0ms (0.2%)

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)

simplify18.0ms (0.3%)

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
1.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.5b
(/.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))
✓1.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series8.0ms (0.1%)

Counts
2 → 16
Calls

12 calls:

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

rewrite72.0ms (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))))))

simplify64.0ms (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)))

eval29.0ms (0.5%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune19.0ms (0.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New89594
Fresh000
Picked101
Done000
Total90595
Error
0.2b
Counts
95 → 5
Alt Table
Click to see full alt table
StatusErrorProgram
▶25.8b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
▶24.5b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶25.5b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
▶12.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶1.5b
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
Compiler

Compiled 122 to 86 computations (29.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
1.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 44 to 13 computations (70.5% saved)

series5.0ms (0.1%)

Counts
2 → 32
Calls

12 calls:

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

rewrite89.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
940×prod-diff_binary64
543×fma-def_binary64
484×log-prod_binary64
257×fma-neg_binary64
182×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01035
122229
2333029
Stop Event
1×node limit
Counts
2 → 161
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 0)))) (#(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 0 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 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simplify75.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
835×fma-neg_binary64
758×distribute-rgt-in_binary64
422×fma-def_binary64
265×associate-+l+_binary64
261×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0961374
13111340
29511292
346101248
Stop Event
1×node limit
Counts
193 → 191
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 (+.f64 1 (exp.f64 b))))
(+.f64 1 (+.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 1 (+.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 1 (+.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 (exp.f64 a) (+.f64 1 (exp.f64 a))) 1)
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 1 (*.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 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (*.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 -1 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))) (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)))))))
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 a 1) (/.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 (+.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 (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 (/.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 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 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (-.f64 (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 (+.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 (neg.f64 a) (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b))
(-.f64 (/.f64 (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 (*.f64 b b) (fma.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
(-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 (*.f64 b b) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (+.f64 (*.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 b (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))
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(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 (-.f64 1 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.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 b b) (-.f64 (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (-.f64 (-.f64 1 (*.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 1 (*.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 (fma.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)) (neg.f64 (+.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)))))

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite68.0ms (1.1%)

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 (exp.f64 b))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
((#(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)))))
((#(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))))))))

simplify187.0ms (3%)

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
350667
4122166
5210364
6308964
7338264
8362564
9393464
10428164
11474164
12530864
13601164
14687764
15734964
16779664
Stop Event
1×node limit
Counts
65 → 70
Calls
Call 1
Inputs
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)))))
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))))
Outputs
2
(+.f64 2 b)
(+.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 2 (fma.f64 b (*.f64 b 1/2) b))
(fma.f64 (fma.f64 b 1/2 1) b 2)
(fma.f64 b (fma.f64 b 1/2 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 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/2) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2))
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b))
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2)
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 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 b -1/4)))
(+.f64 1/2 (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 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 b -1/4))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 1/2)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite67.0ms (1.1%)

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

simplify163.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
679×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01843
14639
210537
326037
446537
595137
6137137
7200737
8211437
9227537
10248837
11281837
12327437
13387337
14462837
15556237
16607437
17656437
18696237
19728237
20744037
Stop Event
1×node limit
Counts
37 → 40
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))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(fma.f64 1/480 (pow.f64 a 5) (fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) 1/2))
(fma.f64 a (fma.f64 a (*.f64 a -1/48) 1/4) (fma.f64 1/480 (pow.f64 a 5) 1/2))

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 a) (+.f64 1 b))
✓1.2b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
Compiler

Compiled 25 to 13 computations (48% saved)

series11.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

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

rewrite95.0ms (1.5%)

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) 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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)))))

simplify83.0ms (1.3%)

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))

localize35.0ms (0.6%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
✓0.0b
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
1.2b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 53 to 27 computations (49.1% saved)

series26.0ms (0.4%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
b
@-inf
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
4.0ms
b
@0
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
3.0ms
a
@0
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
2.0ms
a
@inf
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
2.0ms
a
@inf
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))

rewrite117.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
578×log-prod_binary64
460×prod-diff_binary64
292×fma-def_binary64
285×pow2_binary64
200×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
124232
2368032
Stop Event
1×node limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2)) (*.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 b b)) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (*.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) 1) (/.f64 (cbrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 b (cbrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 b b)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 b (sqrt.f64 (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 (exp.f64 a)) b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 1 (exp.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (sqrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (exp.f64 a)) (/.f64 1 (fma.f64 -1 (exp.f64 a) -1)) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (exp.f64 a) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (exp.f64 a) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (exp.f64 a) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) 1) (/.f64 (sqrt.f64 (exp.f64 a)) (+.f64 1 (exp.f64 a))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (cbrt.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (exp.f64 a)) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 a))) 2)) (/.f64 (sqrt.f64 (exp.f64 a)) (cbrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 a)) 2) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (/.f64 (cbrt.f64 (exp.f64 a)) (sqrt.f64 (+.f64 1 (exp.f64 a)))) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (+.f64 1 (pow.f64 (exp.f64 a) 3))) (fma.f64 (exp.f64 a) (expm1.f64 a) 1) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (*.f64 (/.f64 b (+.f64 1 (exp.f64 a))) (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (exp.f64 a) (-.f64 1 (pow.f64 (exp.f64 a) 2))) (-.f64 1 (exp.f64 a)) (*.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) (/.f64 b (+.f64 1 (exp.f64 a)))))))))

simplify87.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
834×fma-def_binary64
587×times-frac_binary64
440×associate-+l+_binary64
427×fma-neg_binary64
374×associate-+r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931260
13341155
21215913
35787821
Stop Event
1×node limit
Counts
195 → 170
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1/2 b)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (*.f64 1/4 (*.f64 a b))))
(+.f64 (*.f64 -1/2 b) (+.f64 (*.f64 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)) (pow.f64 a 2)) (+.f64 (*.f64 1/4 (*.f64 a b)) (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/16 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b)))))))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.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 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.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 -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 -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 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.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 -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 -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 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))
(*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))
(+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1))))
(+.f64 (*.f64 (pow.f64 a 2) (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/4 b) (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (+.f64 (*.f64 a (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 (pow.f64 a 3) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/16 b) (+.f64 (*.f64 1/24 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/6 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/4 b) (*.f64 -1/2 (+.f64 (*.f64 1/8 b) (*.f64 -1/8 b))))))))) (+.f64 (*.f64 1/24 (+.f64 (*.f64 -1/2 b) 1)) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 1/8 b) (+.f64 (*.f64 -1/8 b) (+.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) 1)) (*.f64 1/4 b))))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))) (*.f64 1/8 (+.f64 (*.f64 -1/2 b) 1))))) (*.f64 1/4 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/2 b) (+.f64 1 (*.f64 1/4 b)))) (*.f64 1/4 (+.f64 (*.f64 -1/2 b) 1)))))))))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
Outputs
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))
(neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))
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(-.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (exp.f64 a) (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (exp.f64 a)) (+.f64 1 (exp.f64 a)))
(+.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 (exp.f64 a) (/.f64 (-.f64 1 (/.f64 b (+.f64 1 (exp.f64 a)))) (+.f64 1 (exp.f64 a))))

eval456.0ms (7.2%)

Compiler

Compiled 16763 to 8745 computations (47.8% saved)

prune118.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New7747781
Fresh000
Picked101
Done314
Total7788786
Error
0.2b
Counts
786 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶40.6b
(+.f64 1/2 (*.f64 1/4 a))
▶41.6b
(+.f64 1/2 (*.f64 -1/4 b))
12.8b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
▶45.9b
(/.f64 (exp.f64 a) b)
▶41.7b
(/.f64 1 (+.f64 2 b))
✓12.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
40.4b
1/2
▶12.5b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
Compiler

Compiled 109 to 94 computations (13.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 34 to 24 computations (29.4% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite67.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
930×pow1_binary64
871×add-log-exp_binary64
871×log1p-expm1-u_binary64
871×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
118321
2268521
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)))) (#(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 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (neg.f64 (log1p.f64 (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 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(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 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 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(#(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 (/.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 pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 (+.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 fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (hypot.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)) -3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))) (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) 1) (-.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 1)))))

simplify167.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
780×sqr-pow_binary64
708×cube-prod_binary64
675×fabs-mul_binary64
660×pow-sqr_binary64
521×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026158
163154
2140146
3360146
4654146
51192146
61679146
72315146
82422146
92584146
102797146
113127146
123583146
134181146
144935146
155871146
166377146
176865146
187261146
197581146
207739146
Stop Event
1×node limit
Counts
100 → 98
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 -1/4 b (*.f64 1/48 (pow.f64 b 3))))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2))
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 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)))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 3/2)
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)) 3/2)
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 -1/4 b 3/2))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) 3/2)
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) 3/2)
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) 3/2)
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 3/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2)))
(fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) 3/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 3/2)))
(fma.f64 b (fma.f64 1/48 (*.f64 b b) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 3/2))

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
619×pow1_binary64
580×add-log-exp_binary64
579×log1p-expm1-u_binary64
579×expm1-log1p-u_binary64
570×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11307
215857
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 1 (+.f64 2 b))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 2 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))))))

simplify54.0ms (0.9%)

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)))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series6.0ms (0.1%)

Counts
1 → 4
Calls

6 calls:

TimeVariablePointExpression
4.0ms
a
@-inf
(/.f64 (exp.f64 a) b)
1.0ms
a
@0
(/.f64 (exp.f64 a) b)
0.0ms
a
@inf
(/.f64 (exp.f64 a) b)
0.0ms
b
@-inf
(/.f64 (exp.f64 a) b)
0.0ms
b
@0
(/.f64 (exp.f64 a) b)

rewrite49.0ms (0.8%)

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)))))))

simplify61.0ms (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)))))

eval86.0ms (1.4%)

Compiler

Compiled 3258 to 2427 computations (25.5% saved)

prune41.0ms (0.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New2356241
Fresh112
Picked011
Done055
Total23613249
Error
0.2b
Counts
249 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓40.6b
(+.f64 1/2 (*.f64 1/4 a))
✓41.6b
(+.f64 1/2 (*.f64 -1/4 b))
▶26.1b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
40.4b
1/2
✓41.7b
(/.f64 1 (+.f64 2 b))
✓12.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
▶41.6b
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
42.3b
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
✓12.5b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
▶62.5b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
✓45.9b
(/.f64 (exp.f64 a) b)
▶61.8b
(/.f64 1 b)
▶13.0b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1)
Compiler

Compiled 170 to 147 computations (13.5% saved)

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
✓0.0b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1)
✓0.0b
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
✓0.5b
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))
Compiler

Compiled 59 to 45 computations (23.7% saved)

series9.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
5.0ms
b
@inf
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1)
1.0ms
b
@inf
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
1.0ms
b
@-inf
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
0.0ms
b
@0
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))
0.0ms
b
@0
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)

rewrite91.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
408×log-prod_binary64
393×fma-def_binary64
365×prod-diff_binary64
260×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01142
124836
2308836
Stop Event
1×node limit
Counts
3 → 188
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3))
(pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1)
Outputs
((#(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 0 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1))))) (#(struct:change #<rule egg-rr> 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#<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))))) (#(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 (exp.f64 b)) 2) -1/2)))) (#(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 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)))) (#(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 (/.f64 1 (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 pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(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 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.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 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1/3))))) (#(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 exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log1p.f64 (exp.f64 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -3)) (/.f64 1 (fma.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (expm1.f64 (neg.f64 (log1p.f64 (exp.f64 b)))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (-.f64 1 (exp.f64 b)) 0)))))

simplify79.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
989×fma-def_binary64
488×associate-/l/_binary64
401×unswap-sqr_binary64
377×associate-/r/_binary64
359×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042297
198291
2228280
3655273
41572270
52568270
63411270
73713270
84358270
97018270
Stop Event
1×node limit
Counts
216 → 209
Calls
Call 1
Inputs
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
27/8
(+.f64 27/8 (*.f64 -27/16 b))
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (*.f64 9/32 (pow.f64 b 2))))
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (+.f64 (*.f64 9/32 (pow.f64 b 2)) (*.f64 1/8 (pow.f64 b 3)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 3/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)))
(+.f64 3/2 (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) 3/2))
(+.f64 3/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 3/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))))
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 3/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 3/2)))
(fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 -1/480 (pow.f64 b 5) 3/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 3/2))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
(+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))
27/8
(+.f64 27/8 (*.f64 -27/16 b))
(+.f64 27/8 (*.f64 b -27/16))
(fma.f64 b -27/16 27/8)
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (*.f64 9/32 (pow.f64 b 2))))
(+.f64 27/8 (fma.f64 -27/16 b (*.f64 9/32 (*.f64 b b))))
(+.f64 27/8 (fma.f64 b -27/16 (*.f64 9/32 (*.f64 b b))))
(fma.f64 b -27/16 (fma.f64 b (*.f64 b 9/32) 27/8))
(fma.f64 b (fma.f64 b 9/32 -27/16) 27/8)
(+.f64 27/8 (+.f64 (*.f64 -27/16 b) (+.f64 (*.f64 9/32 (pow.f64 b 2)) (*.f64 1/8 (pow.f64 b 3)))))
(+.f64 27/8 (fma.f64 -27/16 b (fma.f64 9/32 (*.f64 b b) (*.f64 (pow.f64 b 3) 1/8))))
(+.f64 27/8 (fma.f64 b -27/16 (fma.f64 (pow.f64 b 3) 1/8 (*.f64 9/32 (*.f64 b b)))))
(+.f64 (fma.f64 b -27/16 27/8) (*.f64 (*.f64 b b) (+.f64 9/32 (*.f64 b 1/8))))
(fma.f64 b (fma.f64 b 9/32 -27/16) (fma.f64 (pow.f64 b 3) 1/8 27/8))
(fma.f64 b (fma.f64 b (fma.f64 b 1/8 9/32) -27/16) 27/8)
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 1/2)
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b)) 1/2)
(+.f64 (*.f64 1/48 (pow.f64 b 3)) (fma.f64 -1/4 b 1/2))
(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 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 -1/4 b))) 1/2)
(+.f64 (fma.f64 -1/480 (pow.f64 b 5) (*.f64 1/48 (pow.f64 b 3))) (fma.f64 -1/4 b 1/2))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) 1/2)))
(fma.f64 -1/4 b (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/480 (pow.f64 b 5) 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)))

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
Compiler

Compiled 21 to 17 computations (19% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
b
@0
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
0.0ms
b
@inf
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
0.0ms
b
@-inf
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)

rewrite103.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0810
11797
222667
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 3/2 (fma.f64 -1/4 b -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 3/2 (*.f64 (fma.f64 -1/4 b -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 b) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/4 b 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -1/4 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/4 b -1) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/4 b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/4 b) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) 2) (cbrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) (sqrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) (+.f64 (*.f64 -1/4 b) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) -1) (/.f64 1 (+.f64 (*.f64 -1/4 b) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -1/4 b 3/2)) 1) (-.f64 (sqrt.f64 (fma.f64 -1/4 b 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) (+.f64 (*.f64 -1/4 b) 5/2)) (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 -1/4 b) 5/2) (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) (+.f64 (*.f64 -1/4 b) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 3) -1) (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) (-.f64 1 (*.f64 (fma.f64 -1/4 b 3/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) -1) (+.f64 (*.f64 -1/4 b) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) -1) (-.f64 (fma.f64 -1/4 b 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) (+.f64 (*.f64 -1/4 b) 5/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/4 b 3/2) 2) -1)) (neg.f64 (+.f64 (*.f64 -1/4 b) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 27/8 (pow.f64 (fma.f64 -1/4 b -1) 3)) (+.f64 9/4 (-.f64 (*.f64 (fma.f64 -1/4 b -1) (fma.f64 -1/4 b -1)) (*.f64 3/2 (fma.f64 -1/4 b -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 9/4 (*.f64 (fma.f64 -1/4 b -1) (fma.f64 -1/4 b -1))) (-.f64 3/2 (fma.f64 -1/4 b -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 -1/4 b) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 -1/4 b) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 -1/4 b) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 -1/4 b) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (*.f64 -1/4 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 -1/4 b) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (fma.f64 -1/4 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 -1/4 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 -1/4 b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/4 b 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 b 3/2)) 2) (cbrt.f64 (fma.f64 -1/4 b 3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/4 b 3/2)) (sqrt.f64 (fma.f64 -1/4 b 3/2)) -1)))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-def_binary64
1×+-commutative_binary64
1×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0672
1854
21054
Stop Event
1×saturated
Counts
49 → 41
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(*.f64 -1/4 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(*.f64 -1/4 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 -1/4 b))
Outputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(*.f64 -1/4 b)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(*.f64 -1/4 b)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)
(+.f64 1/2 (*.f64 -1/4 b))
(fma.f64 -1/4 b 1/2)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
953×pow1_binary64
897×add-log-exp_binary64
896×log1p-expm1-u_binary64
896×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
119017
2270317
Stop Event
1×node limit
Counts
2 → 84
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(+.f64 1 (/.f64 1 (+.f64 2 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 2 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) (cbrt.f64 (pow.f64 (+.f64 2 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 2 b)) -1) (pow.f64 (sqrt.f64 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 b 3))) (+.f64 4 (*.f64 b (-.f64 b 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (*.f64 b b))) (-.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 2 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 (neg.f64 b) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 2 b) -1/2) (sqrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 (neg.f64 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) (+.f64 (/.f64 1 (+.f64 2 b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) (+.f64 (/.f64 1 (+.f64 2 b)) -1)) (+.f64 (/.f64 1 (+.f64 2 b)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (+.f64 2 b)) -1) (+.f64 (/.f64 1 (+.f64 2 b)) -1))) (-.f64 1 (+.f64 (/.f64 1 (+.f64 2 b)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 2 b)) 2)) (cbrt.f64 (+.f64 2 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 b) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 b) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 b) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 2 b))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 2 b)))) (/.f64 (pow.f64 (+.f64 2 b) -2) (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))) (+.f64 1 (pow.f64 (+.f64 2 b) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 2 b))) (-.f64 1 (pow.f64 (+.f64 2 b) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) (+.f64 (pow.f64 (+.f64 2 b) -2) (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) (-.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 2 b) -2) 1) (+.f64 (/.f64 1 (+.f64 2 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 2 b) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 2 b) -2) (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 2 b) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 2 b) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 2 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 2 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 2 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 2 b) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 2 b) -1/2) (pow.f64 (+.f64 2 b) -1/2) 1)))))

simplify67.0ms (1.1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
042324
1115320
2287312
3767300
42173300
57215300
Stop Event
1×node limit
Counts
108 → 111
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 1/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
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 b (*.f64 b 1/8) (fma.f64 -1/4 b 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 b (*.f64 b 1/8) (fma.f64 -1/4 b 1/2)))
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 1/2))
(/.f64 1 b)
(-.f64 (/.f64 1 b) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b)))
(-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b))
(+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b))
(+.f64 (/.f64 1 b) (/.f64 -2 (*.f64 b b)))
(-.f64 (/.f64 -2 (*.f64 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 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 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 -2 (*.f64 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 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b)))
(-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 b 3))) (/.f64 1 b)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 b 2))) (*.f64 8 (/.f64 1 (pow.f64 b 4)))))
(-.f64 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3))) (+.f64 (/.f64 2 (*.f64 b b)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (-.f64 (/.f64 4 (pow.f64 b 3)) (+.f64 (/.f64 (/.f64 2 b) b) (/.f64 8 (pow.f64 b 4)))))
(+.f64 (+.f64 (/.f64 1 b) (/.f64 (/.f64 -2 b) b)) (-.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 8 (pow.f64 b 4))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -2 (*.f64 b b)) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -8 (pow.f64 b 4)))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (-.f64 (/.f64 -8 (pow.f64 b 4)) (/.f64 (/.f64 2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 (/.f64 -8 (pow.f64 b 4)) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))
3/2
(+.f64 3/2 (*.f64 -1/4 b))
(+.f64 (*.f64 -1/4 b) 3/2)
(fma.f64 -1/4 b 3/2)
(+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b)))
(+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2)
(+.f64 (*.f64 b (*.f64 b 1/8)) (fma.f64 -1/4 b 3/2))
(fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2))
(fma.f64 b (fma.f64 b 1/8 -1/4) 3/2)
(+.f64 (*.f64 -1/16 (pow.f64 b 3)) (+.f64 3/2 (+.f64 (*.f64 1/8 (pow.f64 b 2)) (*.f64 -1/4 b))))
(fma.f64 -1/16 (pow.f64 b 3) (+.f64 (fma.f64 1/8 (*.f64 b b) (*.f64 -1/4 b)) 3/2))
(+.f64 (fma.f64 -1/4 b (*.f64 b (*.f64 b 1/8))) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
(fma.f64 -1/16 (pow.f64 b 3) (fma.f64 -1/4 b (fma.f64 b (*.f64 b 1/8) 3/2)))
(fma.f64 b (fma.f64 b 1/8 -1/4) (fma.f64 -1/16 (pow.f64 b 3) 3/2))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b)))
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))
1
(+.f64 1 (/.f64 1 b))
(-.f64 (+.f64 1 (/.f64 1 b)) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 2 (*.f64 b b))))
(+.f64 1 (-.f64 (/.f64 1 b) (/.f64 (/.f64 2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 (/.f64 -2 b) b)))
(+.f64 (/.f64 1 b) (+.f64 1 (/.f64 -2 (*.f64 b b))))
(+.f64 (/.f64 1 b) (-.f64 1 (/.f64 (/.f64 2 b) b)))
(+.f64 1 (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -1 b)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (*.f64 4 (/.f64 1 (pow.f64 b 3))))) (*.f64 2 (/.f64 1 (pow.f64 b 2))))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 b) (/.f64 4 (pow.f64 b 3)))) (/.f64 2 (*.f64 b b)))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (+.f64 (/.f64 1 b) (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 (/.f64 -2 b) b))))
(+.f64 (/.f64 1 b) (+.f64 1 (+.f64 (/.f64 4 (pow.f64 b 3)) (/.f64 -2 (*.f64 b b)))))
(+.f64 1 (-.f64 (/.f64 1 b) (-.f64 (/.f64 (/.f64 2 b) b) (/.f64 4 (pow.f64 b 3)))))
(+.f64 1 (+.f64 (/.f64 1 b) (-.f64 (/.f64 -2 (*.f64 b b)) (/.f64 -4 (pow.f64 b 3)))))

localize11.0ms (0.2%)

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)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite88.0ms (1.4%)

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
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simplify71.0ms (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))

eval357.0ms (5.7%)

Compiler

Compiled 10510 to 8392 computations (20.2% saved)

prune94.0ms (1.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New6485653
Fresh202
Picked101
Done5510
Total65610666
Error
0.2b
Counts
666 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓41.6b
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
33.2b
(-.f64 1 1)
40.9b
(-.f64 (cbrt.f64 27/8) 1)
✓40.6b
(+.f64 1/2 (*.f64 1/4 a))
✓41.6b
(+.f64 1/2 (*.f64 -1/4 b))
61.3b
(*.f64 -1/4 b)
✓12.5b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓12.5b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
40.4b
1/2
30.0b
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) 1)
Compiler

Compiled 91 to 82 computations (9.9% saved)

regimes110.0ms (1.7%)

Counts
24 → 2
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (cbrt.f64 27/8) 1)
(/.f64 (exp.f64 a) b)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 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) (+.f64 (exp.f64 a) (exp.f64 b)))) 1)
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 3)) 1)
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) 1)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
Calls

6 calls:

39.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms
a
24.0ms
b
5.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.5b2a
0.5b2b
0.2b2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.2b2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.5b2(exp.f64 a)
0.5b2(exp.f64 b)
Compiler

Compiled 219 to 153 computations (30.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.5002353803450063
0.6423882322008142
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes69.0ms (1.1%)

Counts
19 → 3
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (cbrt.f64 27/8) 1)
(/.f64 (exp.f64 a) b)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 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 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

5 calls:

27.0ms
b
18.0ms
a
7.0ms
(exp.f64 b)
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.7b2a
0.4b3b
0.7b2(exp.f64 a)
0.4b3(exp.f64 b)
0.4b3(exp.f64 b)
Compiler

Compiled 126 to 94 computations (25.4% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000085552567
1.0000028974960582
0.0ms
0.5566910317986561
0.7177108125508249
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes99.0ms (1.6%)

Counts
17 → 3
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (cbrt.f64 27/8) 1)
(/.f64 (exp.f64 a) b)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

40.0ms
(exp.f64 b)
28.0ms
b
22.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.7b2a
0.6b3b
0.7b2(exp.f64 a)
0.6b3(exp.f64 b)
Compiler

Compiled 105 to 81 computations (22.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000003573
1.0000000085552567
0.0ms
0.5566910317986561
0.7177108125508249
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes39.0ms (0.6%)

Counts
16 → 2
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (cbrt.f64 27/8) 1)
(/.f64 (exp.f64 a) b)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1)
(pow.f64 (pow.f64 (+.f64 2 b) -1/2) 2)
Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

17.0ms
a
10.0ms
b
5.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.7b2a
12.5b1b
0.7b2(exp.f64 a)
12.5b1(exp.f64 b)
Compiler

Compiled 98 to 78 computations (20.4% saved)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-13111326.671473132
-8099881.81042144
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes42.0ms (0.7%)

Counts
13 → 2
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (cbrt.f64 27/8) 1)
(/.f64 (exp.f64 a) b)
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Calls

3 calls:

20.0ms
b
15.0ms
a
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
13.7b2a
23.1b2b
13.7b2(exp.f64 a)
Compiler

Compiled 71 to 56 computations (21.1% saved)

bsearch20.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
-1.1127435327369119e-5
-2.4405162644338292e-8
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes67.0ms (1.1%)

Counts
9 → 9
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 3/2 (*.f64 -1/4 b)) 1)
Outputs
(-.f64 1 1)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
(+.f64 1/2 (*.f64 -1/4 b))
(-.f64 1 1)
Calls

2 calls:

52.0ms
a
12.0ms
b
Results
ErrorSegmentsBranch
19.0b9a
23.1b2b
Compiler

Compiled 41 to 33 computations (19.5% saved)

bsearch169.0ms (2.7%)

Algorithm
8×binary-search
Steps
TimeLeftRight
45.0ms
5.142742043405975e-51
2.1509475591544344e-49
17.0ms
7.780091078854733e-99
3.456737652638393e-87
17.0ms
1.788982764330052e-154
8.492940208323026e-150
17.0ms
7.933027014547591e-215
2.0941820366565644e-214
17.0ms
2.082802020257218e-263
7.7380128598800615e-261
19.0ms
-1.2204010151244642e-257
-3.1758050096609e-258
17.0ms
-9.676835304439497e-222
-3.792663182725482e-223
19.0ms
-29.865202000468962
-0.00042298283768442386
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (0.8%)

Counts
6 → 9
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
Outputs
(-.f64 1 1)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
Calls

2 calls:

40.0ms
a
9.0ms
b
Results
ErrorSegmentsBranch
19.1b9a
23.1b2b
Compiler

Compiled 24 to 19 computations (20.8% saved)

bsearch193.0ms (3.1%)

Algorithm
8×binary-search
Steps
TimeLeftRight
21.0ms
5.142742043405975e-51
2.1509475591544344e-49
18.0ms
1.4994810814086305e-109
1.4910189802017922e-108
41.0ms
1.788982764330052e-154
8.492940208323026e-150
19.0ms
7.933027014547591e-215
2.0941820366565644e-214
18.0ms
2.082802020257218e-263
7.7380128598800615e-261
18.0ms
-1.2204010151244642e-257
-3.1758050096609e-258
36.0ms
-9.676835304439497e-222
-3.792663182725482e-223
21.0ms
-29.865202000468962
-0.00042298283768442386
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes54.0ms (0.9%)

Counts
5 → 9
Calls
Call 1
Inputs
1/2
1/2
(-.f64 1 1)
(*.f64 -1/4 b)
(/.f64 1 b)
Outputs
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
1/2
(-.f64 1 1)
Calls

2 calls:

43.0ms
a
10.0ms
b
Results
ErrorSegmentsBranch
19.2b9a
23.1b2b
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch154.0ms (2.4%)

Algorithm
8×binary-search
Steps
TimeLeftRight
20.0ms
5.142742043405975e-51
2.1509475591544344e-49
19.0ms
1.4994810814086305e-109
1.4910189802017922e-108
18.0ms
1.788982764330052e-154
8.492940208323026e-150
18.0ms
7.933027014547591e-215
2.0941820366565644e-214
19.0ms
2.082802020257218e-263
7.7380128598800615e-261
21.0ms
-1.2204010151244642e-257
-3.1758050096609e-258
18.0ms
-9.676835304439497e-222
-3.792663182725482e-223
21.0ms
-1134.2530607568654
-41.30217603802453
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

5.0ms
b
4.0ms
a
Results
ErrorSegmentsBranch
40.4b1a
40.4b1b
Compiler

Compiled 10 to 8 computations (20% saved)

simplify21.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
12×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088377
1105377
2107377
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 11068046444225730560/18446744073709551616) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1))
(if (<=.f64 (exp.f64 b) 11068046444225730560/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) (if (<=.f64 (exp.f64 b) 4503608634569751/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 11068046444225730560/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) (if (<=.f64 (exp.f64 b) 2251799824944247/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 a -56312719261149640/4294967296) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -6568478453783443/590295810358705651712) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -4203153518770519/140737488355328) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 306551196897547584/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1)))))))))
(if (<=.f64 a -4203153518770519/140737488355328) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 25375767525202736/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) 1/2 (-.f64 1 1)))))))))
(if (<=.f64 a -4988497716570765/4398046511104) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) 1/2 (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 25375767525202736/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) 1/2 (-.f64 1 1)))))))))
1/2
Outputs
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 11068046444225730560/18446744073709551616) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1))
(if (<=.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 5404319552844595/9007199254740992) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (+.f64 1 (/.f64 1 (+.f64 (exp.f64 b) 1))) -1))
(if (<=.f64 (exp.f64 b) 11068046444225730560/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) (if (<=.f64 (exp.f64 b) 4503608634569751/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 1 b))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5404319552844595/9007199254740992) (+.f64 (+.f64 1 (/.f64 1 (+.f64 (exp.f64 b) 1))) -1) (if (<=.f64 (exp.f64 b) 4503608634569751/4503599627370496) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (+.f64 b 1))) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 b) 11068046444225730560/18446744073709551616) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) 1) (if (<=.f64 (exp.f64 b) 2251799824944247/2251799813685248) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 5404319552844595/9007199254740992) (+.f64 (+.f64 1 (/.f64 1 (+.f64 (exp.f64 b) 1))) -1) (if (<=.f64 (exp.f64 b) 2251799824944247/2251799813685248) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 a -56312719261149640/4294967296) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 a -7039089907643705/536870912) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 a -6568478453783443/590295810358705651712) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -6568478453783443/590295810358705651712) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -4203153518770519/140737488355328) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 306551196897547584/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) (+.f64 1/2 (*.f64 -1/4 b)) (-.f64 1 1)))))))))
(if (<=.f64 a -4203153518770519/140737488355328) 0 (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 a 1/4)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) 0 (if (<=.f64 a 2953683682569665/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) 1/2 (if (<=.f64 a 3848802489623567/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) 0 (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 4789862451524181/615656346818663737691860001564743965704370926101022604186692084441339402679643915803347910232576806887603562348544) 0 (if (<=.f64 a 8665503200821149/1684996666696914987166688442938726917102321526408785780068975640576) (+.f64 1/2 (*.f64 b -1/4)) 0))))))))
(if (<=.f64 a -4203153518770519/140737488355328) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 1/4 a)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 25375767525202736/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) 1/2 (-.f64 1 1)))))))))
(if (<=.f64 a -4203153518770519/140737488355328) 0 (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) (+.f64 1/2 (*.f64 a 1/4)) (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) 0 (if (<=.f64 a 2953683682569665/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) 1/2 (if (<=.f64 a 3848802489623567/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) 0 (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 1585985470325171/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) 0 (if (<=.f64 a 8665503200821149/1684996666696914987166688442938726917102321526408785780068975640576) 1/2 0))))))))
(if (<=.f64 a -4988497716570765/4398046511104) (-.f64 1 1) (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) 1/2 (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (-.f64 1 1) (if (<=.f64 a 47258938921114640/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456) 1/2 (if (<=.f64 a 123161679667954144/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (-.f64 1 1) (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 25375767525202736/169230328010303641331690318856389386196071598838855992136870091590247882556495704531248437872567112920983350278405979725889536) (-.f64 1 1) (if (<=.f64 a 138648051213138384/26959946667150639794667015087019630673637144422540572481103610249216) 1/2 (-.f64 1 1)))))))))
(if (<=.f64 a -4988497716570765/4398046511104) 0 (if (<=.f64 a -7876620785474107/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206528) 1/2 (if (<=.f64 a -103156989133227/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) 0 (if (<=.f64 a 2953683682569665/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) 1/2 (if (<=.f64 a 3848802489623567/48516190384397154223405609014453204851777688034896769098095376188314092271449277697839950275895202435952741584285346037692861876378587949732633977345036910600139218000651559548445790175987451400789468724803639648465401464181751808) 0 (if (<=.f64 a 2700621492493995/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) 1/2 (if (<=.f64 a 1585985470325171/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) 0 (if (<=.f64 a 8665503200821149/1684996666696914987166688442938726917102321526408785780068975640576) 1/2 0))))))))
1/2
Compiler

Compiled 276 to 210 computations (23.9% saved)

soundness0.0ms (0%)

end119.0ms (1.9%)

Compiler

Compiled 260 to 189 computations (27.3% saved)

Profiling

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