Details

Time bar (total: 4.1s)

analyze26.0ms (0.6%)

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

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (29.1%)

Results
1.2s8256×body256valid
24.0ms196×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)

simplify7.0ms (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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.3b
(/.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))
✓1.2b
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series10.0ms (0.2%)

Counts
2 → 16
Calls

12 calls:

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

rewrite62.0ms (1.5%)

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))))))

simplify53.0ms (1.3%)

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 (0.7%)

Compiler

Compiled 1902 to 915 computations (51.9% saved)

prune13.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New92294
Fresh000
Picked101
Done000
Total93295
Error
0.4b
Counts
95 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶12.3b
(/.f64 1 (+.f64 1 (exp.f64 b)))
Compiler

Compiled 17 to 13 computations (23.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0.1%)

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)))
0.0ms
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))

rewrite55.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify148.0ms (3.6%)

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

Useful iterations: 5 (0.0ms)

IterNodesCost
02781
16975
217671
350667
4122166
5210364
6308964
7338264
8362564
9393464
10428164
11474164
12530864
13601164
14687764
15734964
16779664
Stop Event
1×node limit
Counts
65 → 70
Calls
Call 1
Inputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
Outputs
2
(+.f64 2 b)
(+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2))))
(+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b))))
(+.f64 2 (fma.f64 1/2 (*.f64 b b) b))
(+.f64 2 (fma.f64 b (*.f64 b 1/2) b))
(fma.f64 (fma.f64 b 1/2 1) b 2)
(fma.f64 b (fma.f64 b 1/2 1) 2)
(+.f64 (*.f64 1/6 (pow.f64 b 3)) (+.f64 2 (+.f64 b (*.f64 1/2 (pow.f64 b 2)))))
(fma.f64 1/6 (pow.f64 b 3) (+.f64 2 (+.f64 b (*.f64 1/2 (*.f64 b b)))))
(+.f64 (fma.f64 1/2 (*.f64 b b) b) (fma.f64 1/6 (pow.f64 b 3) 2))
(+.f64 2 (fma.f64 1/6 (pow.f64 b 3) (fma.f64 b (*.f64 b 1/2) b)))
(fma.f64 1/6 (pow.f64 b 3) (fma.f64 (fma.f64 b 1/2 1) b 2))
(+.f64 2 (fma.f64 (*.f64 b b) (fma.f64 b 1/6 1/2) b))
(fma.f64 b (fma.f64 b (fma.f64 b 1/6 1/2) 1) 2)
1/2
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 b -1/4))
(fma.f64 b -1/4 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b)))
(+.f64 1/2 (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4)))
(+.f64 1/2 (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2))
(+.f64 1/2 (+.f64 (*.f64 -1/480 (pow.f64 b 5)) (+.f64 (*.f64 1/48 (pow.f64 b 3)) (*.f64 -1/4 b))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 1/48 (pow.f64 b 3) (*.f64 b -1/4))))
(+.f64 1/2 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (*.f64 (pow.f64 b 3) 1/48))))
(fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 1/2)))
(fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) (fma.f64 b -1/4 1/2)))
(fma.f64 b -1/4 (fma.f64 (pow.f64 b 3) 1/48 (fma.f64 -1/480 (pow.f64 b 5) 1/2)))
(fma.f64 b (fma.f64 b (*.f64 b 1/48) -1/4) (fma.f64 -1/480 (pow.f64 b 5) 1/2))

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 a))
✓0.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series4.0ms (0.1%)

Counts
2 → 8
Calls

6 calls:

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

rewrite62.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify145.0ms (3.5%)

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

Useful iterations: 5 (0.0ms)

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

eval39.0ms (1%)

Compiler

Compiled 1682 to 1034 computations (38.5% saved)

prune28.0ms (0.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1407147
Fresh000
Picked011
Done011
Total1409149
Error
0.4b
Counts
149 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.6b
(+.f64 1/2 (*.f64 -1/4 b))
▶36.2b
(+.f64 1/2 (*.f64 1/4 a))
✓20.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶12.7b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
▶21.3b
(/.f64 (exp.f64 a) 2)
✓12.3b
(/.f64 1 (+.f64 1 (exp.f64 b)))
36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
36.2b
1/2
▶37.6b
(/.f64 1 (+.f64 2 b))
Compiler

Compiled 120 to 102 computations (15% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0b
(+.f64 1 (exp.f64 b))
✓0.6b
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Compiler

Compiled 26 to 18 computations (30.8% saved)

series56.0ms (1.4%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
29.0ms
b
@inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
24.0ms
b
@-inf
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
1.0ms
b
@0
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
0.0ms
b
@0
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)
0.0ms
b
@inf
(pow.f64 (+.f64 1 (exp.f64 b)) -1/2)

rewrite63.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify65.0ms (1.6%)

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

Useful iterations: 4 (0.0ms)

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

localize8.0ms (0.2%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Compiler

Compiled 13 to 10 computations (23.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 13 to 10 computations (23.1% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (1.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (1.3%)

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

Useful iterations: 4 (0.0ms)

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

localize5.0ms (0.1%)

Compiler

Compiled 10 to 6 computations (40% saved)

eval41.0ms (1%)

Compiler

Compiled 1570 to 1237 computations (21.2% saved)

prune24.0ms (0.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New1206126
Fresh112
Picked011
Done156
Total12213135
Error
0.4b
Counts
135 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓20.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
▶61.8b
(/.f64 1 b)
36.5b
(pow.f64 (sqrt.f64 1/2) 2)
✓12.3b
(/.f64 1 (+.f64 1 (exp.f64 b)))
✓37.6b
(+.f64 1/2 (*.f64 -1/4 b))
✓36.2b
(+.f64 1/2 (*.f64 1/4 a))
✓21.3b
(/.f64 (exp.f64 a) 2)
▶36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
▶24.6b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
▶12.9b
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
36.2b
1/2
▶62.6b
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
✓37.6b
(/.f64 1 (+.f64 2 b))
Compiler

Compiled 163 to 139 computations (14.7% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 1 (exp.f64 b))
✓0.6b
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
✓0.6b
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2)))
✓0.6b
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
Compiler

Compiled 43 to 31 computations (27.9% saved)

series79.0ms (1.9%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
39.0ms
b
@-inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
36.0ms
b
@inf
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
2.0ms
b
@0
(log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))
0.0ms
b
@0
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
0.0ms
b
@inf
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)

rewrite64.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify48.0ms (1.2%)

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

Useful iterations: 3 (0.0ms)

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

localize3.0ms (0.1%)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 1 (+.f64 2 b)))
0.0b
(/.f64 1 (+.f64 2 b))
✓4.6b
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Compiler

Compiled 29 to 24 computations (17.2% saved)

series7.0ms (0.2%)

Counts
2 → 24
Calls

6 calls:

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

rewrite67.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

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

simplify64.0ms (1.6%)

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)))))

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)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite107.0ms (2.6%)

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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 b -2)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (pow.f64 b -2)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 -1 (/.f64 -1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 -1 b)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) (fma.f64 1 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 b) (*.f64 -2 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 -2 b) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -2 b) 1) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -2 b) 1) b)) 2))))) (#(struct:change 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(*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 (/.f64 -2 b) (cbrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (*.f64 -2 (pow.f64 b -2))) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -2 b)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 (/.f64 -2 b)) (cbrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 b)) (pow.f64 b -3/2) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 (sqrt.f64 b)) (pow.f64 b -3/2) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 (/.f64 -2 b) (sqrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 -2 b) 2)) (sqrt.f64 b)) (/.f64 (cbrt.f64 (/.f64 -2 b)) (sqrt.f64 b)) (*.f64 (/.f64 1 b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (/.f64 -1 b) -1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (/.f64 1 b) 1 (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 -1 b))) (cbrt.f64 (pow.f64 b -2)) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (-.f64 (/.f64 (sqrt.f64 -2) b) (pow.f64 (neg.f64 b) -1/2)) (+.f64 (/.f64 1 b) (/.f64 -1 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 b -2))) (cbrt.f64 (/.f64 -1 b)) (*.f64 -2 (pow.f64 b -2)))))))

simplify47.0ms (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))

localize14.0ms (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 (1.9%)

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))))))

simplify163.0ms (4%)

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))

eval446.0ms (10.9%)

Compiler

Compiled 9380 to 7557 computations (19.4% saved)

prune115.0ms (2.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New5914595
Fresh112
Picked011
Done5510
Total59711608
Error
0.4b
Counts
608 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
36.2b
1/2
✓20.7b
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
36.5b
(pow.f64 (sqrt.f64 1/2) 2)
✓12.3b
(/.f64 1 (+.f64 1 (exp.f64 b)))
25.2b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3)) 1)
✓36.4b
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
✓37.6b
(+.f64 1/2 (*.f64 -1/4 b))
✓36.2b
(+.f64 1/2 (*.f64 1/4 a))
36.8b
(-.f64 1 1)
✓21.3b
(/.f64 (exp.f64 a) 2)
14.3b
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
Compiler

Compiled 93 to 82 computations (11.8% saved)

regimes38.0ms (0.9%)

Counts
20 → 1
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 2)
(pow.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2))) 3)) 2)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
b
11.0ms
a
4.0ms
(exp.f64 b)
3.0ms
(exp.f64 a)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
ErrorSegmentsBranch
1.3b1a
1.3b1b
1.3b1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.3b1(exp.f64 a)
1.3b1(exp.f64 b)
Compiler

Compiled 151 to 114 computations (24.5% saved)

regimes71.0ms (1.7%)

Counts
17 → 2
Calls
Call 1
Inputs
1/2
1/2
1/2
(-.f64 1 1)
(/.f64 1 b)
(+.f64 1/2 (*.f64 -1/4 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
(/.f64 (exp.f64 a) 2)
(/.f64 1 (+.f64 1 (exp.f64 b)))
(+.f64 (*.f64 -1/48 (pow.f64 a 3)) (+.f64 1/2 (*.f64 1/4 a)))
(pow.f64 (sqrt.f64 1/2) 2)
(/.f64 (exp.f64 a) (+.f64 1 (exp.f64 a)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 3)) 1)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 b)) -1/2) 2)
Outputs
(-.f64 1 1)
(/.f64 1 (+.f64 1 (exp.f64 b)))
Calls

4 calls:

32.0ms
b
22.0ms
a
7.0ms
(exp.f64 b)
4.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
1.0b2a
1.2b3b
1.0b2(exp.f64 a)
1.5b3(exp.f64 b)
Compiler

Compiled 110 to 87 computations (20.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9997675236808697
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (1%)

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

3 calls:

17.0ms
a
15.0ms
b
5.0ms
(exp.f64 a)
Results
ErrorSegmentsBranch
12.8b2a
11.1b2b
12.9b2(exp.f64 a)
Compiler

Compiled 58 to 46 computations (20.7% saved)

bsearch22.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.000256520674644705
0.18327023206112672
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes52.0ms (1.3%)

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 b))
(+.f64 1/2 (*.f64 1/4 a))
(/.f64 1 (+.f64 2 b))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
(-.f64 (/.f64 (/.f64 -2 b) b) (/.f64 -1 b))
Outputs
(-.f64 1 1)
(-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1)
Calls

2 calls:

27.0ms
a
22.0ms
b
Results
ErrorSegmentsBranch
13.0b2a
21.8b2b
Compiler

Compiled 50 to 40 computations (20% saved)

bsearch24.0ms (0.6%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
-7.733899761573655e-10
-2.0829773203233573e-14
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes37.0ms (0.9%)

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

2 calls:

21.0ms
a
13.0ms
b
Results
ErrorSegmentsBranch
21.1b2a
21.8b2b
Compiler

Compiled 32 to 26 computations (18.8% saved)

bsearch22.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
-48232454.7778688
-0.00023250334593859714
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes41.0ms (1%)

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

2 calls:

28.0ms
a
11.0ms
b
Results
ErrorSegmentsBranch
21.1b2a
21.8b2b
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch22.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
-48232454.7778688
-0.00023250334593859714
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

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

2 calls:

5.0ms
a
4.0ms
b
Results
ErrorSegmentsBranch
36.2b1a
36.2b1b
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03587
14587
24687
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 (exp.f64 a) 0) (-.f64 1 1) (/.f64 1 (+.f64 1 (exp.f64 b))))
(if (<=.f64 b 4731971234786188/18446744073709551616) (/.f64 (exp.f64 a) 2) (-.f64 1 1))
(if (<=.f64 a -7479768886462253/9671406556917033397649408) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -207156815876745440/4294967296) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -207156815876745440/4294967296) (-.f64 1 1) 1/2)
1/2
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(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 4731971234786188/18446744073709551616) (/.f64 (exp.f64 a) 2) (-.f64 1 1))
(if (<=.f64 b 1182992808696547/4611686018427387904) (/.f64 (exp.f64 a) 2) 0)
(if (<=.f64 a -7479768886462253/9671406556917033397649408) (-.f64 1 1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 2 b))) 1))
(if (<=.f64 a -7479768886462253/9671406556917033397649408) 0 (+.f64 (+.f64 1 (/.f64 1 (+.f64 b 2))) -1))
(if (<=.f64 a -207156815876745440/4294967296) (-.f64 1 1) (+.f64 1/2 (*.f64 1/4 a)))
(if (<=.f64 a -6473650496148295/134217728) 0 (+.f64 1/2 (*.f64 a 1/4)))
(if (<=.f64 a -207156815876745440/4294967296) (-.f64 1 1) 1/2)
(if (<=.f64 a -6473650496148295/134217728) 0 1/2)
1/2
Compiler

Compiled 74 to 61 computations (17.6% saved)

soundness0.0ms (0%)

end53.0ms (1.3%)

Compiler

Compiled 62 to 46 computations (25.8% saved)

Profiling

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