Details

Time bar (total: 2.8s)

analyze5.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
40%25%37.5%0%0%37.5%0%4
66.7%37.5%18.7%0%0%43.7%0%5
82.4%43.7%9.4%0%0%46.9%0%6
90.9%46.9%4.7%0%0%48.4%0%7
95.4%48.4%2.3%0%0%49.2%0%8
97.7%49.2%1.2%0%0%49.6%0%9
98.8%49.6%0.6%0%0%49.8%0%10
99.4%49.8%0.3%0%0%49.9%0%11
99.7%49.9%0.1%0%0%49.9%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample984.0ms (35%)

Results
971.0ms8256×body256valid
1.0ms17×body256invalid
Bogosity

preprocess89.0ms (3.2%)

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)

simplify41.0ms (1.5%)

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)

localize18.0ms (0.7%)

Local error

Found 2 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))
Compiler

Compiled 46 to 35 computations (23.9% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 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
@inf
(/.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))

rewrite51.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
955×pow1_binary64
893×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
117722
2243122
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(/.f64 (-.f64 1 x) (-.f64 x -1))
(sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (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 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(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 /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (neg.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (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))))))

simplify46.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
401×distribute-rgt-in_binary64
395×distribute-lft-in_binary64
380×associate-/l*_binary64
379×fma-def_binary64
364×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02321506
15711425
219681329
Stop Event
1×node limit
Counts
94 → 135
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
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)))))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 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)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 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))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (neg.f64 x) -1)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
Outputs
1
(+.f64 1 (*.f64 -2 x))
(fma.f64 -2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 x 1))
(fma.f64 -2 x (fma.f64 x (*.f64 x 2) 1))
(+.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 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.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 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 x (*.f64 x 1/2))) x))
(fma.f64 (pow.f64 x 3) -1/2 (fma.f64 x (*.f64 x 1/2) (-.f64 1 x)))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 x) (sqrt.f64 -1)) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (neg.f64 (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 x (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (+.f64 (neg.f64 x) -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (+.f64 1 x)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(/.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 x) (cbrt.f64 (+.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(/.f64 (-.f64 1 x) (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (-.f64 1 x) (*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x 3) 1)) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 (-.f64 1 x) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (-.f64 1 x) (/.f64 (fma.f64 x x -1) (+.f64 x -1)))
(*.f64 (+.f64 x -1) (/.f64 (-.f64 1 x) (fma.f64 x x -1)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 4))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/3)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)
(/.f64 (-.f64 1 x) (+.f64 1 x))
(neg.f64 (/.f64 (-.f64 1 x) (+.f64 (neg.f64 x) -1)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 (-.f64 1 x) (+.f64 1 x))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (/.f64 1 (+.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 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)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 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))
(*.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)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 (neg.f64 x) -1)))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (+.f64 -1 (neg.f64 x))))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 -1 x)))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))

eval48.0ms (1.7%)

Compiler

Compiled 2409 to 2002 computations (16.9% saved)

prune17.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1323135
Fresh000
Picked011
Done000
Total1324136
Error
0b
Counts
136 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.8b
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
Compiler

Compiled 46 to 38 computations (17.4% saved)

localize19.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiled 47 to 33 computations (29.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite46.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
968×pow1_binary64
904×add-log-exp_binary64
903×log1p-expm1-u_binary64
903×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
117811
2241211
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (*.f64 (*.f64 x 1/2) (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (+.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 1/2) x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))))))

simplify49.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
374×fma-def_binary64
328×distribute-rgt-in_binary64
300×distribute-lft-in_binary64
205×sub-neg_binary64
199×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0115888
1309751
21093646
35449646
Stop Event
1×node limit
Counts
53 → 59
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 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x)))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.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 2)) (*.f64 -1 x)))
(-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(*.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (*.f64 (*.f64 x 1/2) (-.f64 1 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (+.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))
(pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x))
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1/2 (pow.f64 x 2))
(*.f64 x (*.f64 x 1/2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/2)) x)
(*.f64 x (fma.f64 x 1/2 -1))
(+.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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(+.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 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))) (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 1 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(*.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (/.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 x (*.f64 (*.f64 x 1/2) (-.f64 1 x))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 1/8) (pow.f64 (-.f64 1 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 x x) 3) 1/8 (pow.f64 (-.f64 1 x) 3)) 1) (+.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (+.f64 (-.f64 1 x) (*.f64 (*.f64 x x) -1/2)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 6) 1/8 (pow.f64 (-.f64 1 x) 3)) (fma.f64 (-.f64 1 x) (fma.f64 x (*.f64 x -1/2) (-.f64 1 x)) (*.f64 (pow.f64 x 4) 1/4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x 1/2)) 2) (pow.f64 (-.f64 1 x) 2))) (neg.f64 (-.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (+.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (+.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (fma.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1) (*.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (*.f64 x 1/2) 1) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 (fma.f64 x 1/2 1) x 1))))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x 1/2) 1) (fma.f64 x (*.f64 x 1/2) 1)) (*.f64 x x)) (+.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 (*.f64 x (*.f64 x 1/2)) 2)) (-.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 1)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(pow.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3) 1/3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 3)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)) 2)
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 2))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(log.f64 (exp.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x) 3))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(exp.f64 (log.f64 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 x (*.f64 x 1/2) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (*.f64 x 1/2) x (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 1 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 1 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (*.f64 x x) 1/2 (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (*.f64 x (sqrt.f64 1/2)) (*.f64 x (sqrt.f64 1/2)) (-.f64 1 x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x (*.f64 x 1/2)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(fma.f64 x (fma.f64 x 1/2 -1) 1)

localize7.0ms (0.3%)

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))

rewrite36.0ms (1.3%)

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))))))))

simplify47.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
528×log-prod_binary64
492×fma-neg_binary64
371×exp-prod_binary64
262×sqr-pow_binary64
242×exp-sum_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038120
175120
2282120
31672120
43905120
55769120
Stop Event
1×node limit
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)))
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
Outputs
(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 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))

localize24.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiled 59 to 46 computations (22% saved)

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
0.0ms
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 (+.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))))

rewrite57.0ms (2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0837
118034
2249934
Stop Event
1×node limit
Counts
3 → 95
Calls
Call 1
Inputs
(/.f64 (+.f64 1 x) (-.f64 1 x))
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (neg.f64 x)) (/.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 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (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 -.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 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(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 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 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 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)))) (#(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 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))))) (#(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 (log.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 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(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 /.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (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 (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 x) (log1p.f64 (neg.f64 x))) 1/2))))))

simplify60.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
594×fma-def_binary64
520×associate-/l*_binary64
479×associate-/r*_binary64
474×times-frac_binary64
385×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02882233
17302085
226471926
Stop Event
1×node limit
Counts
131 → 191
Calls
Call 1
Inputs
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)))))))
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 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)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 1)
(*.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(*.f64 (+.f64 1 x) (/.f64 1 (-.f64 1 x)))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (-.f64 1 x))))
(*.f64 (+.f64 -1 (neg.f64 x)) (/.f64 1 (neg.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4)) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) (-.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 1 x)) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 1 x))) (/.f64 (+.f64 1 x) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 (-.f64 1 x))) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))
(*.f64 (/.f64 (+.f64 1 x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 3)
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) -1)
(neg.f64 (/.f64 (+.f64 1 x) (neg.f64 (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 (-.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) -1) (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4))
(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (/.f64 1 (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (-.f64 1 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)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 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))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1)
(/.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (sqrt.f64 (neg.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))
Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(+.f64 1 (*.f64 2 (fma.f64 x x x)))
(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) (+.f64 1 (*.f64 2 (fma.f64 x x x))))
(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))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 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)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 (/.f64 -2 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)))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 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)))))
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 1/2 x) x) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 (*.f64 1/2 x) x) x)))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 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 (sqrt.f64 -1)) x))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (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 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (*.f64 x x))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (fma.f64 -1/2 (/.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) x) (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 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (sqrt.f64 -1)) (*.f64 x x))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 (/.f64 -1/2 (sqrt.f64 -1)) (*.f64 x x)) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 x (fma.f64 x (*.f64 x 1/2) 1))
(+.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 (pow.f64 x 3) 1/2 (fma.f64 (*.f64 x x) 1/2 x)))
(fma.f64 1/2 (*.f64 x (fma.f64 x x x)) (+.f64 1 x))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(-.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 (sqrt.f64 -1)) x))
(+.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)))))
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(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 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))
(*.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)))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) -1)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(/.f64 (sqrt.f64 (+.f64 -1 (neg.f64 x))) (sqrt.f64 (neg.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (neg.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 -1 x)))
(/.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 (-.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/2)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 1)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))) 3)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 1/4) 2)
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(fabs.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1/2))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/2)
(sqrt.f64 (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))

eval103.0ms (3.7%)

Compiler

Compiled 5103 to 4225 computations (17.2% saved)

prune39.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New2635268
Fresh000
Picked101
Done033
Total2648272
Error
0b
Counts
272 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
▶1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
▶0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
▶1.0b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
▶0.8b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.8b
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
▶1.5b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 134 to 114 computations (14.9% saved)

localize22.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiled 49 to 38 computations (22.4% saved)

series2.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite45.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
953×pow1_binary64
893×add-log-exp_binary64
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
90×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118013
2239013
Stop Event
1×node limit
Counts
1 → 17
Calls
Call 1
Inputs
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))))) (#(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 1 -1/2) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) -1/2))))) (#(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 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))))

simplify46.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
558×unswap-sqr_binary64
473×fma-def_binary64
395×fma-neg_binary64
381×cancel-sign-sub-inv_binary64
325×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078485
1176481
2445455
31506423
44551423
Stop Event
1×node limit
Counts
29 → 55
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 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.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 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.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 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) 1)
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) -1/2))
(*.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))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(exp.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 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 (fma.f64 x 1/2 -1) 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 (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 (fma.f64 x -1/2 1/2)) (-.f64 1 x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -1/2 1/2)) 1) x)
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(fma.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (neg.f64 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(fma.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (neg.f64 (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (sqrt.f64 -1) (-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (*.f64 -1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 (*.f64 x x))))))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))) 1)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 1 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 1)
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (-.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)) (cbrt.f64 (*.f64 (-.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(*.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (/.f64 1 (-.f64 1 x)) -1/2))
(*.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))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1/2))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -1)
(/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2) 3))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
(exp.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))

localize4.0ms (0.1%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize11.0ms (0.4%)

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 (0.1%)

Counts
2 → 16
Calls

6 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
(atan.f64 (/.f64 1 (+.f64 1 x)))
0.0ms
x
@0
(atan.f64 (/.f64 1 (+.f64 1 x)))

rewrite44.0ms (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
0616
112716
2160416
Stop Event
1×node limit
Counts
2 → 38
Calls
Call 1
Inputs
(/.f64 1 (+.f64 1 x))
(atan.f64 (/.f64 1 (+.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (/.f64 1 (cbrt.f64 (+.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)) (/.f64 1 (cbrt.f64 (+.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 (neg.f64 (+.f64 1 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 (+.f64 1 (*.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 (/.f64 1 (cbrt.f64 (+.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 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 (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)))))))))

simplify45.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
492×fma-neg_binary64
474×associate-*l*_binary64
413×associate-*r*_binary64
359×unswap-sqr_binary64
250×fabs-mul_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0109698
1268588
2837537
34661537
Stop Event
1×node limit
Counts
54 → 78
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))))
(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))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(pow.f64 (+.f64 1 x) -1)
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(exp.f64 (neg.f64 (log1p.f64 x)))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(*.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
(exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))
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 (fma.f64 x x 1) x)
(fma.f64 x x (-.f64 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 (fma.f64 x x 1) x) (pow.f64 x 3))
(-.f64 (fma.f64 x x 1) (+.f64 x (pow.f64 x 3)))
(-.f64 (fma.f64 x 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 1 x) (/.f64 (/.f64 -1 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 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 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 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 4)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -1 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 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 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 1 (pow.f64 x 3)) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 4)))
(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 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 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 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 x)))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 1 (/.f64 1 (+.f64 1 x)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 -1 (/.f64 1 (neg.f64 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 1 (*.f64 x x)) x))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (fma.f64 x x 1) x) (+.f64 1 (pow.f64 x 3)))
(/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))
(/.f64 (-.f64 1 x) (-.f64 1 (*.f64 x x)))
(pow.f64 (+.f64 1 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (/.f64 1 (+.f64 1 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(sqrt.f64 (pow.f64 (+.f64 1 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) 1))
(+.f64 (/.f64 1 (+.f64 1 x)) 0)
(/.f64 1 (+.f64 1 x))
(/.f64 -1 (-.f64 -1 x))
(exp.f64 (neg.f64 (log1p.f64 x)))
(-.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 1 (atan.f64 (/.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 x)))
(*.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.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 x)))
(*.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.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 x)))
(pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(log.f64 (exp.f64 (atan.f64 (/.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 x)))
(cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 -1 (-.f64 -1 x)))
(expm1.f64 (log1p.f64 (atan.f64 (/.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 x)))
(log1p.f64 (expm1.f64 (atan.f64 (/.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 x)))
(exp.f64 (log.f64 (atan.f64 (/.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 x)))

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series1.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite52.0ms (1.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116315
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
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simplify42.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
915×times-frac_binary64
522×cancel-sign-sub-inv_binary64
470×fma-neg_binary64
300×associate-/l*_binary64
300×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01501267
13411226
215821223
Stop Event
1×node limit
Counts
88 → 85
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))))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(*.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 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))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(/.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)))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))
(/.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)))
(/.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))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))
(/.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))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.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))))
(/.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)))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
(-.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)))))
(*.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 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))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(*.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)))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 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))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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))))
(/.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)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 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)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.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))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
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)))
(+.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))
(atan.f64 (-.f64 1 x))
(+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))
(atan.f64 (-.f64 1 x))
(+.f64 (atan.f64 (-.f64 1 x)) 0)
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 x))
(+.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(+.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)
(atan.f64 (-.f64 1 x))
(*.f64 1 (atan.f64 (-.f64 1 x)))
(atan.f64 (-.f64 1 x))
(*.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(*.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))
(atan.f64 (-.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(*.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 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))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(atan.f64 (-.f64 1 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)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.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)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.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))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 2 (+.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3)) (+.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) (+.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2)) (+.f64 (atan.f64 (-.f64 1 x)) 2))
(/.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))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (-.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -2))))
(/.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)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (-.f64 1 (atan.f64 (-.f64 1 x))))) (-.f64 2 (atan.f64 (-.f64 1 x))))
(pow.f64 (atan.f64 (-.f64 1 x)) 1)
(atan.f64 (-.f64 1 x))
(pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)
(atan.f64 (-.f64 1 x))
(pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)
(atan.f64 (-.f64 1 x))
(pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)
(atan.f64 (-.f64 1 x))
(sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))
(atan.f64 (-.f64 1 x))
(log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))
(atan.f64 (-.f64 1 x))
(atan.f64 (-.f64 1 x))
(expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))
(atan.f64 (-.f64 1 x))
(fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)
(atan.f64 (-.f64 1 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)
(atan.f64 (-.f64 1 x))
(fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)
(atan.f64 (-.f64 1 x))
(-.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)
(+.f64 1 (atan.f64 (-.f64 1 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)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(*.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 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))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))
(+.f64 1 (atan.f64 (-.f64 1 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)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 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))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 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))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.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)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 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)))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 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))))
(/.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 1 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (atan.f64 (-.f64 1 x)))))
(/.f64 (-.f64 -1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 -1 (-.f64 (atan.f64 (-.f64 1 x)) (pow.f64 (atan.f64 (-.f64 1 x)) 2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))
(/.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))
(pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))
(+.f64 1 (atan.f64 (-.f64 1 x)))
(exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))
(fma.f64 1 (atan.f64 (-.f64 1 x)) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
(fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))

localize66.0ms (2.3%)

Compiler

Compiled 51 to 35 computations (31.4% saved)

eval141.0ms (5%)

Compiler

Compiled 4991 to 4242 computations (15% saved)

prune58.0ms (2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New3081309
Fresh000
Picked011
Done077
Total3089317
Error
0b
Counts
317 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓1.0b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.8b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶1.0b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
✓0.8b
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓1.5b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 94 to 78 computations (17% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 35 to 19 computations (45.7% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite47.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
759×pow1_binary64
713×add-log-exp_binary64
712×log1p-expm1-u_binary64
712×expm1-log1p-u_binary64
698×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11358
219628
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (/.f64 1 (-.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (fma.f64 x x x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))) (neg.f64 (-.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (+.f64 1 (-.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x x))))))

simplify50.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
799×div-sub_binary64
467×associate-*l*_binary64
413×associate-*r*_binary64
404×log-prod_binary64
266×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103758
1277662
2917639
35622639
Stop Event
1×node limit
Counts
49 → 59
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(-.f64 1 (-.f64 x (*.f64 x x)))
(-.f64 (+.f64 1 (fma.f64 x x (-.f64 1 x))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 x x x))))
(-.f64 (+.f64 (*.f64 x x) 1) x)
(*.f64 1 (fma.f64 x x (-.f64 1 x)))
(*.f64 (fma.f64 x x (-.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (/.f64 1 (-.f64 1 (fma.f64 x x x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 x x x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))) (neg.f64 (-.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x)))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (+.f64 1 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x x) (-.f64 1 x)))
(pow.f64 (fma.f64 x x (-.f64 1 x)) 1)
(pow.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 3)
(pow.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 x x (-.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x (-.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 x x (-.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 x x (-.f64 1 x))))
(fma.f64 1 (-.f64 1 x) (*.f64 x x))
(fma.f64 1 (*.f64 x x) (-.f64 1 x))
(fma.f64 x x (-.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x x))
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x x))
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 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(fma.f64 -1 x (*.f64 x x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 1 (-.f64 x (*.f64 x x)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (+.f64 1 (fma.f64 x x (-.f64 1 x))) 1)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 1 (fma.f64 x x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(-.f64 (+.f64 (*.f64 x x) 1) x)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 1 (fma.f64 x x (-.f64 1 x)))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 (fma.f64 x x (-.f64 1 x)) 1)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(*.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (/.f64 1 (-.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))) (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(/.f64 1 (/.f64 (-.f64 1 (fma.f64 x x x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (-.f64 1 x) (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (*.f64 x x))))))
(*.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (*.f64 (*.f64 x x) (-.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x 6)) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4))) (neg.f64 (-.f64 1 (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (+.f64 1 (*.f64 (-.f64 (+.f64 1 x) (*.f64 x x)) (-.f64 x (*.f64 x x)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (fma.f64 (-.f64 x (fma.f64 x x -1)) (-.f64 x (*.f64 x x)) 1))
(/.f64 (-.f64 1 (pow.f64 (-.f64 x (*.f64 x x)) 3)) (fma.f64 (-.f64 x (*.f64 x x)) (-.f64 x (fma.f64 x x -1)) 1))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (+.f64 1 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (-.f64 (+.f64 1 x) (*.f64 x x)))
(/.f64 (-.f64 1 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (-.f64 x (fma.f64 x x -1)))
(/.f64 (-.f64 1 (*.f64 (*.f64 x x) (pow.f64 (-.f64 1 x) 2))) (-.f64 x (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 x x) (-.f64 1 x)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x 4)) (-.f64 1 (fma.f64 x x x)))
(pow.f64 (fma.f64 x x (-.f64 1 x)) 1)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(pow.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3) 1/3)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 x x (-.f64 1 x))) 3)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(pow.f64 (hypot.f64 x (sqrt.f64 (-.f64 1 x))) 2)
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(sqrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 2))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(log.f64 (exp.f64 (fma.f64 x x (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(cbrt.f64 (pow.f64 (fma.f64 x x (-.f64 1 x)) 3))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(expm1.f64 (log1p.f64 (fma.f64 x x (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(log1p.f64 (expm1.f64 (fma.f64 x x (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(exp.f64 (log.f64 (fma.f64 x x (-.f64 1 x))))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(fma.f64 1 (-.f64 1 x) (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(fma.f64 1 (*.f64 x x) (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(fma.f64 x x (-.f64 1 x))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (-.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)
(fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (*.f64 x x))
(+.f64 (-.f64 1 x) (*.f64 x x))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)

eval19.0ms (0.7%)

Compiler

Compiled 984 to 655 computations (33.4% saved)

prune9.0ms (0.3%)

Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done088
Total59968
Error
0b
Counts
68 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
✓1.0b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓1.0b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.8b
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
✓1.0b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓1.0b
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
✓0.8b
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓1.5b
(*.f64 2 (atan.f64 1))
Compiler

Compiled 94 to 78 computations (17% saved)

regimes50.0ms (1.8%)

Counts
11 → 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 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.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)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
(*.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:

24.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
6.0ms
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
(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 190 to 153 computations (19.5% saved)

regimes21.0ms (0.7%)

Counts
10 → 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 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.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)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Calls

5 calls:

5.0ms
x
5.0ms
(*.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
(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(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b1(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b1(/.f64 (-.f64 1 x) (+.f64 1 x))
Compiler

Compiled 138 to 111 computations (19.6% saved)

regimes6.0ms (0.2%)

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 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 65 to 52 computations (20% saved)

regimes7.0ms (0.2%)

Counts
6 → 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 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
Outputs
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 53 to 43 computations (18.9% saved)

regimes5.0ms (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 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
Outputs
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 41 to 34 computations (17.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.5b remaining (-51.3%)

Threshold costs -0.5b (-51.3%)

Counts
3 → 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))))
Outputs
(*.f64 2 (atan.f64 (-.f64 1 x)))
Calls

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
1.0b1x
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify36.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
26×cancel-sign-sub-inv_binary64
25×distribute-rgt-neg-in_binary64
15×distribute-lft-neg-in_binary64
14×*-commutative_binary64
11×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033103
155103
274103
3103103
4134103
5167103
6186103
7199103
8209103
9214103
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 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x 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 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (-.f64 1 (-.f64 x (*.f64 x (*.f64 x 1/2))))))
(*.f64 2 (atan.f64 (+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x (*.f64 x 1/2)) (-.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x (*.f64 x 1/2)))))
(*.f64 2 (atan.f64 (+.f64 (-.f64 1 x) (*.f64 x x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 75 to 61 computations (18.7% saved)

soundness100.0ms (3.5%)

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)

end53.0ms (1.9%)

Compiler

Compiled 69 to 55 computations (20.3% saved)

Profiling

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