Details

Time bar (total: 4.8s)

analyze6.0ms (0.1%)

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

Compiled 13 to 10 computations (23.1% saved)

sample734.0ms (15.3%)

Results
720.0ms8256×body64valid

preprocess14.0ms (0.3%)

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 12 to 9 computations (25% saved)

simplify6.0ms (0.1%)

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)))

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Compiled 47 to 35 computations (25.5% saved)

localize6.0ms (0.1%)

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

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite68.0ms (1.4%)

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
2314130
Stop Event
1×node limit
Counts
3 → 164
Calls
Call 1
Inputs
(/.f64 x (+.f64 x 1))
(/.f64 1 (-.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 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (fma.f64 -1 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (+.f64 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -1/2 (log.f64 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -3 (log.f64 (+.f64 x -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.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)) (/.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(/.f64 (+.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (/.f64 x (fma.f64 x x -1)))) (+.f64 (pow.f64 (+.f64 x -1) -3) (pow.f64 (/.f64 x (+.f64 x 1)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1))) (-.f64 (pow.f64 (+.f64 x -1) -2) (pow.f64 (/.f64 x (+.f64 x 1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))) (exp.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (+.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 x 1)))) (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))) (exp.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))))))) (#(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 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 x -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 x (+.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))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) (/.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) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x 1)))))) (#(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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))))

simplify47.0ms (1%)

Algorithm
1×egg-herbie
Rules
467×unswap-sqr_binary64
453×fma-neg_binary64
390×sub-neg_binary64
386×associate-*l*_binary64
288×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
059485
1180466
2502456
31519450
45244449
Stop Event
1×node limit
Counts
200 → 204
Calls
Call 1
Inputs
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 -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))))
-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
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 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (*.f64 x x) (+.f64 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)))
(*.f64 (-.f64 1 x) (+.f64 x (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 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.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 (/.f64 1 x) x) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) 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 (/.f64 1 x) x) (/.f64 -1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 x) x) (+.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 (/.f64 1 x) x) (-.f64 1 (-.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 -1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (pow.f64 x 3)))))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -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) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.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) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.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 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.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 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.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 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.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)))))
(+.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 (/.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 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.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)))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (+.f64 1 (/.f64 2 (pow.f64 x 6)))))

prune973.0ms (20.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2022204
Fresh000
Picked101
Done000
Total2032205
Error
0b
Counts
205 → 2
Alt Table
StatusErrorProgram
▶0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
0.0b
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
Compiler

Compiled 3517 to 2643 computations (24.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
✓0.0b
(/.f64 1 (+.f64 x -1))
0.0b
(/.f64 x (+.f64 x 1))
✓0.5b
(expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))

series3.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
1.0ms
x
@inf
(expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
0.0ms
x
@-inf
(expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
0.0ms
x
@-inf
(/.f64 1 (+.f64 x -1))
0.0ms
x
@inf
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))

rewrite73.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
515×log-prod_binary64
494×fma-def_binary64
388×pow-prod-down_binary64
284×pow2_binary64
270×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
123041
2351441
Stop Event
1×node limit
Counts
3 → 144
Calls
Call 1
Inputs
(expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))
(/.f64 1 (+.f64 x -1))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2) (cbrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) (sqrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3) 1) (+.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) (+.f64 1 (*.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) 1) (fma.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (/.f64 1 (+.f64 x -1))) (exp.f64 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (/.f64 x (+.f64 x 1))) (exp.f64 (/.f64 1 (+.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 2) (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) (cbrt.f64 (pow.f64 (+.f64 x -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (pow.f64 (+.f64 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 1 (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x -1)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x -1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (/.f64 (pow.f64 (+.f64 x -1) -2) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify95.0ms (2%)

Algorithm
1×egg-herbie
Rules
496×associate-/r*_binary64
439×fma-neg_binary64
407×fma-def_binary64
340×unswap-sqr_binary64
303×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
085621
1244583
2688557
32344547
46349547
Stop Event
1×node limit
Counts
180 → 187
Calls
Call 1
Inputs
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 8)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)))))) 1)
-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))))
-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
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (exp.f64 -1)) 1)
(+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x))) (expm1.f64 -1))
(fma.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x)) (expm1.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 -2 (*.f64 x x)) (expm1.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x (*.f64 -2 x)) (expm1.f64 -1))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (exp.f64 -1))) 1)
(+.f64 (fma.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x)) (exp.f64 -1))) -1)
(fma.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x)) (expm1.f64 -1)))
(+.f64 (expm1.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 -2 (*.f64 x x)) (*.f64 2/3 (pow.f64 x 6)))))
(+.f64 (expm1.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 x (*.f64 -2 x)) (*.f64 2/3 (pow.f64 x 6)))))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 8)))))) 1)
(+.f64 (fma.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x)) (exp.f64 -1)) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 8))))) -1)
(+.f64 -1 (fma.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 -2 (*.f64 (exp.f64 -1) (*.f64 x x)) (fma.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 8)) (exp.f64 -1)))))
(+.f64 (fma.f64 (exp.f64 -1) (*.f64 -2 (*.f64 x x)) (expm1.f64 -1)) (*.f64 (*.f64 (exp.f64 -1) 2/3) (+.f64 (pow.f64 x 8) (pow.f64 x 6))))
(+.f64 (expm1.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 x (*.f64 -2 x)) (*.f64 2/3 (+.f64 (pow.f64 x 6) (pow.f64 x 8))))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2)))) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (*.f64 2 (E.f64)) (*.f64 x x)) 1))
(+.f64 (E.f64) (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) -1))
(fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (*.f64 4 (E.f64)) (pow.f64 x 4))) 1))
(+.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4)))) (expm1.f64 1))
(+.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 2 (/.f64 4 (*.f64 x x)))) (expm1.f64 1))
(+.f64 (*.f64 (E.f64) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 4 (/.f64 (E.f64) (pow.f64 x 4)) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6))))) 1))
(+.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 4 (/.f64 (E.f64) (pow.f64 x 4)) (/.f64 (*.f64 (E.f64) 22/3) (pow.f64 x 6)))) (expm1.f64 1))
(+.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 2 (/.f64 4 (*.f64 x x))))) (expm1.f64 1))
(+.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 4 (*.f64 x x))) (/.f64 22/3 (pow.f64 x 4)))) (expm1.f64 1))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2)))) 1)
(+.f64 (E.f64) (-.f64 (/.f64 (*.f64 2 (E.f64)) (*.f64 x x)) 1))
(+.f64 (E.f64) (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) -1))
(fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (*.f64 4 (E.f64)) (pow.f64 x 4))) 1))
(+.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4)))) (expm1.f64 1))
(+.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 2 (/.f64 4 (*.f64 x x)))) (expm1.f64 1))
(+.f64 (*.f64 (E.f64) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 4)))) (expm1.f64 1))
(-.f64 (+.f64 (E.f64) (+.f64 (*.f64 2 (/.f64 (E.f64) (pow.f64 x 2))) (+.f64 (*.f64 4 (/.f64 (E.f64) (pow.f64 x 4))) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 4 (/.f64 (E.f64) (pow.f64 x 4)) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6))))) 1))
(+.f64 (fma.f64 2 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 4 (/.f64 (E.f64) (pow.f64 x 4)) (/.f64 (*.f64 (E.f64) 22/3) (pow.f64 x 6)))) (expm1.f64 1))
(+.f64 (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 6)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 2 (/.f64 4 (*.f64 x x))))) (expm1.f64 1))
(+.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 (+.f64 2 (/.f64 4 (*.f64 x x))) (/.f64 22/3 (pow.f64 x 4)))) (expm1.f64 1))
-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) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.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) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x 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 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 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) x) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x 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 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
-1
(-.f64 (*.f64 -2 (pow.f64 x 2)) 1)
(fma.f64 -2 (*.f64 x x) -1)
(fma.f64 x (*.f64 -2 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)))))

prune1.4s (28.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2440244
Fresh011
Picked011
Done000
Total2442246
Error
0b
Counts
246 → 2
Alt Table
StatusErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
▶0.0b
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
Compiler

Compiled 4648 to 3627 computations (22% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite93.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
601×log-prod_binary64
496×fma-def_binary64
316×fma-neg_binary64
301×log-div_binary64
299×pow2_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01061
123451
2380051
Stop Event
1×node limit
Counts
4 → 230
Calls
Call 1
Inputs
(*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x))
(/.f64 (+.f64 x 1) x)
(+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x 1) x) x) (*.f64 (/.f64 (+.f64 x 1) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (/.f64 (+.f64 x 1) x)) (*.f64 -1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (/.f64 (+.f64 x 1) x)) (*.f64 x (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 x 1) x) -1) (*.f64 (/.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x x -1) x))) 1)))) 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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 -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (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 (+.f64 x -1) (/.f64 (+.f64 x 1) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (neg.f64 (fma.f64 x x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) 3) (pow.f64 (/.f64 (fma.f64 x x -1) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)) (/.f64 (fma.f64 x x -1) x))))))))

simplify51.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
037371
1101364
2241362
3607362
41880362
56713362
Stop Event
1×node limit
Counts
278 → 252
Calls
Call 1
Inputs
(/.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 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))
(/.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)
-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
(/.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 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))
(/.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))
-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 (+.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 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 (/.f64 2 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 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.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)))))
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 1 (+.f64 (/.f64 (/.f64 2 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 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 6))) (+.f64 1 (/.f64 2 (pow.f64 x 4))))
(+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 6)) (+.f64 1 (/.f64 2 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 (/.f64 2 (pow.f64 x 4)) (/.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)))))

prune1.2s (25.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2920292
Fresh000
Picked011
Done011
Total2922294
Error
0b
Counts
294 → 2
Alt Table
StatusErrorProgram
✓0.0b
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
✓0.0b
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
Compiler

Compiled 7189 to 5030 computations (30% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.0b remaining (-219.5%)

Threshold costs -0.0b (-219.5%)

Counts
3 → 1
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
(/.f64 (+.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)) (*.f64 (+.f64 x -1) (/.f64 (+.f64 x 1) x)))
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Outputs
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
Results
3.0ms0.0bx
2.0ms0.0b(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 58 to 42 computations (27.6% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
11620
Stop Event
1×saturated
Calls
Call 1
Inputs
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))
Outputs
(log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 (+.f64 x -1)))))

end24.0ms (0.5%)

Stop Event
1×done
Compiler

Compiled 28 to 22 computations (21.4% saved)

Profiling

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