Details

Time bar (total: 6.1s)

analyze6.0ms (0.1%)

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

Compiled 13 to 11 computations (15.4% saved)

sample1.5s (24.7%)

Results
1.5s8256×body256valid
1.0ms14×body256invalid

preprocess71.0ms (1.2%)

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)

simplify64.0ms (1.1%)

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)

prune2.0ms (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)

localize42.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiled 46 to 35 computations (23.9% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite139.0ms (2.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (1.3%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
087626
1244602
2760510
33214489
Stop Event
1×node limit
Counts
240 → 235
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
Outputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (fma.f64 x (*.f64 x 2) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x)))
(+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -2 (*.f64 x x)) (/.f64 2 x))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 -1 (-.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 3) -1/2 (-.f64 (*.f64 x (*.f64 x 1/2)) x)))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 x (*.f64 (*.f64 x -1/2) (+.f64 x -1)) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 -1/2 x) (*.f64 x (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1/2 (pow.f64 x 3)) (sqrt.f64 -1))) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))

eval173.0ms (2.8%)

Compiler

Compiled 6373 to 4844 computations (24% saved)

prune32.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2305235
Fresh000
Picked011
Done000
Total2306236
Error
0b
Counts
236 → 6
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))))))
▶0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
▶0.0b
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
▶0.8b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
Compiler

Compiled 138 to 118 computations (14.5% saved)

localize29.0ms (0.5%)

Local error

Found 4 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))
✓0.0b
(atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))))
Compiler

Compiled 59 to 46 computations (22% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite88.0ms (1.4%)

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

Useful iterations: 1 (0.0ms)

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

simplify58.0ms (1%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0104941
1315859
21040706
34386668
Stop Event
1×node limit
Counts
239 → 235
Calls
Call 1
Inputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 (*.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)))
Outputs
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(fma.f64 x 2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1))
(fma.f64 2 (*.f64 x x) (fma.f64 2 x 1))
(fma.f64 2 (*.f64 x x) (fma.f64 x 2 1))
(fma.f64 2 (fma.f64 x x x) 1)
(+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 (*.f64 2 x) 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 2 x 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) (fma.f64 x 2 1)))
(fma.f64 2 (pow.f64 x 3) (fma.f64 2 (fma.f64 x x x) 1))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(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 -2 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
-1
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.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 -2 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (/.f64 -2 x) (+.f64 (/.f64 -2 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x)))))
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 (*.f64 1/2 x) x) x))
(-.f64 (fma.f64 (*.f64 x x) 1/2 1) x)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 (pow.f64 x 3) -1/2 (*.f64 (*.f64 1/2 x) x)) x))
(fma.f64 (pow.f64 x 3) -1/2 (-.f64 (fma.f64 (*.f64 x x) 1/2 1) x))
(fma.f64 x (*.f64 x (*.f64 (-.f64 1 x) 1/2)) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 1/2 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 1/2 x))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (fma.f64 (*.f64 x x) 1/2 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 1 (fma.f64 1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (fma.f64 (pow.f64 x 3) 1/2 (fma.f64 (*.f64 x x) 1/2 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x (fma.f64 x x x)) x))
(*.f64 (+.f64 1 x) (fma.f64 (*.f64 x x) 1/2 1))
(sqrt.f64 -1)
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 -1/2 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 x) (sqrt.f64 -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 x) -1)))
(-.f64 (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))) (/.f64 1 (*.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (-.f64 (*.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (/.f64 2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (+.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 x 3))) (/.f64 -1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 (/.f64 -1/2 (sqrt.f64 -1)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 -1 x) (sqrt.f64 -1))) (*.f64 (/.f64 (/.f64 1 (*.f64 x x)) (sqrt.f64 -1)) (+.f64 -1/2 (/.f64 -1/2 x))))

localize8.0ms (0.1%)

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))

rewrite42.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
056
11026
212386
Stop Event
1×node limit
Counts
1 → 16
Calls
Call 1
Inputs
(atan.f64 (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))))

simplify9.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

localize23.0ms (0.4%)

Local error

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

Compiled 49 to 38 computations (22.4% saved)

series4.0ms (0.1%)

Counts
2 → 16
Calls

6 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
(atan.f64 (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)
0.0ms
x
@-inf
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))

rewrite62.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
441×log-prod_binary64
347×exp-prod_binary64
277×prod-exp_binary64
252×pow2_binary64
243×pow-prod-down_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0928
119928
2260426
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (-.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 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4) (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/4)))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
568×fma-def_binary64
501×times-frac_binary64
273×distribute-rgt-out_binary64
271×div-sub_binary64
242×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035272
1101250
2257224
3994211
44916210
Stop Event
1×node limit
Counts
74 → 74
Calls
Call 1
Inputs
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
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 (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)))))
Outputs
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 -1 x)) (+.f64 1 (*.f64 -1 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 (neg.f64 x)) (+.f64 1 (neg.f64 x))) -1/2))
(atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 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 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 (*.f64 x x) (fma.f64 x -1/2 1/2) (-.f64 1 x))
(*.f64 (-.f64 1 x) (fma.f64 1/2 (*.f64 x x) 1))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (neg.f64 (/.f64 (sqrt.f64 -1) x)))
(-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x))
(+.f64 (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 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) 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) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (*.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 (/.f64 -1/2 x) 1/2)))
(fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (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 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) 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) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (*.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 (/.f64 -1/2 x) 1/2)))
(fma.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (sqrt.f64 -1) (/.f64 (sqrt.f64 -1) x)))

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiled 61 to 48 computations (21.3% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite97.0ms (1.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01055
121949
2289249
Stop Event
1×node limit
Counts
4 → 239
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)
(/.f64 (-.f64 1 x) (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 2) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(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 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 2)) (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))) (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 3/2))))) 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simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
699×associate-*l/_binary64
385×fma-def_binary64
315×associate-/r*_binary64
280×times-frac_binary64
265×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0110825
1307791
2938681
33944654
Stop Event
1×node limit
Counts
287 → 282
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
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)))))
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)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 -1/2 (*.f64 x (*.f64 x (sqrt.f64 -1)))) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (pow.f64 x 3)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 (*.f64 x x) 9/2))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x (*.f64 x 9/2) (fma.f64 x -3 1))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 9/2)))
(+.f64 (fma.f64 x -3 1) (fma.f64 (*.f64 x x) 9/2 (*.f64 (pow.f64 x 3) -11/2)))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -11/2 1)))
(fma.f64 x -3 (fma.f64 (pow.f64 x 3) -11/2 (fma.f64 (*.f64 x x) 9/2 1)))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (+.f64 (/.f64 9/2 x) (/.f64 -11/2 (*.f64 x x))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (+.f64 (/.f64 9/2 x) (/.f64 -11/2 (*.f64 x x))))))
1
(+.f64 1 (*.f64 -2 x))
(+.f64 1 (*.f64 x -2))
(fma.f64 x -2 1)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 1))
(fma.f64 x -2 (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (*.f64 x 2) (fma.f64 x -2 1))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 1 (*.f64 -2 (+.f64 x (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
(fma.f64 x (*.f64 x 2) (fma.f64 -2 (+.f64 x (pow.f64 x 3)) 1))
-1
(-.f64 (*.f64 2 (/.f64 1 x)) 1)
(+.f64 (/.f64 2 x) -1)
(+.f64 -1 (/.f64 2 x))
(-.f64 (*.f64 2 (/.f64 1 x)) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.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 (/.f64 2 x) -1) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 2 x) (-.f64 -1 (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 2 x) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))) (+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 2 x) (-.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 x) (-.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)))))

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
✓0.0b
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
✓0.0b
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
Compiler

Compiled 64 to 51 computations (20.3% saved)

series4.0ms (0.1%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
1.0ms
x
@-inf
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
1.0ms
x
@0
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
0.0ms
x
@inf
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
0.0ms
x
@-inf
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))

rewrite85.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
499×log-prod_binary64
311×prod-diff_binary64
282×pow2_binary64
273×pow-prod-down_binary64
193×pow-to-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01141
124739
2310639
Stop Event
1×node limit
Counts
3 → 78
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)
(atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2))
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 5/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (-.f64 1 x))) (sqrt.f64 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6)) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/6) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8) (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 x) 1/4) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/8 (-.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))) 2))))))

simplify123.0ms (2%)

Algorithm
1×egg-herbie
Rules
691×unsub-neg_binary64
418×associate-/r/_binary64
373×fma-def_binary64
349×fma-neg_binary64
291×*-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072565
1204489
2644421
32942392
47124392
Stop Event
1×node limit
Counts
106 → 108
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 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (*.f64 -1 (/.f64 (sqrt.f64 -1) x)))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/2)) x))
(-.f64 (fma.f64 x (*.f64 x 1/2) 1) x)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (-.f64 1 x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) 1) x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (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 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 -1) x)) (*.f64 -1/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (sqrt.f64 -1) -1/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 -1 (/.f64 1/2 x)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 -1 (/.f64 1/2 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 (sqrt.f64 -1) (-.f64 (*.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))) (/.f64 (sqrt.f64 -1) x)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 3/8 (sqrt.f64 -1)) (*.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 3))) (+.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 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (fma.f64 -1 (/.f64 (sqrt.f64 -1) x) (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/8)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -3/8 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (sqrt.f64 -1) -1/8) (pow.f64 x 3)) (/.f64 (sqrt.f64 -1) x)))))
(+.f64 (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -1 (/.f64 1/2 x))) (+.f64 (*.f64 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) -1/2) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (+.f64 -1 (/.f64 1/2 x)) (/.f64 1/2 (*.f64 x x)))))
(-.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 -1 (/.f64 1/2 x)))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x))) 1/4) 2))
(atan.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (neg.f64 x)) (-.f64 1 (neg.f64 x))) 1/4) 2))
(atan.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (*.f64 -3/16 (pow.f64 x 3)) (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/2 x) 1)))
(fma.f64 -3/16 (pow.f64 x 3) (fma.f64 1/8 (*.f64 x x) (fma.f64 -1/2 x 1)))
(fma.f64 (pow.f64 x 3) -3/16 (fma.f64 (*.f64 x x) 1/8 (fma.f64 x -1/2 1)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -3/16 (fma.f64 x -1/2 1)))
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 1/8 (*.f64 x -3/16))))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4))
(*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x)))
(*.f64 (pow.f64 -1 1/4) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x)))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 -1 1/4) x) (+.f64 -1/2 (/.f64 1/8 x))))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (-.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 1/2 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x)))))
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 1 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3)))))
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))) (-.f64 1 (/.f64 1/2 x))))
(pow.f64 -1 1/4)
(+.f64 (pow.f64 -1 1/4) (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))))
(fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (pow.f64 -1 1/4))
(*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (/.f64 -1/2 x)))
(*.f64 (pow.f64 -1 1/4) (-.f64 1 (/.f64 1/2 x)))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (*.f64 x x)))))
(+.f64 (pow.f64 -1 1/4) (*.f64 (/.f64 (pow.f64 -1 1/4) x) (+.f64 -1/2 (/.f64 1/8 x))))
(*.f64 (pow.f64 -1 1/4) (+.f64 1 (-.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 1/2 x))))
(+.f64 (pow.f64 -1 1/4) (+.f64 (*.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x))) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (pow.f64 x 3))) (fma.f64 -1/2 (*.f64 (pow.f64 -1 1/4) (/.f64 1 x)) (*.f64 1/8 (*.f64 (pow.f64 -1 1/4) (/.f64 1 (*.f64 x x)))))))
(+.f64 (pow.f64 -1 1/4) (fma.f64 -3/16 (/.f64 (pow.f64 -1 1/4) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 -1 1/4) x) (*.f64 1/8 (/.f64 (/.f64 (pow.f64 -1 1/4) x) x)))))
(+.f64 (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -1/2 x) 1)) (*.f64 (pow.f64 -1 1/4) (+.f64 (/.f64 -3/16 (pow.f64 x 3)) (/.f64 1/8 (*.f64 x x)))))
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 1 (/.f64 -1/2 x)) (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3)))))
(*.f64 (pow.f64 -1 1/4) (+.f64 (+.f64 (/.f64 1/8 (*.f64 x x)) (/.f64 -3/16 (pow.f64 x 3))) (-.f64 1 (/.f64 1/2 x))))

eval593.0ms (9.8%)

Compiler

Compiled 21620 to 17069 computations (21% saved)

prune272.0ms (4.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New9326938
Fresh000
Picked101
Done145
Total93410944
Error
0b
Counts
944 → 10
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
▶0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))
0.8b
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
▶0.8b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
▶1.8b
(*.f64 2 (atan.f64 1))
✓0.8b
(*.f64 2 (atan.f64 (-.f64 1 x)))
▶0.9b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
Compiler

Compiled 166 to 147 computations (11.4% saved)

localize60.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiled 61 to 48 computations (21.3% saved)

series13.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
1.0ms
x
@0
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
1.0ms
x
@inf
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)
1.0ms
x
@inf
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
1.0ms
x
@-inf
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))

rewrite105.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
474×log-prod_binary64
368×exp-prod_binary64
270×pow2_binary64
262×pow-prod-down_binary64
186×pow-to-exp_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01045
121741
2280439
Stop Event
1×node limit
Counts
3 → 103
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))
(atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))
(pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))) 2) -3/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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)) -3/4) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) 2)) (cbrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))) (sqrt.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))))) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (log.f64 (sqrt.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2) (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2)) (cbrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (sqrt.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) (/.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (-.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1) (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) (cbrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))) 5/2) (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3/4 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) 1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -3/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 -1/2 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x))) -3/4) 2))))))

simplify81.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
598×associate-*l/_binary64
511×associate-/l/_binary64
392×associate-*r/_binary64
289×associate-/r*_binary64
288×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090685
1247657
2763547
33329520
Stop Event
1×node limit
Counts
139 → 133
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
1
(+.f64 (*.f64 -3 x) 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
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 1/2 (*.f64 x x) 1) x)
(+.f64 1 (*.f64 x (fma.f64 x 1/2 -1)))
(+.f64 1 (+.f64 (*.f64 -1/2 (pow.f64 x 3)) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) x))
(fma.f64 -1/2 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (*.f64 x x) 1) x))
(fma.f64 x (*.f64 x (+.f64 1/2 (*.f64 x -1/2))) (-.f64 1 x))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (-.f64 2 (*.f64 -1 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))
(sqrt.f64 -1)
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1)))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 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 (sqrt.f64 -1) (*.f64 (+.f64 (/.f64 -1/2 x) 1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))))
(+.f64 (/.f64 1 (*.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 2 (+.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)) (*.f64 2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))) (+.f64 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 -1 (sqrt.f64 -1)) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 1 (*.f64 x (sqrt.f64 -1)))) (fma.f64 1/2 (/.f64 (-.f64 2 (neg.f64 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 (*.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (+.f64 2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) -1)) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))) (*.f64 -1/2 (/.f64 (+.f64 2 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 2)) (*.f64 x (*.f64 x (sqrt.f64 -1))))))))
(+.f64 (+.f64 (sqrt.f64 -1) (/.f64 (/.f64 1 x) (sqrt.f64 -1))) (+.f64 (/.f64 -1/2 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (/.f64 1/2 (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (/.f64 1 (*.f64 x (sqrt.f64 -1))) (*.f64 (/.f64 1 (*.f64 (*.f64 x x) (sqrt.f64 -1))) (+.f64 -1/2 (/.f64 1/2 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
(atan.f64 (sqrt.f64 (/.f64 (+.f64 1 (*.f64 -1 x)) (-.f64 1 (*.f64 -1 x)))))
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
1
(+.f64 (*.f64 -3 x) 1)
(fma.f64 -3 x 1)
(fma.f64 x -3 1)
(+.f64 (*.f64 -3 x) (+.f64 1 (*.f64 9/2 (pow.f64 x 2))))
(+.f64 (fma.f64 -3 x 1) (*.f64 (*.f64 x x) 9/2))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 1))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) 1))
(+.f64 (*.f64 -3 x) (+.f64 1 (+.f64 (*.f64 -11/2 (pow.f64 x 3)) (*.f64 9/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 x 1) (fma.f64 -11/2 (pow.f64 x 3) (*.f64 (*.f64 x x) 9/2)))
(+.f64 (fma.f64 x -3 1) (fma.f64 (*.f64 x x) 9/2 (*.f64 (pow.f64 x 3) -11/2)))
(fma.f64 x -3 (fma.f64 (*.f64 x x) 9/2 (fma.f64 (pow.f64 x 3) -11/2 1)))
(fma.f64 x -3 (fma.f64 x (*.f64 x 9/2) (fma.f64 (pow.f64 x 3) -11/2 1)))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 9/2 x) (+.f64 (/.f64 -11/2 (*.f64 x x)) -3))))
(sqrt.f64 -1)
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 -3 (/.f64 9/2 x))))
(+.f64 (*.f64 -3 (/.f64 (sqrt.f64 -1) x)) (+.f64 (*.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3))) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (+.f64 (sqrt.f64 -1) (*.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (fma.f64 -11/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 3)) (fma.f64 9/2 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (sqrt.f64 -1))))
(+.f64 (fma.f64 -3 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 -1)) (*.f64 (/.f64 (sqrt.f64 -1) (*.f64 x x)) (+.f64 (/.f64 -11/2 x) 9/2)))
(+.f64 (sqrt.f64 -1) (*.f64 (/.f64 (sqrt.f64 -1) x) (+.f64 (/.f64 9/2 x) (+.f64 (/.f64 -11/2 (*.f64 x x)) -3))))

localize9.0ms (0.2%)

Compiler

Compiled 9 to 9 computations (0% saved)

localize56.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 21 computations (19.2% saved)

series4.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite82.0ms (1.3%)

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
(atan.f64 (/.f64 1 (+.f64 1 x)))
(/.f64 1 (+.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (/.f64 1 (+.f64 1 x)))))))))
((#(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)))))))

simplify105.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
601×times-frac_binary64
554×div-sub_binary64
327×associate-/l/_binary64
323×fma-def_binary64
257×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028220
173207
2186203
3642201
42724200
57366200
Stop Event
1×node limit
Counts
54 → 54
Calls
Call 1
Inputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
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))))
Outputs
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (neg.f64 x))))
(atan.f64 (/.f64 1 (+.f64 1 x)))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(-.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 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))))

localize37.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series3.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

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

rewrite94.0ms (1.5%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0721
116315
2236415
Stop Event
1×node limit
Counts
2 → 72
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)
(+.f64 1 (atan.f64 (-.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (atan.f64 (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (+.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) (+.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1)) (+.f64 (atan.f64 (-.f64 1 x)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (atan.f64 (-.f64 1 x)) -1) (+.f64 (atan.f64 (-.f64 1 x)) -1))) (-.f64 1 (+.f64 (atan.f64 (-.f64 1 x)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x atan.f64 (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (atan.f64 (-.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))) (/.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) (*.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (/.f64 1 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))) (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (atan.f64 (-.f64 1 x))) (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) (+.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3))) (neg.f64 (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2))) (neg.f64 (-.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (atan.f64 (-.f64 1 x)) 2) 1) (+.f64 (atan.f64 (-.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 3)) 1) (-.f64 (+.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (atan.f64 (-.f64 1 x)) 2)) 1) (-.f64 1 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (atan.f64 (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (atan.f64 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (atan.f64 (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 1 x))) 2) (cbrt.f64 (atan.f64 (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (atan.f64 (-.f64 1 x))) (sqrt.f64 (atan.f64 (-.f64 1 x))) 1)))))

simplify29.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 29 computations (17.1% saved)

series4.0ms (0.1%)

Counts
3 → 25
Calls

9 calls:

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

rewrite79.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
116221
2187321
Stop Event
1×node limit
Counts
3 → 71
Calls
Call 1
Inputs
(cbrt.f64 (+.f64 (*.f64 -3 x) 1))
(atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1)))
(+.f64 (*.f64 -3 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -3 x 1) 1/6) (pow.f64 (fma.f64 -3 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 -3 x 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 -3 x 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) -1)) (cbrt.f64 (fma.f64 -3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 x 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 x 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -3 x)) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) (pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2) (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (cbrt.f64 (fma.f64 -3 x 1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 -3 x) 2) (fma.f64 -3 x -1)) (/.f64 1 (fma.f64 -3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -3 x 1)) (sqrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) -1) (/.f64 1 (fma.f64 -3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) 1) (cbrt.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 -3 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 2) (pow.f64 (fma.f64 -3 x 1) 1/6)) (pow.f64 (fma.f64 -3 x 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x))) (+.f64 1 (*.f64 -27 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -3 x -1) (+.f64 (pow.f64 (*.f64 -3 x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3))) (+.f64 1 (-.f64 (pow.f64 (*.f64 -3 x) 2) (*.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) -1) (fma.f64 -3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 -27 (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) (-.f64 1 (*.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 -3 x) 2) -1)) (neg.f64 (fma.f64 -3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (*.f64 -3 x) 2)) (-.f64 1 (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x -3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -3 x)) 2) (cbrt.f64 (*.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -3 x)) (sqrt.f64 (*.f64 -3 x)) 1)))))

simplify56.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
719×unswap-sqr_binary64
674×fma-def_binary64
666×distribute-rgt-neg-in_binary64
608×associate-*l*_binary64
420×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026223
170177
2152175
3419175
41420175
55120175
Stop Event
1×node limit
Counts
96 → 84
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (*.f64 -5/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
1
(*.f64 -3 x)
(+.f64 1 (*.f64 -3 x))
(+.f64 1 (*.f64 -3 x))
(+.f64 1 (*.f64 -3 x))
(*.f64 -3 x)
(+.f64 1 (*.f64 -3 x))
(+.f64 1 (*.f64 -3 x))
(+.f64 1 (*.f64 -3 x))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (neg.f64 x)))
(fma.f64 -1 (fma.f64 x x x) 1)
(-.f64 1 (fma.f64 x x x))
(+.f64 (*.f64 -5/3 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))))
(fma.f64 -5/3 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 (*.f64 x x) (neg.f64 x))))
(fma.f64 -5/3 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) 1))
(-.f64 (fma.f64 -5/3 (pow.f64 x 3) 1) (fma.f64 x x x))
(-.f64 (fma.f64 x (*.f64 x (fma.f64 x -5/3 -1)) 1) x)
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -3 x)) 1/3))
(atan.f64 (cbrt.f64 (-.f64 1 (*.f64 x 3))))
(atan.f64 (cbrt.f64 (fma.f64 x -3 1)))
1
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)
(*.f64 -3 x)
(*.f64 x -3)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)
(+.f64 1 (*.f64 -3 x))
(-.f64 1 (*.f64 x 3))
(fma.f64 x -3 1)

eval278.0ms (4.6%)

Compiler

Compiled 6924 to 5870 computations (15.2% saved)

prune73.0ms (1.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New4382440
Fresh011
Picked011
Done088
Total43812450
Error
0b
Counts
450 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))
▶0.8b
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
▶0.9b
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
✓0.0b
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
✓0.8b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓1.8b
(*.f64 2 (atan.f64 1))
▶0.9b
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))
✓0.8b
(*.f64 2 (atan.f64 (-.f64 1 x)))
✓0.9b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
Compiler

Compiled 129 to 112 computations (13.2% saved)

localize49.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiled 50 to 43 computations (14% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite104.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
950×pow1_binary64
889×add-log-exp_binary64
889×log1p-expm1-u_binary64
889×expm1-log1p-u_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0838
118626
2272326
Stop Event
1×node limit
Counts
3 → 101
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)
(+.f64 1 (/.f64 1 (+.f64 1 x)))
(atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) 0)))) (#(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 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (neg.f64 (log1p.f64 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 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(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 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (+.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) (+.f64 (/.f64 1 (+.f64 1 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) 3)) (+.f64 1 (-.f64 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) (expm1.f64 (neg.f64 (log1p.f64 x)))) (expm1.f64 (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (expm1.f64 (neg.f64 (log1p.f64 x))) (expm1.f64 (neg.f64 (log1p.f64 x))))) (-.f64 1 (expm1.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.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 (/.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 pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 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 fma.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 x)))) (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 1 x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (+.f64 1 x))) (-.f64 1 (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) (-.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2))) (neg.f64 (-.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) 1) (expm1.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1 x) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1 x) -2)) 1) (-.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1 x) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (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 log.f64 (+.f64 1 (expm1.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)))))))))

simplify67.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
601×times-frac_binary64
519×fma-def_binary64
338×associate-/l/_binary64
289×fma-neg_binary64
268×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039418
1100408
2255400
3859396
43418395
Stop Event
1×node limit
Counts
137 → 129
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))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
1
(+.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
1
(+.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(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)))
(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)))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
(atan.f64 (/.f64 1 (-.f64 1 (*.f64 -1 x))))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 1)
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.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 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.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 (/.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 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))
(-.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 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 (neg.f64 x) 2)
(-.f64 2 x)
(+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 2 (fma.f64 -1 x (*.f64 x x)))
(+.f64 (*.f64 x x) (-.f64 2 x))
(fma.f64 x x (-.f64 2 x))
(-.f64 (fma.f64 x x 2) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 2 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 2 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 (*.f64 x x) (-.f64 2 x)) (pow.f64 x 3))
(-.f64 (fma.f64 x x (-.f64 2 x)) (pow.f64 x 3))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) 2)
1
(+.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 1 (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 1 (/.f64 1 (*.f64 x x)))))
1
(+.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 1 (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (+.f64 1 (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (/.f64 -1 (*.f64 x x)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 1 (/.f64 1 (*.f64 x 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)))
(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)))
(atan.f64 (/.f64 1 (-.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 x)))
(atan.f64 (/.f64 1 (-.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 x)))

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts
2 → 16
Calls

6 calls:

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

rewrite79.0ms (1.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
112318
2159818
Stop Event
1×node limit
Counts
2 → 53
Calls
Call 1
Inputs
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(-.f64 (fma.f64 x x 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2) (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (-.f64 (fma.f64 x x 1) x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1)))) (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x (+.f64 x (fma.f64 x x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 x x 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 x x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 x x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 x x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 x x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x x 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x x 1)) (sqrt.f64 (fma.f64 x x 1)) (neg.f64 x))))))

simplify67.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
549×associate-*l*_binary64
464×distribute-rgt-neg-in_binary64
452×associate-*r*_binary64
434×unswap-sqr_binary64
369×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
013141
130115
254115
3106115
4269115
5873115
64107115
Stop Event
1×node limit
Counts
69 → 64
Calls
Call 1
Inputs
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
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)))
Outputs
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
(atan.f64 (+.f64 (*.f64 -1 x) (fma.f64 x x 1)))
(atan.f64 (fma.f64 -1 x (fma.f64 x x 1)))
(atan.f64 (-.f64 (fma.f64 x x 1) x))
(atan.f64 (fma.f64 x (+.f64 -1 x) 1))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 (neg.f64 x) 1)
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.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 1 (fma.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 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.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 1 (fma.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 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.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 1 (fma.f64 -1 x (*.f64 x x)))
(-.f64 (fma.f64 x x 1) x)
(fma.f64 x (+.f64 -1 x) 1)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 38 to 32 computations (15.8% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite87.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
778×pow1_binary64
723×add-log-exp_binary64
723×log1p-expm1-u_binary64
723×expm1-log1p-u_binary64
709×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
118818
2207818
Stop Event
1×node limit
Counts
2 → 44
Calls
Call 1
Inputs
(pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)
(atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 x 1) (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1/2 x 1) (*.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 x) (fma.f64 -1/2 x 1)) (fma.f64 -1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/2 x 1) (*.f64 -1/2 x)) (fma.f64 -1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (fma.f64 -1/2 x 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 -1/2 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 x 1) (fma.f64 -1/2 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 -1/2 x 1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 4)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) (*.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 x 1) (sqrt.f64 (fma.f64 -1/2 x 1))) (sqrt.f64 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 -1/2 x 1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2)) (cbrt.f64 (fma.f64 -1/2 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1)) (*.f64 (fma.f64 -1/2 x -1) (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3))) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1) (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3))) (*.f64 (fma.f64 -1/2 x -1) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3)) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1)) (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))) (fma.f64 -1/2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3)) (fma.f64 -1/2 x 1)) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1) (fma.f64 -1/2 x 1)) (fma.f64 -1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/2 x 1) (+.f64 1 (pow.f64 (*.f64 -1/2 x) 3))) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) (-.f64 1 (*.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/2 x 1) (+.f64 (pow.f64 (*.f64 -1/2 x) 2) -1)) (fma.f64 -1/2 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 -1/2 x 1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log1p.f64 (*.f64 -1/2 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) 2) (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (atan.f64 (pow.f64 (fma.f64 -1/2 x 1) 2))))))))

simplify65.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
672×fma-def_binary64
561×fma-neg_binary64
409×unswap-sqr_binary64
375×unsub-neg_binary64
291×distribute-rgt-in_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
022263
149237
288225
3234209
4880209
53334203
66455203
Stop Event
1×node limit
Counts
68 → 56
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/4 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/4)) x)
(-.f64 (*.f64 1/4 (*.f64 x x)) x)
(*.f64 x (fma.f64 x 1/4 -1))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(*.f64 1/4 (pow.f64 x 2))
(*.f64 1/4 (*.f64 x x))
(*.f64 x (*.f64 x 1/4))
(+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x))
(fma.f64 1/4 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x (*.f64 x 1/4)) x)
(-.f64 (*.f64 1/4 (*.f64 x x)) x)
(*.f64 x (fma.f64 x 1/4 -1))
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 1 (fma.f64 1/4 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (-.f64 (*.f64 x (*.f64 x 1/4)) x))
(-.f64 (fma.f64 1/4 (*.f64 x x) 1) x)
(fma.f64 x (fma.f64 x 1/4 -1) 1)
(pow.f64 (fma.f64 x -1/2 1) 2)
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (-.f64 1 (*.f64 1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 -1/2 x)) 2))
(atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2))
(atan.f64 (pow.f64 (fma.f64 x -1/2 1) 2))

eval142.0ms (2.3%)

Compiler

Compiled 4416 to 3672 computations (16.8% saved)

prune38.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New2832285
Fresh000
Picked011
Done2911
Total28512297
Error
0b
Counts
297 → 12
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))))))
0.9b
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1)))
✓0.9b
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
✓0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
✓0.0b
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))
✓0.8b
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
✓0.9b
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
0.9b
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
✓0.8b
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
✓0.0b
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
✓1.8b
(*.f64 2 (atan.f64 1))
✓0.8b
(*.f64 2 (atan.f64 (-.f64 1 x)))
Compiler

Compiled 126 to 109 computations (13.5% saved)

regimes108.0ms (1.8%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (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))))))
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -3/2))))
(*.f64 2 (atan.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3/2))))
(*.f64 2 (atan.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 1/4) 2)))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
Calls

9 calls:

9.0ms
x
5.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b1(*.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 254 to 210 computations (17.3% saved)

regimes32.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)) -1/2)))
Outputs
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
Calls

9 calls:

7.0ms
x
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
3.0ms
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
3.0ms
(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 201 to 165 computations (17.9% saved)

regimes14.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 2 (atan.f64 1))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 (-.f64 (-.f64 2 x) 1)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (+.f64 (*.f64 x x) (-.f64 1 x))))
(*.f64 2 (-.f64 (+.f64 1 (atan.f64 (-.f64 1 x))) 1))
(*.f64 2 (atan.f64 (-.f64 (+.f64 1 (/.f64 1 (+.f64 1 x))) 1)))
(*.f64 2 (atan.f64 (-.f64 (fma.f64 x x 1) x)))
(*.f64 2 (atan.f64 (cbrt.f64 (+.f64 (*.f64 -3 x) 1))))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
Outputs
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 89 to 75 computations (15.7% saved)

regimes8.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 79 to 66 computations (16.5% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.0b remaining (-113.8%)

Threshold costs -1.0b (-113.8%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
0.8b1x
Compiler

Compiled 21 to 18 computations (14.3% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03079
14579
24879
35079
45179
Stop Event
1×fuel
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 x -1)))))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Outputs
(*.f64 2 (atan.f64 (/.f64 1 (sqrt.f64 (/.f64 (+.f64 1 x) (-.f64 1 x))))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (-.f64 x -1)))))
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 (*.f64 -1/2 x) 1) 2)))
(*.f64 2 (atan.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 2)))
(*.f64 2 (atan.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 2 (atan.f64 (-.f64 1 x)))
(*.f64 2 (atan.f64 1))
Compiler

Compiled 58 to 51 computations (12.1% saved)

soundness121.0ms (2%)

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)

end71.0ms (1.2%)

Compiler

Compiled 53 to 46 computations (13.2% saved)

Profiling

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