Details

Time bar (total: 5.7s)

analyze8.0ms (0.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
50%50%50%0%0%0%0%4
75%75%25%0%0%0%0%5
87.5%87.5%12.5%0%0%0%0%6
93.8%93.7%6.2%0%0%0%0%7
96.9%96.8%3.1%0%0%0%0%8
98.4%98.4%1.6%0%0%0%0%9
99.2%99.2%0.8%0%0%0%0%10
99.6%99.6%0.4%0%0%0%0%11
99.8%99.8%0.2%0%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample1.3s (22.9%)

Results
1.3s8256×body256valid
Bogosity

preprocess29.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify11.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
3×+-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))

eval1.0ms (0%)

Compiler

Compiled 23 to 17 computations (26.1% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 12 to 9 computations (25% saved)

localize66.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiled 30 to 21 computations (30% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite101.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
489×fma-def_binary64
464×log-prod_binary64
365×pow-prod-down_binary64
250×pow2_binary64
249×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119330
2315730
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 1 (-.f64 x 1))
(/.f64 x (+.f64 x 1))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 2) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) (sqrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -2) (/.f64 x (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 x (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 1 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 x) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 1 x)) 2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 1 x))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 x)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 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1) x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (/.f64 1 (+.f64 x -1)))))))

simplify78.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
467×unswap-sqr_binary64
465×fma-neg_binary64
402×associate-*l*_binary64
388×sub-neg_binary64
336×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059485
1180466
2500456
31518450
45523450
Stop Event
1×node limit
Counts
200 → 204
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.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)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3)))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(fma.f64 (*.f64 x x) (+.f64 -1 x) x)
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(+.f64 (+.f64 x (pow.f64 x 3)) (neg.f64 (fma.f64 x x (pow.f64 x 4))))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.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 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 1 (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.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 1 (*.f64 x x)) (-.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 (*.f64 x x) -2 -1)
(fma.f64 x (*.f64 x -2) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))

eval156.0ms (2.7%)

Compiler

Compiled 3450 to 2590 computations (24.9% saved)

prune53.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1995204
Fresh000
Picked011
Done000
Total1996205
Error
0b
Counts
205 → 6
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.3b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶0.0b
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶17.3b
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (+.f64 x -1)) (+.f64 1 x))
▶32.4b
(+.f64 1 (/.f64 2 (*.f64 x x)))
▶31.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 138 to 99 computations (28.3% saved)

localize41.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiled 52 to 35 computations (32.7% saved)

series10.0ms (0.2%)

Counts
4 → 48
Calls

12 calls:

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

rewrite133.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
613×log-prod_binary64
526×fma-def_binary64
311×pow2_binary64
304×log-div_binary64
298×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01061
123461
2384851
Stop Event
1×node limit
Counts
4 → 224
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x))
(+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1))
(/.f64 (+.f64 1 x) x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -1 -1) (/.f64 1 (neg.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (/.f64 (+.f64 1 x) x)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 (+.f64 1 x) x))) 2) (cbrt.f64 (+.f64 x (/.f64 (+.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 (+.f64 1 x) x))) (sqrt.f64 (+.f64 x (/.f64 (+.f64 1 x) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (/.f64 (+.f64 1 x) x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 x (+.f64 1 x)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))))

simplify63.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
706×times-frac_binary64
645×fma-neg_binary64
422×cancel-sign-sub-inv_binary64
419×associate-/l/_binary64
371×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037371
1101364
2241362
3608362
41964362
56803362
Stop Event
1×node limit
Counts
272 → 246
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 x) x)
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite42.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
491×pow1_binary64
479×add-sqr-sqrt_binary64
458×add-log-exp_binary64
458×log1p-expm1-u_binary64
458×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11087
212977
Stop Event
1×node limit
Counts
1 → 21
Calls
Call 1
Inputs
(/.f64 2 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) (cbrt.f64 (/.f64 4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 4))) (cbrt.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) x) (/.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 2 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (*.f64 x x))))))))

simplify152.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1146×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
553×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0584
11084
21984
33484
47484
522284
683184
7204084
8220684
9239084
10259884
11289784
12329084
13377384
14433984
15502584
16586484
17625684
18654284
19681684
20688884
21692284
Stop Event
1×node limit
Counts
33 → 23
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (pow.f64 x 2))
Outputs
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))
(/.f64 2 (pow.f64 x 2))
(/.f64 2 (*.f64 x x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite54.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
757×pow1_binary64
710×add-log-exp_binary64
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
696×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
113810
2197910
Stop Event
1×node limit
Counts
1 → 33
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (-.f64 x 1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 1 (+.f64 x -1)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1 (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x)) (/.f64 1 (-.f64 (/.f64 1 (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1)))) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) x) (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 x -1) -2) (/.f64 x (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x)) (-.f64 (/.f64 1 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x -1) -3))) (neg.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (*.f64 x x) (/.f64 x (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x -1) -2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 1 (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x -1) -2)) (-.f64 x (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2) x)))))

simplify61.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
631×associate-/l/_binary64
549×distribute-rgt-neg-in_binary64
488×distribute-lft-neg-in_binary64
478×fma-neg_binary64
401×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027146
177140
2219133
3741132
43062132
55786132
Stop Event
1×node limit
Counts
45 → 47
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
x
(+.f64 (/.f64 1 x) x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(neg.f64 (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (neg.f64 (pow.f64 x 3)) (fma.f64 -1 (*.f64 x x) -1))
(fma.f64 -1 (+.f64 (*.f64 x x) (pow.f64 x 3)) -1)
(-.f64 -1 (*.f64 x (fma.f64 x x x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 (pow.f64 x 4)))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x (pow.f64 x 4))) (pow.f64 x 3)))
(fma.f64 -1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)) -1)
(-.f64 -1 (fma.f64 x (fma.f64 x x x) (pow.f64 x 4)))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 x (/.f64 (/.f64 1 x) x)))
(+.f64 x (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))))
x
(+.f64 (/.f64 1 x) x)
(+.f64 x (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x))
(+.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 x (/.f64 (/.f64 1 x) x)))
(+.f64 x (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x)))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 x (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 x (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite85.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
470×fma-def_binary64
413×log-prod_binary64
319×exp-prod_binary64
314×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
118513
2292713
Stop Event
1×node limit
Counts
1 → 92
Calls
Call 1
Inputs
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 x (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (-.f64 -1 x) 2) (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2)) (/.f64 1 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 x (+.f64 x 1)) (-.f64 (/.f64 x (+.f64 x 1)) (-.f64 -1 x)) (pow.f64 (-.f64 -1 x) 2)) (+.f64 (pow.f64 (-.f64 -1 x) 3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (-.f64 (pow.f64 (-.f64 -1 x) 2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))))))) (#(struct:change 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x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 -1 x) (-.f64 -1 x))))))

simplify63.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
446×sub-neg_binary64
345×fma-def_binary64
317×fma-neg_binary64
276×distribute-neg-frac_binary64
230×associate-/r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027158
177145
2195138
3611138
42727136
56663136
Stop Event
1×node limit
Counts
104 → 107
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))) 1)
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
-1
(-.f64 (*.f64 -1 (pow.f64 x 2)) 1)
(fma.f64 -1 (*.f64 x x) -1)
(-.f64 -1 (*.f64 x x))
(fma.f64 x (neg.f64 x) -1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3)) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (pow.f64 x 3)) -1)
(+.f64 -1 (-.f64 (pow.f64 x 3) (*.f64 x x)))
(-.f64 (pow.f64 x 3) (fma.f64 x x 1))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (pow.f64 x 3))) 1)
(+.f64 (fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (pow.f64 x 3))) -1)
(+.f64 -1 (-.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 4)) (*.f64 x x)))
(-.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 4)) (fma.f64 x x 1))
(-.f64 (-.f64 (pow.f64 x 3) (fma.f64 x x 1)) (pow.f64 x 4))
(fma.f64 (*.f64 x x) (-.f64 x (fma.f64 x x 1)) -1)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (neg.f64 x) (/.f64 1 x))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (/.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 x (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 x (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 x (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (/.f64 1 x))
(-.f64 (neg.f64 x) (/.f64 1 x))
(fma.f64 -1 x (/.f64 -1 x))
(-.f64 (/.f64 -1 x) x)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 x (/.f64 -1 x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 x (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 -1 x) x) (/.f64 1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (neg.f64 x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (-.f64 (/.f64 -1 x) x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (/.f64 1 x) x)))
(-.f64 (/.f64 (/.f64 1 x) x) (+.f64 (-.f64 x (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))

localize21.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (+.f64 x -1)) (+.f64 1 x))
✓16.1b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (+.f64 x -1))
Compiler

Compiled 46 to 31 computations (32.6% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite108.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
499×log-prod_binary64
351×pow-prod-down_binary64
291×prod-diff_binary64
283×fma-def_binary64
262×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0940
120140
2302435
Stop Event
1×node limit
Counts
2 → 98
Calls
Call 1
Inputs
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (+.f64 x -1))
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (+.f64 x -1)) (+.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (/.f64 1 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) 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(pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) -2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1))) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (sqrt.f64 (+.f64 x 1))) (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) -2)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1))) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x -1) (+.f64 (fma.f64 x (+.f64 x -1) 1) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 x -1)) 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x (+.f64 x -1) 1) x) (fma.f64 x x -1)))) -1))))))

simplify48.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
985×fma-neg_binary64
793×fma-def_binary64
600×distribute-rgt-out_binary64
507×cancel-sign-sub-inv_binary64
467×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050272
1148263
2365257
31027251
44033251
Stop Event
1×node limit
Counts
122 → 125
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (pow.f64 x 3)))) 1)
x
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) x)))
x
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) x)))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -2 (*.f64 x x) (fma.f64 -1 x -1))
(-.f64 (fma.f64 x (*.f64 x -2) -1) x)
(fma.f64 x (fma.f64 x -2 -1) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (fma.f64 -1 x (*.f64 -2 (pow.f64 x 3)))) -1)
(+.f64 (fma.f64 -2 (pow.f64 x 3) (neg.f64 x)) (fma.f64 -2 (*.f64 x x) -1))
(fma.f64 x (*.f64 x -2) (fma.f64 -2 (pow.f64 x 3) (-.f64 -1 x)))
(*.f64 (+.f64 x 1) (fma.f64 x (*.f64 x -2) -1))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(+.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 x (/.f64 2 (*.f64 x x)))))
(+.f64 1 (+.f64 x (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 1 (+.f64 x (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))))
(+.f64 1 (+.f64 (+.f64 x (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 x (+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
x
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) x))
(+.f64 1 (+.f64 x (/.f64 2 x)))
(+.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 x (/.f64 2 (*.f64 x x)))))
(+.f64 1 (+.f64 x (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 1 (+.f64 x (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x))))
(+.f64 1 (+.f64 (+.f64 x (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 x (+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 x (*.f64 x -2) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (+.f64 (pow.f64 x 4) (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (/.f64 (/.f64 2 x) x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (+.f64 1 (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 4)))
(+.f64 1 (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 2 x) x) (/.f64 2 (pow.f64 x 6)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))

eval428.0ms (7.5%)

Compiler

Compiled 13519 to 9595 computations (29% saved)

prune776.0ms (13.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New6884692
Fresh000
Picked101
Done145
Total6908698
Error
0b
Counts
698 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
31.8b
-1
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
✓31.3b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶0.0b
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
▶0.0b
(/.f64 (+.f64 (/.f64 1 x) x) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
✓32.4b
(+.f64 1 (/.f64 2 (*.f64 x x)))
✓31.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
32.2b
1
Compiler

Compiled 78 to 58 computations (25.6% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 47 to 31 computations (34% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite74.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
649×log-prod_binary64
575×prod-diff_binary64
330×fma-def_binary64
302×log-div_binary64
220×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01129
125429
2397524
Stop Event
1×node limit
Counts
2 → 96
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1 x) x) (*.f64 (+.f64 x -1) (/.f64 (+.f64 1 x) x)))
(+.f64 (/.f64 1 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))) (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (/.f64 (fma.f64 x x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) 2) (cbrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (/.f64 1 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) (sqrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (/.f64 1 (/.f64 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x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (fma.f64 x -1 -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 x (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (/.f64 1 x)) (neg.f64 (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 x (/.f64 1 x)) (fma.f64 x x -1)) x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x -2) (*.f64 x x)) (/.f64 1 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (cosh.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1)) (+.f64 (pow.f64 x -3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1 x) x) (-.f64 (pow.f64 x -2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (+.f64 (pow.f64 x -2) (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3)) (fma.f64 x x (-.f64 (pow.f64 x -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) (*.f64 x x)) (-.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 x -2) (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x -2) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (-.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) x)))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×times-frac_binary64
650×distribute-rgt-neg-in_binary64
638×fma-neg_binary64
427×associate-/l/_binary64
416×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033170
193163
2230161
3585161
41918161
56503161
Stop Event
1×node limit
Counts
111 → 112
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 x)
x
x
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 1 x)
x
x

localize76.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiled 60 to 43 computations (28.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite200.0ms (3.5%)

Algorithm
1×batch-egg-rewrite
Rules
700×fma-def_binary64
368×fma-neg_binary64
364×log-div_binary64
252×expm1-udef_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
128841
2479541
Stop Event
1×node limit
Counts
2 → 131
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
(*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x)))
Outputs
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(+.f64 -1 (/.f64 (+.f64 x -1) x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (pow.f64 x -1/2)) (sqrt.f64 (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 1 (/.f64 1 x))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 x -1))) (exp.f64 (/.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x -1) x)) (exp.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (+.f64 x -1) x)) (+.f64 1 (expm1.f64 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (+.f64 1 (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) (pow.f64 (+.f64 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (+.f64 -1 (/.f64 (+.f64 x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 1 x)) (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 -1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 -1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 1 (/.f64 1 x)) (*.f64 -1 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 1 (/.f64 1 x)) (*.f64 x (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) 1 (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) 1 (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x -1) (/.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 x -1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 x)) x (*.f64 (+.f64 1 (/.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 1 x)) -1 (*.f64 (+.f64 1 (/.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (/.f64 1 (cbrt.f64 x)) (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (+.f64 -1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 -1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (cbrt.f64 (+.f64 x -1)) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) 1) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) 1) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (*.f64 (pow.f64 x -1/2) (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 -1 (/.f64 (+.f64 x -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (+.f64 x -1)) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) 1) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x 1) (neg.f64 x))) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x -1) (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x -1) x)) (cbrt.f64 (/.f64 (+.f64 x -1) x))) (cbrt.f64 (/.f64 (+.f64 x -1) x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x -1) x)) (sqrt.f64 (/.f64 (+.f64 x -1) x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (/.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (*.f64 (/.f64 (+.f64 x -1) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 x -1/2)) (*.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 x -1/2)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x -1))) (*.f64 (pow.f64 x -1/2) (sqrt.f64 (+.f64 x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x -1) (pow.f64 x -1/2)) (pow.f64 x -1/2) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)) (+.f64 x -1))))))

simplify56.0ms (1%)

Algorithm
1×egg-herbie
Rules
706×times-frac_binary64
645×fma-neg_binary64
425×associate-/l/_binary64
422×cancel-sign-sub-inv_binary64
368×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035233
197226
2237224
3598224
41949224
56795224
Stop Event
1×node limit
Counts
155 → 149
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))))
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))

eval346.0ms (6%)

Compiler

Compiled 10981 to 7871 computations (28.3% saved)

prune87.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4792481
Fresh022
Picked101
Done145
Total4818489
Error
0b
Counts
489 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
▶0.0b
(/.f64 (+.f64 (/.f64 1 x) x) (-.f64 x (/.f64 1 x)))
31.8b
-1
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
▶0.0b
(/.f64 (+.f64 (/.f64 1 x) x) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
✓32.4b
(+.f64 1 (/.f64 2 (*.f64 x x)))
✓31.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
32.2b
1
Compiler

Compiled 70 to 52 computations (25.7% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiled 44 to 32 computations (27.3% saved)

series2.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite73.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
748×prod-diff_binary64
562×log-prod_binary64
416×fma-def_binary64
244×log-div_binary64
210×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01029
123329
2366929
Stop Event
1×node limit
Counts
2 → 82
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1 x) x) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
(+.f64 1 (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x))))) (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x -1)) (+.f64 1 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 x -1/2)) (hypot.f64 1 (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 x -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x -2)) (/.f64 1 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))) (+.f64 1 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 x)) (-.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x -2)) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 x -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x -2) (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x -2))) (neg.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x -2) 1) (-.f64 (/.f64 1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 x -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) 1)))))

simplify49.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×times-frac_binary64
650×distribute-rgt-neg-in_binary64
638×fma-neg_binary64
427×associate-/l/_binary64
416×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033170
193163
2230161
3585161
41918161
56503161
Stop Event
1×node limit
Counts
97 → 97
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1 x)
1
1
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 6)))))
(/.f64 1 x)
1
1

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 27 to 17 computations (37% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
984×pow1_binary64
922×add-log-exp_binary64
922×log1p-expm1-u_binary64
922×expm1-log1p-u_binary64
86×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
116416
2252216
Stop Event
1×node limit
Counts
1 → 34
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 1 x) x) (-.f64 x (/.f64 1 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 1 x)) (/.f64 1 (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (*.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (/.f64 1 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) 2) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (*.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (/.f64 1 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) (sqrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) (/.f64 -1 x)) (/.f64 1 (neg.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 x (/.f64 1 x))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (-.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1 x))) 2)) (/.f64 (+.f64 x (/.f64 1 x)) (cbrt.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1 x))) 2)) (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1 x))) 2)) (/.f64 (sqrt.f64 (+.f64 x (/.f64 1 x))) (cbrt.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 x (/.f64 1 x)))) (/.f64 (+.f64 x (/.f64 1 x)) (sqrt.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 2)) (sqrt.f64 (-.f64 x (/.f64 1 x)))) (/.f64 (cbrt.f64 (+.f64 x (/.f64 1 x))) (sqrt.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x (/.f64 1 x)) (neg.f64 (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (/.f64 1 x)) 3) (pow.f64 (-.f64 x (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))))))))

simplify50.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
704×times-frac_binary64
650×distribute-rgt-neg-in_binary64
638×fma-neg_binary64
421×associate-/l/_binary64
416×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032164
192157
2230155
3585155
41914155
56513155
Stop Event
1×node limit
Counts
46 → 48
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 (pow.f64 x 4))) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) (pow.f64 x 4))) -1)
(fma.f64 -2 (fma.f64 x x (pow.f64 x 4)) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 (pow.f64 x 4)) (*.f64 -2 (pow.f64 x 6)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 (pow.f64 x 4) (pow.f64 x 6)))) -1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 6))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 6) (fma.f64 x x (pow.f64 x 4))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 6))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 6))))

eval145.0ms (2.5%)

Compiler

Compiled 6572 to 4796 computations (27% saved)

prune46.0ms (0.8%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New3391340
Fresh112
Picked011
Done055
Total3408348
Error
0b
Counts
348 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.3b
(+.f64 (/.f64 1 (-.f64 x 1)) x)
✓0.0b
(/.f64 (+.f64 (/.f64 1 x) x) (-.f64 x (/.f64 1 x)))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
31.8b
-1
✓0.0b
(/.f64 (+.f64 (/.f64 1 x) x) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
✓32.4b
(+.f64 1 (/.f64 2 (*.f64 x x)))
✓31.3b
(+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1)))
32.2b
1
Compiler

Compiled 70 to 52 computations (25.7% saved)

regimes18.0ms (0.3%)

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

3 calls:

8.0ms
x
3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 159 to 113 computations (28.9% saved)

regimes16.0ms (0.3%)

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

3 calls:

6.0ms
x
3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
0.0b1(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 105 to 75 computations (28.6% saved)

regimes17.0ms (0.3%)

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

1 calls:

15.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch39.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.027639669428479896
614634.9401830038
19.0ms
-5.732353929192063
-0.039895893103919736
Compiler

Compiled 16 to 12 computations (25% saved)

regimes15.0ms (0.3%)

Counts
5 → 3
Calls
Call 1
Inputs
-1
-1
1
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
Outputs
(+.f64 1 (/.f64 2 (*.f64 x x)))
(+.f64 (/.f64 1 (-.f64 x 1)) x)
(+.f64 1 (/.f64 2 (*.f64 x x)))
Calls

1 calls:

13.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch39.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.027639669428479896
614634.9401830038
20.0ms
-5.732353929192063
-0.039895893103919736
Compiler

Compiled 16 to 12 computations (25% saved)

regimes18.0ms (0.3%)

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

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch48.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.027639669428479896
614634.9401830038
30.0ms
-5.732353929192063
-0.039895893103919736
Compiler

Compiled 16 to 12 computations (25% saved)

regimes11.0ms (0.2%)

Counts
3 → 3
Calls
Call 1
Inputs
-1
-1
1
Outputs
1
-1
1
Calls

1 calls:

10.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch36.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.027639669428479896
614634.9401830038
19.0ms
-5.732353929192063
-0.039895893103919736
Compiler

Compiled 16 to 12 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.8b1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify10.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
039171
156171
263171
367171
469171
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 x) x) (-.f64 x (/.f64 1 x)))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) 1 (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(if (<=.f64 x -6454056754866293/1125899906842624) 1 (if (<=.f64 x 497912019754983/18014398509481984) -1 1))
-1
Outputs
(/.f64 (+.f64 (/.f64 (+.f64 1 x) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (+.f64 1 (/.f64 1 x))))
(/.f64 (+.f64 (/.f64 1 x) x) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 x (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 x 1))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (-.f64 -1 x) (/.f64 x (+.f64 1 x))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (/.f64 1 (-.f64 x 1)) x) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) (+.f64 1 (/.f64 2 (*.f64 x x))) (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (/.f64 1 (+.f64 x -1))) (+.f64 1 (/.f64 2 (*.f64 x x)))))
(if (<=.f64 x -6454056754866293/1125899906842624) 1 (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 (/.f64 1 (-.f64 x 1)) x) 1))
(if (<=.f64 x -6454056754866293/1125899906842624) 1 (if (<=.f64 x 497912019754983/18014398509481984) (+.f64 x (/.f64 1 (+.f64 x -1))) 1))
(if (<=.f64 x -6454056754866293/1125899906842624) 1 (if (<=.f64 x 497912019754983/18014398509481984) -1 1))
-1
Compiler

Compiled 126 to 92 computations (27% saved)

soundness0.0ms (0%)

end136.0ms (2.4%)

Compiler

Compiled 120 to 85 computations (29.2% saved)

Profiling

Loading profile data...