Details

Time bar (total: 5.6s)

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 (29.3%)

Results
719.0ms2004×body1024valid
597.0ms5042×body256valid
219.0ms987×body512valid
100.0ms223×body2048valid
Bogosity

preprocess76.0ms (1.3%)

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)

simplify69.0ms (1.2%)

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 → 2
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 22 to 20 computations (9.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
28.7b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.7b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (exp.f64 (*.f64 -2 x)))
✓0.0b
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
✓2.3b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
Compiler

Compiled 37 to 31 computations (16.2% saved)

series5.0ms (0.1%)

Counts
3 → 20
Calls

9 calls:

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

rewrite79.0ms (1.4%)

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 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
(+.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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-1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 1 (pow.f64 (exp.f64 x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log1p.f64 1) (log1p.f64 (pow.f64 (exp.f64 x) -2)))) 2))))) (#(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)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) (hypot.f64 1 (pow.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (fma.f64 (pow.f64 (exp.f64 x) -2) (expm1.f64 (*.f64 -2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 x) -6)) (+.f64 (pow.f64 (exp.f64 x) -4) (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4)) (-.f64 1 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -4))) (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (+.f64 x x) -2)) (expm1.f64 (*.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) -2)) (-.f64 1 (pow.f64 (exp.f64 x) -4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))) (sqrt.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 (exp.f64 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (log1p.f64 (pow.f64 (exp.f64 x) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (pow.f64 (exp.f64 x) -2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -2)) (cbrt.f64 (pow.f64 (exp.f64 x) -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -4)) (cbrt.f64 (pow.f64 (exp.f64 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) -1) (pow.f64 (exp.f64 x) -1) 1)))))

simplify56.0ms (1%)

Algorithm
1×egg-herbie
Rules
972×fma-def_binary64
612×associate-*l/_binary64
548×associate-*r/_binary64
491×associate-/l/_binary64
451×unswap-sqr_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041243
1112239
2261237
3737231
41648228
52839228
64167228
Stop Event
1×node limit
Counts
166 → 168
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)
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)))))
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)))))
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)))
(fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 -17/315 (pow.f64 x 7) x)))
(-.f64 (*.f64 2 (/.f64 1 (+.f64 1 (exp.f64 (*.f64 -2 x))))) 1)
(+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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 (exp.f64 (*.f64 x -2)))) -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)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x)) 1)
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) x) (fma.f64 2/15 (pow.f64 x 5) 1))
(+.f64 x (fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) 1)))
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 (*.f64 2 (fma.f64 x x 1)))
(fma.f64 x (fma.f64 x 2 -2) 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 x -2 (*.f64 (pow.f64 x 3) -4/3)) (fma.f64 2 (*.f64 x x) 2))
(fma.f64 x (*.f64 x 2) (fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x -2 2)))
(fma.f64 (pow.f64 x 3) -4/3 (fma.f64 x (fma.f64 x 2 -2) 2))
(fma.f64 x (fma.f64 x (fma.f64 x -4/3 2) -2) 2)

eval71.0ms (1.3%)

Compiler

Compiled 2693 to 2214 computations (17.8% saved)

prune29.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1626168
Fresh000
Picked011
Done000
Total1627169
Error
0.0b
Counts
169 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓28.7b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶46.1b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
▶32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
▶32.5b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
31.1b
x
▶59.6b
(-.f64 (+.f64 x 1) 1)
▶61.3b
(-.f64 1 1)
Compiler

Compiled 109 to 93 computations (14.7% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 2/15 (pow.f64 x 5))
✓0.1b
(*.f64 -1/3 (pow.f64 x 3))
✓18.9b
(+.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)

series7.0ms (0.1%)

Counts
3 → 10
Calls

9 calls:

TimeVariablePointExpression
2.0ms
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 -1/3 (pow.f64 x 3))
1.0ms
x
@0
(*.f64 2/15 (pow.f64 x 5))
0.0ms
x
@inf
(*.f64 -1/3 (pow.f64 x 3))

rewrite84.0ms (1.5%)

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
01229
127929
2351729
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
(*.f64 -1/3 (pow.f64 x 3))
(*.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 (exp.f64 2/15) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.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 expm1.f64 (log1p.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 log1p.f64 (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 exp.f64 (log.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 exp.f64 (*.f64 (log.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 fma.f64 -1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (*.f64 x x) -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (pow.f64 x 3)) 1 (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/15 (pow.f64 x 5) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5) 2/15 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2/15 (pow.f64 x 5)) 1 (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 2/15 (pow.f64 x 5) x) 1 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 x 3)) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2/15 (pow.f64 x 5)) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 2/15 (pow.f64 x 5) x) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/3) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 x) (*.f64 x x) (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/3 (*.f64 x x)) x (fma.f64 2/15 (pow.f64 x 5) x))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (pow.f64 x 6) 1/9) 1/2)))) (#(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 pow.f64 (*.f64 (pow.f64 x 9) -1/27) 1/3)))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 9) -1/27))))) (#(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 (fma.f64 3 (log.f64 x) (log1p.f64 -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 x) (log1p.f64 -4/3)) 1))))))
((#(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))))))

simplify153.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
710×cube-prod_binary64
680×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014119
136111
272111
3161111
4303111
5760111
61149111
71795111
81903111
92065111
102278111
112608111
123064111
133663111
144417111
155347111
165853111
176343111
186743111
197067111
207227111
Stop Event
1×node limit
Counts
131 → 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))))
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))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) 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))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) 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))
(fma.f64 2/15 (pow.f64 x 5) (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))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) 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))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (fma.f64 -1/3 (pow.f64 x 3) 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))
(fma.f64 2/15 (pow.f64 x 5) (fma.f64 -1/3 (pow.f64 x 3) x))

localize3.0ms (0.1%)

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.5b
(-.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)

rewrite48.0ms (0.9%)

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)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
53 → 42
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
✓2.5b
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
Compiler

Compiled 30 to 25 computations (16.7% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite74.0ms (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 -2 x))) 1)
(/.f64 2 (+.f64 2 (*.f64 -2 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -2 x 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (fma.f64 -2 x 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 -2 x 2)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))) (sqrt.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (fma.f64 -2 x 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (fma.f64 -2 x 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 8 (pow.f64 (fma.f64 -2 x 2) -3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -2 x 2) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 2 (fma.f64 -2 x 2))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) 2) (cbrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) (sqrt.f64 (+.f64 (/.f64 2 (fma.f64 -2 x 2)) 1)) -1)))))

simplify53.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
774×fma-neg_binary64
535×associate-*l*_binary64
445×fma-def_binary64
443×associate-*r*_binary64
425×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038333
1112299
2345290
31021289
42833289
Stop Event
1×node limit
Counts
148 → 152
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)))))
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 (fma.f64 x x x) (pow.f64 x 3))
(fma.f64 x (fma.f64 x 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 (fma.f64 x x x) (pow.f64 x 3)) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.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 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(-.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 x) (/.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 (-.f64 -1 (/.f64 1 x)) (/.f64 -1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 1 x)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 -1 (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
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 x (fma.f64 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 (fma.f64 x x x) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 x (fma.f64 x x x) x) 1)
(*.f64 (+.f64 x 1) (fma.f64 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 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 (/.f64 (/.f64 -1 x) x) (/.f64 -1 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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.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 (*.f64 x x)) (/.f64 -1 x))
(+.f64 (/.f64 (/.f64 -1 x) x) (/.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 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 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 (/.f64 (/.f64 -1 x) x) (/.f64 -1 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 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 3)))
(+.f64 (/.f64 -1 x) (+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))

localize9.0ms (0.2%)

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)

eval143.0ms (2.5%)

Compiler

Compiled 5137 to 4204 computations (18.2% saved)

prune58.0ms (1%)

Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New3337340
Fresh101
Picked011
Done145
Total33512347
Error
0b
Counts
347 → 12
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
31.1b
x
✓28.7b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
▶46.9b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
▶59.7b
(+.f64 1 (+.f64 x -1))
✓59.6b
(-.f64 (+.f64 x 1) 1)
47.0b
-1
▶31.8b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
▶31.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
✓32.5b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶32.2b
(fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)
✓61.3b
(-.f64 1 1)
Compiler

Compiled 172 to 138 computations (19.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (+.f64 x 2) x)
✓0.0b
(/.f64 1 (+.f64 x 2))
✓14.7b
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
Compiler

Compiled 29 to 21 computations (27.6% saved)

series5.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite77.0ms (1.4%)

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))))))))

simplify62.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
790×distribute-neg-frac_binary64
787×fma-def_binary64
714×associate-*r*_binary64
415×times-frac_binary64
285×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035279
197264
2244264
3668258
41987255
56993255
Stop Event
1×node limit
Counts
105 → 90
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))
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 -1/4 (fma.f64 x (*.f64 x 1/8) 1/2))
(fma.f64 x (fma.f64 x 1/8 -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)))
(fma.f64 x (*.f64 x (fma.f64 x -1/16 1/8)) (fma.f64 x -1/4 1/2))
(fma.f64 x (fma.f64 x (fma.f64 x -1/16 1/8) -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 (/.f64 2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 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 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 4 x) 2)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 4 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 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2 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 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 4 (/.f64 -8 x))))
(/.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 (/.f64 2 x) x))
(+.f64 (/.f64 1 x) (/.f64 -2 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 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 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (/.f64 (/.f64 -2 x) x)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 4 x) 2)))
(+.f64 (/.f64 1 x) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 4 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 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 8 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 2 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 1 x) (+.f64 (/.f64 4 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 -2 x) x) (/.f64 -8 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -2 x) x)) (*.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 4 (/.f64 -8 x))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))
(+.f64 (*.f64 2 x) (pow.f64 x 2))
(fma.f64 2 x (*.f64 x x))
(*.f64 x (+.f64 x 2))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓2.5b
(+.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))

rewrite63.0ms (1.1%)

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)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
44 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓29.8b
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.9%)

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)))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
58 → 47
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize23.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x 2) x)
✓0.2b
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
✓14.7b
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite71.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
882×pow1_binary64
830×add-log-exp_binary64
829×log1p-expm1-u_binary64
829×expm1-log1p-u_binary64
814×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0829
11805
225665
Stop Event
1×node limit
Counts
2 → 81
Calls
Call 1
Inputs
(/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 2) (/.f64 (pow.f64 x -1) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -1)) (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (*.f64 (cbrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 (sqrt.f64 (+.f64 x 2)) (/.f64 (pow.f64 x -1) (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2 (neg.f64 x)) (/.f64 1 (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) 1) (/.f64 (sqrt.f64 (+.f64 x 2)) (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) x) (/.f64 (cbrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) x) (/.f64 (sqrt.f64 (+.f64 x 2)) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (+.f64 x 2)) (/.f64 (cbrt.f64 (+.f64 x 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (/.f64 (sqrt.f64 (+.f64 x 2)) (cbrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (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 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (/.f64 (cbrt.f64 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 2) (*.f64 x (+.f64 -2 (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 2) 3) (pow.f64 (*.f64 x (+.f64 x 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 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 (*.f64 x (+.f64 x 2)) (/.f64 1 (+.f64 x 2)))))) (#(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 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (/.f64 (pow.f64 x -1) (+.f64 x 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (pow.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (sqrt.f64 x)) -1) (pow.f64 (/.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (*.f64 x (+.f64 x 2)) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 2))) (/.f64 (*.f64 x (+.f64 x 2)) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))) (/.f64 x (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) 1) (/.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) 1) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (+.f64 x 2) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (pow.f64 (cbrt.f64 (+.f64 x 2)) 2)) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (cbrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x 2))) (/.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2) (sqrt.f64 (+.f64 x 2))) (/.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))) (/.f64 (sqrt.f64 (*.f64 x (+.f64 x 2))) (sqrt.f64 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -2 (neg.f64 x))) (*.f64 x (+.f64 -2 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (+.f64 8 (pow.f64 x 3))) (fma.f64 x x (-.f64 4 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 x 2)) (fma.f64 x x -4)) (+.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) x) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (+.f64 x 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) 1) (*.f64 x (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 x 2))) 2)) (cbrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (+.f64 x 2)) (sqrt.f64 (*.f64 x (+.f64 x 2)))) (sqrt.f64 (*.f64 x (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1) -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 cbrt.f64 (/.f64 (pow.f64 (*.f64 x (+.f64 x 2)) 3) (pow.f64 (+.f64 x 2) 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))))))

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0460
1660
Stop Event
1×saturated
Counts
105 → 83
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)
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
(/.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)
x
x
x
x
x
x
x
x
x
x
x
x

localize24.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 2/15 (pow.f64 x 5))
✓18.9b
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
Compiler

Compiled 42 to 33 computations (21.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite72.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
866×pow1_binary64
817×add-log-exp_binary64
817×log1p-expm1-u_binary64
817×expm1-log1p-u_binary64
801×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
121714
2223814
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/3 (pow.f64 x 3)) 1) (*.f64 2/15 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) (pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/3 (pow.f64 x 3)) 3) (pow.f64 (*.f64 2/15 (pow.f64 x 5)) 3)) (+.f64 (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3))) (-.f64 (*.f64 (pow.f64 x 10) 4/225) (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 -1/3 (pow.f64 x 3))) (*.f64 (pow.f64 x 10) 4/225)) (-.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))))))))

simplify156.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
1204×sqr-pow_binary64
708×cube-prod_binary64
681×fabs-mul_binary64
660×pow-sqr_binary64
416×unswap-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011147
127147
256147
3111147
4229147
5671147
6981147
71617147
81725147
91887147
102100147
112430147
122886147
133484147
144237147
155173147
165683147
176171147
186569147
196889147
207051147
Stop Event
1×node limit
Counts
33 → 24
Calls
Call 1
Inputs
(*.f64 -1/3 (pow.f64 x 3))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.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 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 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.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 2/15 (pow.f64 x 5)))
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5)))
Outputs
(*.f64 -1/3 (pow.f64 x 3))
(+.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 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 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.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)))
(fma.f64 -1/3 (pow.f64 x 3) (*.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 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.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)))
(fma.f64 -1/3 (pow.f64 x 3) (*.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 2/15 (pow.f64 x 5)))
(fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))

eval100.0ms (1.8%)

Compiler

Compiled 4041 to 3022 computations (25.2% saved)

prune54.0ms (1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New3127319
Fresh022
Picked101
Done369
Total31615331
Error
0b
Counts
331 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x)
32.7b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
▶31.2b
(/.f64 1 (/.f64 1 x))
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
31.1b
x
▶29.9b
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
✓28.7b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
✓59.7b
(+.f64 1 (+.f64 x -1))
✓59.6b
(-.f64 (+.f64 x 1) 1)
▶47.0b
(*.f64 (/.f64 1 x) (*.f64 x x))
✓32.5b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
▶31.2b
(*.f64 x (*.f64 x (/.f64 1 x)))
47.0b
-1
✓61.3b
(-.f64 1 1)
▶46.9b
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
Compiler

Compiled 209 to 164 computations (21.5% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 19 computations (24% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
854×pow1_binary64
798×add-log-exp_binary64
797×log1p-expm1-u_binary64
797×expm1-log1p-u_binary64
784×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
117410
2221810
Stop Event
1×node limit
Counts
1 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 2 (+.f64 x 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 (+.f64 x 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 x 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 2) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x 2) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 x 2)) 2) (/.f64 (+.f64 x 2) (cbrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 x 2)) (/.f64 (+.f64 x 2) (sqrt.f64 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) (sqrt.f64 (+.f64 x 2))) (sqrt.f64 (+.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 2) 1) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.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 -1 (*.f64 x 2)) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x 2) -1) (+.f64 -2 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 2 (+.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 2 (+.f64 x 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 2) 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 (/.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 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 2 (+.f64 x 2)))))))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
805×unswap-sqr_binary64
798×distribute-neg-frac_binary64
531×associate-/r*_binary64
368×fma-def_binary64
334×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033144
195144
2236144
3662138
42155138
56078138
Stop Event
1×node limit
Counts
38 → 40
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))))
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 x (fma.f64 x -1/2 1))
(+.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))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) 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)))
(fma.f64 (*.f64 x x) (fma.f64 x 1/4 -1/2) (fma.f64 -1/8 (pow.f64 x 4) x))
(fma.f64 x (*.f64 x (fma.f64 x 1/4 -1/2)) (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 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 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 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 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 2 (+.f64 (/.f64 8 (*.f64 x x)) (/.f64 -4 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 2 (-.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 4 x) (/.f64 16 (pow.f64 x 3)))))
(+.f64 2 (+.f64 (/.f64 8 (*.f64 x x)) (+.f64 (/.f64 -4 x) (/.f64 -16 (pow.f64 x 3)))))
(+.f64 (/.f64 8 (*.f64 x x)) (-.f64 (/.f64 -16 (pow.f64 x 3)) (+.f64 (/.f64 4 x) -2)))
(+.f64 (-.f64 2 (/.f64 4 x)) (*.f64 (/.f64 (/.f64 1 x) x) (-.f64 8 (/.f64 16 x))))
(+.f64 (+.f64 2 (/.f64 -4 x)) (*.f64 (/.f64 1 (*.f64 x x)) (+.f64 8 (/.f64 -16 x))))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
348×pow1_binary64
336×add-sqr-sqrt_binary64
328×*-un-lft-identity_binary64
323×add-log-exp_binary64
323×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051
11051
29971
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(/.f64 1 (/.f64 1 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 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (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 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (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 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(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 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (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 -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(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 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 exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
59 → 48
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓29.8b
(/.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))

rewrite47.0ms (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))))))

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×sub-neg_binary64
2×+-commutative_binary64
2×fma-def_binary64
1×*-commutative_binary64
1×associate-+l-_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0436
1636
2836
3936
41136
51536
61936
72436
Stop Event
1×saturated
Counts
93 → 81
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)
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)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(*.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))

rewrite59.0ms (1%)

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)))))

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
1412
Stop Event
1×saturated
Counts
13 → 1
Calls
Call 1
Inputs
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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓30.0b
(*.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))

rewrite44.0ms (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))))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
Stop Event
1×saturated
Counts
42 → 31
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

eval53.0ms (0.9%)

Compiler

Compiled 2153 to 1423 computations (33.9% saved)

prune40.0ms (0.7%)

Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New2325237
Fresh134
Picked101
Done4610
Total23814252
Error
0b
Counts
252 → 14
Alt Table
Click to see full alt table
StatusErrorProgram
32.2b
(fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x)
32.7b
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
✓31.2b
(/.f64 1 (/.f64 1 x))
✓32.5b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) x)
60.1b
(+.f64 2 (/.f64 -4 x))
✓59.7b
(+.f64 1 (+.f64 x -1))
✓59.6b
(-.f64 (+.f64 x 1) 1)
29.9b
(/.f64 2 (/.f64 (+.f64 x 2) x))
31.1b
x
✓32.2b
(+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x))
✓28.7b
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
59.4b
2
59.5b
(*.f64 (*.f64 x 2) (/.f64 1 x))
47.0b
-1
Compiler

Compiled 120 to 99 computations (17.5% saved)

regimes262.0ms (4.7%)

Counts
26 → 3
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.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))
(fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x)
(fma.f64 (fma.f64 -1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))) 1 x)
Outputs
(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
(fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x)
-1
Calls

12 calls:

86.0ms
y
37.0ms
(*.f64 -2 x)
37.0ms
x
37.0ms
(*.f64 -2 x)
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0b3x
20.7b7y
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(+.f64 1 (exp.f64 (*.f64 -2 x)))
0b3(exp.f64 (*.f64 -2 x))
0b3(exp.f64 (*.f64 -2 x))
0b3(*.f64 -2 x)
0b3(*.f64 -2 x)
Compiler

Compiled 270 to 209 computations (22.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.039385678953827e-6
17118616.508056123
0.0ms
-40910790851.27657
-0.005252814979442765
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes257.0ms (4.6%)

Counts
24 → 3
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.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

12 calls:

79.0ms
y
46.0ms
x
37.0ms
(*.f64 -2 x)
34.0ms
(*.f64 -2 x)
7.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.0b3x
20.7b7y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
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 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.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(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 243 to 188 computations (22.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.039385678953827e-6
17118616.508056123
0.0ms
-40910790851.27657
-0.005252814979442765
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes290.0ms (5.2%)

Counts
23 → 3
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
(*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2)))
(/.f64 (-.f64 (*.f64 x x) 0) (-.f64 x 0))
(-.f64 (/.f64 2 (+.f64 2 (*.f64 -2 x))) 1)
(*.f64 (*.f64 (+.f64 x 2) x) (+.f64 1/2 (*.f64 -1/4 x)))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(*.f64 (*.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(+.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

12 calls:

103.0ms
y
49.0ms
x
41.0ms
(*.f64 -2 x)
32.0ms
(*.f64 -2 x)
8.0ms
(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
Results
ErrorSegmentsBranch
0.0b3x
20.7b7y
0.0b3(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
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 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
0.0b3(+.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(exp.f64 (*.f64 -2 x))
0.0b3(*.f64 -2 x)
0.0b3(*.f64 -2 x)
Compiler

Compiled 230 to 178 computations (22.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
9.039385678953827e-6
17118616.508056123
0.0ms
-0.005252814979442765
-0.0005776620303084421
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes180.0ms (3.2%)

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

4 calls:

48.0ms
(*.f64 -2 x)
47.0ms
x
47.0ms
(*.f64 -2 x)
25.0ms
y
Results
ErrorSegmentsBranch
14.6b2x
29.9b1y
14.6b2(*.f64 -2 x)
14.6b2(*.f64 -2 x)
Compiler

Compiled 148 to 105 computations (29.1% saved)

bsearch42.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
42.0ms
-8559308.254028061
-4.5196928394769135e-6
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes60.0ms (1.1%)

Counts
15 → 2
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
(/.f64 2 (/.f64 (+.f64 x 2) x))
(*.f64 (*.f64 x 2) (/.f64 1 x))
(*.f64 (/.f64 1 x) (*.f64 x x))
(*.f64 x (*.f64 x (/.f64 1 x)))
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 x)))
Outputs
-1
(/.f64 2 (/.f64 (+.f64 x 2) x))
Calls

2 calls:

34.0ms
x
19.0ms
y
Results
ErrorSegmentsBranch
14.7b2x
29.9b1y
Compiler

Compiled 71 to 48 computations (32.4% saved)

bsearch41.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
-8559308.254028061
-4.5196928394769135e-6
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes56.0ms (1%)

Counts
10 → 3
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
(+.f64 2 (/.f64 -4 x))
(/.f64 1 (/.f64 1 x))
(+.f64 1 (+.f64 x -1))
(-.f64 (+.f64 x 1) 1)
Outputs
-1
x
(+.f64 2 (/.f64 -4 x))
Calls

2 calls:

38.0ms
x
13.0ms
y
Results
ErrorSegmentsBranch
14.1b3x
31.1b1y
Compiler

Compiled 36 to 27 computations (25% saved)

bsearch82.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
41.0ms
0.0026264074897213827
20455395425.638287
41.0ms
-8559308.254028061
-4.5196928394769135e-6
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes44.0ms (0.8%)

Counts
6 → 3
Calls
Call 1
Inputs
x
2
x
-1
x
(-.f64 1 1)
Outputs
-1
x
2
Calls

2 calls:

30.0ms
x
11.0ms
y
Results
ErrorSegmentsBranch
14.1b3x
31.1b1y
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch83.0ms (1.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
42.0ms
0.0026264074897213827
20455395425.638287
40.0ms
-8559308.254028061
-4.5196928394769135e-6
Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes25.0ms (0.4%)

Accuracy

Total -32.9b remaining (-114.2%)

Threshold costs -32.9b (-114.2%)

Counts
3 → 2
Calls
Call 1
Inputs
x
2
x
Outputs
x
2
Calls

2 calls:

15.0ms
x
8.0ms
y
Results
ErrorSegmentsBranch
28.8b2x
31.1b1y
Compiler

Compiled 11 to 7 computations (36.4% saved)

bsearch41.0ms (0.7%)

Algorithm
1×binary-search
Steps
TimeLeftRight
40.0ms
0.0026264074897213827
20455395425.638287
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify23.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
5×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056233
172233
273233
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 -2 x) -40000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x) -1))
(if (<=.f64 (*.f64 -2 x) -40000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/1152921504606846976) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 x -4595243628429173/536870912) -1 (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -4595243628429173/536870912) -1 (/.f64 2 (/.f64 (+.f64 x 2) x)))
(if (<=.f64 x -4595243628429173/536870912) -1 (if (<=.f64 x 6056083349520537/2305843009213693952) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -4595243628429173/536870912) -1 (if (<=.f64 x 6056083349520537/2305843009213693952) x 2))
(if (<=.f64 x 6056083349520537/2305843009213693952) x 2)
x
Outputs
(if (<=.f64 (*.f64 -2 x) -40000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x) -1))
(if (<=.f64 (*.f64 -2 x) -40000000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (fma.f64 (+.f64 (*.f64 2/15 (pow.f64 x 5)) (*.f64 -1/3 (pow.f64 x 3))) 1 x) -1))
(if (<=.f64 (*.f64 -2 x) -40000000000) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 (*.f64 2/15 (pow.f64 x 5)) x)) -1))
(if (<=.f64 (*.f64 -2 x) -40000000000) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (+.f64 x (*.f64 2/15 (pow.f64 x 5)))) -1))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/1152921504606846976) (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) x) -1))
(if (<=.f64 (*.f64 -2 x) -5764607523034235/1152921504606846976) (+.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) -1) (if (<=.f64 (*.f64 -2 x) 5902958103587057/590295810358705651712) (+.f64 x (*.f64 -1/3 (pow.f64 x 3))) -1))
(if (<=.f64 x -4595243628429173/536870912) -1 (*.f64 (*.f64 x 2) (/.f64 1 (+.f64 x 2))))
(if (<=.f64 x -4595243628429173/536870912) -1 (/.f64 2 (/.f64 (+.f64 x 2) x)))
(if (<=.f64 x -4595243628429173/536870912) -1 (if (<=.f64 x 6056083349520537/2305843009213693952) x (+.f64 2 (/.f64 -4 x))))
(if (<=.f64 x -4595243628429173/536870912) -1 (if (<=.f64 x 6056083349520537/2305843009213693952) x 2))
(if (<=.f64 x 6056083349520537/2305843009213693952) x 2)
x
Compiler

Compiled 180 to 147 computations (18.3% saved)

soundness0.0ms (0%)

end112.0ms (2%)

Compiler

Compiled 164 to 131 computations (20.1% saved)

Profiling

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