Details

Time bar (total: 9.7s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%50%0%0%0%50%0%2
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.7s (17.8%)

Results
859.0ms2394×body1024valid
626.0ms4831×body256valid
218.0ms1031×body512valid
Bogosity

preprocess26.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817117
920717
1023317
1123517
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11417
22017
32817
43817
55617
69317
712717
817117
920717
1023317
1123517
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

eval1.0ms (0%)

Compiler

Compiled 23 to 18 computations (21.7% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
20.5b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶20.5b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓0.3b
(/.f64 1 (sqrt.f64 x))
✓3.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series8.0ms (0.1%)

Counts
3 → 4
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 x))
1.0ms
x
@-inf
(/.f64 1 (sqrt.f64 (+.f64 x 1)))

rewrite91.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
776×prod-diff_binary64
445×log-prod_binary64
351×fma-def_binary64
252×pow2_binary64
205×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0932
120724
2297924
Stop Event
1×node limit
Counts
3 → 190
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (sqrt.f64 x))
(/.f64 1 (sqrt.f64 (+.f64 x 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/6) (cbrt.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/6))))) (#(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 *.f64 -1 (/.f64 -1 (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log1p.f64 x)) 1))))))

simplify88.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
660×distribute-rgt-in_binary64
606×distribute-lft-in_binary64
536×unswap-sqr_binary64
509×associate-*l*_binary64
457×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01941
14839
210637
330531
477828
5241028
6403228
7426028
8456028
9509928
10609628
Stop Event
1×node limit
Counts
194 → 197
Calls
Call 1
Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 3/8 (*.f64 x x)))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) 1))
(fma.f64 x (fma.f64 x 3/8 -1/2) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (*.f64 x 3/8))))
(fma.f64 -1/2 x (fma.f64 -5/16 (pow.f64 x 3) (fma.f64 3/8 (*.f64 x x) 1)))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x (fma.f64 x -5/16 3/8)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x -5/16 3/8) -1/2) 1)

eval101.0ms (1%)

Compiler

Compiled 3817 to 3064 computations (19.7% saved)

prune127.0ms (1.3%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New17027197
Fresh000
Picked101
Done000
Total17127198
Error
19.7b
Counts
198 → 27
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
31.9b
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
▶24.3b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
30.3b
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
25.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2))
31.9b
(-.f64 (*.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶30.6b
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
30.3b
(fma.f64 (pow.f64 (+.f64 1 x) -1/4) (neg.f64 (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 x -1/2))
26.9b
(/.f64 (-.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)) (-.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
24.4b
(-.f64 (pow.f64 (pow.f64 x -1/4) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
30.6b
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
30.5b
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
32.7b
(-.f64 (pow.f64 (pow.f64 x -1/6) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶32.4b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
32.8b
(-.f64 (exp.f64 (*.f64 -1/2 (log.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
45.3b
(-.f64 (pow.f64 (*.f64 x x) -1/4) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶20.3b
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
22.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
▶20.5b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
22.7b
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
22.7b
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
31.9b
(fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
29.5b
(+.f64 (fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/6) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/6)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (pow.f64 (+.f64 1 x) -1/6) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))
25.5b
(-.f64 (pow.f64 (cbrt.f64 x) -3/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
31.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
30.3b
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
30.4b
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))
Compiler

Compiled 892 to 734 computations (17.7% saved)

localize54.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 x) -1/2)
✓3.7b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Compiler

Compiled 36 to 28 computations (22.2% saved)

series9.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
2.0ms
x
@inf
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
2.0ms
x
@0
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
1.0ms
x
@-inf
(pow.f64 (+.f64 1 x) -1/2)
1.0ms
x
@inf
(pow.f64 (+.f64 1 x) -1/2)

rewrite140.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
943×pow1_binary64
884×add-log-exp_binary64
883×log1p-expm1-u_binary64
883×expm1-log1p-u_binary64
93×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
118320
2241220
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (/.f64 1 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)) (-.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2))) (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (pow.f64 x -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 (*.f64 x (+.f64 x 1)) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (pow.f64 x -1) (-.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -1) (*.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/2) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log1p.f64 x)))))))

simplify121.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
738×times-frac_binary64
478×associate-/l*_binary64
416×associate-/r*_binary64
375×unswap-sqr_binary64
362×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
099797
1268765
2687609
31971514
47380469
Stop Event
1×node limit
Counts
76 → 97
Calls
Call 1
Inputs
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
Outputs
(-.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) -1)
(+.f64 -1 (pow.f64 x -1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) -1)
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (*.f64 -3/8 (*.f64 x x))) -1)
(+.f64 (fma.f64 x 1/2 (fma.f64 -3/8 (*.f64 x x) (pow.f64 x -1/2))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 -3/8 (*.f64 x x) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x -3/8)) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 -3/8 (*.f64 x x)))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (-.f64 (fma.f64 -3/8 (*.f64 x x) (*.f64 5/16 (pow.f64 x 3))) 1))
(+.f64 (fma.f64 x (*.f64 x -3/8) (fma.f64 5/16 (pow.f64 x 3) (pow.f64 x -1/2))) (fma.f64 x 1/2 -1))
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 (*.f64 x x) (+.f64 -3/8 (*.f64 x 5/16)) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x 5/16)))) -1))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))))))
(*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(*.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))
(*.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))
(*.f64 (/.f64 1/2 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))
(*.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (/.f64 1/2 x))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))
(fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 1/2 (/.f64 -3/8 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)))))
(fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)))))
(fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 (*.f64 x x) (pow.f64 -1 -1/2))) (+.f64 -3/8 (/.f64 5/16 x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
(+.f64 (*.f64 -35/128 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))) (+.f64 (*.f64 5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (*.f64 -3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))))
(fma.f64 -35/128 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))))
(fma.f64 -35/128 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (fma.f64 5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 -3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 1/2 (/.f64 -3/8 x))) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 (*.f64 x x) (pow.f64 -1 -1/2))) (+.f64 (/.f64 5/16 x) (/.f64 -35/128 (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 1/2 (/.f64 -3/8 x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (pow.f64 x 3)) (+.f64 5/16 (/.f64 -35/128 x))))
(+.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 (*.f64 x x) 3/8))
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 3/8 1))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16)))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (*.f64 x x) 3/8 (*.f64 (pow.f64 x 3) -5/16)))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) (fma.f64 (pow.f64 x 3) -5/16 1)))
(+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16 (sqrt.f64 (/.f64 1 x)))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))
(pow.f64 (exp.f64 -1/2) (log.f64 x))
(pow.f64 x -1/2)
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 (exp.f64 -1/2) (log.f64 x)))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 x -1/2))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (*.f64 (/.f64 3/8 x) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 -1/2 (/.f64 3/8 x))))
(+.f64 (pow.f64 x -1/2) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 -1/2 (/.f64 3/8 x))))
(+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (fma.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) 3/8 (fma.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -5/16) (pow.f64 x 3)))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2) (fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (*.f64 (/.f64 (pow.f64 (/.f64 -1 x) 1/2) (/.f64 (*.f64 x x) (pow.f64 -1 -1/2))) (+.f64 3/8 (/.f64 -5/16 x)))))
(+.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (log.f64 x)) x) (+.f64 -1/2 (+.f64 (/.f64 -5/16 (*.f64 x x)) (/.f64 3/8 x)))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 x -1/2)) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 3/8 (/.f64 -5/16 x))))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
0.3b
(/.f64 1 (sqrt.f64 x))
Compiler

Compiled 15 to 9 computations (40% saved)

series2.0ms (0%)

Counts
1 → 2
Calls

3 calls:

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

rewrite61.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
588×pow1_binary64
551×add-log-exp_binary64
550×log1p-expm1-u_binary64
550×expm1-log1p-u_binary64
538×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069
11297
216237
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) -1) (/.f64 1 (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sqrt.f64 x) -1/2) 1) (-.f64 (pow.f64 (sqrt.f64 x) -1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 (sqrt.f64 x) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) -1) (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) -1) (+.f64 (/.f64 1 x) (-.f64 1 (*.f64 (pow.f64 x -1/2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) -1) (+.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1 x) -1) (-.f64 (pow.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) -1)) (neg.f64 (+.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1 x) -1)) (neg.f64 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x -1/2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) -1)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012
Stop Event
1×saturated
Counts
33 → 32
Calls
Call 1
Inputs
-1
-1
Outputs
-1
-1

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.3b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓3.7b
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
Compiler

Compiled 60 to 46 computations (23.3% saved)

series17.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
10.0ms
x
@0
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms
x
@inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@inf
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
0.0ms
x
@0
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))

rewrite123.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
678×log-prod_binary64
654×fma-def_binary64
347×fma-neg_binary64
268×log-div_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
129646
2466346
Stop Event
1×node limit
Counts
4 → 363
Calls
Call 1
Inputs
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(/.f64 1 (+.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(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 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))))) (#(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 -1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/4) (*.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 (+.f64 1 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(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 (*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))))) (#(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 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) 2) -1/2)))) (#(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) -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 exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))))

simplify90.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
635×fma-def_binary64
625×fma-neg_binary64
446×associate-+l+_binary64
321×associate-+r+_binary64
300×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01891796
15981716
217831560
368031493
Stop Event
1×node limit
Counts
411 → 436
Calls
Call 1
Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 (-.f64 (*.f64 5/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 3/8 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 3/16 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 1/2 (sqrt.f64 x)) (+.f64 (*.f64 3/32 (sqrt.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x)))))) (pow.f64 x 5))) (+.f64 (*.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (*.f64 -1/4 (/.f64 (-.f64 (*.f64 -1/2 (sqrt.f64 x)) (*.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))) (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 5))))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) 1))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.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
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 (/.f64 1 x) -1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(-.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x 1))
(+.f64 (/.f64 1 x) (fma.f64 (-.f64 1 x) x -1))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 -1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
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(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
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(-.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (*.f64 x x)))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (*.f64 x x)) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 5/16 (*.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (+.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (*.f64 x x)))) (+.f64 (/.f64 5/16 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (pow.f64 x 4)))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (*.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (pow.f64 x 4)) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2)))))
(-.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 5/16 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (+.f64 (*.f64 3/8 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))) (*.f64 35/128 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 5))))))
(-.f64 (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 5/16 (*.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (+.f64 (/.f64 3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))))
(+.f64 (/.f64 (/.f64 1/2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 x x)) (-.f64 (+.f64 (/.f64 (/.f64 5/16 (pow.f64 x 4)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (/.f64 35/128 (*.f64 (pow.f64 x 5) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (/.f64 1/2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (*.f64 x x)))) (+.f64 (+.f64 (/.f64 5/16 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (*.f64 (pow.f64 -1 -1/2) (pow.f64 x 4)))) (/.f64 -3/8 (*.f64 (pow.f64 x 3) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))) (/.f64 -35/128 (*.f64 (*.f64 (pow.f64 x 5) (pow.f64 (/.f64 -1 x) 1/2)) (pow.f64 -1 -1/2)))))
(fma.f64 1/2 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (*.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (pow.f64 x 4)) (fma.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (pow.f64 x 5)) -35/128 (/.f64 -3/8 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2))))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) 1))
(fma.f64 -1/2 x (+.f64 1 (pow.f64 x -1/2)))
(fma.f64 x -1/2 (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 3/8 (pow.f64 x 2)))))
(fma.f64 -1/2 x (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 (*.f64 x x) 3/8))))
(+.f64 (fma.f64 (*.f64 x x) 3/8 1) (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1)))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))))
(fma.f64 -1/2 x (+.f64 (pow.f64 x -1/2) (+.f64 1 (fma.f64 3/8 (*.f64 x x) (*.f64 (pow.f64 x 3) -5/16)))))
(+.f64 (+.f64 (fma.f64 (*.f64 x x) 3/8 1) (*.f64 (pow.f64 x 3) -5/16)) (fma.f64 x -1/2 (pow.f64 x -1/2)))
(+.f64 (fma.f64 x (*.f64 x 3/8) (fma.f64 (pow.f64 x 3) -5/16 1)) (fma.f64 x -1/2 (pow.f64 x -1/2)))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 2 (sqrt.f64 (/.f64 1 x)) (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16 (*.f64 2 (sqrt.f64 (/.f64 1 x))))))
(*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(*.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(*.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)))
(*.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2))
(+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))
(fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 -1/2 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2))))
(fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2)))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x))))
(fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x))))
(fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) x) (+.f64 -1/2 (/.f64 3/8 x))))
(+.f64 (*.f64 3/8 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (*.f64 -5/16 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (/.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x)))))
(fma.f64 3/8 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (fma.f64 -5/16 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)))))
(fma.f64 -5/16 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (pow.f64 x 3)) (fma.f64 2 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/2) (pow.f64 -1 -1/2)) x) (+.f64 -1/2 (/.f64 3/8 x)))))
(fma.f64 -5/16 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (pow.f64 x 3)) (fma.f64 2 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) -1/2) x) (+.f64 -1/2 (/.f64 3/8 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))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.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 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.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 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4))))

localize60.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (+.f64 1 x) -1/4)
✓0.3b
(pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2)
0.3b
(/.f64 1 (sqrt.f64 x))
✓17.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
Compiler

Compiled 38 to 28 computations (26.3% saved)

series6.0ms (0.1%)

Counts
3 → 26
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
1.0ms
x
@inf
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
1.0ms
x
@-inf
(pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2)
1.0ms
x
@0
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
1.0ms
x
@inf
(pow.f64 (+.f64 1 x) -1/4)

rewrite92.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
620×prod-diff_binary64
465×log-prod_binary64
317×fma-def_binary64
285×pow2_binary64
195×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
125227
2312727
Stop Event
1×node limit
Counts
3 → 182
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
(pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2)
(pow.f64 (+.f64 1 x) -1/4)
Outputs
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simplify61.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
649×associate-/r*_binary64
525×associate-*l/_binary64
420×fma-def_binary64
365×*-commutative_binary64
326×associate-*r/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0118883
1315801
2863681
33028495
Stop Event
1×node limit
Counts
208 → 229
Calls
Call 1
Inputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (*.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -15/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 15/64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))))
1
(+.f64 1 (*.f64 -1/4 x))
(+.f64 1 (+.f64 (*.f64 -1/4 x) (*.f64 5/32 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -15/128 (pow.f64 x 3)) (*.f64 5/32 (pow.f64 x 2)))))
(pow.f64 (/.f64 1 x) 1/4)
(+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4))
(+.f64 (*.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4)))
(+.f64 (*.f64 -15/128 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (+.f64 (*.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4))))
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 5/32 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 5/32 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -15/128 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))))))
Outputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(*.f64 -1 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(neg.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(neg.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(neg.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2))
(neg.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (*.f64 -1/2 x) (+.f64 1 (*.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (*.f64 3/8 (*.f64 x x)))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) 1))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) 1))
(+.f64 (*.f64 -1/2 x) (+.f64 1 (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 x (*.f64 x 3/8) (fma.f64 -5/16 (pow.f64 x 3) 1)))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 5/16)) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (sqrt.f64 (/.f64 1 x))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 5/16 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8))
(+.f64 (*.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 -15/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (*.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(fma.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -15/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(fma.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 5/16)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -15/64 (sqrt.f64 (/.f64 1 x))))))
(fma.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -15/64 (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 5/16 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 3/8)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) -5/16))
(pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2)
(pow.f64 (exp.f64 (log.f64 x)) -1/2)
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2) x) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2))
(*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 (exp.f64 (log.f64 x)) -1/2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 5/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) 3/8)))
(fma.f64 -1/2 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2) x) (fma.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2) (*.f64 x x)) 3/8 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2)))
(fma.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) (*.f64 x x)) 3/8 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 (exp.f64 (log.f64 x)) -1/2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 5/64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (*.f64 15/64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (pow.f64 x 3))) (+.f64 (*.f64 5/16 (/.f64 (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) x) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (fma.f64 -1 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) 5/16) (pow.f64 x 3)) (fma.f64 5/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2) (*.f64 x x)) (pow.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)))))
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) x) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (*.f64 x x)) 3/8))) (/.f64 (*.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) 5/16) (pow.f64 x 3)))
(+.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2) x) (+.f64 -1/2 (/.f64 1/16 x))) (*.f64 (+.f64 (/.f64 -1 x) 1) (*.f64 (/.f64 5/16 (*.f64 x x)) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) 2)))))
(+.f64 (*.f64 (+.f64 (/.f64 -1/2 x) 1) (pow.f64 (exp.f64 (log.f64 x)) -1/2)) (*.f64 (/.f64 (pow.f64 (exp.f64 (log.f64 x)) -1/2) (*.f64 x x)) (+.f64 (/.f64 -5/16 x) 3/8)))
1
(+.f64 1 (*.f64 -1/4 x))
(+.f64 1 (*.f64 x -1/4))
(fma.f64 x -1/4 1)
(+.f64 1 (+.f64 (*.f64 -1/4 x) (*.f64 5/32 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1/4 x (*.f64 (*.f64 x x) 5/32)))
(+.f64 1 (fma.f64 x -1/4 (*.f64 (*.f64 x x) 5/32)))
(fma.f64 x -1/4 (fma.f64 (*.f64 x x) 5/32 1))
(fma.f64 x (*.f64 x 5/32) (fma.f64 x -1/4 1))
(+.f64 1 (+.f64 (*.f64 -1/4 x) (+.f64 (*.f64 -15/128 (pow.f64 x 3)) (*.f64 5/32 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 -1/4 x (fma.f64 -15/128 (pow.f64 x 3) (*.f64 (*.f64 x x) 5/32))))
(+.f64 1 (fma.f64 x -1/4 (fma.f64 (*.f64 x x) 5/32 (*.f64 (pow.f64 x 3) -15/128))))
(+.f64 1 (fma.f64 x -1/4 (*.f64 (*.f64 x x) (+.f64 5/32 (*.f64 x -15/128)))))
(+.f64 1 (*.f64 x (+.f64 -1/4 (*.f64 x (+.f64 (*.f64 x -15/128) 5/32)))))
(pow.f64 (/.f64 1 x) 1/4)
(+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4))
(fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (pow.f64 (/.f64 1 x) 1/4))
(+.f64 (*.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4)))
(fma.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (pow.f64 (/.f64 1 x) 1/4)))
(fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (fma.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (pow.f64 (/.f64 1 x) 1/4)))
(+.f64 (*.f64 -15/128 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (+.f64 (*.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4)) (+.f64 (*.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4)) (pow.f64 (/.f64 1 x) 1/4))))
(fma.f64 -15/128 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (pow.f64 (/.f64 1 x) 1/4))))
(fma.f64 -15/128 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (fma.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (pow.f64 (/.f64 1 x) 1/4))))
(fma.f64 5/32 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (fma.f64 -15/128 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 -1/4 (pow.f64 (/.f64 1 (pow.f64 x 5)) 1/4) (pow.f64 (/.f64 1 x) 1/4))))
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4))
(pow.f64 (exp.f64 -1/4) (log.f64 x))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))
(fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4) (*.f64 (/.f64 -1/4 x) (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4))))
(*.f64 (+.f64 (/.f64 -1/4 x) 1) (pow.f64 (exp.f64 -1/4) (log.f64 x)))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (*.f64 5/32 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (*.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x))))
(fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) x) (+.f64 -1/4 (/.f64 5/32 x))))
(+.f64 (pow.f64 (exp.f64 -1/4) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (log.f64 x)) (+.f64 -1/4 (/.f64 5/32 x))) x))
(+.f64 (*.f64 -1/4 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (+.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 5/32 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (*.f64 -15/128 (/.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) x) (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) (fma.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 x x)) (*.f64 -15/128 (/.f64 (pow.f64 (exp.f64 -1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (fma.f64 5/32 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (*.f64 x x)) (*.f64 -15/128 (/.f64 (pow.f64 (exp.f64 -1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)))))
(fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) x) (fma.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4) (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 x) 1/4) (pow.f64 -1 -1/4)) (*.f64 x x)) (+.f64 5/32 (/.f64 -15/128 x)))))
(+.f64 (pow.f64 (exp.f64 -1/4) (log.f64 x)) (*.f64 (/.f64 (pow.f64 (exp.f64 -1/4) (log.f64 x)) x) (+.f64 -1/4 (+.f64 (/.f64 5/32 x) (/.f64 -15/128 (*.f64 x x))))))

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x -1/4)
✓0.1b
(/.f64 -1 (sqrt.f64 (+.f64 1 x)))
✓30.4b
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
Compiler

Compiled 34 to 26 computations (23.5% saved)

series80.0ms (0.8%)

Counts
3 → 22
Calls

9 calls:

TimeVariablePointExpression
45.0ms
x
@0
(pow.f64 x -1/4)
24.0ms
x
@-inf
(pow.f64 x -1/4)
7.0ms
x
@inf
(pow.f64 x -1/4)
1.0ms
x
@inf
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
1.0ms
x
@0
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))

rewrite82.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
121028
2245528
Stop Event
1×node limit
Counts
3 → 60
Calls
Call 1
Inputs
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 -1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 x -1/4)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x -1/2) 1) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) 2) (cbrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) (sqrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (+.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)) (-.f64 (/.f64 1 (+.f64 x 1)) (*.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x -1/2) (pow.f64 x -1/2)) (/.f64 1 (+.f64 x 1))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (pow.f64 x -1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 x 1)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (+.f64 x 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/4)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/8) (pow.f64 x -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/4) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/4) (pow.f64 (cbrt.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/4) (pow.f64 (sqrt.f64 x) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/4 (log.f64 x)))))))

simplify60.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
841×times-frac_binary64
410×fma-def_binary64
377×div-sub_binary64
325×unswap-sqr_binary64
320×fma-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
042210
1119204
2275202
3764190
42187152
55195140
Stop Event
1×node limit
Counts
82 → 81
Calls
Call 1
Inputs
(-.f64 (sqrt.f64 (/.f64 1 x)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(sqrt.f64 (/.f64 1 x))
(pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
-1
(-.f64 (*.f64 1/2 x) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 (/.f64 1 x) 1/4)
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
Outputs
(-.f64 (sqrt.f64 (/.f64 1 x)) 1)
(+.f64 (sqrt.f64 (/.f64 1 x)) -1)
(+.f64 (pow.f64 x -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(+.f64 (fma.f64 1/2 x (sqrt.f64 (/.f64 1 x))) -1)
(+.f64 (fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x))) -1)
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 x 1/2 -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (sqrt.f64 (/.f64 1 x))) (*.f64 -3/8 (*.f64 x x))) -1)
(+.f64 (fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x))) (fma.f64 -3/8 (*.f64 x x) -1))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 x (*.f64 x -3/8) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 x (fma.f64 x -3/8 1/2) -1))
(fma.f64 x (fma.f64 x -3/8 1/2) (+.f64 (pow.f64 x -1/2) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (fma.f64 1/2 x (fma.f64 5/16 (pow.f64 x 3) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -3/8 (*.f64 x x))))) -1)
(+.f64 (fma.f64 5/16 (pow.f64 x 3) (fma.f64 -3/8 (*.f64 x x) (sqrt.f64 (/.f64 1 x)))) (fma.f64 x 1/2 -1))
(+.f64 (fma.f64 x (*.f64 x -3/8) (fma.f64 x 1/2 (sqrt.f64 (/.f64 1 x)))) (fma.f64 5/16 (pow.f64 x 3) -1))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 (*.f64 x x) (fma.f64 x 5/16 -3/8) (fma.f64 x 1/2 -1)))
(+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 5/16 -3/8))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 5/16 -3/8))) -1))
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
(pow.f64 (exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)
(sqrt.f64 (/.f64 1 x))
(pow.f64 x -1/2)
-1
(-.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x -1)
(fma.f64 x 1/2 -1)
(-.f64 (+.f64 (*.f64 1/2 x) (*.f64 -3/8 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 1/2 x (*.f64 -3/8 (*.f64 x x))) -1)
(fma.f64 x 1/2 (fma.f64 -3/8 (*.f64 x x) -1))
(fma.f64 x (*.f64 x -3/8) (fma.f64 x 1/2 -1))
(fma.f64 x (fma.f64 x -3/8 1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 1/2 x (fma.f64 5/16 (pow.f64 x 3) (*.f64 -3/8 (*.f64 x x)))) -1)
(+.f64 -1 (fma.f64 x 1/2 (fma.f64 -3/8 (*.f64 x x) (*.f64 5/16 (pow.f64 x 3)))))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x -3/8) (fma.f64 5/16 (pow.f64 x 3) -1)))
(fma.f64 (*.f64 x x) (fma.f64 x 5/16 -3/8) (fma.f64 x 1/2 -1))
(fma.f64 x (+.f64 1/2 (*.f64 x (fma.f64 x 5/16 -3/8))) -1)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)
(exp.f64 (*.f64 -1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))
(pow.f64 (/.f64 1 x) 1/4)
(pow.f64 x -1/4)

eval887.0ms (9.2%)

Compiler

Compiled 24102 to 19534 computations (19% saved)

prune370.0ms (3.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New94517962
Fresh21122
Picked101
Done224
Total96920989
Error
0.0b
Counts
989 → 20
Alt Table
Click to see full alt table
StatusErrorProgram
31.2b
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
▶36.5b
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
30.8b
(/.f64 1 (+.f64 x (sqrt.f64 x)))
31.8b
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
31.7b
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
62.8b
-1
37.4b
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
32.0b
(+.f64 0 (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
✓32.4b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
36.5b
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
32.2b
(sqrt.f64 (/.f64 1 x))
32.2b
(-.f64 (pow.f64 x -1/2) 1)
▶5.6b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
31.8b
(+.f64 0 (+.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x)))))))
▶20.3b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶30.7b
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
31.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
40.9b
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓20.5b
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶32.1b
(pow.f64 x -1/2)
Compiler

Compiled 487 to 382 computations (21.6% saved)

localize91.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 x) -1/2)
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.1b
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
✓5.6b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
Compiler

Compiled 71 to 44 computations (38% saved)

series118.0ms (1.2%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
106.0ms
x
@inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
6.0ms
x
@-inf
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
3.0ms
x
@0
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms
x
@-inf
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
1.0ms
x
@0
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))

rewrite173.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
934×prod-diff_binary64
458×fma-def_binary64
246×log-div_binary64
225×expm1-udef_binary64
225×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
133135
2427935
Stop Event
1×node limit
Counts
2 → 77
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x))
Outputs
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((#(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 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))) 2) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 1 (cbrt.f64 x)) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.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) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 x) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 x) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))) 1))))))

simplify132.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
902×times-frac_binary64
741×fma-def_binary64
477×distribute-rgt-in_binary64
468×distribute-lft-in_binary64
466×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691811
15601650
220941241
Stop Event
1×node limit
Counts
101 → 115
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -5/16 (sqrt.f64 (/.f64 1 x)))) x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(-.f64 (/.f64 1 (+.f64 x (sqrt.f64 x))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) x (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))))))
(-.f64 (fma.f64 x (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (/.f64 1 (+.f64 x (sqrt.f64 x))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(fma.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) x (+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (*.f64 -1 (+.f64 (*.f64 (fma.f64 1/8 (/.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 1/16 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (-.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))))) (*.f64 x x)) (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))))
(fma.f64 x (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (fma.f64 -1 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (fma.f64 1/8 (/.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1/16 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 x x) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))) (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))))
(-.f64 (fma.f64 x (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 x (sqrt.f64 x)))) (fma.f64 x (*.f64 x (fma.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 (*.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -1/2) 1/2) (fma.f64 1/8 (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 (+.f64 1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 (/.f64 1/16 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2)))))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 x x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (*.f64 x x) 3/2))))
(fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 x (/.f64 3/2 x)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(fma.f64 -1 (/.f64 (fma.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4)) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 x x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (*.f64 x x) 3/2)))) (/.f64 (fma.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (*.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (pow.f64 x 4)))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 x (/.f64 3/2 x))))) (/.f64 (fma.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 1 x) 9/4) (pow.f64 x 3/2)))) (pow.f64 x 4)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -5/16 (sqrt.f64 (/.f64 1 x)))) x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (fma.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (sqrt.f64 x))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (pow.f64 x 3)) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8))) (*.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) 1/16))))) (pow.f64 x 5)) (fma.f64 -1 (/.f64 (fma.f64 1/4 (*.f64 x (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4)) (fma.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 x x)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 (-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (*.f64 x x) 3/2)))) (/.f64 (fma.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (*.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (pow.f64 x 4))) (/.f64 (fma.f64 -1/2 (*.f64 (fma.f64 -1/8 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (*.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x)))) (fma.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)))) (sqrt.f64 (pow.f64 x 3)) (*.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/16))))) (pow.f64 x 5)))
(-.f64 (-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 x (/.f64 3/2 x))))) (/.f64 (fma.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 1 x) 9/4) (pow.f64 x 3/2)))) (pow.f64 x 4))) (/.f64 (fma.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) 1/16)) (fma.f64 (fma.f64 x (*.f64 1/4 (*.f64 (sqrt.f64 (/.f64 1 x)) -1/8)) (*.f64 -1/8 (*.f64 (*.f64 (/.f64 1 x) 9/4) (pow.f64 x 3/2)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 3/2 (sqrt.f64 x))) -1/2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (*.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/8 (pow.f64 x 3/2))) -1/8)))) (pow.f64 x 5)))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
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(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))

localize14.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize103.0ms (1.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
Compiler

Compiled 27 to 20 computations (25.9% saved)

series3.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite76.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115410
2180510
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x -1/2) (/.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 (pow.f64 x -1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) 1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -1/2) 1/2) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -1/2) 1/2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 x -1/2) 1/2) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 x -1/2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x -1/2) -1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 1/2 x)) (pow.f64 x -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/2 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (/.f64 1/2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 x) 3) (pow.f64 (pow.f64 x -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))))))))

simplify42.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
22 → 22
Calls
Call 1
Inputs
Outputs

localize46.0ms (0.5%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2)
✓0.2b
(/.f64 -1 (/.f64 -1 x))
✓10.1b
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
Compiler

Compiled 40 to 27 computations (32.5% saved)

series8.0ms (0.1%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
1.0ms
x
@-inf
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
1.0ms
x
@0
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
1.0ms
x
@-inf
(pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2)
1.0ms
x
@0
(pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2)

rewrite120.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
970×pow1_binary64
907×add-log-exp_binary64
907×log1p-expm1-u_binary64
907×expm1-log1p-u_binary64
100×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
123311
2277911
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(/.f64 -1 (/.f64 -1 x))
(pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -3/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 x -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (/.f64 (sqrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) (cbrt.f64 (/.f64 x (*.f64 (pow.f64 x 4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 (pow.f64 x 4) 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (/.f64 1 (*.f64 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 x x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (/.f64 1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) (/.f64 (cbrt.f64 (sqrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (*.f64 x x)) (/.f64 (pow.f64 x 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) 1) (/.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) 1) (/.f64 (pow.f64 x 1/4) (*.f64 (*.f64 x x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x 1/4) (cbrt.f64 (*.f64 (pow.f64 x 4) 4))) (/.f64 (pow.f64 x 1/4) (cbrt.f64 (*.f64 (*.f64 x x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x (sqrt.f64 2))) (/.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 x) (*.f64 x (sqrt.f64 2))) (/.f64 (cbrt.f64 (sqrt.f64 x)) (*.f64 x (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) x) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 1/2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (*.f64 x (neg.f64 x))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 x -3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 1/2 (pow.f64 x -3/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 x) (*.f64 (*.f64 x x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 x (*.f64 (pow.f64 x 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x -3/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/2 (pow.f64 x -3/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3/2) (pow.f64 (*.f64 (*.f64 x x) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -3/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (pow.f64 x 1/4)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (neg.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (cbrt.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 x)))))))

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
101 → 90
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize65.0ms (0.7%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(pow.f64 (+.f64 1 x) -1/2)
3.7b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
Compiler

Compiled 24 to 18 computations (25% saved)

eval561.0ms (5.8%)

Compiler

Compiled 10771 to 8308 computations (22.9% saved)

prune200.0ms (2.1%)

Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New42710437
Fresh9413
Picked011
Done426
Total44017457
Error
0b
Counts
457 → 17
Alt Table
Click to see full alt table
StatusErrorProgram
62.8b
-1
▶32.0b
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
31.8b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
▶31.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
31.2b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
▶5.7b
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
6.2b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (exp.f64 (*.f64 -1/2 (log1p.f64 x)))))
36.5b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
✓32.1b
(pow.f64 x -1/2)
▶32.2b
(sqrt.f64 (/.f64 1 x))
32.2b
(-.f64 (pow.f64 x -1/2) 1)
30.6b
(*.f64 (pow.f64 x -3/2) 1/2)
✓20.3b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
31.6b
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
▶30.7b
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
✓32.4b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
21.2b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
Compiler

Compiled 373 to 285 computations (23.6% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
0.0b
(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
✓0.1b
(*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
✓5.6b
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
Compiler

Compiled 60 to 46 computations (23.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite85.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
680×log-prod_binary64
422×fma-def_binary64
261×log-div_binary64
243×fma-neg_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01235
128635
2424835
Stop Event
1×node limit
Counts
2 → 111
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))
Outputs
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egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 x)) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 1 (+.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) 1) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 (+.f64 1 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 1 x)) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 1 x)) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 x) -1) (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 x (+.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 1 x)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))) (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (+.f64 1 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))) (/.f64 (pow.f64 x -2) x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x))))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -1 x -1) (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (neg.f64 x) (fma.f64 -1 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 x (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (/.f64 1 (+.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) (/.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (+.f64 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x)))) (/.f64 (pow.f64 x -2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (exp.f64 (*.f64 3 (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) 1))))))

simplify103.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
902×times-frac_binary64
741×fma-def_binary64
477×distribute-rgt-in_binary64
468×distribute-lft-in_binary64
466×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691811
15601650
220941241
Stop Event
1×node limit
Counts
135 → 149
Calls
Call 1
Inputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) x) (+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (*.f64 1/16 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 (*.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 -1 (/.f64 (*.f64 (+.f64 1/2 (pow.f64 x -1/2)) (+.f64 (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 1 (pow.f64 x -1/2))))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (pow.f64 x 2))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (*.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))))) (sqrt.f64 (pow.f64 x 3)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -5/16 (sqrt.f64 (/.f64 1 x)))) x)))) (pow.f64 x 5))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 3/8 (sqrt.f64 (/.f64 1 x))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 x)))) x)) (*.f64 -1/8 (*.f64 (pow.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) 2) (sqrt.f64 (pow.f64 x 3))))) (pow.f64 x 4))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(/.f64 1/2 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
Outputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(+.f64 (/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
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(fma.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) 2) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))) (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))))
(fma.f64 1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (/.f64 1/8 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3))) (fma.f64 -1/4 (/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))))
(+.f64 (+.f64 (/.f64 (/.f64 -3/8 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 3)) (/.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))) (+.f64 (/.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)) (/.f64 (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4))))
(+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 4)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3) (pow.f64 x 4)))) (+.f64 (*.f64 -1/4 (/.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (*.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 1/4 (/.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))) (*.f64 1/8 (/.f64 (pow.f64 (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) 2) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3)))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (+.f64 (*.f64 2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -1/2 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 3))) (*.f64 1/4 (/.f64 (+.f64 (*.f64 3/8 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (*.f64 -5/16 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))) (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))))) (pow.f64 x 5)))))))
(fma.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (fma.f64 1/8 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) 2) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3))) (+.f64 (fma.f64 -1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) (*.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (/.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))) (neg.f64 (/.f64 (fma.f64 1/2 (/.f64 (fma.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2)) (*.f64 1/8 (/.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2) 2) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3)))) (/.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/8) (/.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3) (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 3/2))) (*.f64 1/4 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 1/16) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))))) (pow.f64 x 5))))))
(fma.f64 1/4 (*.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 4)) (/.f64 1/8 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (*.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3))) (-.f64 (fma.f64 -1/4 (/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2) (pow.f64 x 3)) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (/.f64 (/.f64 1/2 (*.f64 x x)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (fma.f64 1/2 (*.f64 (/.f64 (fma.f64 1/8 (/.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) 9/4) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)) (/.f64 (*.f64 (*.f64 1/4 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 1/8) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2)) (fma.f64 1/8 (*.f64 (/.f64 (*.f64 1/8 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3)) (*.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 3/2)) (/.f64 (*.f64 (*.f64 1/4 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 1/16) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)))) (pow.f64 x 5)))))
(-.f64 (+.f64 (+.f64 (/.f64 (/.f64 -3/8 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 3)) (/.f64 (/.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))) (+.f64 (/.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)) (/.f64 (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (/.f64 9/32 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2)))) 4/3) (+.f64 (/.f64 3/128 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))) (/.f64 1/64 (*.f64 (pow.f64 -1 -1/2) (pow.f64 (/.f64 -1 x) 1/2))))) (pow.f64 x 5)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(+.f64 -1 (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(+.f64 (/.f64 1 x) (-.f64 x 1))
(+.f64 x (+.f64 -1 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (+.f64 x (/.f64 1 x))) -1)
(+.f64 -1 (-.f64 (+.f64 x (/.f64 1 x)) (*.f64 x x)))
(+.f64 -1 (+.f64 x (-.f64 (/.f64 1 x) (*.f64 x x))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 5)))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (/.f64 1 x))
Compiler

Compiled 10 to 7 computations (30% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite66.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
399×pow1_binary64
386×add-sqr-sqrt_binary64
376×*-un-lft-identity_binary64
371×add-log-exp_binary64
371×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056
1994
211014
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (pow.f64 1 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (pow.f64 (/.f64 1 (neg.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (*.f64 (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))) (pow.f64 (*.f64 (sqrt.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 -1/2) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -1/2) (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1/2) (pow.f64 (cbrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 3) 1/2) (sqrt.f64 (sqrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 x))) 1/2) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 1 x) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (pow.f64 x -1/2))) 1/3) (sqrt.f64 (cbrt.f64 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x -1/2))) 2) 3) (cbrt.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (sqrt.f64 (cbrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -1/2 (log.f64 x)))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
46 → 46
Calls
Call 1
Inputs
Outputs

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
0.3b
(/.f64 1 (sqrt.f64 x))
Compiler

Compiled 28 to 19 computations (32.1% saved)

series1.0ms (0%)

Counts
1 → 4
Calls

3 calls:

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

rewrite81.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
437×fma-def_binary64
427×log-prod_binary64
318×exp-prod_binary64
282×pow-prod-down_binary64
248×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0913
120411
2283211
Stop Event
1×node limit
Counts
1 → 110
Calls
Call 1
Inputs
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 x -1/2 1)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (-.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x)) (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) (neg.f64 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))) (neg.f64 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2)) (*.f64 (sqrt.f64 x) (fma.f64 -1/8 (pow.f64 x 3) 1))) (*.f64 (sqrt.f64 x) (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2))) (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 -1/8 (pow.f64 x 3) 1))) (*.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (fma.f64 1/4 (*.f64 x x) 1) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 x -1/2 -1) (*.f64 (sqrt.f64 x) (fma.f64 1/4 (*.f64 x x) -1))) (*.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (fma.f64 x -1/2 -1)) (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 1/4 (*.f64 x x) -1))) (*.f64 (neg.f64 (sqrt.f64 x)) (fma.f64 x -1/2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) 3) 1) (+.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) 2) (+.f64 1 (*.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (fma.f64 x -1/2 1)) 3)) (+.f64 (/.f64 1 x) (-.f64 (pow.f64 (neg.f64 (fma.f64 x -1/2 1)) 2) (*.f64 (pow.f64 x -1/2) (neg.f64 (fma.f64 x -1/2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) 2) 1) (+.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 x) (pow.f64 (neg.f64 (fma.f64 x -1/2 1)) 2)) (-.f64 (pow.f64 x -1/2) (neg.f64 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x)) (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))) 2)) (cbrt.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))) (sqrt.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))) (exp.f64 (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (pow.f64 x -1/2)) (+.f64 1 (expm1.f64 (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))) (+.f64 1 (expm1.f64 (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))) (exp.f64 (neg.f64 (fma.f64 x -1/2 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x -1/2 1))) (+.f64 1 (expm1.f64 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x -1/2) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (fma.f64 x -1/2 1)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) 1 (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) 1 (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 1 (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 1 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) 1 (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/6) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (pow.f64 x -1/6) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -1/2 1)) (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (fma.f64 x -1/2 1) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x))) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (fma.f64 x -1/2 1) 3)) (/.f64 1 (fma.f64 (fma.f64 x -1/2 1) (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1)) (/.f64 1 x))) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 x) (pow.f64 (fma.f64 x -1/2 1) 2)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (fma.f64 x -1/2 1))) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x -1/2 1))) 2) (cbrt.f64 (neg.f64 (fma.f64 x -1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (neg.f64 (fma.f64 x -1/2 1))) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -1/2 1))) (sqrt.f64 (fma.f64 x -1/2 1)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (neg.f64 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (*.f64 (neg.f64 (fma.f64 x -1/2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (-.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (fma.f64 x -1/2 1)) 1 (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (-.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -1/2 1))) (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (-.f64 (pow.f64 x -1/4) (sqrt.f64 (fma.f64 x -1/2 1))) (+.f64 (neg.f64 (fma.f64 x -1/2 1)) (fma.f64 x -1/2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x -1/4) (sqrt.f64 (*.f64 x -1/2))) (-.f64 (pow.f64 x -1/4) (sqrt.f64 (*.f64 x -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 1)) 2)) (cbrt.f64 (fma.f64 x -1/2 1)) (pow.f64 x -1/2))))))

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×fma-neg_binary64
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11318
21518
Stop Event
1×saturated
Counts
114 → 113
Calls
Call 1
Inputs
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
Outputs
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x -1)
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x -1)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
✓0.0b
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
✓0.0b
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))
✓0.1b
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
Compiler

Compiled 74 to 56 computations (24.3% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
1.0ms
x
@inf
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))
1.0ms
x
@inf
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
1.0ms
x
@0
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
0.0ms
x
@-inf
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))

rewrite128.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
809×fma-def_binary64
756×log-prod_binary64
359×fma-neg_binary64
289×log1p-udef_binary64
288×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01464
133648
2487048
Stop Event
1×node limit
Counts
4 → 295
Calls
Call 1
Inputs
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
Outputs
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(fma.f64 x -5/16 3/8) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3/8 (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (fma.f64 x -5/16 3/8) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -5/16 3/8) x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (fma.f64 x -5/16 3/8)) 1 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (fma.f64 x -5/16 3/8)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x 3/8) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) 3/8) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (fma.f64 x -5/16 3/8)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -5/16 3/8)) 2) (*.f64 (cbrt.f64 (fma.f64 x -5/16 3/8)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) 2) (cbrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 3/8) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -5/16 3/8)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x -5/16 3/8)) (*.f64 (sqrt.f64 (fma.f64 x -5/16 3/8)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) (sqrt.f64 (*.f64 x (fma.f64 x -5/16 3/8))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 x 3/8)) (cbrt.f64 (*.f64 x 3/8))) (cbrt.f64 (*.f64 x 3/8)) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 3/8)) (sqrt.f64 (*.f64 x 3/8)) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 3/8 (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x (*.f64 x -5/16) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -5/16 3/8)) 2)) (cbrt.f64 (fma.f64 x -5/16 3/8)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -5/16 3/8))) (sqrt.f64 (fma.f64 x -5/16 3/8)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x -5/16 3/8) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (fma.f64 x -5/16 3/8) (sqrt.f64 x)) (sqrt.f64 x) -1/2)))))

simplify140.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
449×fma-neg_binary64
355×distribute-rgt-neg-in_binary64
303×sub-neg_binary64
256×distribute-lft-neg-in_binary64
251×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056605
1161591
2414543
31243525
42622522
55244522
Stop Event
1×node limit
Counts
343 → 328
Calls
Call 1
Inputs
(*.f64 3/8 x)
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(*.f64 -5/16 (pow.f64 x 2))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(*.f64 -5/16 (pow.f64 x 2))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 5/16 (pow.f64 x 3))
(+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 1 x) 1/2) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 5/16 (pow.f64 x 3))
(+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
-1/2
(-.f64 (*.f64 3/8 x) 1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(*.f64 -5/16 (pow.f64 x 2))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(*.f64 -5/16 (pow.f64 x 2))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
Outputs
(*.f64 3/8 x)
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 -5/16 (pow.f64 x 2)) (*.f64 3/8 x))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(*.f64 -5/16 (pow.f64 x 2))
(*.f64 -5/16 (*.f64 x x))
(*.f64 x (*.f64 x -5/16))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(*.f64 -5/16 (pow.f64 x 2))
(*.f64 -5/16 (*.f64 x x))
(*.f64 x (*.f64 x -5/16))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 3/8 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 3/8 (*.f64 x x)))
(fma.f64 3/8 (*.f64 x x) (*.f64 x -1/2))
(*.f64 x (fma.f64 3/8 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))
(fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
(*.f64 (*.f64 x x) (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x -5/16))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))
(fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
(*.f64 (*.f64 x x) (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x -5/16))))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(-.f64 (pow.f64 x -1/2) 1)
(+.f64 (pow.f64 x -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) -1)
(fma.f64 x 1/2 (+.f64 (pow.f64 x -1/2) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x 1/2 -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (*.f64 -3/8 (pow.f64 x 2)))) 1)
(+.f64 (fma.f64 1/2 x (+.f64 (pow.f64 x -1/2) (*.f64 (*.f64 x x) -3/8))) -1)
(+.f64 (fma.f64 x 1/2 (fma.f64 (*.f64 x x) -3/8 (pow.f64 x -1/2))) -1)
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 (*.f64 x x) -3/8 -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (-.f64 1/2 (*.f64 3/8 x)) -1))
(+.f64 (*.f64 x (fma.f64 3/8 x -1/2)) (+.f64 (pow.f64 x -1/2) -1))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 (*.f64 x x) -3/8))) -1)
(fma.f64 x 1/2 (+.f64 (fma.f64 (pow.f64 x 3) 5/16 (*.f64 (*.f64 x x) -3/8)) (+.f64 (pow.f64 x -1/2) -1)))
(+.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x -3/8) (pow.f64 x -1/2))) (fma.f64 (pow.f64 x 3) 5/16 -1))
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x 5/16))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x 5/16)))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))) -1))
(*.f64 5/16 (pow.f64 x 3))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))
(fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
(*.f64 (*.f64 x x) (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x -5/16))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 1 x) 1/2) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 (*.f64 x x) -3/8))) -1)
(fma.f64 x 1/2 (+.f64 (fma.f64 (pow.f64 x 3) 5/16 (*.f64 (*.f64 x x) -3/8)) (+.f64 (pow.f64 x -1/2) -1)))
(+.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x -3/8) (pow.f64 x -1/2))) (fma.f64 (pow.f64 x 3) 5/16 -1))
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x 5/16))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x 5/16)))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))) -1))
(*.f64 5/16 (pow.f64 x 3))
(*.f64 -5/16 (pow.f64 x 3))
(+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2)))
(fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3)))
(*.f64 x (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))
(*.f64 (*.f64 x x) (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x -5/16))))
(+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) (*.f64 -5/16 (pow.f64 x 3))))
(fma.f64 -5/16 (pow.f64 x 3) (*.f64 x (fma.f64 3/8 x -1/2)))
(*.f64 x (fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2))
(-.f64 (+.f64 (exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (+.f64 (*.f64 1/2 x) (+.f64 (*.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 1/2 x (pow.f64 x -1/2)) (fma.f64 5/16 (pow.f64 x 3) (*.f64 (*.f64 x x) -3/8))) -1)
(fma.f64 x 1/2 (+.f64 (fma.f64 (pow.f64 x 3) 5/16 (*.f64 (*.f64 x x) -3/8)) (+.f64 (pow.f64 x -1/2) -1)))
(+.f64 (fma.f64 x 1/2 (fma.f64 x (*.f64 x -3/8) (pow.f64 x -1/2))) (fma.f64 (pow.f64 x 3) 5/16 -1))
(+.f64 (fma.f64 x 1/2 (pow.f64 x -1/2)) (fma.f64 x (*.f64 x (+.f64 -3/8 (*.f64 x 5/16))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x 5/16)))) -1))
(+.f64 (pow.f64 x -1/2) (fma.f64 x (+.f64 1/2 (*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))) -1))
-1/2
(-.f64 (*.f64 3/8 x) 1/2)
(fma.f64 3/8 x -1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)
(*.f64 -5/16 (pow.f64 x 2))
(*.f64 -5/16 (*.f64 x x))
(*.f64 x (*.f64 x -5/16))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)
(*.f64 -5/16 (pow.f64 x 2))
(*.f64 -5/16 (*.f64 x x))
(*.f64 x (*.f64 x -5/16))
(+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2)))
(fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x)))
(fma.f64 3/8 x (*.f64 x (*.f64 x -5/16)))
(*.f64 x (+.f64 3/8 (*.f64 x -5/16)))
(*.f64 x (+.f64 -3/8 (*.f64 x -5/16)))
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)
(-.f64 (+.f64 (*.f64 3/8 x) (*.f64 -5/16 (pow.f64 x 2))) 1/2)
(+.f64 (fma.f64 3/8 x (*.f64 -5/16 (*.f64 x x))) -1/2)
(fma.f64 3/8 x (fma.f64 -5/16 (*.f64 x x) -1/2))
(fma.f64 3/8 x (fma.f64 x (*.f64 x -5/16) -1/2))
(fma.f64 x (+.f64 3/8 (*.f64 x -5/16)) -1/2)

eval786.0ms (8.1%)

Compiler

Compiled 19829 to 15394 computations (22.4% saved)

prune738.0ms (7.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New8058813
Fresh189
Picked011
Done257
Total80822830
Error
0b
Counts
830 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
61.4b
(*.f64 1/2 x)
5.6b
(/.f64 (/.f64 (/.f64 1 (+.f64 1 x)) x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
62.8b
-1
✓32.0b
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
32.4b
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
✓20.3b
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
31.8b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
✓31.8b
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
✓32.4b
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
62.5b
(-.f64 (*.f64 1/2 x) 1)
32.3b
(/.f64 1 (sqrt.f64 x))
1.0b
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)) -1)
21.2b
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
36.5b
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
✓32.1b
(pow.f64 x -1/2)
✓32.2b
(sqrt.f64 (/.f64 1 x))
32.2b
(-.f64 (pow.f64 x -1/2) 1)
30.6b
(*.f64 (pow.f64 x -3/2) 1/2)
30.7b
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
31.6b
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
46.4b
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
31.2b
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
Compiler

Compiled 233 to 180 computations (22.7% saved)

regimes109.0ms (1.1%)

Counts
63 → 1
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 x)) x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 0 (+.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x)))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2))
(-.f64 (pow.f64 (cbrt.f64 x) -3/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
(-.f64 (pow.f64 (pow.f64 x -1/4) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 x -1/6) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (*.f64 -1/2 (log.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)) -1)
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (exp.f64 (*.f64 -1/2 (log1p.f64 x)))))
(/.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (*.f64 x (+.f64 1 x)) -1/2))))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(fma.f64 (pow.f64 (+.f64 1 x) -1/4) (neg.f64 (pow.f64 (+.f64 1 x) -1/4)) (pow.f64 x -1/2))
(/.f64 (-.f64 (/.f64 1 x) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 2)) (-.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 2) (cbrt.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) (pow.f64 x -1/2))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 3)) (+.f64 (/.f64 1 x) (-.f64 (pow.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) 2) (*.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))))
(+.f64 (fma.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x)) (neg.f64 (*.f64 (pow.f64 (+.f64 1 x) -1/6) (/.f64 1 (cbrt.f64 (+.f64 1 x)))))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/6)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (*.f64 (pow.f64 (+.f64 1 x) -1/6) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))
Outputs
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)) -1)
Calls

3 calls:

36.0ms
x
14.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
13.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
ErrorSegmentsBranch
1.0b1x
1.0b1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0b1(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 880 to 665 computations (24.4% saved)

regimes124.0ms (1.3%)

Counts
51 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 1 (+.f64 1 x)) x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 0 (+.f64 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)) (*.f64 (/.f64 1 (pow.f64 x 5/2)) (+.f64 (/.f64 5/16 x) (+.f64 -3/8 (/.f64 -35/128 (*.f64 x x)))))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 -1/2 (log1p.f64 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) -3/2))
(-.f64 (pow.f64 (cbrt.f64 x) -3/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 (+.f64 1 x) -3/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) -1/4) 2))
(-.f64 (pow.f64 (pow.f64 x -1/4) 2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (pow.f64 (pow.f64 x -1/6) 3) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (exp.f64 (*.f64 -1/2 (log.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 x -1/6)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
(-.f64 (*.f64 (pow.f64 x -1/6) (cbrt.f64 (/.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Outputs
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
Calls

3 calls:

52.0ms
x
19.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
18.0ms
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Results
ErrorSegmentsBranch
0.1b2x
0.1b2(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.1b2(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
Compiler

Compiled 612 to 455 computations (25.7% saved)

bsearch37.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
37.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes36.0ms (0.4%)

Counts
28 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(+.f64 0 (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(/.f64 (/.f64 (/.f64 (+.f64 1 (-.f64 x x)) x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
Outputs
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x))))
Calls

1 calls:

28.0ms
x
Results
ErrorSegmentsBranch
0.3b2x
Compiler

Compiled 275 to 199 computations (27.6% saved)

bsearch45.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
44.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes37.0ms (0.4%)

Counts
23 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
Outputs
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16)))))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
Calls

1 calls:

31.0ms
x
Results
ErrorSegmentsBranch
0.4b2x
Compiler

Compiled 183 to 132 computations (27.9% saved)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
22.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes29.0ms (0.3%)

Counts
22 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(/.f64 (pow.f64 (/.f64 -1 (/.f64 -1 x)) 1/2) (/.f64 (*.f64 x x) 1/2))
(+.f64 0 (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
Outputs
(-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2))))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
Calls

1 calls:

24.0ms
x
Results
ErrorSegmentsBranch
0.5b2x
Compiler

Compiled 166 to 119 computations (28.3% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes32.0ms (0.3%)

Counts
19 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
Outputs
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x)))
Calls

1 calls:

27.0ms
x
Results
ErrorSegmentsBranch
0.7b2x
Compiler

Compiled 127 to 90 computations (29.1% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
23.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes23.0ms (0.2%)

Counts
18 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
(-.f64 (pow.f64 x -1/2) 1)
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(/.f64 (pow.f64 x -1/2) (/.f64 x 1/2))
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(/.f64 (sqrt.f64 x) (/.f64 (*.f64 x x) 1/2))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(+.f64 0 (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (pow.f64 (*.f64 x x) -1/4) (+.f64 (*.f64 -1/2 x) 1))
Outputs
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(*.f64 (pow.f64 x -3/2) 1/2)
Calls

1 calls:

19.0ms
x
Results
ErrorSegmentsBranch
0.8b2x
Compiler

Compiled 116 to 82 computations (29.3% saved)

bsearch27.0ms (0.3%)

Algorithm
1×binary-search
Steps
TimeLeftRight
27.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes19.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.1b2x
Compiler

Compiled 67 to 46 computations (31.3% saved)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
24.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes13.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
(*.f64 (pow.f64 x -3/2) 1/2)
Outputs
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -3/2) 1/2)
Calls

1 calls:

11.0ms
x
Results
ErrorSegmentsBranch
1.9b2x
Compiler

Compiled 28 to 21 computations (25% saved)

bsearch49.0ms (0.5%)

Algorithm
1×binary-search
Steps
TimeLeftRight
49.0ms
0.3487086845664409
103173.36850579105
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
-1
(*.f64 1/2 x)
(-.f64 (*.f64 1/2 x) 1)
(pow.f64 x -1/2)
(/.f64 1 (sqrt.f64 x))
(sqrt.f64 (/.f64 1 x))
Outputs
(pow.f64 x -1/2)
Calls

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
32.1b1x
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes5.0ms (0.1%)

Accuracy

Total -1.5b remaining (-2.5%)

Threshold costs -1.5b (-2.5%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
61.4b1x
Compiler

Compiled 12 to 9 computations (25% saved)

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
28×+-commutative_binary64
23×*-commutative_binary64
18×sub-neg_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057320
191320
2109320
3132320
4152320
5176320
6188320
7200320
8203320
9204320
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)) -1)
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2)))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1570444301874279/4503599627370496) (pow.f64 x -1/2) (*.f64 (pow.f64 x -3/2) 1/2))
(pow.f64 x -1/2)
(*.f64 1/2 x)
-1
Outputs
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)) -1)
(pow.f64 (*.f64 (+.f64 1 x) (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) -1)
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (+.f64 (/.f64 5/16 (*.f64 x x)) (/.f64 -3/8 x)))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 3/8 (*.f64 x -5/16))))))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (-.f64 (*.f64 3/8 x) 1/2)))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 (*.f64 x 3/8) -1/2)))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (*.f64 x (+.f64 -1/2 (*.f64 x 3/8))))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (+.f64 -1 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2))) (*.f64 (/.f64 (pow.f64 x -1/2) x) (+.f64 1/2 (/.f64 -3/8 x))))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1570444301874279/4503599627370496) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 1570444301874279/4503599627370496) (+.f64 -1 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2))) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 1570444301874279/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1570444301874279/4503599627370496) (+.f64 (pow.f64 x -1/2) -1) (*.f64 1/2 (pow.f64 x -3/2)))
(if (<=.f64 x 1570444301874279/4503599627370496) (pow.f64 x -1/2) (*.f64 (pow.f64 x -3/2) 1/2))
(if (<=.f64 x 1570444301874279/4503599627370496) (pow.f64 x -1/2) (*.f64 1/2 (pow.f64 x -3/2)))
(pow.f64 x -1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)
-1
Compiler

Compiled 232 to 177 computations (23.7% saved)

soundness152.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
738×times-frac_binary64
478×associate-/l*_binary64
416×associate-/r*_binary64
375×unswap-sqr_binary64
362×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
099797
1268765
2687609
31971514
47380469
Stop Event
1×node limit
Compiler

Compiled 984 to 835 computations (15.1% saved)

end163.0ms (1.7%)

Compiler

Compiled 221 to 165 computations (25.3% saved)

Profiling

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