Details

Time bar (total: 4.6s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample1.6s (35.6%)

Results
743.0ms2032×body1024valid
525.0ms5004×body256valid
249.0ms1022×body512valid
95.0ms198×body2048valid
Bogosity

preprocess68.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
868×unswap-sqr_binary64
382×associate-*l*_binary64
378×fma-def_binary64
314×associate-/l/_binary64
290×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01630
12930
24130
35830
410330
522630
659930
7190130
8496930
9639430
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 y)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) y))) -1)
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify48.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
981×times-frac_binary64
942×fma-neg_binary64
434×unswap-sqr_binary64
363×associate-*l/_binary64
344×associate-/l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
11915
22515
33415
45915
512415
632515
7100015
8258215
9419615
10716515
Stop Event
1×node limit
Counts
1 → 3
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (/.f64 x -1/2)))) -1)

eval1.0ms (0%)

Compiler

Compiled 32 to 29 computations (9.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
33.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.0b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓3.8b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series6.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

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

rewrite76.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
426×log-prod_binary64
329×exp-prod_binary64
259×prod-diff_binary64
252×pow2_binary64
245×pow-prod-down_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
121736
2272036
Stop Event
1×node limit
Counts
3 → 146
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 1 (exp.f64 (*.f64 -2 x)))
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)))))

simplify100.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
720×fma-def_binary64
511×fma-neg_binary64
350×unswap-sqr_binary64
266×distribute-rgt-in_binary64
244×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03473094
17732965
221682959
377892959
Stop Event
1×node limit
Counts
166 → 234
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
2
(+.f64 2 (*.f64 -2 x))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(+.f64 0 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(+.f64 -1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))))
(*.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(*.f64 (+.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) (-.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) (-.f64 1 (*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1))))
(/.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1) (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) (neg.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1)
(pow.f64 (E.f64) (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) 1) (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (fma.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (sqrt.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(log.f64 (exp.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(expm1.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1) 1))
(fma.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1) -1)
(fma.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(fma.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1 -1)
(fma.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) -1)
(fma.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1) -1)
(fma.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2 -1)
(fma.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) -1)
(fma.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (/.f64 1 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1)))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))))
(/.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))
(/.f64 (expm1.f64 (*.f64 (+.f64 x x) -2)) (expm1.f64 (*.f64 -2 x)))
(pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)
(pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)
(pow.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1) (+.f64 1 (pow.f64 (exp.f64 x) -6))) -1)
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2)) (cbrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))
(log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))
(exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))
(fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)
(fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)
(fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)
(+.f64 0 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))
(-.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)
(*.f64 2 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 2 (*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1))
(*.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))
(*.f64 -2 (/.f64 1 (+.f64 -1 (neg.f64 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2))) (*.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 1))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)
(*.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -6))) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))
(*.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))
(pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)
(pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)) 1/3)
(pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)
(pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1)
(pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2)) (cbrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))
(sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))
(cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))
(exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))
(exp.f64 (*.f64 (*.f64 3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 1/3))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) (log.f64 1/2)) -1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -17/315 (pow.f64 x 7)) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 -17/315 (pow.f64 x 7) (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 -17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x))) -1)
(+.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) -1)
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
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2
(+.f64 2 (*.f64 -2 x))
(+.f64 2 (*.f64 x -2))
(fma.f64 x -2 2)
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (*.f64 -2 x)))
(fma.f64 2 (*.f64 x x) (+.f64 2 (*.f64 x -2)))
(fma.f64 2 (*.f64 x x) (fma.f64 x -2 2))
(fma.f64 x -2 (fma.f64 x (+.f64 x x) 2))
(+.f64 (*.f64 2 (pow.f64 x 2)) (+.f64 2 (+.f64 (*.f64 -2 x) (*.f64 -4/3 (pow.f64 x 3)))))
(fma.f64 2 (*.f64 x x) (+.f64 2 (fma.f64 -2 x (*.f64 (pow.f64 x 3) -4/3))))
(+.f64 (fma.f64 2 (*.f64 x x) (fma.f64 x -2 2)) (*.f64 (pow.f64 x 3) -4/3))
(fma.f64 (fma.f64 x x 1) 2 (fma.f64 (pow.f64 x 3) -4/3 (*.f64 x -2)))
1
(+.f64 1 x)
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(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(exp.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3) 1/3))
(pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))
(exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 -2) x))))
(fma.f64 1 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(fma.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1 -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) 2) (cbrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) (sqrt.f64 (+.f64 1 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))) -1)
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))
(/.f64 2 (+.f64 1 (pow.f64 (exp.f64 -2) x)))

eval86.0ms (1.9%)

Compiler

Compiled 3810 to 3156 computations (17.2% saved)

prune34.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2295234
Fresh000
Picked011
Done000
Total2296235
Error
0b
Counts
235 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶47.6b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
✓33.0b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶59.5b
(-.f64 (+.f64 x 1) 1)
▶27.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶27.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
26.7b
x
Compiler

Compiled 57 to 48 computations (15.8% saved)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 -1/3 (pow.f64 x 3))
Compiler

Compiled 20 to 15 computations (25% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

3 calls:

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

rewrite40.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
505×pow1_binary64
498×add-sqr-sqrt_binary64
476×add-log-exp_binary64
476×log1p-expm1-u_binary64
476×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11297
213247
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))))))

simplify40.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1136×log-prod_binary64
454×exp-sum_binary64
411×distribute-rgt-in_binary64
404×distribute-lft-in_binary64
324×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037143
196110
231077
3186177
4597377
Stop Event
1×node limit
Counts
11 → 14
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
Outputs
(-.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) 1)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 1)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(pow.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) 2)
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(sqrt.f64 (*.f64 (pow.f64 x 6) 1/9))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(log.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(cbrt.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(expm1.f64 (log1p.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(log1p.f64 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))
(exp.f64 (log.f64 (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 (+.f64 1 (*.f64 -1/3 (pow.f64 x 3))) -1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) 0)
(*.f64 -1/3 (pow.f64 x 3))

localize47.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 2/15 (pow.f64 x 5))
0.1b
(*.f64 -1/3 (pow.f64 x 3))
✓14.5b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Compiler

Compiled 43 to 33 computations (23.3% saved)

series3.0ms (0.1%)

Counts
2 → 10
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
1.0ms
x
@0
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
1.0ms
x
@0
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@-inf
(*.f64 2/15 (pow.f64 x 5))

rewrite62.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
556×log-prod_binary64
547×fma-def_binary64
332×pow2_binary64
319×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
127922
2351722
Stop Event
1×node limit
Counts
2 → 104
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 2/15 (pow.f64 x 5))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (*.f64 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))) 1))))))

simplify73.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
568×distribute-rgt-in_binary64
552×distribute-lft-in_binary64
335×log-prod_binary64
258×unswap-sqr_binary64
249×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02672177
16662130
218392088
376132088
Stop Event
1×node limit
Counts
114 → 129
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))
(/.f64 1 (/.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (+.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (*.f64 -1/3 (*.f64 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) (neg.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) (neg.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (-.f64 (*.f64 x x) (*.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (*.f64 (pow.f64 x 6) 1/9)) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2) (*.f64 x x)) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x))
(pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))) -1)
(pow.f64 (/.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 2))
(log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (exp.f64 x) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))
(log.f64 (*.f64 (exp.f64 x) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))) (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))) (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))))
(log.f64 (*.f64 (exp.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3))))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) (exp.f64 x)))
(log.f64 (*.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)) (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 1))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 x (*.f64 (*.f64 x x) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 (pow.f64 x 3)) 1 (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 2/15 (pow.f64 x 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) 2/15 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x)
(fma.f64 (*.f64 x x) (*.f64 x -1/3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/15) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (*.f64 x (cbrt.f64 -1/3)) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)
(fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)
(fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 (*.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(+.f64 0 (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)
(pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)
(pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)
(pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))
(log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))
(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
(exp.f64 (*.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))) 1))
Outputs
x
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(fma.f64 -1/3 (pow.f64 x 3) x)
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(-.f64 (/.f64 (*.f64 (pow.f64 x 6) 1/9) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))) (/.f64 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 x 5) -2/15) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(*.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(*.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(*.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (/.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 x 5) -2/15) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (-.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9)) (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3))))
(*.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (/.f64 1 (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 6) 1/9))))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 (pow.f64 x 3) 1/3)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 (fma.f64 (pow.f64 x 9) -1/27 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 3)) (fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 (pow.f64 x 6) 1/9)))
(/.f64 1 (/.f64 (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))) (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (neg.f64 (fma.f64 2/15 (pow.f64 x 5) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 6) 1/9) (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 -1/3 (pow.f64 x 3) (-.f64 (*.f64 (pow.f64 x 5) -2/15) x)))
(/.f64 (fma.f64 (pow.f64 x 6) -1/9 (pow.f64 (fma.f64 2/15 (pow.f64 x 5) x) 2)) (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
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(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) 2) (cbrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 (pow.f64 (cbrt.f64 x) 5) 2/15) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 2/15 (pow.f64 (cbrt.f64 x) 5)) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (*.f64 x (cbrt.f64 -1/3)) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3))
(fma.f64 (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (*.f64 x (cbrt.f64 -1/3)) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 x (cbrt.f64 -1/3)) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 2) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 (fma.f64 2/15 (pow.f64 x 5) x) (pow.f64 (*.f64 x (cbrt.f64 -1/3)) 3))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) (cbrt.f64 (*.f64 (pow.f64 x 10) 4/225)) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (sqrt.f64 (fma.f64 2/15 (pow.f64 x 5) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (*.f64 (sqrt.f64 -1/3) (pow.f64 x 3/2)) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (*.f64 2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (*.f64 -2/15 (pow.f64 x 5))) (*.f64 (pow.f64 x 10) 4/225))) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 (pow.f64 x 10) 4/225))) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (fma.f64 (pow.f64 x 15) 8/3375 (pow.f64 x 3)) (fma.f64 x (+.f64 x (*.f64 (pow.f64 x 5) -2/15)) (*.f64 (pow.f64 x 10) 4/225))))
(fma.f64 (fma.f64 (pow.f64 x 10) 4/225 (neg.f64 (*.f64 x x))) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (fma.f64 (pow.f64 x 10) 4/225 (*.f64 x (neg.f64 x))) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(fma.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/225) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)) (*.f64 -1/3 (pow.f64 x 3)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (/.f64 (-.f64 (*.f64 (pow.f64 x 10) 4/225) (*.f64 x x)) (-.f64 (*.f64 2/15 (pow.f64 x 5)) x)))
(fma.f64 (pow.f64 x 3/2) (*.f64 (pow.f64 x 3/2) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 x 5/2) (*.f64 (pow.f64 x 5/2) 2/15) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 2) (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) x)
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 (*.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 -1/3 (pow.f64 x 3/2)) (pow.f64 x 3/2) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 (cbrt.f64 (pow.f64 x 10)) (*.f64 2/15 (pow.f64 (cbrt.f64 x) 5)) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (*.f64 2/15 (cbrt.f64 (pow.f64 x 10))) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(fma.f64 (*.f64 2/15 (pow.f64 x 5/2)) (pow.f64 x 5/2) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))
(+.f64 0 (*.f64 2/15 (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))))
(*.f64 2/15 (pow.f64 x 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5)))) 1)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 2/15 (pow.f64 x 5)) 1)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 10) 4/225) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(pow.f64 (cbrt.f64 (*.f64 2/15 (pow.f64 x 5))) 3)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (sqrt.f64 2/15) (pow.f64 x 5/2)) 2)
(*.f64 2/15 (pow.f64 x 5))
(pow.f64 (*.f64 (pow.f64 x 15) 8/3375) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(sqrt.f64 (*.f64 (pow.f64 x 10) 4/225))
(log.f64 (pow.f64 (exp.f64 2/15) (pow.f64 x 5)))
(*.f64 2/15 (pow.f64 x 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2/15 (pow.f64 x 5)))))
(*.f64 2/15 (pow.f64 x 5))
(cbrt.f64 (*.f64 (pow.f64 x 15) 8/3375))
(expm1.f64 (log1p.f64 (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(log1p.f64 (expm1.f64 (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(exp.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))))
(*.f64 2/15 (pow.f64 x 5))
(exp.f64 (*.f64 (log.f64 (*.f64 2/15 (pow.f64 x 5))) 1))
(*.f64 2/15 (pow.f64 x 5))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.0b
(-.f64 (+.f64 x 1) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite38.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
533×pow1_binary64
502×add-log-exp_binary64
502×log1p-expm1-u_binary64
502×expm1-log1p-u_binary64
494×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054
11161
216231
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 x 1) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.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 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)))))

simplify30.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
586×distribute-rgt-in_binary64
568×fma-def_binary64
543×distribute-lft-in_binary64
439×associate-/l*_binary64
338×associate-/r*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091188
1223173
2987173
Stop Event
1×node limit
Counts
53 → 45
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 1 (+.f64 x -1))
(+.f64 (+.f64 x 1) -1)
(+.f64 0 x)
(+.f64 -1 (+.f64 x 1))
(*.f64 x 1)
(*.f64 1 x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(pow.f64 x 1)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x 3) 1/3)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(fma.f64 1 x 0)
(fma.f64 1 (+.f64 x 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 (+.f64 x 1) -1)
x
(+.f64 0 x)
x
(+.f64 -1 (+.f64 x 1))
x
(*.f64 x 1)
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1))
x
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (*.f64 (+.f64 x 1) (-.f64 -2 x))))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (sqrt.f64 (+.f64 x 1)) 1) (-.f64 (sqrt.f64 (+.f64 x 1)) 1))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 x 1) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (*.f64 (+.f64 x 1) (-.f64 -2 x))))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (*.f64 (+.f64 x 1) (-.f64 -2 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1) (+.f64 (pow.f64 (+.f64 x 1) 2) (-.f64 1 (*.f64 (+.f64 x 1) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (*.f64 (+.f64 x 1) (-.f64 -2 x))))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 x 1) -1))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (+.f64 x 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 x (+.f64 2 (pow.f64 (+.f64 x 1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3)) (+.f64 -1 (*.f64 (+.f64 x 1) (-.f64 -2 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (+.f64 (pow.f64 x 3) 0) (+.f64 (*.f64 x x) (-.f64 0 (*.f64 x 0))))
x
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
x
(pow.f64 x 1)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(fma.f64 1 x 0)
x
(fma.f64 1 (+.f64 x 1) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) -1)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) -1)
x

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 2 (+.f64 2 (*.f64 x -2)))
✓3.8b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite57.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
590×unpow-prod-down_binary64
401×log-prod_binary64
306×exp-prod_binary64
301×prod-diff_binary64
238×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0923
120219
2255519
Stop Event
1×node limit
Counts
2 → 124
Calls
Call 1
Inputs
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 2 (+.f64 2 (*.f64 x -2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 2 (fma.f64 x -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)))))) (#(struct:change 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((x log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (fma.f64 x -2 2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (fma.f64 x -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (fma.f64 x -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (fma.f64 x -2 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 x -2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 x -2 2) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 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(log.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -2 2) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)))))

simplify58.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
648×unswap-sqr_binary64
501×distribute-rgt-in_binary64
437×distribute-lft-in_binary64
223×sqr-pow_binary64
146×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03212426
17732286
223012271
Stop Event
1×node limit
Counts
148 → 203
Calls
Call 1
Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 0 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (pow.f64 (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))) 1))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (pow.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) 1))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2) 3) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3))
(/.f64 1 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) (-.f64 1 (*.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(/.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1))
(/.f64 (neg.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1)) (neg.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (neg.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) (neg.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 2)
(pow.f64 (/.f64 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2))) (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1)) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3))
(expm1.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(expm1.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1) 1))
(fma.f64 2 (/.f64 1 (fma.f64 x -2 2)) -1)
(fma.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) -1)
(fma.f64 (/.f64 2 (fma.f64 x -2 2)) 1 -1)
(fma.f64 1 (/.f64 2 (fma.f64 x -2 2)) -1)
(fma.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) -1)
(fma.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) -1)
(fma.f64 (/.f64 1 (fma.f64 x -2 2)) 2 -1)
(fma.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4) -1)
(fma.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) (+.f64 2 (*.f64 2 x)) -1)
(+.f64 0 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))))
(-.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1)
(*.f64 2 (/.f64 1 (fma.f64 x -2 2)))
(*.f64 -2 (/.f64 1 (neg.f64 (fma.f64 x -2 2))))
(*.f64 -2 (pow.f64 (/.f64 1 (neg.f64 (fma.f64 x -2 2))) 1))
(*.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(*.f64 1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (cbrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2))) (pow.f64 (*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(*.f64 (/.f64 1 (fma.f64 x -2 2)) 2)
(*.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4))
(*.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) (+.f64 2 (*.f64 2 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 3))
(*.f64 (pow.f64 (/.f64 2 (fma.f64 (pow.f64 x 3) -8 8)) 1) (fma.f64 (*.f64 x -2) (fma.f64 x -2 -2) 4))
(*.f64 (pow.f64 (/.f64 2 (-.f64 4 (*.f64 4 (*.f64 x x)))) 1) (+.f64 2 (*.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (/.f64 1 (fma.f64 x -2 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 2) 3) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (/.f64 1 (fma.f64 x -2 2)))
(*.f64 (pow.f64 8 1/3) (/.f64 1 (fma.f64 x -2 2)))
(*.f64 (pow.f64 (*.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)) 2) 1/3) (cbrt.f64 (/.f64 1 (fma.f64 x -2 2))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 2 (fma.f64 x -2 2)) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 2) 1/2)) 2) -1) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(pow.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)) 1/2)
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(pow.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)) 1/3)
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1)
(pow.f64 (/.f64 (*.f64 (fma.f64 x -2 2) 1/2) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -2 2) 1/2)) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 3) 1/3))
(fma.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) -1)
(fma.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)
Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (+.f64 (*.f64 x x) 1) (fma.f64 x x x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (-.f64 -1 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))) (-.f64 -1 (/.f64 1 x)))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) x))
(+.f64 (+.f64 x (*.f64 x x)) 1)
(+.f64 (fma.f64 x x x) 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x)))
(+.f64 (+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3))) 1)
(+.f64 (*.f64 x (fma.f64 x x x)) (+.f64 x 1))
(+.f64 (+.f64 x (*.f64 x (fma.f64 x x x))) 1)
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 0 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))))))
(*.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 1)
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 2)) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (pow.f64 (/.f64 1 (+.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1) (/.f64 2 (fma.f64 x -2 2)))) 1))
(*.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1))))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (+.f64 (/.f64 2 (fma.f64 x -2 2)) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) 1)))
(/.f64 (fma.f64 8 (pow.f64 (fma.f64 x -2 2) -3) -1) (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (+.f64 1 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (pow.f64 (/.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) 1))
(*.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (/.f64 1 (+.f64 1 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 (fma.f64 4 (pow.f64 (fma.f64 x -2 2) -2) -1) (+.f64 1 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (pow.f64 1 1/3) (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 3))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 3/2)) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 3/2)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2)))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))) 5/2)) (cbrt.f64 (sqrt.f64 (+.f64 -1 (/.f64 2 (fma.f64 x -2 2))))))
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(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 2 (fma.f64 x -2 2)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 2) 1/2)) 2) -1) (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))))
(*.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 2) 1/2)) 2)))
(/.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x -2 2) 1/2)) 2))
(pow.f64 (/.f64 2 (fma.f64 x -2 2)) 1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)))
(pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2))) 3)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2))) 2)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)) 1/3)
(cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)))
(pow.f64 (*.f64 (fma.f64 x -2 2) 1/2) -1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) -1)) 1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (/.f64 (*.f64 (fma.f64 x -2 2) 1/2) 1) -1)
(/.f64 2 (fma.f64 x -2 2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2)))))
(sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 x -2 2) -2)))
(log.f64 (exp.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 x -2 2)))))
(/.f64 2 (fma.f64 x -2 2))
(cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)))
(expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 3))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 x -2 2)))) 2))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3))) 1/3))
(cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 x -2 2) -3)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x -2 2) 1/2)) -1))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 1) 1))
(/.f64 2 (fma.f64 x -2 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 x -2 2))) 3) 1/3))
(/.f64 2 (fma.f64 x -2 2))
(fma.f64 1 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) -1)
(/.f64 2 (fma.f64 x -2 2))
(fma.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1) 1 -1)
(/.f64 2 (fma.f64 x -2 2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)
(/.f64 2 (fma.f64 x -2 2))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 x -2 2)) 1)) -1)
(/.f64 2 (fma.f64 x -2 2))

eval148.0ms (3.3%)

Compiler

Compiled 6485 to 5282 computations (18.6% saved)

prune63.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New4014405
Fresh011
Picked101
Done044
Total4029411
Error
0b
Counts
411 → 9
Alt Table
Click to see full alt table
StatusErrorProgram
▶43.9b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
✓33.0b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.5b
(-.f64 (+.f64 x 1) 1)
✓27.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓27.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶59.5b
(+.f64 1 (+.f64 x -1))
▶27.2b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
26.7b
x
48.5b
-1
Compiler

Compiled 80 to 65 computations (18.8% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(/.f64 1 (+.f64 x 2))
✓11.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite58.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
880×pow1_binary64
823×add-log-exp_binary64
822×log1p-expm1-u_binary64
822×expm1-log1p-u_binary64
808×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0827
117527
2227527
Stop Event
1×node limit
Counts
3 → 69
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(/.f64 1 (+.f64 x 2))
(*.f64 (+.f64 x 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))))))

simplify38.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
750×fma-def_binary64
583×associate-/l/_binary64
447×distribute-rgt-in_binary64
438×distribute-lft-in_binary64
390×associate-/r/_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0187825
1469753
21845697
Stop Event
1×node limit
Counts
105 → 122
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 2 x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))
(pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1)
(*.f64 1 (/.f64 1 (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (+.f64 x 2) -1)
(pow.f64 (/.f64 1 (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)
(pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)
(sqrt.f64 (pow.f64 (+.f64 x 2) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))
(+.f64 (*.f64 x x) (*.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 1/2 (*.f64 -1/4 x)))
(fma.f64 1/8 (*.f64 x x) (+.f64 1/2 (*.f64 x -1/4)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 x -1/4 1/2))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x -1/4 1/2))
(+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) (+.f64 1/2 (*.f64 -1/4 x))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (+.f64 1/2 (*.f64 x -1/4))))
(fma.f64 1/8 (*.f64 x x) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 x 1/8) (fma.f64 -1/16 (pow.f64 x 3) (fma.f64 x -1/4 1/2)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -2 (*.f64 x x))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 4 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x))) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 -8 (pow.f64 x 4))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(*.f64 x (+.f64 x 2))
(-.f64 (+.f64 1 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 1)
x
(/.f64 x (/.f64 (+.f64 x 2) (+.f64 x 2)))
x
(/.f64 (+.f64 x 2) (/.f64 (+.f64 x 2) x))
x
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 x 2))))
x
(/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x (+.f64 x 2)))))
x
(/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))))
x
(/.f64 (neg.f64 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) 1) (+.f64 x 2))
x
(/.f64 (/.f64 (*.f64 x (+.f64 x 2)) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
x
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (/.f64 x (+.f64 x 2))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (+.f64 x 2)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 x 2)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (/.f64 (fma.f64 x 8 (pow.f64 x 4)) (+.f64 x 2)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 (fma.f64 x x -4) (/.f64 x (+.f64 x 2))) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (/.f64 x (+.f64 x 2))))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (/.f64 x (+.f64 x 2)))
(/.f64 (*.f64 -1 (*.f64 x (+.f64 x 2))) (+.f64 -2 (neg.f64 x)))
x
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1) (+.f64 -2 (neg.f64 x)))
x
(pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 1)
x
(pow.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3) 1/3)
x
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 3)
x
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))) 2)
x
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 2))
x
(log.f64 (pow.f64 (exp.f64 (+.f64 x 2)) (/.f64 x (+.f64 x 2))))
x
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2))) 3))
x
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (/.f64 1 (+.f64 x 2)) 3)))
x
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))
x
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
x
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
x
(exp.f64 (log.f64 (*.f64 (+.f64 x 2) (/.f64 x (+.f64 x 2)))))
x
(-.f64 (+.f64 1 (/.f64 1 (+.f64 x 2))) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(*.f64 1 (/.f64 1 (+.f64 x 2)))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (/.f64 1 (cbrt.f64 (+.f64 x 2))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) (cbrt.f64 (pow.f64 (+.f64 x 2) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x 2) -2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (pow.f64 (+.f64 x 2) -1/2) (pow.f64 (+.f64 x 2) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(*.f64 -1 (/.f64 1 (+.f64 -2 (neg.f64 x))))
(/.f64 -1 (-.f64 -2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x 2)) -1))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 2)) -1) (pow.f64 (sqrt.f64 (+.f64 x 2)) -1))
(pow.f64 (sqrt.f64 (+.f64 x 2)) -2)
(*.f64 (/.f64 1 (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(*.f64 (fma.f64 x x (-.f64 4 (*.f64 x 2))) (/.f64 1 (+.f64 (pow.f64 x 3) 8)))
(/.f64 (fma.f64 x x (+.f64 4 (*.f64 x -2))) (+.f64 (pow.f64 x 3) 8))
(/.f64 (fma.f64 x x (fma.f64 x -2 4)) (+.f64 (pow.f64 x 3) 8))
(*.f64 (/.f64 1 (fma.f64 x x -4)) (+.f64 x -2))
(*.f64 (+.f64 x -2) (/.f64 1 (fma.f64 x x -4)))
(/.f64 (+.f64 x -2) (fma.f64 x x -4))
(pow.f64 (+.f64 x 2) -1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (+.f64 x 2)) 1)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x 2))) 3)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(pow.f64 (pow.f64 (+.f64 x 2) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(sqrt.f64 (pow.f64 (+.f64 x 2) -2))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 2)) 3))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(exp.f64 (neg.f64 (log.f64 (+.f64 x 2))))
(+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1))
(+.f64 (/.f64 1 (+.f64 x 2)) 0)
(/.f64 1 (+.f64 x 2))
(+.f64 (*.f64 x x) (*.f64 x 2))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 x 2) (*.f64 x x))
(*.f64 x (+.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1)
(*.f64 x (+.f64 x 2))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) x) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 (fma.f64 x x -4) x) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (*.f64 x (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (*.f64 x (+.f64 (pow.f64 x 3) 8)) (fma.f64 x x (-.f64 4 (*.f64 x 2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (+.f64 4 (*.f64 x -2))))
(/.f64 (fma.f64 x 8 (pow.f64 x 4)) (fma.f64 x x (fma.f64 x -2 4)))
(/.f64 (*.f64 x (fma.f64 x x -4)) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) x))
(*.f64 (/.f64 x (+.f64 x -2)) (fma.f64 x x -4))
(*.f64 x (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(pow.f64 (*.f64 x (+.f64 x 2)) 1)
(*.f64 x (+.f64 x 2))
(pow.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) 1/3)
(*.f64 x (+.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 3)
(*.f64 x (+.f64 x 2))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 2)
(*.f64 x (+.f64 x 2))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))
(*.f64 x (+.f64 x 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 2) 3)))
(*.f64 x (+.f64 x 2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 x 3)))
(*.f64 x (+.f64 x 2))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))
(exp.f64 (log.f64 (*.f64 x (+.f64 x 2))))
(*.f64 x (+.f64 x 2))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.8b
(+.f64 1 (+.f64 x -1))
Compiler

Compiled 13 to 10 computations (23.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite39.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
691×pow1_binary64
647×add-log-exp_binary64
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
637×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11294
217044
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 1 (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x 0)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)))))

simplify43.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
810×div-sub_binary64
504×fma-def_binary64
420×associate-*l*_binary64
359×associate-*r*_binary64
260×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083334
1236291
2898272
36002272
Stop Event
1×node limit
Counts
44 → 42
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (+.f64 x 0)) 1)
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(*.f64 1 (+.f64 x 0))
(*.f64 (+.f64 x 0) 1)
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(pow.f64 (+.f64 x 0) 1)
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
(log.f64 (exp.f64 (+.f64 x 0)))
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
(expm1.f64 (log1p.f64 (+.f64 x 0)))
(log1p.f64 (expm1.f64 (+.f64 x 0)))
(exp.f64 (log.f64 (+.f64 x 0)))
(fma.f64 1 (+.f64 x -1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(-.f64 (+.f64 1 (+.f64 x 0)) 1)
x
(-.f64 (/.f64 1 (-.f64 2 x)) (/.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(*.f64 1 (+.f64 x 0))
x
(*.f64 (+.f64 x 0) 1)
x
(*.f64 (cbrt.f64 (+.f64 x 0)) (pow.f64 (cbrt.f64 (+.f64 x 0)) 2))
x
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 0)) 2) (cbrt.f64 (+.f64 x 0)))
x
(*.f64 (sqrt.f64 (+.f64 x 0)) (sqrt.f64 (+.f64 x 0)))
x
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (/.f64 1 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))) (+.f64 1 (pow.f64 (+.f64 x -1) 3))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 1 (/.f64 (-.f64 2 x) (-.f64 1 (pow.f64 (+.f64 x -1) 2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (-.f64 2 x)))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -1)))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (-.f64 (pow.f64 (+.f64 x -1) 2) (+.f64 x -2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -2))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2))) (neg.f64 (-.f64 2 x)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 1 x) (-.f64 1 (*.f64 -1 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (fma.f64 (+.f64 1 x) (+.f64 1 x) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 x) 3)) (+.f64 1 (*.f64 (+.f64 1 x) (+.f64 x 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) 1) (-.f64 (+.f64 x -1) 1))
(/.f64 (-.f64 1 (pow.f64 (+.f64 x -1) 2)) (-.f64 2 x))
(/.f64 (*.f64 x (+.f64 x -2)) (+.f64 x -2))
(/.f64 (-.f64 (*.f64 (+.f64 1 x) (+.f64 1 x)) 1) (-.f64 (+.f64 1 x) -1))
(/.f64 (fma.f64 (+.f64 1 x) (+.f64 1 x) -1) (+.f64 1 (-.f64 x -1)))
(/.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 2))
(*.f64 (/.f64 (+.f64 x 2) (+.f64 x 2)) x)
(pow.f64 (+.f64 x 0) 1)
x
(pow.f64 (pow.f64 (+.f64 x 0) 3) 1/3)
x
(pow.f64 (cbrt.f64 (+.f64 x 0)) 3)
x
(pow.f64 (sqrt.f64 (+.f64 x 0)) 2)
x
(sqrt.f64 (pow.f64 (+.f64 x 0) 2))
x
(log.f64 (exp.f64 (+.f64 x 0)))
x
(cbrt.f64 (pow.f64 (+.f64 x 0) 3))
x
(expm1.f64 (log1p.f64 (+.f64 x 0)))
x
(log1p.f64 (expm1.f64 (+.f64 x 0)))
x
(exp.f64 (log.f64 (+.f64 x 0)))
x
(fma.f64 1 (+.f64 x -1) 1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) 1)
x
(fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) 1)
x

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.3b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite35.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
452×pow1_binary64
439×add-sqr-sqrt_binary64
434×add-log-exp_binary64
433×log1p-expm1-u_binary64
433×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071
11751
218541
Stop Event
1×node limit
Counts
1 → 46
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (/.f64 0 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.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 x (cbrt.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 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(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 (*.f64 x x) 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(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 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) (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 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 fma.f64 (*.f64 x x) (/.f64 1 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)))))

simplify41.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1052×fma-neg_binary64
672×log-prod_binary64
527×unswap-sqr_binary64
313×log-div_binary64
245×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
095151
1232136
21292122
36445122
Stop Event
1×node limit
Counts
58 → 52
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
(+.f64 0 x)
(-.f64 x 0)
(-.f64 x (/.f64 0 (*.f64 x x)))
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 (*.f64 x x) (/.f64 1 x))
(*.f64 1 x)
(*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 x))
(*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (/.f64 x 1) (/.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (/.f64 1 x) -1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(fma.f64 (*.f64 x x) (/.f64 1 x) 0)
(fma.f64 1 x 0)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 x 0)
x
(+.f64 0 x)
x
(-.f64 x 0)
x
(-.f64 x (/.f64 0 (*.f64 x x)))
x
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(*.f64 x (*.f64 x (/.f64 1 x)))
x
(*.f64 (*.f64 x x) (/.f64 1 x))
x
(*.f64 1 x)
x
(*.f64 (pow.f64 x 3) (/.f64 1 (*.f64 x x)))
x
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 1 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (cbrt.f64 x) (/.f64 x (cbrt.f64 x)))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 1 (neg.f64 x)))
x
(*.f64 (/.f64 1 x) (*.f64 x x))
x
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fabs.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (/.f64 (*.f64 x x) 1) (/.f64 1 x))
x
(*.f64 (/.f64 1 (*.f64 x x)) (pow.f64 x 3))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 x x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 1 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)))
(*.f64 (/.f64 x 1) (/.f64 x x))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 1 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
x
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 1 (/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x)))
(*.f64 (/.f64 (*.f64 x x) (*.f64 x x)) x)
x
(*.f64 (/.f64 (*.f64 x x) (*.f64 x (neg.f64 x))) (neg.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (/.f64 1 x) -1)
x
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(fma.f64 (*.f64 x x) (/.f64 1 x) 0)
x
(fma.f64 1 x 0)
x
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) 0)
x
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) 0)
x

eval54.0ms (1.2%)

Compiler

Compiled 2680 to 1927 computations (28.1% saved)

prune41.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New2115216
Fresh022
Picked101
Done156
Total21312225
Error
0b
Counts
225 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.0b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.5b
(-.f64 (+.f64 x 1) 1)
✓27.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓27.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓59.5b
(+.f64 1 (+.f64 x -1))
▶43.9b
(*.f64 (/.f64 1 x) (*.f64 x x))
▶25.9b
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 x 2)))
▶28.2b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
▶26.8b
(*.f64 x (*.f64 x (/.f64 1 x)))
▶43.9b
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
26.7b
x
48.5b
-1
Compiler

Compiled 158 to 119 computations (24.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 16 computations (36% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite43.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
843×pow1_binary64
791×add-log-exp_binary64
790×log1p-expm1-u_binary64
790×expm1-log1p-u_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117910
2251510
Stop Event
1×node limit
Counts
1 → 38
Calls
Call 1
Inputs
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (pow.f64 (+.f64 x 2) -1)) (*.f64 x (pow.f64 (+.f64 x 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) x) (*.f64 (pow.f64 (+.f64 x 2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x x) (/.f64 (+.f64 x 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x 2) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 0 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 0 (+.f64 (neg.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 (+.f64 (neg.f64 x) -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 (*.f64 (+.f64 x 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x 0) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x 0) (+.f64 (neg.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (neg.f64 x) -2) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 (+.f64 x 2) -1)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (pow.f64 (+.f64 x 2) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x x)) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) -1) (+.f64 (neg.f64 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (+.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (pow.f64 (+.f64 x 2) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x 2) -1) 3) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))))))

simplify50.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
761×times-frac_binary64
714×log-prod_binary64
504×associate-*l*_binary64
483×associate-*r*_binary64
391×associate-/l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0126587
1359505
21211499
36839499
Stop Event
1×node limit
Counts
50 → 72
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 x (pow.f64 (+.f64 x 2) -1)) (*.f64 x (pow.f64 (+.f64 x 2) -1)))
(+.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) x) (*.f64 (pow.f64 (+.f64 x 2) -1) x))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1)
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 (+.f64 x x) (/.f64 (+.f64 x 2) (+.f64 x x)))
(/.f64 1 (/.f64 (+.f64 x 2) (+.f64 x x)))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x 2) (fma.f64 x x 0)))
(/.f64 0 (*.f64 0 (+.f64 x 2)))
(/.f64 0 (*.f64 0 (+.f64 (neg.f64 x) -2)))
(/.f64 0 (*.f64 (+.f64 (neg.f64 x) -2) 0))
(/.f64 0 (*.f64 (+.f64 x 2) 0))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x 0) (+.f64 x 2)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x 0) (+.f64 (neg.f64 x) -2)))
(/.f64 (*.f64 -1 (*.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (neg.f64 x) -2) (fma.f64 x x 0)))
(/.f64 (/.f64 (+.f64 x x) 1) (+.f64 x 2))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 (+.f64 x 2) -1)) (fma.f64 x x 0))
(/.f64 (*.f64 0 (pow.f64 (+.f64 x 2) -1)) 0)
(/.f64 (*.f64 -1 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 (+.f64 x x) -1) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(/.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) 0) 0)
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (+.f64 x 2))) 3)
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) 2)
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) -2)))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (pow.f64 (+.f64 x 2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x 2) -1) 3) (+.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/4 (pow.f64 x 3) x))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (+.f64 (*.f64 1/4 (pow.f64 x 3)) x)))
(fma.f64 -1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fma.f64 1/4 (pow.f64 x 3) x)))
(fma.f64 x (*.f64 x -1/2) (fma.f64 1/4 (pow.f64 x 3) (fma.f64 -1/8 (pow.f64 x 4) x)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x))) (/.f64 -16 (pow.f64 x 3)))
2
(-.f64 2 (*.f64 4 (/.f64 1 x)))
(-.f64 2 (/.f64 4 x))
(+.f64 2 (/.f64 -4 x))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (/.f64 4 x)))
(+.f64 (+.f64 2 (/.f64 -4 x)) (/.f64 8 (*.f64 x x)))
(+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x)))
(-.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 2))) 2) (+.f64 (*.f64 16 (/.f64 1 (pow.f64 x 3))) (*.f64 4 (/.f64 1 x))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 2 (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 (+.f64 (-.f64 2 (/.f64 4 x)) (/.f64 8 (*.f64 x x))) (/.f64 -16 (pow.f64 x 3)))
(+.f64 (*.f64 x (pow.f64 (+.f64 x 2) -1)) (*.f64 x (pow.f64 (+.f64 x 2) -1)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(+.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) x) (*.f64 (pow.f64 (+.f64 x 2) -1) x))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x (+.f64 x 2)))) 1)
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (+.f64 x x) (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (+.f64 x x) (/.f64 (+.f64 x 2) (+.f64 x x)))
(*.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) (+.f64 x x))
(*.f64 (/.f64 x (+.f64 x 2)) (*.f64 2 (+.f64 x x)))
(*.f64 x (/.f64 (*.f64 4 x) (-.f64 x -2)))
(/.f64 1 (/.f64 (+.f64 x 2) (+.f64 x x)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 2 (/.f64 (+.f64 x 2) x))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 x 2) (fma.f64 x x 0)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 0 (*.f64 0 (+.f64 x 2)))
0
(/.f64 0 (*.f64 0 (+.f64 (neg.f64 x) -2)))
0
(/.f64 0 (*.f64 (+.f64 (neg.f64 x) -2) 0))
0
(/.f64 0 (*.f64 (+.f64 x 2) 0))
0
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 1) (*.f64 (fma.f64 x x 0) (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) -1) (*.f64 (fma.f64 x x 0) (+.f64 (neg.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(/.f64 (*.f64 -1 (*.f64 2 (pow.f64 x 3))) (*.f64 (+.f64 (neg.f64 x) -2) (fma.f64 x x 0)))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(/.f64 (/.f64 (+.f64 x x) 1) (+.f64 x 2))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (/.f64 (+.f64 x x) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (cbrt.f64 (+.f64 x 2)))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (pow.f64 (+.f64 x 2) -1)) (fma.f64 x x 0))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (*.f64 0 (pow.f64 (+.f64 x 2) -1)) 0)
0
(/.f64 (*.f64 -1 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(/.f64 (*.f64 (+.f64 x x) -1) (+.f64 (neg.f64 x) -2))
(/.f64 (neg.f64 (+.f64 x x)) (+.f64 (neg.f64 x) -2))
(/.f64 (*.f64 x -2) (-.f64 -2 x))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(/.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(/.f64 (*.f64 (pow.f64 (+.f64 x 2) -1) 0) 0)
0
(pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 1)
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3) 1/3)
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(pow.f64 (/.f64 (+.f64 x x) (cbrt.f64 (+.f64 x 2))) 3)
(/.f64 (*.f64 8 (pow.f64 x 3)) (+.f64 x 2))
(*.f64 8 (/.f64 (pow.f64 x 3) (-.f64 x -2)))
(pow.f64 (/.f64 (+.f64 x x) (sqrt.f64 (+.f64 x 2))) 2)
(*.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) (+.f64 x x))
(*.f64 (/.f64 x (+.f64 x 2)) (*.f64 2 (+.f64 x x)))
(*.f64 x (/.f64 (*.f64 4 x) (-.f64 x -2)))
(sqrt.f64 (*.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) -2)))
(sqrt.f64 (*.f64 x (*.f64 2 (pow.f64 (-.f64 x -2) -2))))
(log.f64 (exp.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 x (+.f64 x 2))) 3))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (+.f64 x 2) 3) x)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (-.f64 x -2) 3) x)))
(cbrt.f64 (*.f64 (+.f64 x x) (pow.f64 (pow.f64 (+.f64 x 2) -1) 3)))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (+.f64 x 2) 3) x)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (-.f64 x -2) 3) x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 x 2) -1) 3) (+.f64 x x)))
(cbrt.f64 (/.f64 (+.f64 x x) (pow.f64 (+.f64 x 2) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (+.f64 x 2) 3) x)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (-.f64 x -2) 3) x)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))
(exp.f64 (log.f64 (*.f64 2 (/.f64 x (+.f64 x 2)))))
(*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (+.f64 x 2))
(/.f64 x (/.f64 (-.f64 x -2) 2))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.3b
(/.f64 (*.f64 x x) (neg.f64 x))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 x x) (neg.f64 x))
0.0ms
x
@-inf
(/.f64 (*.f64 x x) (neg.f64 x))
0.0ms
x
@inf
(/.f64 (*.f64 x x) (neg.f64 x))

rewrite36.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
359×pow1_binary64
344×add-sqr-sqrt_binary64
337×*-un-lft-identity_binary64
337×add-log-exp_binary64
336×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059
11101
217351
Stop Event
1×node limit
Counts
1 → 81
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (neg.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (pow.f64 (*.f64 (/.f64 1 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (pow.f64 (pow.f64 (/.f64 1 x) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.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 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) x) 1/2))))) (#(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 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x -1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) -1) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -1) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) x) -1) (pow.f64 (/.f64 (sqrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(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 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 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))))))

simplify50.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
558×log-prod_binary64
515×fma-neg_binary64
492×fma-def_binary64
417×*-commutative_binary64
327×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0203613
1485578
21983485
36733485
Stop Event
1×node limit
Counts
93 → 129
Calls
Call 1
Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(*.f64 -1 x)
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 0 x)
(-.f64 (+.f64 1 x) 1)
(*.f64 x 1)
(*.f64 x -1)
(*.f64 x (/.f64 x x))
(*.f64 x (pow.f64 1 1/2))
(*.f64 x (pow.f64 (*.f64 (/.f64 1 x) x) 1/2))
(*.f64 (*.f64 x x) (/.f64 1 x))
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (/.f64 1 x) 2) 1/2))
(*.f64 1 x)
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (*.f64 x x)) -1))
(*.f64 -1 x)
(*.f64 (/.f64 x x) x)
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) x) 1/3))
(*.f64 (sqrt.f64 -1) x)
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) x) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) x) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (/.f64 x -1) (/.f64 x x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (/.f64 x 1) (/.f64 x x))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (pow.f64 1 1/3) x)
(*.f64 (pow.f64 1 1/2) x)
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) -1) 1/3) (cbrt.f64 x))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (cbrt.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) x) -1) (pow.f64 (/.f64 (sqrt.f64 x) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) -1))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 x) x) -1))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (/.f64 (/.f64 1 x) 1) -1)
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 3)
(-.f64 0 x)
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
x
(*.f64 x 1)
x
(*.f64 x -1)
(neg.f64 x)
(*.f64 x (/.f64 x x))
x
(*.f64 x (pow.f64 1 1/2))
x
(*.f64 x (pow.f64 (*.f64 (/.f64 1 x) x) 1/2))
x
(*.f64 (*.f64 x x) (/.f64 1 x))
x
(*.f64 (*.f64 x x) (pow.f64 (pow.f64 (/.f64 1 x) 2) 1/2))
x
(*.f64 1 x)
x
(*.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))
x
(*.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 (/.f64 1 x) (*.f64 x x))
x
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (*.f64 x x)) -1))
x
(*.f64 -1 x)
(neg.f64 x)
(*.f64 (/.f64 x x) x)
x
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) x) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (sqrt.f64 -1) x)
(*.f64 x (sqrt.f64 -1))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (pow.f64 (*.f64 (sqrt.f64 x) x) 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (*.f64 (cbrt.f64 x) x) 1/2))
x
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (sqrt.f64 (neg.f64 (/.f64 x (cbrt.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 x 3)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (fabs.f64 (pow.f64 x 3/2)) (sqrt.f64 (/.f64 1 x)))
(*.f64 (pow.f64 x 3/2) (sqrt.f64 (/.f64 1 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) (/.f64 x (cbrt.f64 x)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 x x) (cbrt.f64 x)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (*.f64 x x) (sqrt.f64 x)))
x
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 x)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (/.f64 x -1) (/.f64 x x))
(/.f64 x -1)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) -1) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 (pow.f64 x 4)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (neg.f64 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x))
(*.f64 (/.f64 x 1) (/.f64 x x))
x
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (*.f64 -1 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(*.f64 (pow.f64 1 1/3) x)
x
(*.f64 (pow.f64 1 1/2) x)
x
(*.f64 (pow.f64 (*.f64 x (sqrt.f64 x)) 1/2) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) 1/2) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 x) (sqrt.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4)))))
(*.f64 (pow.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) 1/2) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2))) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (sqrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 x 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x 3))) (cbrt.f64 (sqrt.f64 (pow.f64 x 3))))
(*.f64 (cbrt.f64 (fabs.f64 (pow.f64 x 3/2))) (cbrt.f64 (fabs.f64 (pow.f64 x 3/2))))
(*.f64 (cbrt.f64 (pow.f64 x 3/2)) (cbrt.f64 (pow.f64 x 3/2)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) -1) 1/3) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (pow.f64 (cbrt.f64 x) 2)))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) 1/3) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x x) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (*.f64 x (*.f64 x (sqrt.f64 x)))) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 x) 5)) (cbrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) (cbrt.f64 x))
x
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
x
(*.f64 (pow.f64 (sqrt.f64 -1) 2) x)
(neg.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2) -1) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 x)) 2)))
(/.f64 (*.f64 (cbrt.f64 x) 1) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 1 x)) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) x) -1) (pow.f64 (/.f64 (sqrt.f64 x) x) -1))
x
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (*.f64 x x)) -1))
x
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (*.f64 x x)) -1))
x
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 x))
(*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 (pow.f64 (cbrt.f64 x) 2) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)))) (/.f64 1 (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 1 (*.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 x 4)))) (/.f64 1 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 x) 2))))
(*.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (pow.f64 x 4))) (*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 1 (sqrt.f64 x))) (/.f64 (sqrt.f64 x) (/.f64 x (cbrt.f64 x))))
(*.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (pow.f64 x 4))) -1) (pow.f64 (/.f64 x (pow.f64 (cbrt.f64 x) 2)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 (pow.f64 x 4)) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (neg.f64 (cbrt.f64 (pow.f64 x 4))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 x))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) -1) (pow.f64 (/.f64 (cbrt.f64 x) x) -1))
x
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (/.f64 (/.f64 1 x) 1) -1)
x
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 12 computations (36.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite41.0ms (0.9%)

Algorithm
1×egg-rewrite-iter-limit
1×batch-egg-rewrite
Rules
328×pow1_binary64
318×add-sqr-sqrt_binary64
310×*-un-lft-identity_binary64
304×add-log-exp_binary64
304×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11031
29151
051
Stop Event
1×iter limit
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113
1413
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1
Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓28.4b
(*.f64 (/.f64 1 x) (*.f64 x x))
Compiler

Compiled 17 to 9 computations (47.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite36.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
433×pow1_binary64
415×add-sqr-sqrt_binary64
406×*-un-lft-identity_binary64
404×add-log-exp_binary64
403×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067
11211
214531
Stop Event
1×node limit
Counts
1 → 30
Calls
Call 1
Inputs
(*.f64 (/.f64 1 x) (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(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 (sqrt.f64 x) 2)))) (#(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 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))))))

simplify32.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
524×associate-/l/_binary64
470×associate-/r/_binary64
436×log-div_binary64
406×fma-neg_binary64
398×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07197
114993
282678
3694978
Stop Event
1×node limit
Counts
42 → 38
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 1 (/.f64 x (*.f64 x x)))
(/.f64 x 1)
(/.f64 (*.f64 x x) x)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 (*.f64 x x) 1) x)
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))
(pow.f64 x 1)
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (sqrt.f64 x) 2)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 (+.f64 1 x) 1)
x
(/.f64 1 (/.f64 1 x))
x
(/.f64 1 (/.f64 x (*.f64 x x)))
x
(/.f64 x 1)
x
(/.f64 (*.f64 x x) x)
x
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (cbrt.f64 x)))
x
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 x (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) x) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 x))
(/.f64 (sqrt.f64 x) (pow.f64 x -1/2))
(/.f64 (neg.f64 x) -1)
x
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))
x
(/.f64 (/.f64 (*.f64 x x) 1) x)
x
(/.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
x
(/.f64 (*.f64 -1 (*.f64 x x)) (neg.f64 x))
x
(/.f64 (*.f64 (*.f64 x x) -1) (neg.f64 x))
x
(pow.f64 x 1)
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (sqrt.f64 x) 2)
x
(sqrt.f64 (*.f64 x x))
x
(fabs.f64 x)
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 2) x)
✓0.1b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
Compiler

Compiled 33 to 24 computations (27.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite52.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
541×log-prod_binary64
493×prod-diff_binary64
382×pow-prod-down_binary64
293×pow2_binary64
275×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
123114
2309414
Stop Event
1×node limit
Counts
1 → 64
Calls
Call 1
Inputs
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2) (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2)) (-.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))))) (#(struct:change #<rule 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simplify43.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
723×fma-def_binary64
659×distribute-rgt-in_binary64
641×distribute-lft-in_binary64
334×*-commutative_binary64
154×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01851805
15031298
216981255
Stop Event
1×node limit
Counts
76 → 98
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(+.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(+.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(+.f64 0 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))
(+.f64 (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2) (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2)) (-.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(/.f64 (*.f64 (fma.f64 -1/64 (pow.f64 x 3) 1/8) (*.f64 x (+.f64 x 2))) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (fma.f64 -1/64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 1)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (exp.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))
(fma.f64 x (*.f64 (+.f64 x 2) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (+.f64 x 2) (*.f64 x 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 -1/4 (*.f64 x (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 1 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 1 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (*.f64 (cbrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) 2) (cbrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 1/2 x) (+.f64 x 2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 (*.f64 x -1/4) x) (+.f64 x 2) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) x) -1/4 (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 1/2 (+.f64 x 2)) x (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1/4) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/16))) (cbrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
Outputs
x
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(*.f64 -1/4 (pow.f64 x 3))
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 -1/4 (pow.f64 x 3)) x)
(fma.f64 -1/4 (pow.f64 x 3) x)
(+.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 0 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1) (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))) 1)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 3) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2) (*.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (+.f64 x 2)) 3) (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2)))) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (+.f64 x 2)) 2) (-.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2)))) 2) (*.f64 (*.f64 (*.f64 x 1/2) (+.f64 x 2)) (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 3) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 2) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)) (*.f64 x (fma.f64 x 1/2 1))))))
(/.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (fma.f64 (pow.f64 x 3) -1/64 1/8)) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)) (*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 -1/2))) (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 2)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 2) (pow.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 2)) (-.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x 1/2) (+.f64 x 2)) 2) (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2)))) 2)) (-.f64 (*.f64 (*.f64 x 1/2) (+.f64 x 2)) (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 x 1/2 1)) 2) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)) 2)) (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/2 (*.f64 x -1/4))))
(/.f64 (*.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2) (fma.f64 x (*.f64 x -1/16) 1/4)) (*.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x 1/4 1/2)))
(/.f64 (*.f64 (+.f64 8 (pow.f64 x 3)) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (*.f64 x (fma.f64 x -1/4 1/2))) (-.f64 (fma.f64 x x 4) (*.f64 x 2)))
(/.f64 (+.f64 (pow.f64 x 3) 8) (/.f64 (+.f64 (fma.f64 x x 4) (*.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2))))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (+.f64 (pow.f64 x 3) 8) (fma.f64 x -2 (fma.f64 x x 4))))
(/.f64 (*.f64 (fma.f64 x x -4) (*.f64 x (fma.f64 x -1/4 1/2))) (+.f64 x -2))
(/.f64 (fma.f64 x x -4) (/.f64 (+.f64 x -2) (*.f64 x (fma.f64 x -1/4 1/2))))
(*.f64 (/.f64 (fma.f64 x x -4) (+.f64 x -2)) (*.f64 x (fma.f64 x -1/4 1/2)))
(*.f64 (*.f64 x (fma.f64 x -1/4 1/2)) (/.f64 (fma.f64 x x -4) (+.f64 x -2)))
(/.f64 (*.f64 (fma.f64 -1/64 (pow.f64 x 3) 1/8) (*.f64 x (+.f64 x 2))) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4) (fma.f64 -1/64 (pow.f64 x 3) 1/8)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) (fma.f64 -1/64 (pow.f64 x 3) 1/8))
(*.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) (/.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)) 1/4) (+.f64 x 2))))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (-.f64 1/4 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 x 1/4 1/2) (-.f64 1/4 (*.f64 x (*.f64 x 1/16)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x 1/4 1/2) (fma.f64 x (*.f64 x -1/16) 1/4))) (+.f64 x 2))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (fma.f64 -1/64 (pow.f64 x 3) 1/8)) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4) (fma.f64 -1/64 (pow.f64 x 3) 1/8)))
(*.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 (*.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) (fma.f64 -1/64 (pow.f64 x 3) 1/8))
(*.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) (/.f64 x (/.f64 (fma.f64 -1/4 (*.f64 x (fma.f64 x -1/4 -1/2)) 1/4) (+.f64 x 2))))
(/.f64 (*.f64 (*.f64 x (+.f64 x 2)) (-.f64 1/4 (*.f64 (*.f64 x x) 1/16))) (+.f64 1/2 (*.f64 1/4 x)))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (+.f64 1/2 (*.f64 x 1/4)) (-.f64 1/4 (*.f64 x (*.f64 x 1/16)))))
(/.f64 (*.f64 x (+.f64 x 2)) (/.f64 (fma.f64 x 1/4 1/2) (-.f64 1/4 (*.f64 x (*.f64 x 1/16)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x 1/4 1/2) (fma.f64 x (*.f64 x -1/16) 1/4))) (+.f64 x 2))
(pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 1)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2) 1/2)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3) 1/3)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 3)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 2)
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 2))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x 2)) (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (exp.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2))) 3))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (+.f64 x 2) (fma.f64 x -1/4 1/2)))) 1))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 (+.f64 x 2) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 (+.f64 x 2) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (+.f64 x 2) (*.f64 x 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (+.f64 x 2) (*.f64 x (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 x (+.f64 x 2)) 1/2 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 x (+.f64 x 2)) (*.f64 x -1/4) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 1/2 (*.f64 x (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 -1/4 (*.f64 x (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 1 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 1 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/16)) (*.f64 (cbrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 x -1/4))) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (*.f64 x (*.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x -1/4)))) (*.f64 x (fma.f64 x 1/2 1)))
(*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/2 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (cbrt.f64 (*.f64 x -1/4)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 1/2 (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 1/2 (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)))
(fma.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (*.f64 x -1/4) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (fma.f64 x 1/2 1)))
(*.f64 x (+.f64 (fma.f64 x 1/2 1) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 -1/4 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))
(fma.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 (sqrt.f64 (*.f64 x -1/4)) (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1/2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2)) 1 (*.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))) 1))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) 2) (cbrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) 2) (cbrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (sqrt.f64 (*.f64 (*.f64 1/2 x) (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (sqrt.f64 (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2))))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 1/2 x) (+.f64 x 2) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x -1/4) x) (+.f64 x 2) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) x) -1/4 (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 1/2 (+.f64 x 2)) x (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 1/2 (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 x (*.f64 x (*.f64 -1/4 (+.f64 x 2)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 1/2 (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)))
(fma.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x x) (fma.f64 x -1/4 -1/2)))
(fma.f64 (*.f64 1/2 (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (*.f64 -1/4 (*.f64 x (+.f64 x 2)))))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) -1/4) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 (*.f64 x x) 1/16))) (cbrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (*.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (*.f64 x -1/4))) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (*.f64 x (*.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x -1/4)))) (*.f64 x (fma.f64 x 1/2 1)))
(*.f64 (*.f64 x (+.f64 x 2)) (+.f64 1/2 (*.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/16))) (cbrt.f64 (*.f64 x -1/4)))))
(fma.f64 (*.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (*.f64 x -1/4))) (sqrt.f64 (*.f64 x -1/4)) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (+.f64 x 2)) x (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2)) (*.f64 (*.f64 x -1/4) (cbrt.f64 (*.f64 x (+.f64 x 2)))) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(fma.f64 (*.f64 (*.f64 x -1/4) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))) (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 x (fma.f64 x 1/2 1)))
(*.f64 x (+.f64 (fma.f64 x 1/2 1) (*.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 -1/4 (cbrt.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 2))))))
(fma.f64 (*.f64 (*.f64 x -1/4) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))) (*.f64 (*.f64 1/2 x) (+.f64 x 2)))
(fma.f64 (*.f64 x -1/4) (*.f64 x (+.f64 x 2)) (*.f64 (*.f64 x 1/2) (+.f64 x 2)))
(*.f64 (+.f64 x 2) (*.f64 x (fma.f64 x -1/4 1/2)))

eval111.0ms (2.4%)

Compiler

Compiled 5610 to 3757 computations (33% saved)

prune76.0ms (1.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New4206426
Fresh022
Picked011
Done459
Total42414438
Error
0b
Counts
438 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
28.2b
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
✓33.0b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.5b
(-.f64 (+.f64 x 1) 1)
60.6b
(-.f64 2 (/.f64 4 x))
✓27.6b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓27.9b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
✓59.5b
(+.f64 1 (+.f64 x -1))
61.0b
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 x -1/4)))
27.7b
(*.f64 (+.f64 x x) (+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1)))
✓28.2b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
25.9b
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
26.7b
x
59.7b
2
48.5b
-1
Compiler

Compiled 141 to 115 computations (18.4% saved)

regimes175.0ms (3.8%)

Counts
21 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x x) (+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
-1
Calls

7 calls:

85.0ms
y
30.0ms
(*.f64 -2 x)
29.0ms
x
6.0ms
(exp.f64 (*.f64 -2 x))
6.0ms
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Results
ErrorSegmentsBranch
0b3x
19.4b9y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
Compiler

Compiled 221 to 165 computations (25.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0005293219766240195
2000.2288365353504
0.0ms
-6059830.672908994
-0.00048558867926711707
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes169.0ms (3.7%)

Counts
20 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x x) (+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
-1
Calls

7 calls:

84.0ms
y
29.0ms
(*.f64 -2 x)
28.0ms
x
6.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
6.0ms
(exp.f64 (*.f64 -2 x))
Results
ErrorSegmentsBranch
0.0b3x
19.4b9y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0.0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0.0b3(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
Compiler

Compiled 208 to 155 computations (25.5% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0005293219766240195
2000.2288365353504
0.0ms
-6059830.672908994
-0.00048558867926711707
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes65.0ms (1.4%)

Counts
19 → 2
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
(-.f64 2 (/.f64 4 x))
(-.f64 (+.f64 x 1) 1)
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 x (*.f64 x (/.f64 1 x)))
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 (+.f64 x x) (/.f64 1 (+.f64 x 2)))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 x -2))) 1)
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 x -1/4)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 x x) (+.f64 1 (-.f64 (/.f64 1 (+.f64 x 2)) 1)))
(*.f64 (-.f64 (+.f64 1 (*.f64 x (+.f64 x 2))) 1) (+.f64 1/2 (*.f64 x -1/4)))
(/.f64 (*.f64 (-.f64 1/4 (*.f64 (*.f64 x x) 1/16)) (*.f64 x (+.f64 x 2))) (+.f64 1/2 (*.f64 1/4 x)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
Outputs
-1
(*.f64 x (/.f64 -2 (-.f64 -2 x)))
Calls

2 calls:

42.0ms
y
18.0ms
x
Results
ErrorSegmentsBranch
12.1b2x
23.6b5y
Compiler

Compiled 157 to 110 computations (29.9% saved)

bsearch18.0ms (0.4%)

Algorithm
1×binary-search
Steps
TimeLeftRight
18.0ms
-1000.1144182676752
-0.00026466098831200976
Results
16.0ms144×body256valid
Compiler

Compiled 143 to 123 computations (14% saved)

regimes31.0ms (0.7%)

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

2 calls:

15.0ms
x
15.0ms
y
Results
ErrorSegmentsBranch
11.7b3x
25.6b3y
Compiler

Compiled 40 to 28 computations (30% saved)

bsearch37.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.00024279433963355853
3029915.336454497
17.0ms
-1000.1144182676752
-0.00026466098831200976
Results
33.0ms304×body256valid
Compiler

Compiled 209 to 178 computations (14.8% saved)

regimes23.0ms (0.5%)

Counts
4 → 3
Calls
Call 1
Inputs
-1
2
x
(+.f64 1 (+.f64 x -1))
Outputs
-1
x
2
Calls

2 calls:

11.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
11.7b3x
25.6b3y
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch36.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.00024279433963355853
3029915.336454497
17.0ms
-1000.1144182676752
-0.00026466098831200976
Results
33.0ms304×body256valid
Compiler

Compiled 169 to 148 computations (12.4% saved)

regimes11.0ms (0.2%)

Accuracy

Total -17.3b remaining (-38.1%)

Threshold costs -17.3b (-38.1%)

Counts
2 → 2
Calls
Call 1
Inputs
-1
2
Outputs
-1
2
Calls

2 calls:

7.0ms
x
3.0ms
y
Results
ErrorSegmentsBranch
45.4b2x
48.5b1y
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch56.0ms (1.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
56.0ms
-1.6738155514878769e-304
6.7145067042260704e-307
Results
54.0ms144×body2048valid
Compiler

Compiled 89 to 87 computations (2.2% saved)

simplify8.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
051159
167159
277159
381159
483159
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -5000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (*.f64 -2 x) -5000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 x (/.f64 -2 (-.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2871044762448691/1125899906842624) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Outputs
(if (<=.f64 (*.f64 -2 x) -5000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (*.f64 -2 x) -5000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))) -1))
(if (<=.f64 (*.f64 -2 x) -5000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -5000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 1152921504606847/1152921504606846976) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 x -5944751508129055/9007199254740992) -1 (*.f64 x (/.f64 -2 (-.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2871044762448691/1125899906842624) x (-.f64 2 (/.f64 4 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 2) x 2))
(if (<=.f64 x 2226424786380417/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) -1 2)
-1
Compiler

Compiled 125 to 103 computations (17.6% saved)

soundness88.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
720×fma-def_binary64
511×fma-neg_binary64
350×unswap-sqr_binary64
266×distribute-rgt-in_binary64
244×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03473094
17732965
221682959
377892959
Stop Event
1×node limit
Compiler

Compiled 14 to 12 computations (14.3% saved)

end72.0ms (1.6%)

Compiler

Compiled 113 to 91 computations (19.5% saved)

Profiling

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