Details

Time bar (total: 2.3s)

analyze11.0ms (0.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (48.3%)

Results
1.1s8256×body128valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess37.0ms (1.6%)

Algorithm
2×egg-herbie
Rules
396×fma-neg_binary64
375×fma-def_binary64
260×div-sub_binary64
121×times-frac_binary64
111×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611717
718917
835617
957717
1078917
11113417
12152417
13194017
14218117
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify26.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
396×fma-neg_binary64
375×fma-def_binary64
260×div-sub_binary64
121×times-frac_binary64
111×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611717
718917
835617
957717
1078917
11113417
12152417
13194017
14218117
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 -1 x)))))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 47 to 39 computations (17% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
✓0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))

series5.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
1.0ms
x
@0
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms
x
@inf
(/.f64 (-.f64 1 x) (+.f64 1 x))
1.0ms
x
@-inf
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
x
@-inf
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite56.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
913×log1p-expm1-u_binary64
913×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
85×*-un-lft-identity_binary64
85×pow1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
117536
2242236
Stop Event
1×node limit
Counts
3 → 91
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (/.f64 (-.f64 1 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (hypot.f64 1 (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))

simplify31.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
692×fma-def_binary64
444×cancel-sign-sub-inv_binary64
314×fma-neg_binary64
262×associate-/l/_binary64
194×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061494
1189468
2609456
32374394
Stop Event
1×node limit
Counts
115 → 117
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 3))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
Outputs
1
(-.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(+.f64 1 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 x)))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) x)))
(fma.f64 2 (-.f64 (*.f64 x x) x) 1)
(fma.f64 x (fma.f64 2 x -2) 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x (-.f64 x (fma.f64 x x 1))) 1)
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x)))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -2 x) x) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
1
(-.f64 1 x)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) x)
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/2) x))
(-.f64 (fma.f64 (*.f64 x x) 1/2 1) x)
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/2) (+.f64 x (*.f64 (pow.f64 x 3) 1/2))))
(-.f64 (fma.f64 (*.f64 x x) 1/2 1) (fma.f64 (pow.f64 x 3) 1/2 x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 (pow.f64 x 3) 1/2 x))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (fma.f64 x 1/2 -1) 1))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (+.f64 (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (-.f64 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))))

prune98.0ms (4.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1152117
Fresh000
Picked101
Done000
Total1162118
Error
0b
Counts
118 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)))))
Compiler

Compiled 2019 to 1687 computations (16.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))
✓0.0b
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
✓0.0b
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)

series4.0ms (0.2%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
1.0ms
x
@-inf
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
1.0ms
x
@0
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
0.0ms
x
@inf
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0ms
x
@-inf
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

rewrite79.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
650×prod-diff_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
145×egg-rr
113×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
124137
2313637
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (+.f64 1 x)) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 (/.f64 x (+.f64 1 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (+.f64 1 x))) (sqrt.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 (*.f64 (/.f64 x (+.f64 1 x)) 1))) (fma.f64 (neg.f64 (/.f64 x (+.f64 1 x))) 1 (*.f64 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simplify29.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
651×fma-def_binary64
593×cancel-sign-sub-inv_binary64
437×fma-neg_binary64
272×times-frac_binary64
248×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059734
1180516
2548404
32123337
Stop Event
1×node limit
Counts
214 → 228
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))))
2
(-.f64 2 (*.f64 2 x))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
Outputs
1
(-.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(+.f64 1 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 x)))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) x)))
(fma.f64 2 (-.f64 (*.f64 x x) x) 1)
(fma.f64 x (fma.f64 2 x -2) 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 2 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x (-.f64 x (fma.f64 x x 1))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) 1)
(expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(fma.f64 (/.f64 1 x) 2 -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(-.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x))
(-.f64 (fma.f64 (/.f64 1 x) 2 -1) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x)))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x)) (-.f64 (fma.f64 (/.f64 1 x) 2 -1) (/.f64 (/.f64 1 x) (/.f64 x 2))))
(+.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 2 x)) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x)) (-.f64 (fma.f64 (/.f64 1 x) 2 -1) (+.f64 (/.f64 (/.f64 1 x) (/.f64 x 2)) (/.f64 (/.f64 1 x) (/.f64 (pow.f64 x 3) 2)))))
(+.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 (/.f64 2 x) (pow.f64 x 3))))))
(+.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) 1)
(expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(fma.f64 (/.f64 1 x) 2 -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
(-.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x))
(-.f64 (fma.f64 (/.f64 1 x) 2 -1) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 1 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (expm1.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x)))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x)) (-.f64 (fma.f64 (/.f64 1 x) 2 -1) (/.f64 (/.f64 1 x) (/.f64 x 2))))
(+.f64 (+.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 2 x)) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (+.f64 1 (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (pow.f64 x 3))))))
(+.f64 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x)) (-.f64 (fma.f64 (/.f64 1 x) 2 -1) (+.f64 (/.f64 (/.f64 1 x) (/.f64 x 2)) (/.f64 (/.f64 1 x) (/.f64 (pow.f64 x 3) 2)))))
(+.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (-.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 (/.f64 2 x) (pow.f64 x 3))))))
(+.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))))
2
(-.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 x)))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 x x) x)))
(*.f64 2 (-.f64 (fma.f64 x x 1) x))
(fma.f64 x (fma.f64 2 x -2) 2)
(-.f64 (+.f64 2 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 2 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(+.f64 2 (*.f64 2 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x (-.f64 x (fma.f64 x x 1))) 2)
(*.f64 (fma.f64 x x 1) (fma.f64 x -2 2))
(exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(*.f64 2 (/.f64 1 x))
(/.f64 2 x)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))
(-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x))
(-.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x)))
(-.f64 (fma.f64 (/.f64 1 x) 2 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x))) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(+.f64 (/.f64 2 x) (-.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 2)) (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (pow.f64 x 3)))))
(-.f64 (fma.f64 (/.f64 1 x) 2 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x))) (+.f64 (/.f64 (/.f64 1 x) (/.f64 x 2)) (/.f64 (/.f64 1 x) (/.f64 (pow.f64 x 3) 2))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (-.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 (/.f64 2 x) (pow.f64 x 3))))
(*.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(*.f64 2 (/.f64 1 x))
(/.f64 2 x)
(-.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))
(-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x))
(-.f64 (*.f64 2 (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x)))
(-.f64 (fma.f64 (/.f64 1 x) 2 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x))) (/.f64 (/.f64 1 x) (/.f64 x 2)))
(+.f64 (/.f64 2 x) (-.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 2))) (+.f64 (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) (pow.f64 x 3)) (/.f64 (exp.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))) x)))
(+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (*.f64 x x)) (-.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (+.f64 (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) x) (/.f64 (exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 2))) (pow.f64 x 3)))))
(-.f64 (fma.f64 (/.f64 1 x) 2 (*.f64 (/.f64 (/.f64 1 x) x) (/.f64 2 x))) (+.f64 (/.f64 (/.f64 1 x) (/.f64 x 2)) (/.f64 (/.f64 1 x) (/.f64 (pow.f64 x 3) 2))))
(+.f64 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (-.f64 (*.f64 (/.f64 -1 (pow.f64 x 3)) -2) (/.f64 (/.f64 2 x) (pow.f64 x 3))))
(*.f64 (+.f64 (/.f64 1 (*.f64 x x)) 1) (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))

prune241.0ms (10.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2840284
Fresh011
Picked011
Done000
Total2842286
Error
0b
Counts
286 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)))))
Compiler

Compiled 8632 to 6714 computations (22.2% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
✓0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite71.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
311×prod-diff_binary64
188×fma-def_binary64
178×expm1-udef_binary64
177×log1p-udef_binary64
152×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
124537
2297837
Stop Event
1×node limit
Counts
3 → 183
Calls
Call 1
Inputs
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
Outputs
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simplify38.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
544×fma-def_binary64
384×cancel-sign-sub-inv_binary64
357×sub-neg_binary64
316×fma-neg_binary64
301×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051457
1161447
2431435
31279425
44409425
Stop Event
1×node limit
Counts
219 → 210
Calls
Call 1
Inputs
1
(-.f64 1 (*.f64 6 x))
(-.f64 (+.f64 1 (*.f64 18 (pow.f64 x 2))) (*.f64 6 x))
(-.f64 (+.f64 1 (*.f64 18 (pow.f64 x 2))) (+.f64 (*.f64 6 x) (*.f64 38 (pow.f64 x 3))))
-1
(-.f64 (*.f64 6 (/.f64 1 x)) 1)
(-.f64 (*.f64 6 (/.f64 1 x)) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 38 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 6 (/.f64 1 x)) 1)
(-.f64 (*.f64 6 (/.f64 1 x)) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 38 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
1
(-.f64 1 (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Outputs
1
(-.f64 1 (*.f64 6 x))
(+.f64 1 (*.f64 -6 x))
(+.f64 1 (*.f64 x -6))
(fma.f64 x -6 1)
(-.f64 (+.f64 1 (*.f64 18 (pow.f64 x 2))) (*.f64 6 x))
(+.f64 1 (-.f64 (*.f64 18 (*.f64 x x)) (*.f64 6 x)))
(+.f64 1 (fma.f64 18 (*.f64 x x) (*.f64 x -6)))
(fma.f64 x (*.f64 x 18) (fma.f64 x -6 1))
(fma.f64 x (fma.f64 x 18 -6) 1)
(-.f64 (+.f64 1 (*.f64 18 (pow.f64 x 2))) (+.f64 (*.f64 6 x) (*.f64 38 (pow.f64 x 3))))
(+.f64 1 (-.f64 (*.f64 18 (*.f64 x x)) (fma.f64 6 x (*.f64 38 (pow.f64 x 3)))))
(-.f64 (fma.f64 18 (*.f64 x x) 1) (fma.f64 6 x (*.f64 38 (pow.f64 x 3))))
(+.f64 (fma.f64 x (*.f64 x 18) 1) (fma.f64 x -6 (*.f64 (pow.f64 x 3) -38)))
(fma.f64 (pow.f64 x 3) -38 (fma.f64 x (fma.f64 x 18 -6) 1))
-1
(-.f64 (*.f64 6 (/.f64 1 x)) 1)
(+.f64 (/.f64 6 x) -1)
(-.f64 (*.f64 6 (/.f64 1 x)) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 6 x) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 (/.f64 6 x) (-.f64 -1 (/.f64 (/.f64 18 x) x)))
(+.f64 (/.f64 6 x) (+.f64 -1 (/.f64 -18 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 38 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 6 x) (-.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 1 (/.f64 18 (*.f64 x x)))))
(+.f64 (/.f64 6 x) (-.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 18 x) x))))
(+.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (+.f64 -1 (/.f64 -18 (*.f64 x x)))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 38 (pow.f64 x 3)) (-.f64 -1 (/.f64 (/.f64 18 x) x))))
-1
(-.f64 (*.f64 6 (/.f64 1 x)) 1)
(+.f64 (/.f64 6 x) -1)
(-.f64 (*.f64 6 (/.f64 1 x)) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 6 x) (+.f64 1 (/.f64 18 (*.f64 x x))))
(+.f64 (/.f64 6 x) (-.f64 -1 (/.f64 (/.f64 18 x) x)))
(+.f64 (/.f64 6 x) (+.f64 -1 (/.f64 -18 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 6 (/.f64 1 x)) (*.f64 38 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 18 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 6 x) (-.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 1 (/.f64 18 (*.f64 x x)))))
(+.f64 (/.f64 6 x) (-.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 18 x) x))))
(+.f64 (/.f64 38 (pow.f64 x 3)) (+.f64 (/.f64 6 x) (+.f64 -1 (/.f64 -18 (*.f64 x x)))))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 38 (pow.f64 x 3)) (-.f64 -1 (/.f64 (/.f64 18 x) x))))
1
(-.f64 1 (*.f64 2 x))
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (*.f64 2 x))
(+.f64 1 (-.f64 (*.f64 2 (*.f64 x x)) (*.f64 x 2)))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) x)))
(fma.f64 2 (-.f64 (*.f64 x x) x) 1)
(fma.f64 x (fma.f64 x 2 -2) 1)
(-.f64 (+.f64 1 (*.f64 2 (pow.f64 x 2))) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.f64 2 (*.f64 x x))) (*.f64 2 (+.f64 x (pow.f64 x 3))))
(+.f64 1 (*.f64 2 (-.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x (-.f64 x (fma.f64 x x 1))) 1)
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 2 x) -1) (/.f64 -2 (*.f64 x x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

prune279.0ms (12%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2660266
Fresh000
Picked011
Done011
Total2662268
Error
0b
Counts
268 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)))))
Compiler

Compiled 7580 to 5979 computations (21.1% saved)

regimes100.0ms (4.3%)

Accuracy

Total 0.0b remaining (34.8%)

Threshold costs 0.0b (34.8%)

Counts
72 → 1
Compiler

Compiled 952 to 793 computations (16.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
12224
22624
32824
42924
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1))))
(*.f64 2 (atan.f64 (sqrt.f64 (+.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) -1))))

end56.0ms (2.4%)

Stop Event
1×done
Compiler

Compiled 63 to 55 computations (12.7% saved)

Profiling

Loading profile data...