Details

Time bar (total: 2.8s)

analyze6.0ms (0.2%)

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
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.2s (43.3%)

Results
1.2s8256×body256valid
1.0ms8×body256invalid

preprocess35.0ms (1.3%)

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 13 to 11 computations (15.4% saved)

simplify25.0ms (0.9%)

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)))))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 12 to 10 computations (16.7% saved)

localize8.0ms (0.3%)

Local error

Found 6 expressions with local error:

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

series4.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

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

rewrite58.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
978×pow1_binary64
913×log1p-expm1-u_binary64
913×expm1-log1p-u_binary64
912×add-log-exp_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
117536
2242236
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.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 (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 exp.f64 (log.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 +.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 exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 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 -.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 exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))

simplify31.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
544×associate-/l/_binary64
512×associate-*l/_binary64
364×associate-*r/_binary64
271×fma-def_binary64
265×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
082532
1233490
2730398
33073377
Stop Event
1×node limit
Counts
115 → 118
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.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 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
Outputs
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 2 (*.f64 x x) 1))
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 2 (*.f64 x x) 1))
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 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 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.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 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 2 x) 2)) (+.f64 1 (/.f64 -2 x)))
-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 2 x) (+.f64 -1 (/.f64 -2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.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 (pow.f64 x 3)) (-.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (/.f64 -2 (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 2 x) 2)) (+.f64 1 (/.f64 -2 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 x x) 1/2) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 (*.f64 x x) 1/2) x)))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)) (-.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 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.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 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 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 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.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 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))

eval45.0ms (1.6%)

Compiler

Compiled 1993 to 1679 computations (15.8% saved)

prune14.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1153118
Fresh000
Picked011
Done000
Total1154119
Error
0.0b
Counts
119 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
▶0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
▶1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 51 to 42 computations (17.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(atan.f64 (-.f64 1 x))
0.0ms
x
@inf
(atan.f64 (-.f64 1 x))
0.0ms
x
@-inf
(atan.f64 (-.f64 1 x))

rewrite33.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
508×pow1_binary64
494×add-sqr-sqrt_binary64
472×add-log-exp_binary64
472×log1p-expm1-u_binary64
472×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11026
212376
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))))

simplify9.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
7×sub-neg_binary64
6×fma-def_binary64
4×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0732
11224
21624
32024
42724
53724
64824
76024
86324
Stop Event
1×saturated
Counts
20 → 18
Calls
Call 1
Inputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
Outputs
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (neg.f64 x)))
(atan.f64 (-.f64 1 x))

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0b
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
✓0.0b
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
✓0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
✓0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
0.0ms
x
@0
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
0.0ms
x
@0
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
0.0ms
x
@-inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)

rewrite60.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
473×log-prod_binary64
366×exp-prod_binary64
311×prod-diff_binary64
265×pow2_binary64
259×pow-prod-down_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
121939
2287739
Stop Event
1×node limit
Counts
3 → 107
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (cbrt.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 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(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 (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 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.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 (fma.f64 -1 x -1)))))) (#(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 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(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 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 3/4)))) (#(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 pow.f64 (/.f64 (+.f64 1 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(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 log1p.f64 (expm1.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 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(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 exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2))))) (#(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 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))))) (#(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 +.f64 0 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 3/2) (pow.f64 (+.f64 1 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 5/2) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.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 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(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 pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))

simplify35.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
592×associate-*l/_binary64
507×associate-/l/_binary64
374×associate-*r/_binary64
291×associate-/r*_binary64
288×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090685
1247657
2752547
33238520
Stop Event
1×node limit
Counts
143 → 137
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.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 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 1/2 (*.f64 x x) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (-.f64 1 x)))
(fma.f64 x (*.f64 x (-.f64 1/2 (*.f64 x 1/2))) (-.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 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.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 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.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 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.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 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 (*.f64 x x) 9/2))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x (*.f64 x 9/2) (fma.f64 x -3 1))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 9/2)))
(+.f64 (fma.f64 (*.f64 x x) 9/2 (*.f64 (pow.f64 x 3) -11/2)) (fma.f64 x -3 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -11/2 1)))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(*.f64 (+.f64 (/.f64 -3 x) 1) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 9/2 x) -3)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (+.f64 (/.f64 9/2 x) -3) (/.f64 -11/2 (*.f64 x x)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(*.f64 (+.f64 (/.f64 -3 x) 1) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 9/2 x) -3)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (+.f64 (/.f64 9/2 x) -3) (/.f64 -11/2 (*.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 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))

localize9.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

series5.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
546×log-prod_binary64
427×prod-diff_binary64
369×pow-prod-down_binary64
280×pow2_binary64
233×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01076
122243
2312743
Stop Event
1×node limit
Counts
4 → 246
Calls
Call 1
Inputs
(*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))
(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
(sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))
Outputs
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simplify54.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
468×sub-neg_binary64
443×distribute-neg-frac_binary64
352×distribute-rgt-neg-in_binary64
322×associate-/r*_binary64
318×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077760
1227741
2630733
31986722
45739722
Stop Event
1×node limit
Counts
294 → 295
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.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 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(*.f64 -1 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.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 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (*.f64 x 2) (fma.f64 -2 x 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) 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 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -2 x) x) (+.f64 1 (/.f64 -2 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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))))
-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 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 -2 x) x) (+.f64 1 (/.f64 -2 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 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3))) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (/.f64 (/.f64 -2 x) x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (pow.f64 x 2)))) (+.f64 1 (*.f64 -1 x))))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (fma.f64 x (neg.f64 x) 1))) (-.f64 1 x)))
(atan.f64 (*.f64 (sqrt.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1)))) (-.f64 1 x)))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (-.f64 1 x) (*.f64 x x)))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(fma.f64 x (+.f64 x -1) (-.f64 1 (pow.f64 x 3)))
(-.f64 1 (*.f64 x (-.f64 (fma.f64 x x 1) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x)))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (fma.f64 (*.f64 x x) 1/2 (neg.f64 x))))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(fma.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 -1)) (sqrt.f64 -1)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (*.f64 -1 (sqrt.f64 -1)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)) (/.f64 -1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 -1)))
(+.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 -1)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 -1) (-.f64 (neg.f64 (/.f64 (sqrt.f64 -1) x)) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (-.f64 (/.f64 (/.f64 -1/2 (*.f64 x x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))) (*.f64 1/2 (/.f64 1 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(-.f64 (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (neg.f64 (/.f64 (sqrt.f64 -1) x))) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (-.f64 (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) x)) (-.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (-.f64 (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x)) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(-.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 1 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 1/2 (/.f64 -1/2 x))))

eval244.0ms (8.9%)

Compiler

Compiled 12551 to 9371 computations (25.3% saved)

prune59.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New5023505
Fresh000
Picked011
Done123
Total5036509
Error
0.0b
Counts
509 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.1b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
▶1.7b
(*.f64 2 (atan.f64 1))
▶1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 63 to 54 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

series2.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite53.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
849×pow1_binary64
794×add-log-exp_binary64
794×log1p-expm1-u_binary64
794×expm1-log1p-u_binary64
781×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116315
2227615
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))))

simplify11.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×sub-neg_binary64
6×fma-def_binary64
5×+-commutative_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010108
117108
220108
324108
431108
541108
652108
764108
867108
Stop Event
1×saturated
Counts
88 → 75
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))

localize2.0ms (0.1%)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (+.f64 (*.f64 -3 x) 1))
0.0b
(atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1)))
✓0.0b
(atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1)))
✓0.0b
(cbrt.f64 (+.f64 (*.f64 -3 x) 1))

series3.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite44.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
724×pow1_binary64
675×log1p-expm1-u_binary64
675×expm1-log1p-u_binary64
674×add-log-exp_binary64
660×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
116216
2186716
Stop Event
1×node limit
Counts
2 → 36
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (*.f64 -3 x) 1))
(atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -3 x 1) 1/6) (pow.f64 (fma.f64 -3 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -3 x 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -3 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) -1)) (cbrt.f64 (fma.f64 -3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -3 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -3 x 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2) (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))))

simplify37.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
719×unswap-sqr_binary64
672×fma-def_binary64
664×distribute-rgt-neg-in_binary64
579×associate-*l*_binary64
577×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026172
170138
2152136
3418136
41371136
54858136
Stop Event
1×node limit
Counts
52 → 46
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -5/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (*.f64 -1 (+.f64 (*.f64 x x) x)))
(fma.f64 -1 (fma.f64 x x x) 1)
(-.f64 1 (fma.f64 x x x))
(+.f64 (*.f64 -5/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -5/3 (pow.f64 x 3) (+.f64 1 (*.f64 -1 (+.f64 (*.f64 x x) x))))
(fma.f64 -5/3 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) 1))
(-.f64 (fma.f64 -5/3 (pow.f64 x 3) 1) (fma.f64 x x x))
(fma.f64 -5/3 (pow.f64 x 3) (-.f64 1 (fma.f64 x x x)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (+.f64 1 (*.f64 x -3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))

eval80.0ms (2.9%)

Compiler

Compiled 2051 to 1837 computations (10.4% saved)

prune43.0ms (1.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1381139
Fresh000
Picked011
Done055
Total1387145
Error
0.0b
Counts
145 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
✓1.1b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
✓1.7b
(*.f64 2 (atan.f64 1))
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 76 to 66 computations (13.2% saved)

localize7.0ms (0.3%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.0b
(-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1)
0.0b
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
0.0b
(+.f64 (atan.f64 (-.f64 1 x)) 2)
0.0b
(atan.f64 (-.f64 1 x))
0.0b
(atan.f64 (-.f64 1 x))
✓0.0b
(+.f64 (atan.f64 (-.f64 1 x)) 2)
✓0.0b
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
✓0.0b
(-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1)

series2.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms
x
@-inf
(-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1)
0.0ms
x
@-inf
(+.f64 (atan.f64 (-.f64 1 x)) 2)
0.0ms
x
@inf
(+.f64 (atan.f64 (-.f64 1 x)) 2)
0.0ms
x
@0
(+.f64 (atan.f64 (-.f64 1 x)) 2)

rewrite82.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
589×unpow-prod-down_binary64
444×prod-diff_binary64
380×log-prod_binary64
313×fma-def_binary64
269×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0930
121724
2306524
Stop Event
1×node limit
Counts
3 → 237
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1)
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
(+.f64 (atan.f64 (-.f64 1 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (-.f64 1 x))) 3)) (pow.f64 (/.f64 1 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (-.f64 1 x))))) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (-.f64 1 x))))) (pow.f64 (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (atan.f64 (-.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (atan.f64 (-.f64 1 x)))) 2) 3) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3/2) 1/3) (pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (sqrt.f64 (atan.f64 (-.f64 1 x)))) 1/3) (cbrt.f64 (sqrt.f64 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (-.f64 1 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (expm1.f64 (*.f64 2 (log1p.f64 (atan.f64 (-.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (log1p.f64 (atan.f64 (-.f64 1 x))) 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simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
8×sub-neg_binary64
6×fma-def_binary64
3×associate-+l-_binary64
3×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014288
124288
227288
331288
438288
548288
659288
771288
874288
Stop Event
1×saturated
Counts
273 → 242
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
Outputs
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(atan.f64 (+.f64 1 (*.f64 -1 x)))
(atan.f64 (-.f64 1 x))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 1 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (-.f64 1 x)))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (atan.f64 (-.f64 1 x)) 2)
(+.f64 2 (atan.f64 (+.f64 1 (*.f64 -1 x))))
(+.f64 (atan.f64 (-.f64 1 x)) 2)

eval167.0ms (6.1%)

Compiler

Compiled 5054 to 4596 computations (9.1% saved)

prune42.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2591260
Fresh000
Picked101
Done156
Total2616267
Error
0.0b
Counts
267 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.1b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
✓1.7b
(*.f64 2 (atan.f64 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
1.0b
(*.f64 2 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) -2))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 63 to 54 computations (14.3% saved)

regimes35.0ms (1.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) -2))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
Calls

9 calls:

7.0ms
x
6.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 173 to 143 computations (17.3% saved)

regimes19.0ms (0.7%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) -2))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
(*.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)))))
Calls

5 calls:

6.0ms
x
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 104 to 88 computations (15.4% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.8b remaining (-81.4%)

Threshold costs -0.8b (-81.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (+.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) -2))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (-.f64 (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1) 1))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 54 to 48 computations (11.1% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02158
13558
24358
34758
44958
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))

end39.0ms (1.4%)

Stop Event
1×fuel
Compiler

Compiled 81 to 67 computations (17.3% saved)

Profiling

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