Details

Time bar (total: 1.6s)

analyze7.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%75%25%3
25%37.5%37.5%4
37.5%18.7%43.8%5
43.7%9.4%46.9%6
46.9%4.7%48.5%7
48.4%2.3%49.2%8
49.2%1.2%49.6%9
49.6%0.6%49.8%10
49.8%0.3%49.9%11
49.9%0.1%50%12
49.9%0.1%50%13
49.9%0%50%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (66.4%)

Results
1.1s8256×body128valid
0.0ms1×body128invalid
Compiler

Compiled 26 to 22 computations (15.4% saved)

preprocess34.0ms (2.1%)

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 (1.6%)

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 (0.4%)

Local error

Found 3 expressions with local error:

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

series4.0ms (0.3%)

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

rewrite53.0ms (3.2%)

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))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(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 log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(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 -.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 log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(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 -.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 log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(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))))))

simplify29.0ms (1.8%)

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))))))))

prune77.0ms (4.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh000
Picked011
Done000
Total1162118
Error
0b
Counts
118 → 2
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 1997 to 1667 computations (16.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

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

rewrite53.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
186×prod-diff_binary64
174×fma-def_binary64
168×expm1-udef_binary64
167×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0954
119948
2270748
Stop Event
1×node limit
Counts
4 → 130
Calls
Call 1
Inputs
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 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 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simplify38.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
472×cancel-sign-sub-inv_binary64
328×sub-neg_binary64
310×associate-+l+_binary64
298×fma-neg_binary64
287×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0831015
1259958
2870947
33560946
Stop Event
1×node limit
Counts
178 → 168
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.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)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/2 (pow.f64 x 3)))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))))
(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 2 x))
(fma.f64 2 x 1)
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 2 x)))
(+.f64 1 (*.f64 2 (+.f64 (*.f64 x x) x)))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) (*.f64 2 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 2 (*.f64 x x) (*.f64 2 (+.f64 x (pow.f64 x 3)))))
(+.f64 1 (*.f64 2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) 1)
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3))) (/.f64 (/.f64 -2 x) x))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 (/.f64 -2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 -2 x) (+.f64 -1 (/.f64 (/.f64 -2 x) x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3))) (/.f64 2 (*.f64 x x)))
(+.f64 (-.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 2 (pow.f64 x 3))) (/.f64 (/.f64 -2 x) x))
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)
(-.f64 (+.f64 1 (*.f64 1/2 (pow.f64 x 2))) (+.f64 x (*.f64 1/2 (pow.f64 x 3))))
(-.f64 (+.f64 1 (*.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 (*.f64 x x) (+.f64 1/2 (*.f64 -1/2 x)) (-.f64 1 x))
(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 (+.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 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (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 (sqrt.f64 -1) (/.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 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 -1 (*.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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.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 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))))) (+.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 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))))) (-.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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (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 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 x (*.f64 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 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 -1 (*.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 (+.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 1 (*.f64 x (sqrt.f64 -1))) (-.f64 (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 (sqrt.f64 -1) (/.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 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 -1 (*.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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.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 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))))) (+.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 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3)) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))))) (-.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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (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 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1/2 (*.f64 x (*.f64 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 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 -1 (*.f64 x (*.f64 x (sqrt.f64 -1)))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 x (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 x (*.f64 x 1/2) (+.f64 1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 x (*.f64 1/2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (fma.f64 1/2 (*.f64 x x) x) (*.f64 (pow.f64 x 3) 1/2)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 (pow.f64 x 3) 1/2 x)))
(+.f64 1 (+.f64 x (*.f64 (*.f64 x 1/2) (fma.f64 x x x))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (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 (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 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))))
(-.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (+.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3))))))
(+.f64 (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 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (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 (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 -1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))))
(-.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2))) (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))))
(-.f64 (sqrt.f64 -1) (+.f64 (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 -1 (*.f64 x (sqrt.f64 -1))) (+.f64 (fma.f64 1/2 (/.f64 (/.f64 -1 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1/2 (*.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (+.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 (/.f64 -1 (sqrt.f64 -1)) (pow.f64 x 3))))))
(+.f64 (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 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))) (+.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))))
(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))))

prune118.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh000
Picked011
Done011
Total1682170
Error
0b
Counts
170 → 2
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 3232 to 2738 computations (15.3% saved)

regimes34.0ms (2.1%)

Accuracy

Total 0.0b remaining (18%)

Threshold costs 0.0b (18%)

Counts
14 → 1
Compiler

Compiled 222 to 187 computations (15.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11720
22120
32320
42420
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))

end49.0ms (3%)

Stop Event
1×done
Compiler

Compiled 54 to 46 computations (14.8% saved)

Profiling

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