Details

Time bar (total: 3.7s)

analyze15.0ms (0.4%)

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

Compiled 13 to 11 computations (15.4% saved)

sample1.8s (49.6%)

Results
1.8s8256×body256valid
1.0ms9×body256invalid

preprocess57.0ms (1.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611917
719117
835717
958417
1079617
11115717
12154817
13195817
14219917
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 1 x) (-.f64 x -1)))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify49.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611917
719117
835717
958417
1079617
11115717
12154817
13195817
14219917
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 1 x) (-.f64 x -1)))))

eval1.0ms (0%)

Compiler

Compiled 23 to 19 computations (17.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
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 x -1)))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize19.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 35 computations (23.9% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite91.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
434×log-prod_binary64
332×exp-prod_binary64
331×prod-diff_binary64
259×pow-prod-down_binary64
241×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0936
119636
2264436
Stop Event
1×node limit
Counts
3 → 204
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1))))
(/.f64 (-.f64 1 x) (-.f64 x -1))
(sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))
Outputs
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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 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.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) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2) 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))))))

simplify47.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
563×associate-/l/_binary64
530×associate-*l/_binary64
395×associate-*r/_binary64
271×fma-def_binary64
265×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
087626
1244602
2760510
33214489
Stop Event
1×node limit
Counts
240 → 235
Calls
Call 1
Inputs
(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)))))
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 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))))
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 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 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 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 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 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 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 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 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 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
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 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.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 x (*.f64 x 1/2)) x)))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 x (*.f64 (*.f64 x -1/2) (+.f64 x -1)) (-.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 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 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 (sqrt.f64 -1) (+.f64 (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 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (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 (/.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 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 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 (sqrt.f64 -1) (+.f64 (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 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))

eval125.0ms (3.4%)

Compiler

Compiled 6373 to 4844 computations (24% saved)

prune27.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2323235
Fresh000
Picked011
Done000
Total2324236
Error
0b
Counts
236 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
▶0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
▶0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
Compiler

Compiled 47 to 40 computations (14.9% saved)

localize27.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 58 to 46 computations (20.7% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite67.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
987×pow1_binary64
918×log1p-expm1-u_binary64
918×expm1-log1p-u_binary64
917×add-log-exp_binary64
96×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0943
119443
2255343
Stop Event
1×node limit
Counts
4 → 104
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))
(sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (neg.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 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 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 (sqrt.f64 (-.f64 1 x)) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 1 x) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 -1 (neg.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) 1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) 1) (pow.f64 (+.f64 1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) -1) (*.f64 (+.f64 1 (fma.f64 x x x)) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) -1) (*.f64 (+.f64 1 x) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 x)) (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 1 x))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 x) -1) (+.f64 -1 (neg.f64 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 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 cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 1 (+.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 -.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 (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 (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 (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 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) (#(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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))

simplify52.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
576×associate-/l/_binary64
534×associate-*l/_binary64
444×fma-neg_binary64
357×cancel-sign-sub-inv_binary64
344×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
098798
1278773
2876677
33654655
Stop Event
1×node limit
Counts
152 → 146
Calls
Call 1
Inputs
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 -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 (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)))))
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
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))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(-.f64 1 (fma.f64 x (-.f64 1 x) (pow.f64 x 3)))
(/.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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 (pow.f64 x 4))) (/.f64 -1 (*.f64 x 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 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 (pow.f64 x 4))) (/.f64 -1 (*.f64 x 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 x (*.f64 x 2) 1))
(fma.f64 x (*.f64 x 2) (fma.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 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(+.f64 1 (*.f64 (*.f64 x -2) (-.f64 (fma.f64 x x 1) 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 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 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 (/.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 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 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 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 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 (/.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 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (*.f64 x x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.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))))
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 (-.f64 (*.f64 (*.f64 x x) 1/2) x))
(-.f64 (fma.f64 (*.f64 x x) 1/2 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 (-.f64 (*.f64 (*.f64 x x) 1/2) x)))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 (*.f64 x x) 1/2 1) x))
(fma.f64 x (*.f64 (*.f64 x -1/2) (+.f64 -1 x)) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (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 (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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 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 (/.f64 1 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 (sqrt.f64 -1) (+.f64 (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 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 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 (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 (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 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 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 (/.f64 1 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 (sqrt.f64 -1) (+.f64 (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 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

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))

rewrite40.0ms (1.1%)

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
212386
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 expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(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))))))))

simplify9.0ms (0.2%)

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))

localize25.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 59 to 46 computations (22% saved)

series5.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite115.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
460×log-prod_binary64
351×exp-prod_binary64
279×pow-prod-down_binary64
246×pow2_binary64
186×prod-diff_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0954
119948
2271448
Stop Event
1×node limit
Counts
4 → 191
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 (+.f64 1 x) (-.f64 1 x))
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 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 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 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 (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 x) (log1p.f64 (neg.f64 x)))))))) (#(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 (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)) 3) -1/6)))) (#(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 (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 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) -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 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 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.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)) -3/2)) 1/3))))) (#(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 (neg.f64 (*.f64 1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/4))))) (#(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 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.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)) 1/4))))) (#(struct:change #<rule 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(#(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 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 5/6) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6))))) (#(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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(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 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x)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 2))))) (#(struct:change #<rule egg-rr> 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1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 -1 x -1)) (sqrt.f64 (neg.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 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 (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 x) (log1p.f64 (neg.f64 x)))))))) (#(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 (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)) 3) 1/6)))) (#(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 (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 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/6) 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 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 x) (+.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(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 (*.f64 1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))))

simplify80.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
479×fma-def_binary64
462×fma-neg_binary64
447×cancel-sign-sub-inv_binary64
302×associate-/r*_binary64
259×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0104941
1315859
21040706
34387668
Stop Event
1×node limit
Counts
239 → 235
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 2 x) 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.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 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.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 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (+.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 1 (*.f64 (sqrt.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 1 (-.f64 (*.f64 x (*.f64 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 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 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 (/.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 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/2 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 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.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 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 (/.f64 -1/2 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 (sqrt.f64 -1) (+.f64 (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (+.f64 1 (*.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1) 1/2)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 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 (/.f64 1 (*.f64 x (sqrt.f64 -1))) x) (+.f64 -1/2 (/.f64 1/2 x)))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (-.f64 -1 (/.f64 2 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(-.f64 -1 (/.f64 2 x))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 -1 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 3)))))
(-.f64 (/.f64 -2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 (/.f64 2 x) x))))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -2 (*.f64 x x))) (-.f64 -1 (/.f64 2 (pow.f64 x 3))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.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))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 x (*.f64 x 1/2) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x (fma.f64 x x x)) x))
(*.f64 (+.f64 1 x) (fma.f64 x (*.f64 x 1/2) 1))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (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)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 x) x) (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.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 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (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)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 x) x) (sqrt.f64 -1)) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))
(-.f64 (+.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 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))) (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (pow.f64 x 3)) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1))))

eval215.0ms (5.8%)

Compiler

Compiled 6815 to 5624 computations (17.5% saved)

prune133.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3963399
Fresh000
Picked101
Done033
Total3976403
Error
0b
Counts
403 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.6b
(*.f64 2 (atan.f64 1))
▶0.3b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.3b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 58 to 51 computations (12.1% saved)

localize12.0ms (0.3%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize22.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 21 computations (19.2% saved)

series2.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite58.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
616×pow1_binary64
572×add-log-exp_binary64
572×log1p-expm1-u_binary64
572×expm1-log1p-u_binary64
560×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11279
216049
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (/.f64 1 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))))

simplify10.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
13×fma-def_binary64
11×fma-neg_binary64
8×cancel-sign-sub-inv_binary64
7×associate-/r*_binary64
6×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0844
11736
22536
34836
46836
59936
611636
712636
812836
Stop Event
1×saturated
Counts
20 → 18
Calls
Call 1
Inputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
Outputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓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)
Compiler

Compiled 35 to 29 computations (17.1% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite55.0ms (1.5%)

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
2236415
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 atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(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 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 -.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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 (+.f64 1 (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 expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(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)))))

simplify12.0ms (0.3%)

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)))

eval54.0ms (1.5%)

Compiler

Compiled 2159 to 1917 computations (11.2% saved)

prune19.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1471148
Fresh000
Picked011
Done055
Total1477154
Error
0b
Counts
154 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.6b
(*.f64 2 (atan.f64 1))
✓0.3b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.3b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
▶0.3b
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 68 to 58 computations (14.7% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 30 to 18 computations (40% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite40.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
652×pow1_binary64
605×add-log-exp_binary64
605×log1p-expm1-u_binary64
605×expm1-log1p-u_binary64
592×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
112310
2159810
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 (fma.f64 x x 1) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))))

simplify19.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
140×fma-neg_binary64
131×fma-def_binary64
49×cancel-sign-sub-inv_binary64
25×sub-neg_binary64
24×associate--r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0844
11640
22440
34640
47940
513840
626940
746440
862740
965940
1066040
Stop Event
1×saturated
Counts
20 → 18
Calls
Call 1
Inputs
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
Outputs
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))

eval5.0ms (0.1%)

Compiler

Compiled 233 to 171 computations (26.6% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New18018
Fresh000
Picked011
Done066
Total18725
Error
0b
Counts
25 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.6b
(*.f64 2 (atan.f64 1))
✓0.3b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.3b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
✓0.3b
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓0.3b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 68 to 58 computations (14.7% saved)

regimes62.0ms (1.7%)

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

9 calls:

9.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(*.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))
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 166 to 135 computations (18.7% saved)

regimes25.0ms (0.7%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
Calls

9 calls:

5.0ms
x
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(/.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 153 to 124 computations (19% saved)

regimes34.0ms (0.9%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 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 x -1)))))
Calls

9 calls:

15.0ms
x
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
2.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
2.0ms
(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 140 to 113 computations (19.3% saved)

regimes6.0ms (0.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 40 to 33 computations (17.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.3b remaining (-88.3%)

Threshold costs -0.3b (-88.3%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.3b1x
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify6.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02884
14284
24584
34784
44884
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x)))))
(*.f64 2 (atan.f64 (sqrt.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 61 to 53 computations (13.1% saved)

soundness113.0ms (3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33517
45817
58217
611917
719117
835717
958417
1079617
11115717
12154817
13195817
14219917
Stop Event
1×saturated
Compiler

Compiled 49 to 41 computations (16.3% saved)

end60.0ms (1.6%)

Compiler

Compiled 56 to 48 computations (14.3% saved)

Profiling

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