Details

Time bar (total: 4.8s)

analyze21.0ms (0.4%)

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)

sample930.0ms (19.6%)

Results
902.0ms8256×body256valid
16.0ms164×body256invalid

preprocess17.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 12 to 8 computations (33.3% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 21 to 6 computations (71.4% saved)

series12.0ms (0.3%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
4.0ms
a
@0
(+.f64 (exp.f64 a) (exp.f64 b))
2.0ms
b
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
a
@0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@-inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@inf
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite67.0ms (1.4%)

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))))))

simplify59.0ms (1.2%)

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)))

eval30.0ms (0.6%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune14.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New90494
Fresh000
Picked101
Done000
Total91495
Error
0b
Counts
95 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
▶22.6b
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
▶21.0b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶10.4b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 47 to 34 computations (27.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.4b
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
✓2.4b
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 36 to 8 computations (77.8% saved)

series116.0ms (2.4%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
39.0ms
b
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
30.0ms
a
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
25.0ms
a
@-inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
17.0ms
b
@inf
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
a
@0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

rewrite78.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
976×pow1_binary64
905×add-log-exp_binary64
905×log1p-expm1-u_binary64
905×expm1-log1p-u_binary64
92×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
116923
2243023
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (log.f64 (cbrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (sqrt.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (pow.f64 (exp.f64 a) 2) (exp.f64 (+.f64 b b)))) (log.f64 (-.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (exp.f64 b) 3))) (log.f64 (+.f64 (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 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 a (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2) (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (/.f64 1 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (/.f64 1 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (-.f64 (sqrt.f64 a) (sqrt.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3)) (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2)) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 3) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 3))) (neg.f64 (fma.f64 a a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) 2))) (neg.f64 (+.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 3) (pow.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3)) (+.f64 (*.f64 a a) (-.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a a) (*.f64 (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))) (-.f64 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 a (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (sqrt.f64 a) (neg.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))))

simplify72.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
690×associate-*l/_binary64
463×associate-/r*_binary64
452×times-frac_binary64
386×fma-neg_binary64
358×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086781
1259766
2817752
34065731
Stop Event
1×node limit
Counts
80 → 91
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (exp.f64 b)))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(log.f64 (+.f64 1 (exp.f64 a)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
Outputs
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b))))
(+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (log.f64 (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 b)) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a 1/2)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (+.f64 (/.f64 a (+.f64 1 (exp.f64 b))) (+.f64 (log.f64 (+.f64 1 (exp.f64 b))) (*.f64 1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))))
(fma.f64 1/2 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (+.f64 (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 1/6 (pow.f64 a 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 1/2 (*.f64 (*.f64 a a) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(fma.f64 1/2 (*.f64 a (*.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 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 1/6 (pow.f64 a 3)) (+.f64 (log1p.f64 (exp.f64 b)) (/.f64 a (+.f64 1 (exp.f64 b))))))
(+.f64 (fma.f64 1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (log1p.f64 (exp.f64 b))) (fma.f64 (*.f64 a a) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 a (+.f64 1 (exp.f64 b)))))
(log.f64 (+.f64 1 (exp.f64 a)))
(log1p.f64 (exp.f64 a))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (log.f64 (+.f64 1 (exp.f64 a))) (+.f64 (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (fma.f64 (*.f64 1/2 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b) (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (log1p.f64 (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(+.f64 (log1p.f64 (exp.f64 a)) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 1/6 (pow.f64 b 3)) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 b (+.f64 1 (exp.f64 a))))))
(*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))))
(-.f64 (*.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(+.f64 a (-.f64 (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))))
(-.f64 (-.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2)))
(-.f64 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))))) (log1p.f64 (exp.f64 b)))
(fma.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a -1/2)) (+.f64 a (-.f64 (*.f64 a (/.f64 -1 (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))))
(fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 b))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (-.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 1 (exp.f64 b)))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (+.f64 (*.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b))))) (*.f64 -1/2 (*.f64 (pow.f64 a 2) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))))))
(fma.f64 -1 (log1p.f64 (exp.f64 b)) (fma.f64 -1/6 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (-.f64 1 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 (*.f64 (*.f64 a a) (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) -1/2))))
(-.f64 (fma.f64 (*.f64 (pow.f64 a 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) -1/6 (fma.f64 (*.f64 (*.f64 a a) -1/2) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b))))))) (log1p.f64 (exp.f64 b)))
(-.f64 (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 (pow.f64 a 3) -1/6) (fma.f64 a (+.f64 1 (/.f64 -1 (+.f64 1 (exp.f64 b)))) (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 a (*.f64 a -1/2))))) (log1p.f64 (exp.f64 b)))
(fma.f64 (pow.f64 a 3) (+.f64 (/.f64 -1/3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1/6)) (fma.f64 (*.f64 a a) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 b))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (-.f64 (-.f64 a (/.f64 a (+.f64 1 (exp.f64 b)))) (log1p.f64 (exp.f64 b)))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
a
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(+.f64 (*.f64 -1 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) a)
(fma.f64 -1 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))))
(-.f64 a (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 a (log1p.f64 (exp.f64 a)))
(-.f64 (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))) (log.f64 (+.f64 1 (exp.f64 a))))
(+.f64 a (-.f64 (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(-.f64 a (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) a) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 1 (exp.f64 a)))))
(-.f64 (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))
(-.f64 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (pow.f64 b 2))) (+.f64 a (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 b 3) (-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)))) (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (*.f64 -1 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log.f64 (+.f64 1 (exp.f64 a))))
(-.f64 (fma.f64 -1/2 (*.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 b b)) (+.f64 a (fma.f64 -1/6 (*.f64 (pow.f64 b 3) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (-.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (neg.f64 (/.f64 b (+.f64 1 (exp.f64 a))))))) (log1p.f64 (exp.f64 a)))
(+.f64 (fma.f64 (*.f64 b (*.f64 b (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) -1/2 a) (-.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (*.f64 (pow.f64 b 3) -1/6)) (/.f64 b (+.f64 1 (exp.f64 a)))) (log1p.f64 (exp.f64 a))))
(-.f64 (fma.f64 (*.f64 b b) (+.f64 (/.f64 -1/2 (+.f64 1 (exp.f64 a))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (fma.f64 (pow.f64 b 3) (*.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) -1/6) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a)))))) (log1p.f64 (exp.f64 a)))
(-.f64 (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 -1/6 (+.f64 1 (exp.f64 a))) (*.f64 (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (/.f64 -3 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) -1/6)) (-.f64 a (/.f64 b (+.f64 1 (exp.f64 a))))) (fma.f64 (*.f64 b b) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 a))) (/.f64 -1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (log1p.f64 (exp.f64 a))))

localize22.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 53 to 27 computations (49.1% saved)

series8.0ms (0.2%)

Counts
3 → 32
Calls

12 calls:

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

rewrite79.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
934×pow1_binary64
867×add-log-exp_binary64
867×log1p-expm1-u_binary64
867×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0928
119125
2275925
Stop Event
1×node limit
Counts
3 → 104
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(+.f64 1 (exp.f64 a))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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))))) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (cbrt.f64 (exp.f64 (+.f64 a a))) (*.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 1 (cbrt.f64 (pow.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 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 (cbrt.f64 (exp.f64 (+.f64 a a))) 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 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (pow.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)) (cbrt.f64 (pow.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 (cbrt.f64 (exp.f64 (+.f64 a a))) (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 (exp.f64 (*.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 (exp.f64 (+.f64 a a)))) (-.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 log.f64 (+.f64 1 (expm1.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 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 a (log1p.f64 (exp.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 (exp.f64 a) 1)) (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (+.f64 (neg.f64 (exp.f64 a)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) (/.f64 1 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (exp.f64 a) 1)) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 b) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 (sqrt.f64 b) (cbrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))) (/.f64 b (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 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 (cbrt.f64 b) (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (+.f64 (exp.f64 a) 1))) (/.f64 b (sqrt.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (+.f64 1 (exp.f64 (*.f64 a 3)))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (-.f64 1 (exp.f64 (+.f64 a a)))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 b (+.f64 (exp.f64 a) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 a) 1) b) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b (+.f64 (exp.f64 a) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 b 3) (pow.f64 (+.f64 (exp.f64 a) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 b (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 b) (log1p.f64 (exp.f64 a))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (exp.f64 a) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2)) (cbrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) (sqrt.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (/.f64 1 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (/.f64 1 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))) (+.f64 1 (exp.f64 (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (exp.f64 a)) (-.f64 1 (exp.f64 (+.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 a 3))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 (+.f64 a a))) (-.f64 1 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (exp.f64 (*.f64 a 3)))) (neg.f64 (+.f64 1 (*.f64 (exp.f64 a) (expm1.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (exp.f64 (+.f64 a a)))) (neg.f64 (-.f64 1 (exp.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (+.f64 a a)) 1) (expm1.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 a) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 a) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (exp.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (+.f64 a a))) (cbrt.f64 (exp.f64 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 a)) (sqrt.f64 (exp.f64 a)) 1)))))

simplify78.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
614×associate-*l*_binary64
545×associate-*r*_binary64
531×fma-neg_binary64
458×associate-+l+_binary64
383×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059367
1159348
2490331
31872328
45168328
55433328
66725328
Stop Event
1×node limit
Counts
136 → 127
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(*.f64 -1 (/.f64 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))))
2
(+.f64 2 a)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (*.f64 1/4 a)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2))
(fma.f64 1/4 a (fma.f64 -1/48 (pow.f64 a 3) 1/2))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (+.f64 (*.f64 1/480 (pow.f64 a 5)) (*.f64 1/4 a))))
(fma.f64 -1/48 (pow.f64 a 3) (+.f64 1/2 (fma.f64 1/480 (pow.f64 a 5) (*.f64 1/4 a))))
(+.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a 1/2)) (*.f64 1/480 (pow.f64 a 5)))
(fma.f64 -1/48 (pow.f64 a 3) (fma.f64 1/4 a (fma.f64 1/480 (pow.f64 a 5) 1/2)))
(*.f64 -1 (/.f64 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))))
(/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a)))
(*.f64 -1/2 b)
(*.f64 b -1/2)
(+.f64 (*.f64 -1/2 b) (*.f64 1/4 (*.f64 a b)))
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 a b)))
(*.f64 b (+.f64 -1/2 (*.f64 1/4 a)))
(*.f64 b (fma.f64 1/4 a -1/2))
(+.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))))
(fma.f64 -1/2 b (*.f64 1/4 (*.f64 a b)))
(*.f64 b (+.f64 -1/2 (*.f64 1/4 a)))
(*.f64 b (fma.f64 1/4 a -1/2))
(+.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)))))))))
(fma.f64 -1/2 b (fma.f64 (*.f64 b 0) (*.f64 a a) (fma.f64 1/4 (*.f64 a b) (*.f64 (pow.f64 a 3) (fma.f64 1/24 b (fma.f64 -1/16 b (*.f64 -1/2 (*.f64 b 0))))))))
(fma.f64 b -1/2 (fma.f64 (*.f64 a a) 0 (fma.f64 1/4 (*.f64 a b) (*.f64 (pow.f64 a 3) (+.f64 0 (*.f64 b -1/48))))))
(+.f64 (*.f64 b (fma.f64 1/4 a -1/2)) (*.f64 (pow.f64 a 3) (*.f64 -1/48 b)))
(*.f64 b (+.f64 (fma.f64 1/4 a -1/2) (*.f64 -1/48 (pow.f64 a 3))))
(*.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)))
2
(+.f64 2 a)
(+.f64 a 2)
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 a))
(fma.f64 1/2 (*.f64 a a) (+.f64 a 2))
(+.f64 a (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 2 (+.f64 a (*.f64 1/6 (pow.f64 a 3)))))
(fma.f64 1/2 (*.f64 a a) (+.f64 2 (+.f64 a (*.f64 (pow.f64 a 3) 1/6))))
(+.f64 (fma.f64 (pow.f64 a 3) 1/6 a) (fma.f64 1/2 (*.f64 a a) 2))
(+.f64 2 (fma.f64 1/2 (*.f64 a a) (fma.f64 (pow.f64 a 3) 1/6 a)))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite57.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify148.0ms (3.1%)

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

Useful iterations: 5 (0.0ms)

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

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 9 computations (47.1% saved)

eval178.0ms (3.7%)

Compiler

Compiled 8111 to 4421 computations (45.5% saved)

prune94.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4467453
Fresh000
Picked011
Done213
Total4489457
Error
0b
Counts
457 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.7b
(+.f64 1/2 (*.f64 1/4 a))
✓21.0b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶29.5b
(exp.f64 a)
▶39.5b
(+.f64 1/2 (*.f64 -1/4 b))
37.8b
1/2
▶10.3b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
37.9b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
▶39.3b
(/.f64 1 (+.f64 b 2))
✓10.4b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 110 to 92 computations (16.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓0.2b
(log1p.f64 (exp.f64 b))
Compiler

Compiled 17 to 6 computations (64.7% saved)

series35.0ms (0.7%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
18.0ms
b
@-inf
(log1p.f64 (exp.f64 b))
15.0ms
b
@inf
(log1p.f64 (exp.f64 b))
1.0ms
b
@0
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
1.0ms
b
@0
(log1p.f64 (exp.f64 b))
0.0ms
b
@inf
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))

rewrite79.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
418×pow1_binary64
402×add-sqr-sqrt_binary64
396×*-un-lft-identity_binary64
383×add-log-exp_binary64
382×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0614
111311
2133711
Stop Event
1×node limit
Counts
2 → 76
Calls
Call 1
Inputs
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (exp.f64 b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) (*.f64 1/2 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (log1p.f64 (exp.f64 b))) (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (log1p.f64 (exp.f64 b)))) (*.f64 1/3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (exp.f64 (*.f64 3 b))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log1p.f64 (exp.f64 b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -1) (log.f64 (neg.f64 (+.f64 (exp.f64 b) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 b) 2))) (log.f64 (-.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (exp.f64 b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2) (neg.f64 (cbrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 3 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 3)) (+.f64 0 (+.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2) (*.f64 0 (log1p.f64 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (log1p.f64 (exp.f64 b)) 2)) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (exp.f64 b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (exp.f64 b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (exp.f64 b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (exp.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2)) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 b) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (exp.f64 (*.f64 3 b))) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (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 pow.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 b)))) (sqrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log1p.f64 (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 b))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (exp.f64 b) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 b)) (cbrt.f64 (pow.f64 (exp.f64 b) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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)))))

simplify86.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
669×fma-def_binary64
638×associate-/r/_binary64
391×*-commutative_binary64
357×distribute-rgt-neg-in_binary64
346×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046274
1123206
2332194
3823188
42663188
54505188
66519188
77260188
Stop Event
1×node limit
Counts
100 → 95
Calls
Call 1
Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log.f64 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 b) (log.f64 2))
(fma.f64 1/2 b (log.f64 2))
(fma.f64 b 1/2 (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (log.f64 2)))
(fma.f64 1/2 b (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (log.f64 2)))
(fma.f64 b (fma.f64 b 1/8 1/2) (log.f64 2))
(+.f64 (*.f64 1/2 b) (+.f64 (*.f64 1/8 (pow.f64 b 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 b 4)))))
(fma.f64 1/2 b (+.f64 (fma.f64 1/8 (*.f64 b b) (log.f64 2)) (*.f64 -1/192 (pow.f64 b 4))))
(fma.f64 b 1/2 (fma.f64 1/8 (*.f64 b b) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b 1/2 (fma.f64 b (*.f64 b 1/8) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2))))
(fma.f64 b (fma.f64 b 1/8 1/2) (fma.f64 -1/192 (pow.f64 b 4) (log.f64 2)))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 1 (exp.f64 b)))
(log1p.f64 (exp.f64 b))
(exp.f64 (neg.f64 (log.f64 2)))
1/2
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (exp.f64 (neg.f64 (log.f64 2))))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2)))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (exp.f64 (neg.f64 (log.f64 2)))))
(+.f64 1/2 (+.f64 (*.f64 b -1/4) (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2))
(+.f64 (*.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 b 3) (exp.f64 (neg.f64 (log.f64 2))))) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 b 5) (exp.f64 (neg.f64 (log.f64 2))))) (exp.f64 (neg.f64 (log.f64 2))))))
(fma.f64 -1/2 (*.f64 b (exp.f64 (neg.f64 (log.f64 2)))) (fma.f64 1/24 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 3)) (fma.f64 -1/240 (*.f64 (exp.f64 (neg.f64 (log.f64 2))) (pow.f64 b 5)) (exp.f64 (neg.f64 (log.f64 2))))))
(+.f64 (+.f64 (*.f64 b -1/4) (+.f64 1/2 (*.f64 (pow.f64 b 5) -1/480))) (*.f64 (pow.f64 b 3) 1/48))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 (pow.f64 b 5) -1/480 1/2)))
(fma.f64 (pow.f64 b 5) -1/480 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 1/2)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))
(exp.f64 (neg.f64 (log.f64 (+.f64 1 (exp.f64 b)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 1 (+.f64 1 (exp.f64 b)))

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite61.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify55.0ms (1.2%)

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)))))

localize3.0ms (0.1%)

Compiler

Compiled 5 to 3 computations (40% saved)

eval32.0ms (0.7%)

Compiler

Compiled 1287 to 897 computations (30.3% saved)

prune30.0ms (0.6%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1265131
Fresh112
Picked011
Done066
Total12713140
Error
0b
Counts
140 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.5b
(exp.f64 a)
▶61.6b
(/.f64 1 b)
✓37.7b
(+.f64 1/2 (*.f64 1/4 a))
✓21.0b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓10.3b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
37.8b
1/2
▶62.4b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
▶46.6b
(+.f64 (exp.f64 b) 1)
✓39.5b
(+.f64 1/2 (*.f64 -1/4 b))
▶37.9b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
▶23.7b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
✓39.3b
(/.f64 1 (+.f64 b 2))
✓10.4b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 144 to 119 computations (17.4% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 1 (+.f64 b 2)))
0.0b
(/.f64 1 (+.f64 b 2))
✓1.7b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

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

simplify121.0ms (2.6%)

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)))))

localize4.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
✓0.1b
(/.f64 (/.f64 -2 b) b)
Compiler

Compiled 25 to 17 computations (32% saved)

series4.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite83.0ms (1.7%)

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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simplify55.0ms (1.2%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 6 computations (40% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite50.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
460×pow1_binary64
448×add-sqr-sqrt_binary64
440×*-un-lft-identity_binary64
428×add-log-exp_binary64
428×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1996
212236
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(+.f64 (exp.f64 b) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (exp.f64 b) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 b) 2) (expm1.f64 b)) (/.f64 1 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 2) (cbrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) (sqrt.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (/.f64 1 (expm1.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b))) (+.f64 1 (pow.f64 (exp.f64 b) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (expm1.f64 b) (fma.f64 (exp.f64 b) (exp.f64 b) -1)))))) (#(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) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 b) 2) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1) (expm1.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 b) 2) (-.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (exp.f64 b) (exp.f64 b) -1)) (neg.f64 (expm1.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 pow.f64 (+.f64 (exp.f64 b) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (exp.f64 b) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (exp.f64 b) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 b) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (exp.f64 b) 1)))))) (#(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)))))

simplify73.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
828×associate-/r/_binary64
536×unswap-sqr_binary64
461×associate-*l*_binary64
397×fma-def_binary64
395×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01786
14182
29382
326578
466077
5221177
6395177
7437477
8535877
Stop Event
1×node limit
Counts
42 → 37
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)))))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
Outputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (+.f64 2 b) (*.f64 1/2 (*.f64 b b)))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) 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 (+.f64 2 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 1/2 (*.f64 b b) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2))
(fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) (+.f64 2 b))
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))
(+.f64 1 (exp.f64 b))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
✓0.1b
(*.f64 -1/48 (pow.f64 a 3))
Compiler

Compiled 34 to 27 computations (20.6% saved)

series3.0ms (0.1%)

Counts
2 → 6
Calls

6 calls:

TimeVariablePointExpression
1.0ms
a
@0
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@inf
(*.f64 -1/48 (pow.f64 a 3))
1.0ms
a
@-inf
(*.f64 -1/48 (pow.f64 a 3))
0.0ms
a
@inf
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
0.0ms
a
@0
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))

rewrite79.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
492×log-prod_binary64
418×fma-def_binary64
327×pow-prod-down_binary64
295×pow2_binary64
234×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01121
125219
2312119
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/48 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/48 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 6) 1/2304) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 -1/48)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 9) -1/110592) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 6) 1/2304))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/48) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 9) -1/110592))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/48 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (cbrt.f64 -1/48))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 -1/48) (pow.f64 a 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a 9) -1/110592)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 3 (log.f64 a) (log.f64 -1/48)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 a 6) 1/2304) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))) (/.f64 (pow.f64 (fma.f64 a 1/4 1/2) 2) (-.f64 (*.f64 -1/48 (pow.f64 a 3)) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))) 2) (cbrt.f64 (fma.f64 -1/48 (pow.f64 a 3) (fma.f64 a 1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 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a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (sqrt.f64 (fma.f64 -1/48 (pow.f64 a 3) 1/2)) (*.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/4 (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 -1/48 (pow.f64 a 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 a) (*.f64 a a) (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (*.f64 a a)) a (fma.f64 a 1/4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/48 (pow.f64 a 3/2)) (pow.f64 a 3/2) (fma.f64 a 1/4 1/2))))))

simplify167.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
472×fabs-mul_binary64
453×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01144
12442
24642
39242
415742
538342
6125942
7196042
8204642
9217842
10233642
11257642
12289842
13331942
14382142
15442342
16514542
17546642
18574842
19597442
20615242
21623442
22717442
Stop Event
1×node limit
Counts
110 → 110
Calls
Call 1
Inputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
Outputs
1/2
(+.f64 1/2 (*.f64 1/4 a))
(fma.f64 1/4 a 1/2)
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4))
(*.f64 -1/48 (pow.f64 a 3))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (*.f64 1/4 a))
(fma.f64 -1/48 (pow.f64 a 3) (*.f64 1/4 a))
(fma.f64 1/4 a (*.f64 -1/48 (pow.f64 a 3)))
(*.f64 a (fma.f64 a (*.f64 a -1/48) 1/4))

eval255.0ms (5.4%)

Compiler

Compiled 7720 to 6117 computations (20.8% saved)

prune134.0ms (2.8%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New5072509
Fresh101
Picked011
Done4711
Total51210522
Error
0b
Counts
522 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
✓37.7b
(+.f64 1/2 (*.f64 1/4 a))
✓21.0b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
✓29.5b
(exp.f64 a)
37.8b
1/2
✓39.5b
(+.f64 1/2 (*.f64 -1/4 b))
✓10.3b
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
✓37.9b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
35.6b
(-.f64 1 1)
✓10.4b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓46.6b
(+.f64 (exp.f64 b) 1)
Compiler

Compiled 69 to 58 computations (15.9% saved)

regimes42.0ms (0.9%)

Counts
19 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
Calls

7 calls:

10.0ms
b
10.0ms
a
6.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
ErrorSegmentsBranch
0.3b1a
0.3b1b
0.3b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.3b1(exp.f64 a)
0.3b1(exp.f64 a)
0.3b1(exp.f64 b)
Compiler

Compiled 151 to 99 computations (34.4% saved)

regimes69.0ms (1.5%)

Counts
18 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (/.f64 (neg.f64 b) (+.f64 1 (exp.f64 a))) 1) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

38.0ms
(exp.f64 b)
11.0ms
a
10.0ms
b
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.5b1a
0.5b1b
0.5b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
0.5b1(exp.f64 a)
0.5b1(exp.f64 b)
Compiler

Compiled 128 to 87 computations (32% saved)

regimes58.0ms (1.2%)

Counts
16 → 3
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Outputs
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Calls

4 calls:

26.0ms
b
17.0ms
a
6.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.2b2a
0.2b3b
0.2b2(exp.f64 a)
0.2b3(exp.f64 b)
Compiler

Compiled 93 to 69 computations (25.8% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.321156980017122e+55
3.034428364980269e+220
0.0ms
0.0
0.7007918838861392
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes68.0ms (1.4%)

Counts
15 → 3
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Outputs
(+.f64 (exp.f64 b) 1)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

29.0ms
b
22.0ms
a
6.0ms
(exp.f64 b)
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
0.2b2a
0.2b3b
0.2b2(exp.f64 a)
0.2b3(exp.f64 b)
Compiler

Compiled 88 to 66 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.321156980017122e+55
3.034428364980269e+220
0.0ms
0.0
0.7007918838861392
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes52.0ms (1.1%)

Counts
14 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

26.0ms
b
16.0ms
a
4.0ms
(exp.f64 a)
3.0ms
(exp.f64 b)
Results
ErrorSegmentsBranch
0.4b2a
9.3b3b
0.4b2(exp.f64 a)
10.4b1(exp.f64 b)
Compiler

Compiled 81 to 63 computations (22.2% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.8222511294321564
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes124.0ms (2.6%)

Counts
12 → 5
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
(+.f64 (exp.f64 b) 1)
Outputs
(+.f64 (exp.f64 b) 1)
1/2
(exp.f64 a)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
Calls

4 calls:

71.0ms
b
39.0ms
a
6.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
11.2b6a
8.6b5b
13.3b2(exp.f64 a)
9.7b3(exp.f64 b)
Compiler

Compiled 64 to 50 computations (21.9% saved)

bsearch84.0ms (1.8%)

Algorithm
4×binary-search
Steps
TimeLeftRight
22.0ms
1.8736831406953582e-11
5.717532824080558e-9
20.0ms
-1.8250646624268664e-171
-8.838839881747044e-172
21.0ms
-1.7064734515785458e-143
-5.841333533099393e-147
21.0ms
-51447.591066340196
-0.35554432063971897
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes78.0ms (1.6%)

Counts
11 → 5
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
(exp.f64 a)
Outputs
(exp.f64 a)
1/2
(exp.f64 a)
(+.f64 1/2 (*.f64 1/4 a))
(-.f64 1 1)
Calls

3 calls:

39.0ms
a
31.0ms
b
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
11.2b6a
8.6b5b
13.3b2(exp.f64 a)
Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch78.0ms (1.6%)

Algorithm
4×binary-search
Steps
TimeLeftRight
20.0ms
1.8736831406953582e-11
5.717532824080558e-9
20.0ms
-1.8250646624268664e-171
-8.838839881747044e-172
18.0ms
-1.7064734515785458e-143
-5.841333533099393e-147
20.0ms
-0.35554432063971897
-2.8438611200242337e-17
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes27.0ms (0.6%)

Counts
10 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 1/4 a))
(+.f64 1/2 (*.f64 -1/4 b))
(/.f64 1 (+.f64 b 2))
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1)
Calls

2 calls:

13.0ms
a
12.0ms
b
Results
ErrorSegmentsBranch
13.3b2a
20.3b2b
Compiler

Compiled 50 to 40 computations (20% saved)

bsearch7.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
7.0ms
-1.2673482588223046e+20
-125157302.67393376
Compiler

Compiled 33 to 27 computations (18.2% saved)

regimes25.0ms (0.5%)

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

2 calls:

12.0ms
b
12.0ms
a
Results
ErrorSegmentsBranch
20.9b2a
20.3b2b
Compiler

Compiled 41 to 32 computations (22% saved)

bsearch19.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
19.0ms
1.8736831406953582e-11
5.717532824080558e-9
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.4%)

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

2 calls:

9.0ms
a
9.0ms
b
Results
ErrorSegmentsBranch
21.1b2a
20.5b2b
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch20.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
20.0ms
1.8736831406953582e-11
5.717532824080558e-9
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

4.0ms
a
3.0ms
b
Results
ErrorSegmentsBranch
37.8b1a
37.8b1b
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify16.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
059254
174254
280254
383254
484254
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b -7070903074813213/137438953472) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 b -3202458539893469/9007199254740992) (exp.f64 a) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 a -100000000000000000000) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))
(if (<=.f64 b 1449692113000479/77371252455336267181195264) 1/2 (-.f64 1 1))
1/2
Outputs
(exp.f64 (-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (/.f64 1 (+.f64 1 (exp.f64 b)))))
(if (<=.f64 (exp.f64 b) 0) (+.f64 (exp.f64 b) 1) (if (<=.f64 (exp.f64 b) 20000000000000000204701340408171022992608776270649491456) (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) 1)) (/.f64 1 (+.f64 (exp.f64 b) 1))))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 (exp.f64 a) 0) 0 (/.f64 1 (+.f64 (exp.f64 b) 1)))
(if (<=.f64 b -7070903074813213/137438953472) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 b -7070903074813213/137438953472) (+.f64 (exp.f64 b) 1) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 a 1/4)) 0))))
(if (<=.f64 b -3202458539893469/9007199254740992) (exp.f64 a) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1)))))
(if (<=.f64 b -3202458539893469/9007199254740992) (exp.f64 a) (if (<=.f64 b -1874335193195425/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) 1/2 (if (<=.f64 b -7941006799357677/4351082437154956072465106588077822995084026820419845514849846380137705962380101572519219218556758308199541387151331336317719177934050977705242787666055883587123865770683541250307916824576) (exp.f64 a) (if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 a 1/4)) 0))))
(if (<=.f64 a -100000000000000000000) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) 1))
(if (<=.f64 a -100000000000000000000) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 1/4 a)) (-.f64 1 1))
(if (<=.f64 b 1449692113000479/77371252455336267181195264) (+.f64 1/2 (*.f64 a 1/4)) 0)
(if (<=.f64 b 1449692113000479/77371252455336267181195264) 1/2 (-.f64 1 1))
(if (<=.f64 b 1449692113000479/77371252455336267181195264) 1/2 0)
1/2
Compiler

Compiled 191 to 142 computations (25.7% saved)

soundness155.0ms (3.3%)

Algorithm
2×egg-herbie
Rules
690×associate-*l/_binary64
690×associate-*l/_binary64
463×associate-/r*_binary64
463×associate-/r*_binary64
452×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086781
1259766
2817752
34065731
086781
1259766
2817752
34065731
Stop Event
1×node limit
1×node limit
Compiler

Compiled 46 to 40 computations (13% saved)

end93.0ms (2%)

Compiler

Compiled 171 to 110 computations (35.7% saved)

Profiling

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