Details

Time bar (total: 6.3s)

analyze20.0ms (0.3%)

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

Compiled 11 to 7 computations (36.4% saved)

sample947.0ms (14.9%)

Results
919.0ms8255×body64valid
15.0ms180×body64invalid
0.0ms1×body128valid

preprocess17.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 10 to 6 computations (40% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.3b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series10.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

TimeVariablePointExpression
2.0ms
b
@inf
(+.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)))

rewrite59.0ms (0.9%)

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
2211621
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 (exp.f64 (*.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 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(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 -.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 (exp.f64 (*.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 (exp.f64 (*.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 (exp.f64 (*.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 (*.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 (exp.f64 (*.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 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))))) (#(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 log1p.f64 (expm1.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (exp.f64 a) (exp.f64 b))))))))

simplify46.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
090686
1273662
2875638
33982617
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 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (*.f64 1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (+.f64 1 (exp.f64 b)))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (pow.f64 a 3) (fma.f64 a (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (fma.f64 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))) (*.f64 a a) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (-.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (fma.f64 1/2 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (/.f64 2/3 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 a 3) (fma.f64 a (*.f64 a (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1/2 (+.f64 1 (exp.f64 b))) (/.f64 -3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2))))) (fma.f64 a (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 -1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) (/.f64 1 (+.f64 1 (exp.f64 b))))))
(fma.f64 (+.f64 (/.f64 1/6 (+.f64 1 (exp.f64 b))) (+.f64 (/.f64 3/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (-.f64 (/.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 (*.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))))))
(-.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (*.f64 b (neg.f64 b)) (/.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 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (/.f64 -1 (+.f64 1 (exp.f64 a))) 1/2)) (*.f64 b b)))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (pow.f64 b 2))) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 -1 (/.f64 (*.f64 (exp.f64 a) b) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))))
(fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (+.f64 1 (exp.f64 a))) (fma.f64 -1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/6 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2))))) (pow.f64 b 3)) (fma.f64 -1 (*.f64 (fma.f64 -1 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)))) (*.f64 b b)) (+.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (neg.f64 (/.f64 (exp.f64 a) (/.f64 (pow.f64 (+.f64 1 (exp.f64 a)) 2) b))))))
(-.f64 (-.f64 (-.f64 (/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b)) (*.f64 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 1/6 (/.f64 -1/2 (+.f64 1 (exp.f64 a))))) (/.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))) (+.f64 1 (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 1/2 (/.f64 -1 (+.f64 1 (exp.f64 a))))))))
(+.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 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 1 (+.f64 (exp.f64 b) a))
(+.f64 (*.f64 1/2 (pow.f64 a 2)) (+.f64 1 (+.f64 a (exp.f64 b))))
(fma.f64 1/2 (*.f64 a a) (+.f64 1 (+.f64 (exp.f64 b) a)))
(+.f64 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 (fma.f64 1/6 (pow.f64 a 3) (exp.f64 b)) (+.f64 a (fma.f64 a (*.f64 a 1/2) 1)))
(fma.f64 a (*.f64 a 1/2) (+.f64 (exp.f64 b) (+.f64 1 (fma.f64 1/6 (pow.f64 a 3) a))))
(+.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 1 (fma.f64 1/2 (*.f64 b b) b)))
(+.f64 1 (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a))))
(+.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 (exp.f64 a) (fma.f64 1/2 (*.f64 b b) b)) (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)))
(+.f64 1 (fma.f64 1/6 (pow.f64 b 3) (+.f64 b (fma.f64 b (*.f64 b 1/2) (exp.f64 a)))))

prune231.0ms (3.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New92294
Fresh000
Picked101
Done000
Total93295
Error
0b
Counts
95 → 2
Alt Table
StatusErrorProgram
▶0.8b
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
11.7b
(+.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))))
Compiler

Compiled 1984 to 988 computations (50.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (exp.f64 a) (exp.f64 b))
✓0.0b
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
✓0.3b
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
✓0.5b
(/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))

series65.0ms (1%)

Counts
3 → 56
Calls

18 calls:

TimeVariablePointExpression
36.0ms
a
@0
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
5.0ms
a
@0
(/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
3.0ms
b
@inf
(/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
3.0ms
b
@0
(/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
3.0ms
a
@inf
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))

rewrite76.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
575×prod-diff_binary64
573×log-prod_binary64
298×pow2_binary64
231×fma-def_binary64
207×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
125140
2317240
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 a) 3) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) 3) 1)))) (#(struct:change 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(exp.f64 a) 2) (pow.f64 (exp.f64 b) 2))) (-.f64 (exp.f64 a) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (*.f64 (exp.f64 b) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 b) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (*.f64 (exp.f64 a) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (exp.f64 a) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (exp.f64 b) (*.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 2) (exp.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))))))

simplify93.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
754×times-frac_binary64
539×associate-/r*_binary64
373×associate-/l*_binary64
310×associate-*l/_binary64
256×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02273555
18093357
234703023
Stop Event
1×node limit
Counts
177 → 169
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 a (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))) (pow.f64 a 2)) (*.f64 a (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))) (pow.f64 a 2)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (*.f64 2 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))) (+.f64 2 (+.f64 (*.f64 2 (exp.f64 b)) (+.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))))) (pow.f64 a 3)) (*.f64 a (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))))))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (exp.f64 (*.f64 3 a)) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 6))))
(+.f64 (/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (exp.f64 (*.f64 3 a)) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 6))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a))))) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 6)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 2) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 9)))) (pow.f64 b 2)))))
(+.f64 (/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (exp.f64 (*.f64 3 a)) b)) (pow.f64 (+.f64 1 (exp.f64 a)) 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 b 3) (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 2) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 9))) (/.f64 (*.f64 (exp.f64 (*.f64 3 a)) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 2 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a)))))) (pow.f64 (+.f64 1 (exp.f64 a)) 6)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))) (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (+.f64 2 (*.f64 2 (exp.f64 a)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (exp.f64 a) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (*.f64 1/3 (+.f64 1 (exp.f64 a))))))))) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 6)) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a))))) (exp.f64 (*.f64 3 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 9))))))) (*.f64 -1 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a))))) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 6)) (*.f64 -1 (/.f64 (*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) 2) (exp.f64 (*.f64 3 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 9)))) (pow.f64 b 2))))))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.f64 (exp.f64 (*.f64 3 a)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3))
(/.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 (pow.f64 a 3) (-.f64 (+.f64 (*.f64 1/6 (/.f64 1 (+.f64 1 (exp.f64 b)))) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 7/6 (/.f64 1 (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))))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(+.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3)) (*.f64 -1 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))))
(+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3 a)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3)) (*.f64 -1 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3)))))
(+.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 3 a)) 1/3) (*.f64 (pow.f64 b 2) (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2)))))) (+.f64 (*.f64 (/.f64 1 (+.f64 1 (exp.f64 a))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3)) (+.f64 (*.f64 -1 (*.f64 (/.f64 b (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))) (*.f64 (*.f64 (-.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 3)) (+.f64 (*.f64 1/6 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 2))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 a)) 4)))) (pow.f64 b 3)) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3)))))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(*.f64 (/.f64 1 (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (exp.f64 (*.f64 3 a)) 1/3))
(pow.f64 (+.f64 1 (exp.f64 b)) 3)
(+.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 2 (+.f64 (*.f64 2 (exp.f64 b)) (+.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(+.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (+.f64 (*.f64 (pow.f64 a 3) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 b)) 2)) (+.f64 2 (+.f64 (*.f64 1/2 (+.f64 2 (*.f64 2 (exp.f64 b)))) (+.f64 (exp.f64 b) (*.f64 (+.f64 1 (*.f64 1/3 (+.f64 1 (exp.f64 b)))) (+.f64 1 (exp.f64 b)))))))) (+.f64 (*.f64 (pow.f64 a 2) (+.f64 2 (+.f64 (*.f64 2 (exp.f64 b)) (+.f64 (*.f64 (+.f64 2 (exp.f64 b)) (+.f64 1 (exp.f64 b))) (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))
(pow.f64 (+.f64 1 (exp.f64 a)) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 2 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a)))))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(+.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (+.f64 2 (*.f64 2 (exp.f64 a)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (exp.f64 a) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (*.f64 1/3 (+.f64 1 (exp.f64 a))))))))) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 2 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a)))))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
Outputs
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 a (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 a (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))))
(fma.f64 a (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(fma.f64 a (+.f64 (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))) (/.f64 -2 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 6))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 2 (exp.f64 b)))))) (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (*.f64 1/2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))))))) (pow.f64 a 2)) (*.f64 a (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3))) (+.f64 (*.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (*.f64 2 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 5)))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 (-.f64 (/.f64 9/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 6)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (/.f64 (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (*.f64 (exp.f64 b) 2)))))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 4)))))))) (*.f64 a a) (*.f64 a (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4)) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5))))))))
(+.f64 (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (fma.f64 a (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (*.f64 (*.f64 a a) (-.f64 (/.f64 9/2 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 6)) (+.f64 (+.f64 (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 6)) (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5))) (/.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 b)) 4))) (/.f64 (-.f64 (/.f64 3 (pow.f64 (+.f64 1 (exp.f64 b)) 3)) (+.f64 (/.f64 2 (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (fma.f64 2 (/.f64 (exp.f64 b) (pow.f64 (+.f64 1 (exp.f64 b)) 5)) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 4))))) (/.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 (+.f64 1 (exp.f64 b)) (fma.f64 (exp.f64 b) 2 2))))))))))))
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(fma.f64 a (*.f64 (+.f64 1 (exp.f64 b)) (*.f64 3 (+.f64 1 (exp.f64 b)))) (fma.f64 (pow.f64 a 3) (fma.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1/6 (+.f64 (fma.f64 (+.f64 1 (exp.f64 b)) (+.f64 4/3 (*.f64 (exp.f64 b) 1/3)) (exp.f64 b)) (+.f64 3 (exp.f64 b)))) (fma.f64 (*.f64 a a) (+.f64 (*.f64 (+.f64 1 (exp.f64 b)) (+.f64 2 (+.f64 (exp.f64 b) 2))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2) 1/2)) (pow.f64 (+.f64 1 (exp.f64 b)) 3))))
(pow.f64 (+.f64 1 (exp.f64 a)) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(fma.f64 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (fma.f64 2 (exp.f64 a) 2) (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 3 (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))
(+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 2 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a)))))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 2 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (*.f64 2 (exp.f64 a))))) (fma.f64 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (fma.f64 2 (exp.f64 a) 2) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))))) (fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (fma.f64 2 (exp.f64 a) 2) (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (+.f64 2 (exp.f64 a))))) (fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 3 (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3)))
(+.f64 (*.f64 (+.f64 2 (+.f64 (*.f64 1/2 (+.f64 2 (*.f64 2 (exp.f64 a)))) (+.f64 (*.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 (exp.f64 a) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (*.f64 1/3 (+.f64 1 (exp.f64 a))))))))) (pow.f64 b 3)) (+.f64 (*.f64 (pow.f64 b 2) (+.f64 (*.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2)) (+.f64 2 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))) (*.f64 2 (exp.f64 a)))))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 (+.f64 2 (fma.f64 1/2 (+.f64 2 (*.f64 2 (exp.f64 a))) (fma.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (exp.f64 a) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 1 (+.f64 1/3 (*.f64 (exp.f64 a) 1/3)))))))) (pow.f64 b 3) (fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 2 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a)) (*.f64 2 (exp.f64 a))))) (fma.f64 (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (*.f64 2 (exp.f64 a))) (pow.f64 (+.f64 1 (exp.f64 a)) 2)) b (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 (pow.f64 b 3) (+.f64 2 (+.f64 (+.f64 1 (exp.f64 a)) (fma.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 4/3 (*.f64 1/3 (exp.f64 a))) (exp.f64 a))))) (fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (+.f64 (fma.f64 2 (exp.f64 a) 2) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (exp.f64 a))))) (fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 (fma.f64 2 (exp.f64 a) 2) (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))
(fma.f64 (pow.f64 b 3) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (fma.f64 (+.f64 1 (exp.f64 a)) (+.f64 4/3 (*.f64 1/3 (exp.f64 a))) (exp.f64 a))) (+.f64 3 (exp.f64 a))) (fma.f64 (*.f64 b b) (fma.f64 1/2 (pow.f64 (+.f64 1 (exp.f64 a)) 2) (*.f64 (+.f64 1 (exp.f64 a)) (+.f64 2 (+.f64 2 (exp.f64 a))))) (fma.f64 b (*.f64 (+.f64 1 (exp.f64 a)) (*.f64 3 (+.f64 1 (exp.f64 a)))) (pow.f64 (+.f64 1 (exp.f64 a)) 3))))

prune1.0s (15.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2151216
Fresh101
Picked011
Done000
Total2162218
Error
0b
Counts
218 → 2
Alt Table
StatusErrorProgram
▶11.7b
(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))))
✓0.8b
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
Compiler

Compiled 6949 to 4210 computations (39.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.2%)

Counts
4 → 16
Calls

12 calls:

TimeVariablePointExpression
6.0ms
b
@inf
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
2.0ms
b
@inf
(/.f64 1 (+.f64 1 (exp.f64 b)))
1.0ms
b
@-inf
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
1.0ms
b
@0
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
0.0ms
b
@0
(pow.f64 (+.f64 1 (exp.f64 b)) 2)

rewrite101.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
462×fma-def_binary64
444×log-prod_binary64
289×pow-prod-down_binary64
260×pow2_binary64
241×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
123047
2318147
Stop Event
1×node limit
Counts
4 → 289
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
(pow.f64 (+.f64 1 (exp.f64 b)) 2)
(/.f64 1 (pow.f64 (+.f64 1 (exp.f64 b)) 2))
(/.f64 1 (+.f64 1 (exp.f64 b)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (*.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) 1 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2)) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (+.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)) (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> 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-2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) b))) (+.f64 1 (exp.f64 b))) (pow.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) b))) (+.f64 1 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) b))) (+.f64 1 (exp.f64 b))) 2) (/.f64 (cbrt.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) b))) (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (log1p.f64 (exp.f64 b)) b)) (pow.f64 (+.f64 1 (exp.f64 b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) (pow.f64 (+.f64 1 (exp.f64 b)) -6)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 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-2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -4) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 5/6) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (exp.f64 b)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 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pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (neg.f64 (exp.f64 b))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (*.f64 -2 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -6 (log1p.f64 (exp.f64 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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)))) (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) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 b) 3))) (fma.f64 (exp.f64 b) (expm1.f64 b) 1))))) (#(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 (exp.f64 b)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 6) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) 2) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 b))) -2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 b))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (exp.f64 b))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (neg.f64 (log1p.f64 (exp.f64 b)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 (exp.f64 b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log1p.f64 (exp.f64 b))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (exp.f64 b)) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log1p.f64 (exp.f64 b))) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -2 (log1p.f64 (exp.f64 b))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 b))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 b)))))))))

simplify106.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
869×fma-def_binary64
662×distribute-lft-out_binary64
578×sqr-pow_binary64
492×unswap-sqr_binary64
466×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
052179
1132167
2343157
31073145
43256145
55017145
65873145
76167145
86451145
96822145
107310145
Stop Event
1×node limit
Counts
305 → 316
Calls
Call 1
Inputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2)))
(+.f64 (*.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2))))
(+.f64 (*.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 -17/11520 (pow.f64 b 6)))))
4
(+.f64 (*.f64 4 b) 4)
(+.f64 (*.f64 4 b) (+.f64 4 (*.f64 3 (pow.f64 b 2))))
(+.f64 (*.f64 4 b) (+.f64 (*.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
Outputs
1/4
(+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2)))
(+.f64 1/4 (*.f64 -1/16 (*.f64 b b)))
(fma.f64 -1/16 (*.f64 b b) 1/4)
(+.f64 (*.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (*.f64 -1/16 (pow.f64 b 2))))
(fma.f64 1/96 (pow.f64 b 4) (+.f64 1/4 (*.f64 -1/16 (*.f64 b b))))
(fma.f64 1/96 (pow.f64 b 4) (fma.f64 -1/16 (*.f64 b b) 1/4))
(fma.f64 -1/16 (*.f64 b b) (fma.f64 1/96 (pow.f64 b 4) 1/4))
(fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) 1/96 -1/16) 1/4)
(+.f64 (*.f64 1/96 (pow.f64 b 4)) (+.f64 1/4 (+.f64 (*.f64 -1/16 (pow.f64 b 2)) (*.f64 -17/11520 (pow.f64 b 6)))))
(fma.f64 1/96 (pow.f64 b 4) (+.f64 1/4 (fma.f64 -1/16 (*.f64 b b) (*.f64 -17/11520 (pow.f64 b 6)))))
(+.f64 (fma.f64 -17/11520 (pow.f64 b 6) (*.f64 -1/16 (*.f64 b b))) (fma.f64 1/96 (pow.f64 b 4) 1/4))
(fma.f64 1/96 (pow.f64 b 4) (fma.f64 -1/16 (*.f64 b b) (fma.f64 -17/11520 (pow.f64 b 6) 1/4)))
(fma.f64 -17/11520 (pow.f64 b 6) (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) 1/96 -1/16) 1/4))
(fma.f64 -17/11520 (pow.f64 b 6) (fma.f64 -1/16 (*.f64 b b) (fma.f64 1/96 (pow.f64 b 4) 1/4)))
(fma.f64 -1/16 (*.f64 b b) (fma.f64 -17/11520 (pow.f64 b 6) (fma.f64 1/96 (pow.f64 b 4) 1/4)))
4
(+.f64 (*.f64 4 b) 4)
(fma.f64 4 b 4)
(fma.f64 b 4 4)
(+.f64 (*.f64 4 b) (+.f64 4 (*.f64 3 (pow.f64 b 2))))
(+.f64 (fma.f64 4 b 4) (*.f64 (*.f64 b b) 3))
(fma.f64 b 4 (fma.f64 (*.f64 b b) 3 4))
(fma.f64 (*.f64 b b) 3 (fma.f64 b 4 4))
(fma.f64 b (fma.f64 b 3 4) 4)
(+.f64 (*.f64 4 b) (+.f64 (*.f64 5/3 (pow.f64 b 3)) (+.f64 4 (*.f64 3 (pow.f64 b 2)))))
(fma.f64 4 b (fma.f64 5/3 (pow.f64 b 3) (+.f64 4 (*.f64 (*.f64 b b) 3))))
(fma.f64 b 4 (fma.f64 5/3 (pow.f64 b 3) (fma.f64 (*.f64 b b) 3 4)))
(fma.f64 b 4 (fma.f64 b (*.f64 b 3) (fma.f64 5/3 (pow.f64 b 3) 4)))
(fma.f64 (*.f64 b b) (fma.f64 b 5/3 3) (fma.f64 b 4 4))
(fma.f64 b (*.f64 b (fma.f64 b 5/3 3)) (fma.f64 b 4 4))
1/4
(+.f64 1/4 (*.f64 -1/4 b))
(+.f64 1/4 (*.f64 b -1/4))
(fma.f64 b -1/4 1/4)
(+.f64 1/4 (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2))))
(+.f64 1/4 (fma.f64 -1/4 b (*.f64 (*.f64 b b) 1/16)))
(+.f64 1/4 (fma.f64 b -1/4 (*.f64 (*.f64 b b) 1/16)))
(fma.f64 b -1/4 (fma.f64 b (*.f64 b 1/16) 1/4))
(fma.f64 b (fma.f64 b 1/16 -1/4) 1/4)
(+.f64 1/4 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (+.f64 (*.f64 -1/4 b) (*.f64 1/16 (pow.f64 b 2)))))
(+.f64 1/4 (fma.f64 1/48 (pow.f64 b 3) (fma.f64 -1/4 b (*.f64 (*.f64 b b) 1/16))))
(+.f64 1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 (*.f64 (*.f64 b b) 1/16))))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 b -1/4 (fma.f64 b (*.f64 b 1/16) 1/4)))
(fma.f64 b (*.f64 b (fma.f64 b 1/48 1/16)) (fma.f64 b -1/4 1/4))
(fma.f64 b -1/4 (fma.f64 b (*.f64 b (fma.f64 b 1/48 1/16)) 1/4))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 (*.f64 b -1/4) 1/2)
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4)))
(+.f64 (*.f64 (pow.f64 b 3) 1/48) (fma.f64 b -1/4 1/2))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 (pow.f64 b 3) 1/48 (*.f64 b -1/4))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 b -1/4 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 b (fma.f64 (*.f64 b b) 1/48 -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 1/2)))

prune3.5s (54.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3750375
Fresh000
Picked011
Done011
Total3752377
Error
0b
Counts
377 → 2
Alt Table
StatusErrorProgram
✓11.7b
(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))))
✓0.8b
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
Compiler

Compiled 10987 to 7452 computations (32.2% saved)

regimes16.0ms (0.3%)

Accuracy

Total -12.3b remaining (-4768.1%)

Threshold costs -12.3b (-4768.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(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))))
(cbrt.f64 (/.f64 (exp.f64 (*.f64 a 3)) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) 3)))
(+.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 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
4.0ms0.3ba
4.0ms0.3bb
2.0ms0.3b(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms0.3b(exp.f64 a)
2.0ms0.3b(exp.f64 b)
Compiler

Compiled 94 to 62 computations (34% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
1813
Stop Event
1×saturated
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)))

end15.0ms (0.2%)

Stop Event
1×done
Compiler

Compiled 20 to 12 computations (40% saved)

Profiling

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