Details

Time bar (total: 10.8s)

analyze6.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%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 17 to 14 computations (17.6% saved)

sample2.1s (19.7%)

Results
932.0ms5353×body256valid
666.0ms1367×body1024valid
522.0ms1536×body512valid
0.0ms3×body256invalid

preprocess37.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
127×fma-neg_binary64
82×fma-def_binary64
42×cancel-sign-sub-inv_binary64
39×sub-neg_binary64
28×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 x -1))))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))

eval1.0ms (0%)

Compiler

Compiled 31 to 25 computations (19.4% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
8.6b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶8.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 16 to 13 computations (18.8% saved)

localize169.0ms (1.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 1 (+.f64 x -1))
✓0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓1.3b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Compiler

Compiled 48 to 37 computations (22.9% saved)

series13.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(/.f64 1 (+.f64 1 x))
2.0ms
x
@inf
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms
x
@0
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms
x
@-inf
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
1.0ms
x
@inf
(/.f64 1 (+.f64 1 x))

rewrite263.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
775×fma-def_binary64
613×log-prod_binary64
390×fma-neg_binary64
316×log-div_binary64
248×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
128949
2460349
Stop Event
1×node limit
Counts
4 → 220
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
(/.f64 1 (+.f64 1 x))
(/.f64 1 (+.f64 x -1))
Outputs
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(2) ((x fma.f64 -1 (/.f64 1 (-.f64 1 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x -1)) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 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 -2 x))))) (#(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 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 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) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 1 x) (/.f64 -2 x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 x -1)))))) (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 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 x -1)) -1) (pow.f64 (sqrt.f64 (+.f64 x -1)) -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 1 x))))) (#(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 (/.f64 1 (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 (pow.f64 (+.f64 x -1) -3) 1/3)))) (#(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 expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x -1))))))) (#(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))))))

simplify98.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
531×fma-neg_binary64
487×sub-neg_binary64
328×fma-def_binary64
312×times-frac_binary64
253×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
076755
1231730
2644719
31936716
45432713
Stop Event
1×node limit
Counts
268 → 274
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
-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))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (fma.f64 -1 x -1) (/.f64 2 x))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 x) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1)) (/.f64 2 x))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(+.f64 (-.f64 -1 (fma.f64 x x x)) (/.f64 -2 x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -1 x)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4))))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2)))
(+.f64 1 (fma.f64 -1 x (*.f64 x x)))
(+.f64 1 (-.f64 (*.f64 x x) x))
(-.f64 (fma.f64 x x 1) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 1 (+.f64 (*.f64 -1 x) (pow.f64 x 2))))
(fma.f64 -1 (pow.f64 x 3) (+.f64 1 (fma.f64 -1 x (*.f64 x x))))
(-.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (pow.f64 x 3))
(-.f64 (-.f64 (fma.f64 x x 1) x) (pow.f64 x 3))
(*.f64 (-.f64 1 x) (fma.f64 x x 1))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))
(-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
-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)
(fma.f64 (pow.f64 x 3) -1 (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 (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 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.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 (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 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.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 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))

eval348.0ms (3.2%)

Compiler

Compiled 6131 to 4937 computations (19.5% saved)

prune119.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New25717274
Fresh000
Picked011
Done000
Total25718275
Error
0.2b
Counts
275 → 18
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.3b
(/.f64 2 (pow.f64 x 3))
25.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
25.2b
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
25.9b
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓8.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
26.5b
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))))
31.7b
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
▶8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
▶31.7b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
35.1b
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
34.9b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
▶25.0b
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
34.9b
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
▶31.1b
(/.f64 -2 x)
Compiler

Compiled 594 to 477 computations (19.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(fma.f64 (+.f64 x -1) -2 x)
✓0.0b
(/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1))
✓1.8b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
Compiler

Compiled 62 to 44 computations (29% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite115.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
669×log-prod_binary64
582×fma-def_binary64
325×log-div_binary64
310×fma-neg_binary64
243×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
128148
2444448
Stop Event
1×node limit
Counts
3 → 155
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1))
(fma.f64 (+.f64 x -1) -2 x)
Outputs
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simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
715×fma-def_binary64
445×associate-/r*_binary64
352×fma-neg_binary64
310×associate-/l/_binary64
241×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058415
1176383
2469378
31317375
44019375
57876375
Stop Event
1×node limit
Counts
191 → 188
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -2)
(+.f64 -2 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 -2 (fma.f64 x (fma.f64 x x x) x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize117.0ms (1.1%)

Local error

Found 2 expressions with local error:

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

Compiled 32 to 25 computations (21.9% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
878×prod-diff_binary64
470×log-prod_binary64
447×fma-def_binary64
244×fma-neg_binary64
199×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
123216
2332616
Stop Event
1×node limit
Counts
1 → 80
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))) (/.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 2) (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) (sqrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (/.f64 1 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 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 -1 (/.f64 -2 x)) 2)) (/.f64 1 (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3)) (+.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 (+.f64 -1 (/.f64 -2 x)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) (neg.f64 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))) (neg.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (*.f64 (+.f64 1 x) (+.f64 -1 (/.f64 -8 (pow.f64 x 3))))) (*.f64 (+.f64 1 x) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (*.f64 (fma.f64 -1 x -1) (+.f64 -1 (/.f64 -8 (pow.f64 x 3))))) (*.f64 (fma.f64 -1 x -1) (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 -1 (/.f64 2 x)) (*.f64 (+.f64 1 x) (-.f64 1 (/.f64 4 (*.f64 x x))))) (*.f64 (+.f64 1 x) (+.f64 -1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (+.f64 -1 (/.f64 2 x)) (*.f64 (fma.f64 -1 x -1) (-.f64 1 (/.f64 4 (*.f64 x x))))) (*.f64 (fma.f64 -1 x -1) (+.f64 -1 (/.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 -1 (/.f64 -8 (pow.f64 x 3))) (+.f64 1 x) (*.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) 1)) (*.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (+.f64 1 x) (*.f64 (+.f64 -1 (/.f64 2 x)) 1)) (*.f64 (+.f64 -1 (/.f64 2 x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 -1 (/.f64 -8 (pow.f64 x 3))) (fma.f64 -1 x -1) (*.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) -1)) (*.f64 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (fma.f64 -1 x -1) (*.f64 (+.f64 -1 (/.f64 2 x)) -1)) (*.f64 (+.f64 -1 (/.f64 2 x)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) 3) (/.f64 -8 (pow.f64 x 3))) (fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (/.f64 4 (*.f64 x x))) (-.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (+.f64 -1 (/.f64 -2 x)) (-.f64 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (exp.f64 (+.f64 -1 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2 x)) (exp.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2 x))) (exp.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -2 x)))) (exp.f64 (exp.f64 (neg.f64 (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 -1 (/.f64 -2 x))) (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -2 x)))) (+.f64 1 (expm1.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (+.f64 1 (expm1.f64 (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 -1 (/.f64 -2 x)) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 1 (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (fma.f64 -1 x -1)) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2 x) 1 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (/.f64 -2 x)) 1 (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2 x)) (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -2 x)) 2)) (cbrt.f64 (+.f64 -1 (/.f64 -2 x))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (sqrt.f64 (+.f64 -1 (/.f64 -2 x))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (/.f64 1 (neg.f64 x)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 -1 (/.f64 -8 (pow.f64 x 3))) (/.f64 1 (fma.f64 (/.f64 -2 x) (-.f64 (/.f64 -2 x) -1) 1)) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -2 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4 (*.f64 x x))) (/.f64 1 (+.f64 -1 (/.f64 2 x))) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1) 1 (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1))) (cbrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) -1)) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (expm1.f64 (*.f64 -1/2 (log1p.f64 x))) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) 1) (-.f64 (sqrt.f64 (/.f64 -2 x)) 1) (exp.f64 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1) (+.f64 -1 (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x) (+.f64 -1 (/.f64 -2 x)))))))

simplify88.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
772×fma-neg_binary64
524×cancel-sign-sub-inv_binary64
461×associate-*l*_binary64
371×sub-neg_binary64
367×associate-*r*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027154
183141
2227137
3689137
42278135
56867135
Stop Event
1×node limit
Counts
92 → 94
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (+.f64 (*.f64 -1 x) (pow.f64 x 2)) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 x (*.f64 x x)) (/.f64 2 x))
(fma.f64 x -1 (fma.f64 x x (/.f64 -2 x)))
(-.f64 (fma.f64 x x (/.f64 -2 x)) x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 x (*.f64 x x))) (/.f64 2 x))
(+.f64 (-.f64 (neg.f64 (pow.f64 x 3)) x) (fma.f64 x x (/.f64 -2 x)))
(-.f64 (-.f64 (fma.f64 x x (/.f64 -2 x)) x) (pow.f64 x 3))
(fma.f64 x (-.f64 x (*.f64 x x)) (-.f64 (/.f64 -2 x) x))
(fma.f64 x (-.f64 x (fma.f64 x x 1)) (/.f64 -2 x))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (-.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) 1) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))) (/.f64 1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (/.f64 (/.f64 -1 x) x) (-.f64 (-.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(pow.f64 x 3)
✓0.2b
(/.f64 2 (pow.f64 x 3))
Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts
2 → 0
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2 (pow.f64 x 3))
1.0ms
x
@-inf
(pow.f64 x 3)
1.0ms
x
@inf
(pow.f64 x 3)
0.0ms
x
@-inf
(/.f64 2 (pow.f64 x 3))
0.0ms
x
@inf
(/.f64 2 (pow.f64 x 3))

rewrite197.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
541×pow1_binary64
512×add-log-exp_binary64
511×log1p-expm1-u_binary64
511×expm1-log1p-u_binary64
501×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
113511
2145511
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(pow.f64 x 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 (cbrt.f64 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (pow.f64 x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (pow.f64 x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (pow.f64 x -3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3/2) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 3) (pow.f64 (sqrt.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 x)))))))

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
39 → 39
Calls
Call 1
Inputs
Outputs

localize164.0ms (1.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))
✓0.2b
(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2)
✓6.2b
(-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2))
✓21.1b
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
Compiler

Compiled 115 to 92 computations (20% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite109.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
531×fma-neg_binary64
341×expm1-udef_binary64
341×log1p-udef_binary64
211×add-sqr-sqrt_binary64
206×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01790
141763
2646363
Stop Event
1×node limit
Counts
3 → 139
Calls
Call 1
Inputs
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2))
(pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2) (+.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))))) (neg.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) 2) (+.f64 (/.f64 -1 (-.f64 1 x)) (+.f64 (/.f64 -2 x) (/.f64 -1 (+.f64 1 x))))) (/.f64 (pow.f64 (+.f64 1 x) -2) (+.f64 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(-.f64 1 x)) (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)))) 1))))))

simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
787×fma-def_binary64
518×unswap-sqr_binary64
447×distribute-neg-frac_binary64
420×associate-/r*_binary64
240×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077657
1243651
2645650
31644649
45209649
Stop Event
1×node limit
Counts
175 → 180
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 4 (pow.f64 x 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))
(+.f64 4 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))
(+.f64 4 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 x) (*.f64 4 (/.f64 1 x)))))
(/.f64 -4 (pow.f64 x 4))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(/.f64 -4 (pow.f64 x 4))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(/.f64 4 (pow.f64 x 2))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))
(+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))
(+.f64 (*.f64 6 x) (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7)))) (/.f64 2 (pow.f64 x 9)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x))
(+.f64 4 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))
(+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x)))
(+.f64 4 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 8 x) (*.f64 4 (/.f64 1 x)))))
(+.f64 (+.f64 4 (/.f64 4 (*.f64 x x))) (fma.f64 8 x (/.f64 4 x)))
(+.f64 (fma.f64 x 8 (/.f64 4 x)) (+.f64 4 (/.f64 4 (*.f64 x x))))
(+.f64 4 (+.f64 (/.f64 4 (*.f64 x x)) (fma.f64 x 8 (/.f64 4 x))))
(/.f64 -4 (pow.f64 x 4))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 4 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 6))))
(-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 8 (pow.f64 x 7))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 6))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 8 (pow.f64 x 7))) (/.f64 4 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 8 (pow.f64 x 7)) (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 6)))))
(+.f64 (/.f64 4 (pow.f64 x 5)) (-.f64 (/.f64 8 (pow.f64 x 7)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4)))))
(/.f64 -4 (pow.f64 x 4))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 4 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 -4 (pow.f64 x 4)))
(-.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 6))))
(+.f64 (-.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 4 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 6))))
(-.f64 (/.f64 -4 (pow.f64 x 4)) (+.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 5))))
(-.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 5))) (*.f64 8 (/.f64 1 (pow.f64 x 7)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 6))) (*.f64 4 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 8 (pow.f64 x 7))) (+.f64 (/.f64 4 (pow.f64 x 4)) (/.f64 4 (pow.f64 x 6))))
(+.f64 (-.f64 (+.f64 (/.f64 4 (pow.f64 x 5)) (/.f64 8 (pow.f64 x 7))) (/.f64 4 (pow.f64 x 6))) (/.f64 -4 (pow.f64 x 4)))
(+.f64 (/.f64 4 (pow.f64 x 5)) (+.f64 (/.f64 8 (pow.f64 x 7)) (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 6)))))
(+.f64 (/.f64 4 (pow.f64 x 5)) (-.f64 (/.f64 8 (pow.f64 x 7)) (-.f64 (/.f64 4 (pow.f64 x 6)) (/.f64 -4 (pow.f64 x 4)))))
(/.f64 4 (pow.f64 x 2))
(/.f64 4 (*.f64 x x))
(+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))
(+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x))
(+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x))))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x)))
(+.f64 (/.f64 4 x) (+.f64 5 (/.f64 4 (*.f64 x x))))
(+.f64 (*.f64 6 x) (+.f64 5 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 4 (/.f64 1 x)))))
(fma.f64 6 x (+.f64 5 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x))))
(+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 4 x)) (fma.f64 x 6 5))
(+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 4 x) (fma.f64 x 6 5)))
(+.f64 5 (+.f64 (/.f64 4 (*.f64 x x)) (fma.f64 x 6 (/.f64 4 x))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -2 (pow.f64 x 3)))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 2 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))) (/.f64 -2 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 2 (pow.f64 x 3)))))

eval803.0ms (7.4%)

Compiler

Compiled 22209 to 17147 computations (22.8% saved)

prune119.0ms (1.1%)

Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New73413747
Fresh8412
Picked101
Done325
Total74619765
Error
0.0b
Counts
765 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
32.3b
(/.f64 2 (*.f64 (*.f64 x x) x))
32.1b
(*.f64 (pow.f64 x -3) 2)
45.4b
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
✓31.1b
(/.f64 -2 x)
8.5b
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
28.0b
(/.f64 (fma.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (neg.f64 (pow.f64 (+.f64 1 x) -2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
▶8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
▶31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
25.0b
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
▶57.0b
(+.f64 -1 (/.f64 -1 x))
▶32.4b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
25.2b
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
32.1b
(-.f64 (/.f64 -2 x) x)
▶8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓8.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
61.8b
-1
Compiler

Compiled 668 to 514 computations (23.1% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (+.f64 x -1) -2) x)
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1))
✓1.8b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
Compiler

Compiled 71 to 52 computations (26.8% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite100.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
749×fma-def_binary64
395×fma-neg_binary64
367×log-div_binary64
271×expm1-udef_binary64
271×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
131048
2503248
Stop Event
1×node limit
Counts
3 → 174
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1))
(+.f64 (*.f64 (+.f64 x -1) -2) x)
Outputs
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simplify73.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
715×fma-def_binary64
445×associate-/r*_binary64
352×fma-neg_binary64
310×associate-/l/_binary64
241×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058415
1176383
2469378
31317375
44019375
57876375
Stop Event
1×node limit
Counts
210 → 207
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (*.f64 -1 x))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (fma.f64 x (fma.f64 x x 1) (pow.f64 x 5)) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9))) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -2)
(+.f64 -2 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
(-.f64 -2 (fma.f64 x (fma.f64 x x x) x))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) -1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 (pow.f64 x 3)) -1))
(-.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 1 (/.f64 -1 x)) (/.f64 1 (pow.f64 x 3))))
2
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)
(+.f64 2 (*.f64 -1 x))
(+.f64 2 (neg.f64 x))
(-.f64 2 x)

localize6.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)
0.0b
(/.f64 1 (+.f64 1 x))
✓0.0b
(/.f64 (-.f64 2 x) (+.f64 x -1))
✓2.2b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
Compiler

Compiled 50 to 36 computations (28% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
709×log-prod_binary64
614×fma-def_binary64
378×log-div_binary64
317×fma-neg_binary64
257×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
129245
2477245
Stop Event
1×node limit
Counts
3 → 178
Calls
Call 1
Inputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(/.f64 (-.f64 2 x) (+.f64 x -1))
(/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) (/.f64 (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (sqrt.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) (pow.f64 (+.f64 1 x) -1/2)) (hypot.f64 (sqrt.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) (pow.f64 (+.f64 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 1 x) (/.f64 (-.f64 2 x) (+.f64 x -1)) x) (/.f64 1 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3)) (/.f64 1 (fma.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (-.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 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 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2)) (/.f64 1 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (fma.f64 (+.f64 1 x) (/.f64 (-.f64 2 x) (+.f64 x -1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (-.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)) (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (+.f64 1 x) (/.f64 (-.f64 2 x) (+.f64 x -1)) x) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3)) (fma.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (-.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) (/.f64 1 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3)) (+.f64 (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2) (-.f64 (pow.f64 (+.f64 1 x) -2) (/.f64 (-.f64 2 x) (*.f64 (+.f64 1 x) (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (+.f64 1 x) (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (fma.f64 x x (neg.f64 x))) (/.f64 x (fma.f64 x x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 2 (+.f64 x -1)) x) (/.f64 (/.f64 x (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 2 x) (sqrt.f64 x)) (/.f64 (/.f64 -1 (-.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) (+.f64 x -1))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 (-.f64 2 x) (+.f64 x -1))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 2 x) (fma.f64 x x (neg.f64 x)))) 1))))))

simplify57.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
527×fma-neg_binary64
383×associate-/l/_binary64
373×sub-neg_binary64
274×fma-def_binary64
231×unswap-sqr_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070538
1212517
2574510
31671510
44637510
Stop Event
1×node limit
Counts
214 → 219
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
-2
(-.f64 (*.f64 -1 x) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
-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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 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 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 x) (/.f64 2 x))
(fma.f64 -2 x (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 -2 x (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 -2 x))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
-2
(-.f64 (*.f64 -1 x) 2)
(fma.f64 -1 x -2)
(fma.f64 x -1 -2)
(-.f64 -2 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 2)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -2))
(fma.f64 -1 (fma.f64 x x x) -2)
(-.f64 -2 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 2)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -2)
(fma.f64 (pow.f64 x 3) -1 (fma.f64 -1 (fma.f64 x x x) -2))
(-.f64 (-.f64 -2 (fma.f64 x x x)) (pow.f64 x 3))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) 1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 -1 (/.f64 1 (*.f64 x x)))))
-1
(-.f64 (/.f64 1 x) 1)
(+.f64 (/.f64 1 x) -1)
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)) 1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) -1))
(+.f64 (+.f64 (/.f64 1 x) -1) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (+.f64 -1 (/.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) 1)
(+.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) -1)
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 3)) 1)))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) 1))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 -1 (/.f64 1 (*.f64 x x)))))
(/.f64 -2 x)
(neg.f64 (+.f64 1 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 1 (/.f64 2 x)))
(+.f64 -1 (/.f64 -2 x))
(-.f64 (*.f64 -1 x) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (neg.f64 x) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 x -1 -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) x)
(+.f64 (/.f64 -2 x) (-.f64 -1 x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (+.f64 (*.f64 x x) x)) (+.f64 1 (/.f64 2 x)))
(+.f64 (fma.f64 -1 (fma.f64 x x x) -1) (/.f64 -2 x))
(-.f64 (+.f64 -1 (/.f64 -2 x)) (fma.f64 x x x))
(+.f64 -1 (-.f64 (/.f64 -2 x) (fma.f64 x x x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 x))
(-.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))
(+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 4)))))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 (cbrt.f64 2) x)
✓0.2b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
✓1.0b
(cbrt.f64 2)
Compiler

Compiled 16 to 13 computations (18.8% saved)

series6.0ms (0.1%)

Counts
3 → 12
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
1.0ms
x
@inf
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
1.0ms
x
@-inf
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
0.0ms
x
@0
(/.f64 (cbrt.f64 2) x)
0.0ms
x
@-inf
(/.f64 (cbrt.f64 2) x)

rewrite56.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
672×pow1_binary64
637×add-log-exp_binary64
636×log1p-expm1-u_binary64
636×expm1-log1p-u_binary64
620×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0718
115516
2180016
Stop Event
1×node limit
Counts
3 → 79
Calls
Call 1
Inputs
(cbrt.f64 2)
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(/.f64 (cbrt.f64 2) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (cbrt.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 2 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 2 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (pow.f64 (/.f64 1 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (/.f64 1 x) (/.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (/.f64 (cbrt.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 2) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) (/.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) (*.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) (/.f64 (cbrt.f64 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 3/2) (pow.f64 (/.f64 (cbrt.f64 2) x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 2) 3) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) 3) (pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (cbrt.f64 2)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) 1) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (sqrt.f64 (/.f64 (cbrt.f64 2) x))) (sqrt.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (cbrt.f64 2)) 3) (pow.f64 (neg.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 4) (*.f64 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (cbrt.f64 4) (*.f64 x x))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (cbrt.f64 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) 1) (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)) (neg.f64 (cbrt.f64 2))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (pow.f64 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 2 (pow.f64 x 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (cbrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 4)) (*.f64 (cbrt.f64 (cbrt.f64 2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 2) (cbrt.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/6) (*.f64 (pow.f64 2 1/6) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) (sqrt.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 2)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 4)) 1) (/.f64 (cbrt.f64 (cbrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/6) 1) (/.f64 (pow.f64 2 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 4)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/6) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 2 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (cbrt.f64 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cbrt.f64 4)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (cbrt.f64 2)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cbrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cbrt.f64 2) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (cbrt.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cbrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cbrt.f64 2) x)))))))

simplify152.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1274×sqr-pow_binary64
666×pow-sqr_binary64
529×cube-prod_binary64
474×fabs-mul_binary64
456×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11384
22484
33984
47484
521484
677184
7224484
8233284
9246584
10262384
11288284
12321084
13363484
14413584
15473784
16545984
17578284
18606884
19629084
20646884
21655284
22749284
Stop Event
1×node limit
Counts
91 → 79
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
Outputs
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
✓0.1b
(/.f64 2 (pow.f64 x 5))
0.2b
(/.f64 2 (pow.f64 x 3))
✓0.3b
(/.f64 2 (pow.f64 x 7))
Compiler

Compiled 58 to 46 computations (20.7% saved)

series4.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/.f64 2 (pow.f64 x 7))
1.0ms
x
@0
(/.f64 2 (pow.f64 x 5))
1.0ms
x
@0
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
0.0ms
x
@inf
(/.f64 2 (pow.f64 x 7))
0.0ms
x
@-inf
(/.f64 2 (pow.f64 x 7))

rewrite72.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
628×log-prod_binary64
371×pow2_binary64
325×fma-def_binary64
253×expm1-udef_binary64
253×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01330
131227
2405127
Stop Event
1×node limit
Counts
3 → 129
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 7))
(/.f64 2 (pow.f64 x 5))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
Outputs
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x -7) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -7) (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (+.f64 (pow.f64 x -7) (pow.f64 x -3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -7) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (pow.f64 x -3) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -7)) 1 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (pow.f64 x -3)) 1 (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -7)) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (pow.f64 x -3)) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 2 (pow.f64 x -7))) (cbrt.f64 (/.f64 4 (pow.f64 x 14))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 x 14))) (cbrt.f64 (*.f64 2 (pow.f64 x -7))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 2) (pow.f64 x 3/2)) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (pow.f64 x -7))) (sqrt.f64 (*.f64 2 (pow.f64 x -7))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 3))) (*.f64 2 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 (neg.f64 (pow.f64 x 7))) (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -7) 2 (*.f64 2 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) 2 (*.f64 2 (pow.f64 x -7)))))))

simplify107.0ms (1%)

Algorithm
1×egg-herbie
Rules
1174×associate-/r/_binary64
724×unswap-sqr_binary64
503×associate-/l/_binary64
500×sqr-pow_binary64
499×associate-/r*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015165
135165
268165
3121165
4269165
5877165
63954165
75362165
85614165
96197165
106526165
117033165
Stop Event
1×node limit
Counts
141 → 133
Calls
Call 1
Inputs
(/.f64 2 (pow.f64 x 7))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
Outputs
(/.f64 2 (pow.f64 x 7))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7)))

eval336.0ms (3.1%)

Compiler

Compiled 15986 to 11745 computations (26.5% saved)

prune182.0ms (1.7%)

Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New7339742
Fresh4812
Picked101
Done156
Total73922761
Error
0b
Counts
761 → 22
Alt Table
Click to see full alt table
StatusErrorProgram
✓32.4b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
8.5b
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
▶32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 3) (/.f64 2 (pow.f64 x 7))))
25.2b
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
31.7b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))
32.3b
(/.f64 2 (*.f64 (*.f64 x x) x))
32.1b
(*.f64 (pow.f64 x -3) 2)
45.4b
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
▶8.5b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
✓8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
31.9b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
▶32.5b
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
28.0b
(/.f64 (fma.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (neg.f64 (pow.f64 (+.f64 1 x) -2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
▶32.1b
(-.f64 (/.f64 -2 x) x)
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
✓31.1b
(/.f64 -2 x)
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
✓8.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓57.0b
(+.f64 -1 (/.f64 -1 x))
▶8.5b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
61.8b
-1
Compiler

Compiled 711 to 543 computations (23.6% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x -1) (-.f64 2 x))
✓0.0b
(*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))
✓0.0b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
✓1.7b
(fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x))
Compiler

Compiled 81 to 56 computations (30.9% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite99.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
689×prod-diff_binary64
439×fma-def_binary64
274×log-div_binary64
257×expm1-udef_binary64
257×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01384
129584
2438884
Stop Event
1×node limit
Counts
4 → 191
Calls
Call 1
Inputs
(fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))
(/.f64 (+.f64 x -1) (-.f64 2 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x -1) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) 2) (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 2 x)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) (-.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 (-.f64 2 x)) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (-.f64 2 x))) (/.f64 (+.f64 x -1) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 (-.f64 2 x))) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 8 (pow.f64 x 3))) (fma.f64 x (+.f64 x 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x -1) (-.f64 4 (*.f64 x x))) (+.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (-.f64 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (-.f64 2 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x -1) (-.f64 2 x))) 1))))))

simplify80.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
531×fma-def_binary64
489×sub-neg_binary64
428×fma-neg_binary64
387×associate-*l*_binary64
319×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0111715
1332677
2945655
32930644
47360644
Stop Event
1×node limit
Counts
239 → 248
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4)))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
-1/2
(-.f64 (*.f64 1/4 x) 1/2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/4 x)) 1/2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))) 1/2)
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/4 (*.f64 x x)))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))
(-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (/.f64 -16 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x)) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))
(-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (/.f64 2 x)))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (/.f64 -16 (pow.f64 x 4)))
(+.f64 (+.f64 (-.f64 (/.f64 -2 x) (/.f64 (/.f64 4 x) x)) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4)))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 9)) (/.f64 2 (pow.f64 x 7)))))
(+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) -1/4))
(fma.f64 x -1/2 (*.f64 x (*.f64 x -1/4)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/4)))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 (*.f64 x x) -1/4)))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 x -1/2 (*.f64 x (*.f64 x -1/4))))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 3/8) -1/4)))
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 -1/4 (*.f64 x 3/8)))))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4)))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/16))))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 x -1/2 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) 3/16))))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 (pow.f64 x 4) 3/16 (*.f64 x (+.f64 -1/2 (*.f64 x -1/4)))))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) (+.f64 -1/4 (*.f64 x (+.f64 (*.f64 x 3/16) 3/8)))))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -3)
(fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3))
(+.f64 (*.f64 x (-.f64 -2 x)) -3)
(fma.f64 x (-.f64 -2 x) -3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(-.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) (+.f64 3 (/.f64 6 x)))
(-.f64 (fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3)) (/.f64 6 x))
(+.f64 (*.f64 x (-.f64 -2 x)) (+.f64 -3 (/.f64 -6 x)))
(+.f64 (fma.f64 x (-.f64 -2 x) -3) (/.f64 -6 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -3)
(fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3))
(+.f64 (*.f64 x (-.f64 -2 x)) -3)
(fma.f64 x (-.f64 -2 x) -3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(-.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) (+.f64 3 (/.f64 6 x)))
(-.f64 (fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3)) (/.f64 6 x))
(+.f64 (*.f64 x (-.f64 -2 x)) (+.f64 -3 (/.f64 -6 x)))
(+.f64 (fma.f64 x (-.f64 -2 x) -3) (/.f64 -6 x))
-1/2
(-.f64 (*.f64 1/4 x) 1/2)
(fma.f64 1/4 x -1/2)
(fma.f64 x 1/4 -1/2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (*.f64 1/4 x)) 1/2)
(+.f64 (*.f64 (*.f64 x x) 1/8) (fma.f64 1/4 x -1/2))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/4 -1/2))
(fma.f64 x 1/4 (fma.f64 x (*.f64 x 1/8) -1/2))
(fma.f64 x (+.f64 1/4 (*.f64 x 1/8)) -1/2)
(-.f64 (+.f64 (*.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 1/4 x) (*.f64 1/16 (pow.f64 x 3)))) 1/2)
(+.f64 (fma.f64 1/8 (*.f64 x x) (fma.f64 1/4 x (*.f64 (pow.f64 x 3) 1/16))) -1/2)
(+.f64 -1/2 (fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/4 (*.f64 (pow.f64 x 3) 1/16))))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x 1/4 (fma.f64 (pow.f64 x 3) 1/16 -1/2)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) (/.f64 4 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))) (-.f64 -1 (/.f64 4 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3)))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 x)) (/.f64 2 (*.f64 x x))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -2 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 -1 (neg.f64 (+.f64 (+.f64 (/.f64 1 x) (/.f64 2 (*.f64 x x))) (/.f64 4 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 4 (pow.f64 x 3)))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 2 (*.f64 x x))) (-.f64 -1 (/.f64 4 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (-.f64 (/.f64 2 (*.f64 x x)) (/.f64 -4 (pow.f64 x 3)))))
(+.f64 -1 (-.f64 (/.f64 -2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 4 (pow.f64 x 3)))))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -2 x) x)
Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite58.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
653×pow1_binary64
615×add-log-exp_binary64
615×log1p-expm1-u_binary64
615×expm1-log1p-u_binary64
603×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11187
216457
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(-.f64 (/.f64 -2 x) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 -2 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (/.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 2) (cbrt.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -2 x) x)) (sqrt.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x)) (/.f64 1 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x)))) (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 -2 x)) (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x)) (+.f64 x (/.f64 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (*.f64 x (+.f64 x (/.f64 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 x x))) (neg.f64 (+.f64 x (/.f64 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (pow.f64 (neg.f64 x) 3)) (+.f64 (/.f64 4 (*.f64 x x)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 -2 x) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4 (*.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 -2 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -2 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -2 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -2 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -2 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (/.f64 1 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2 x)) 2) (cbrt.f64 (/.f64 -2 x)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2 x)) (sqrt.f64 (/.f64 -2 x)) (neg.f64 x))))))

simplify27.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
61×fma-neg_binary64
36×associate-/l*_binary64
28×associate-/r*_binary64
27×fma-def_binary64
23×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191
12482
24073
36873
412473
517673
626573
733373
840973
943073
1044873
Stop Event
1×saturated
Counts
48 → 41
Calls
Call 1
Inputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(*.f64 -1 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
Outputs
(/.f64 -2 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(*.f64 -1 x)
(neg.f64 x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)
(-.f64 (*.f64 -1 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (/.f64 2 x))
(fma.f64 x -1 (/.f64 -2 x))
(-.f64 (/.f64 -2 x) x)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x -1) (-.f64 2 x))
✓0.0b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
✓0.0b
(*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x))
✓1.8b
(+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1))
Compiler

Compiled 98 to 70 computations (28.6% saved)

series6.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite109.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
820×fma-def_binary64
345×fma-neg_binary64
333×log-div_binary64
270×expm1-udef_binary64
269×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01478
133974
2510574
Stop Event
1×node limit
Counts
3 → 197
Calls
Call 1
Inputs
(+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1))
(*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
Outputs
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simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
879×times-frac_binary64
432×fma-def_binary64
330×fma-neg_binary64
325×associate-*l*_binary64
324×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
091564
1266540
2743520
32277510
45766510
Stop Event
1×node limit
Counts
233 → 240
Calls
Call 1
Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(*.f64 -1/2 x)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4)))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 1/4 (pow.f64 x 2))))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/4 (*.f64 x x)))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1))
(+.f64 (*.f64 1/2 x) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (*.f64 x x) (*.f64 1/8 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1)))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (/.f64 16 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x))) (/.f64 -8 (pow.f64 x 3)))
(-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3))))
(neg.f64 (+.f64 (*.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4))))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (-.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 8 (pow.f64 x 3)))) (/.f64 16 (pow.f64 x 4)))
(+.f64 (+.f64 (/.f64 -2 x) (/.f64 -4 (*.f64 x x))) (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -16 (pow.f64 x 4))))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2)))
(fma.f64 -1/2 x (*.f64 (*.f64 x x) -1/4))
(fma.f64 x -1/2 (*.f64 x (*.f64 x -1/4)))
(*.f64 x (+.f64 -1/2 (*.f64 x -1/4)))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (*.f64 -1/4 (pow.f64 x 2))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 -1/2 x (*.f64 (*.f64 x x) -1/4)))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 x -1/2 (*.f64 x (*.f64 x -1/4))))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 x 3/8) -1/4)))
(*.f64 x (+.f64 -1/2 (*.f64 x (+.f64 -1/4 (*.f64 x 3/8)))))
(+.f64 (*.f64 3/8 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 x) (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 3/16 (pow.f64 x 4)))))
(fma.f64 3/8 (pow.f64 x 3) (fma.f64 -1/2 x (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) 3/16))))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 x -1/2 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) 3/16))))
(fma.f64 (pow.f64 x 3) 3/8 (fma.f64 (pow.f64 x 4) 3/16 (*.f64 x (+.f64 -1/2 (*.f64 x -1/4)))))
(fma.f64 x -1/2 (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 (*.f64 x 3/16) 3/8)) -1/4)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -3)
(fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3))
(+.f64 (*.f64 x (-.f64 -2 x)) -3)
(fma.f64 x (-.f64 -2 x) -3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(-.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) (+.f64 3 (/.f64 6 x)))
(-.f64 (fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3)) (/.f64 6 x))
(+.f64 -3 (+.f64 (*.f64 x (-.f64 -2 x)) (/.f64 -6 x)))
(+.f64 (fma.f64 x (-.f64 -2 x) -3) (/.f64 -6 x))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 x -2) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 3)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -3)
(fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3))
(+.f64 (*.f64 x (-.f64 -2 x)) -3)
(fma.f64 x (-.f64 -2 x) -3)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) (+.f64 3 (*.f64 6 (/.f64 1 x))))
(-.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) (+.f64 3 (/.f64 6 x)))
(-.f64 (fma.f64 x -2 (fma.f64 (*.f64 x x) -1 -3)) (/.f64 6 x))
(+.f64 -3 (+.f64 (*.f64 x (-.f64 -2 x)) (/.f64 -6 x)))
(+.f64 (fma.f64 x (-.f64 -2 x) -3) (/.f64 -6 x))
(/.f64 -2 x)
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 x -2) (/.f64 2 x))
(fma.f64 x -2 (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3))) (*.f64 2 (/.f64 1 x)))
(-.f64 (*.f64 -2 (+.f64 x (pow.f64 x 3))) (/.f64 2 x))
(fma.f64 -2 (+.f64 x (pow.f64 x 3)) (/.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (+.f64 (*.f64 -2 (pow.f64 x 5)) (*.f64 -2 (pow.f64 x 3)))) (*.f64 2 (/.f64 1 x)))
(-.f64 (fma.f64 -2 x (*.f64 -2 (+.f64 (pow.f64 x 5) (pow.f64 x 3)))) (/.f64 2 x))
(fma.f64 x -2 (fma.f64 -2 (+.f64 (pow.f64 x 3) (pow.f64 x 5)) (/.f64 -2 x)))
(fma.f64 -2 (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5))) (/.f64 -2 x))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 2 (pow.f64 x 3))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 5))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 7))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 9))))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))) (/.f64 2 (pow.f64 x 9))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(/.f64 x (cbrt.f64 2))
✓0.2b
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
✓0.3b
(pow.f64 (/.f64 x (cbrt.f64 2)) 3)
1.0b
(cbrt.f64 2)
Compiler

Compiled 25 to 21 computations (16% saved)

series6.0ms (0.1%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (/.f64 x (cbrt.f64 2)) 3)
1.0ms
x
@-inf
(pow.f64 (/.f64 x (cbrt.f64 2)) 3)
1.0ms
x
@inf
(pow.f64 (/.f64 x (cbrt.f64 2)) 3)
1.0ms
x
@0
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
0.0ms
x
@inf
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
813×pow1_binary64
771×add-log-exp_binary64
770×log1p-expm1-u_binary64
770×expm1-log1p-u_binary64
750×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0924
119722
2228622
Stop Event
1×node limit
Counts
3 → 94
Calls
Call 1
Inputs
(pow.f64 (/.f64 x (cbrt.f64 2)) 3)
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
(/.f64 x (cbrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 x 3) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 x x) (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 2)) (/.f64 (*.f64 x x) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 x 3) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2) (*.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) (/.f64 (*.f64 x x) (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) (/.f64 (*.f64 x x) (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (pow.f64 (/.f64 1 (cbrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) 3/2) (pow.f64 (/.f64 x (cbrt.f64 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2) 3) (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) 3) (pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) x) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) 1) (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2)) (cbrt.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) (sqrt.f64 (/.f64 x (cbrt.f64 2)))) (sqrt.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (cbrt.f64 2)) (/.f64 1 (/.f64 (*.f64 x x) (cbrt.f64 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 3) 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) 3/2) (pow.f64 (/.f64 x (cbrt.f64 2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (neg.f64 (cbrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 x 3)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (/.f64 (*.f64 x x) (cbrt.f64 4))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 x x) (cbrt.f64 4))) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) x) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) 1) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) (neg.f64 x)) (neg.f64 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 3) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 2) (/.f64 (cbrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3/2) (pow.f64 (/.f64 x (cbrt.f64 2)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (*.f64 (pow.f64 x 3) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) x) (pow.f64 (/.f64 (cbrt.f64 2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -3) (pow.f64 (/.f64 1 (cbrt.f64 2)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2) -3) (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) -3) (pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -1) (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)) -1) (pow.f64 (/.f64 x (cbrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) 3/2) -1) (pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 2)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 x (cbrt.f64 2)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (cbrt.f64 2))) -3))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (cbrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (cbrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 2) (cbrt.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) (sqrt.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (neg.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cbrt.f64 4))) (/.f64 x (cbrt.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (cbrt.f64 4))) (cbrt.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 4))) (/.f64 (sqrt.f64 x) (cbrt.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/6)) (/.f64 x (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 2 1/6)) (/.f64 (cbrt.f64 x) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (cbrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (cbrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (cbrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 2) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (neg.f64 (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 x x) (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (cbrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (cbrt.f64 2))))))))

simplify160.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1005×sqr-pow_binary64
500×pow-sqr_binary64
471×cube-prod_binary64
455×associate-/r*_binary64
439×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08168
116168
239168
369168
4138168
5398168
61440168
72943168
83030168
93163168
103321168
113586168
123914168
134337168
144839168
155440168
166164168
176487168
186771168
196991168
207169168
217249168
Stop Event
1×node limit
Counts
118 → 96
Calls
Call 1
Inputs
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
Outputs
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))
(/.f64 2 (pow.f64 x 3))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (cbrt.f64 2) x)
0.2b
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
0.3b
(/.f64 2 (pow.f64 x 7))
1.0b
(cbrt.f64 2)
Compiler

Compiled 64 to 52 computations (18.8% saved)

eval1.2s (11%)

Compiler

Compiled 25348 to 18302 computations (27.8% saved)

prune158.0ms (1.5%)

Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New88012892
Fresh4812
Picked011
Done279
Total88628914
Error
0b
Counts
914 → 28
Alt Table
Click to see full alt table
StatusErrorProgram
30.9b
(/.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
8.5b
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
9.7b
(/.f64 (fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 2 x)) x) (+.f64 1 x)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
✓32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 3) (/.f64 2 (pow.f64 x 7))))
8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
31.8b
(/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
62.1b
(neg.f64 x)
31.7b
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))
32.3b
(/.f64 2 (*.f64 (*.f64 x x) x))
32.1b
(*.f64 (pow.f64 x -3) 2)
45.4b
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
31.8b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 (/.f64 1 x) 3)) (/.f64 2 (pow.f64 x 7))))
✓32.1b
(-.f64 (/.f64 -2 x) x)
✓8.5b
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
32.2b
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3)) (/.f64 2 (pow.f64 x 7))))
✓8.5b
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
✓31.1b
(/.f64 -2 x)
31.9b
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
13.7b
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1)) (/.f64 1 (*.f64 (+.f64 x 1) (neg.f64 (/.f64 x (/.f64 (-.f64 2 x) (+.f64 x -1)))))))
✓8.5b
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
31.2b
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 1 x) (*.f64 (-.f64 2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 2 x) (-.f64 1 x))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
31.8b
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
61.8b
-1
13.7b
(/.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
32.0b
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
28.0b
(/.f64 (fma.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (neg.f64 (pow.f64 (+.f64 1 x) -2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
✓8.6b
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
✓57.0b
(+.f64 -1 (/.f64 -1 x))
Compiler

Compiled 566 to 423 computations (25.3% saved)

regimes183.0ms (1.7%)

Counts
53 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 2 x)) x) (+.f64 1 x)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1)) (/.f64 1 (*.f64 (+.f64 x 1) (neg.f64 (/.f64 x (/.f64 (-.f64 2 x) (+.f64 x -1)))))))
(/.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 1 x) (*.f64 (-.f64 2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 2 x) (-.f64 1 x))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (fma.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (neg.f64 (pow.f64 (+.f64 1 x) -2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (*.f64 2 (pow.f64 (/.f64 1 x) 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (pow.f64 (/.f64 (cbrt.f64 2) x) 3) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3)) (/.f64 2 (pow.f64 x 7))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(+.f64 (/.f64 2 (pow.f64 x 5)) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 (/.f64 2 (pow.f64 x 7)) (/.f64 2 (pow.f64 x 9)))))
(/.f64 (fma.f64 -1 (*.f64 x (+.f64 x -1)) (*.f64 (fma.f64 x -1 -1) (fma.f64 (+.f64 x -1) -2 x))) (*.f64 (fma.f64 x -1 -1) (*.f64 x (+.f64 x -1))))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
Calls

3 calls:

70.0ms
x
46.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
40.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.0b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 1001 to 754 computations (24.7% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
4.091498319704415e-8
18049.10099044383
0.0ms
-35.87965242847439
-2.605017724970071e-10
Compiler

Compiled 20 to 16 computations (20% saved)

regimes178.0ms (1.6%)

Counts
45 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 2 x)) x) (+.f64 1 x)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1)) (/.f64 1 (*.f64 (+.f64 x 1) (neg.f64 (/.f64 x (/.f64 (-.f64 2 x) (+.f64 x -1)))))))
(/.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 1 x) (*.f64 (-.f64 2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 2 x) (-.f64 1 x))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
(exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x))))))
(pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (+.f64 (/.f64 -2 x) (/.f64 1 (+.f64 1 x)))) 3) 1/3)
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (fma.f64 (+.f64 x -1) -2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) 2) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (fma.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (neg.f64 (pow.f64 (+.f64 1 x) -2))) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
Outputs
(*.f64 (pow.f64 x -3) 2)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))
Calls

3 calls:

82.0ms
x
38.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
36.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.2b3x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 837 to 621 computations (25.8% saved)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
24.0ms
365.63712801122784
13305.34583500944
20.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes144.0ms (1.3%)

Counts
36 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 2 x)) x) (+.f64 1 x)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (neg.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1)) (/.f64 1 (*.f64 (+.f64 x 1) (neg.f64 (/.f64 x (/.f64 (-.f64 2 x) (+.f64 x -1)))))))
(/.f64 (fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (-.f64 1 x)) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (/.f64 (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 1 x) (*.f64 (-.f64 2 x) (-.f64 1 (*.f64 x x)))) (*.f64 (-.f64 2 x) (-.f64 1 x))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x)) (+.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 -2 x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x (*.f64 (+.f64 x -1) -2))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))) (pow.f64 (+.f64 1 x) -2)) (-.f64 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)) (/.f64 1 (+.f64 1 x))))
(pow.f64 (/.f64 (cbrt.f64 2) x) 3)
(/.f64 1 (pow.f64 (/.f64 x (cbrt.f64 2)) 3))
Outputs
(*.f64 (pow.f64 x -3) 2)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
Calls

3 calls:

74.0ms
x
27.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
27.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.3b3x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 658 to 478 computations (27.4% saved)

bsearch42.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
365.63712801122784
13305.34583500944
20.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes130.0ms (1.2%)

Counts
28 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
(*.f64 (pow.f64 x -3) 2)
(/.f64 2 (pow.f64 x 3))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (fma.f64 (+.f64 x -1) -2 x) (+.f64 x -1)) x))
(/.f64 (fma.f64 x -1 (*.f64 (+.f64 1 x) (/.f64 (neg.f64 (-.f64 2 x)) (+.f64 x -1)))) (*.f64 (+.f64 1 x) (neg.f64 x)))
(/.f64 (+.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) x) 1) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)) (+.f64 1 x)) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(/.f64 (fma.f64 (+.f64 x -1) (*.f64 (/.f64 1 (-.f64 2 x)) x) (+.f64 1 x)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(*.f64 (pow.f64 x -3) 2)
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
Calls

3 calls:

55.0ms
x
40.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
24.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.3b3x
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.3b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 421 to 312 computations (25.9% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.363317450607618e-14
8.4908565367494e-13
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes204.0ms (1.9%)

Counts
21 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(+.f64 (*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (-.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (+.f64 (-.f64 1 x) (*.f64 (*.f64 x -1/2) -1)) (*.f64 (*.f64 x -1/2) (-.f64 1 x))))
(/.f64 (+.f64 (+.f64 1 x) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) 1)) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))
Outputs
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))
(/.f64 2 (*.f64 (*.f64 x x) x))
Calls

3 calls:

67.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
67.0ms
x
36.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 291 to 220 computations (24.4% saved)

bsearch89.0ms (0.8%)

Algorithm
2×binary-search
Steps
TimeLeftRight
46.0ms
13305.34583500944
39031.99044145443
43.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes161.0ms (1.5%)

Counts
17 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (*.f64 (/.f64 -1 (-.f64 1 x)) (-.f64 2 x)) x))
Outputs
(/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(/.f64 2 (*.f64 (*.f64 x x) x))
Calls

3 calls:

85.0ms
x
33.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
32.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.4b3x
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 199 to 152 computations (23.6% saved)

bsearch102.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
13305.34583500944
39031.99044145443
82.0ms
-51841659923.4166
-1972.7549491055456
Compiler

Compiled 20 to 16 computations (20% saved)

regimes77.0ms (0.7%)

Counts
15 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Outputs
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
(/.f64 2 (*.f64 (*.f64 x x) x))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))
Calls

3 calls:

34.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
24.0ms
x
15.0ms
(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.5b3x
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
0.5b3(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
Compiler

Compiled 165 to 127 computations (23% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.363317450607618e-14
8.4908565367494e-13
0.0ms
-2.605017724970071e-10
-5e-324
Compiler

Compiled 20 to 16 computations (20% saved)

regimes24.0ms (0.2%)

Counts
12 → 3
Calls
Call 1
Inputs
-1
(neg.f64 x)
(/.f64 -2 x)
(+.f64 -1 (/.f64 -1 x))
(-.f64 (/.f64 -2 x) x)
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
(+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 -1 (/.f64 -2 x)))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x)))
Outputs
(/.f64 2 (*.f64 (*.f64 x x) x))
(-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x)))
(/.f64 2 (*.f64 (*.f64 x x) x))
Calls

1 calls:

21.0ms
x
Results
ErrorSegmentsBranch
0.9b3x
Compiler

Compiled 88 to 66 computations (25% saved)

bsearch57.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.05591673386039308
365.63712801122784
37.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes22.0ms (0.2%)

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

1 calls:

20.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch65.0ms (0.6%)

Algorithm
2×binary-search
Steps
TimeLeftRight
44.0ms
0.05591673386039308
365.63712801122784
20.0ms
-1972.7549491055456
-0.00011080884447464216
Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.1%)

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

1 calls:

5.0ms
x
Results
ErrorSegmentsBranch
31.1b1x
Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes4.0ms (0%)

Accuracy

Total -0.7b remaining (-1.1%)

Threshold costs -0.7b (-1.1%)

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

1 calls:

3.0ms
x
Results
ErrorSegmentsBranch
61.8b1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify59.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
14×*-commutative_binary64
11×sub-neg_binary64
7×neg-sub0_binary64
7×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101737
1138737
2154737
3172737
4183737
5188737
6190737
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -20) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 944473296573929/18889465931478580854784) (+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (*.f64 (pow.f64 x -3) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (/.f64 2 (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 (*.f64 x x) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 (*.f64 x x) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (/.f64 -2 x) x) (/.f64 2 (*.f64 (*.f64 x x) x))))
(/.f64 -2 x)
-1
Outputs
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -20) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 944473296573929/18889465931478580854784) (+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -20) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 944473296573929/18889465931478580854784) (+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -20) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (+.f64 x -1)) (/.f64 -2 x))) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 944473296573929/18889465931478580854784) (+.f64 (/.f64 2 (pow.f64 x 5)) (*.f64 2 (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 2 (pow.f64 x -3)) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3)))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 (pow.f64 x -3) 2) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))) (+.f64 1 x)))))
(if (<=.f64 x -6794990049482061/131072) (*.f64 2 (pow.f64 x -3)) (if (<=.f64 x 6432356380719469/17592186044416) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x)) (/.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -2 x) (/.f64 -8 (pow.f64 x 3)))) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x)))))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (*.f64 (pow.f64 x -3) 2) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 3961408125713217/79228162514264337593543950336) (*.f64 2 (pow.f64 x -3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 3961408125713217/79228162514264337593543950336) (*.f64 2 (pow.f64 x -3)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 (*.f64 (+.f64 x -1) -2) x) (+.f64 x -1)) x)) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (+.f64 x (*.f64 (+.f64 x -1) -2)) (+.f64 x -1)) x)) (/.f64 2 (*.f64 x (*.f64 x x)))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -6794990049482061/131072) (/.f64 (/.f64 -2 x) (*.f64 (+.f64 1 x) (*.f64 x (/.f64 (+.f64 x -1) (-.f64 2 x))))) (if (<=.f64 x 3657345614293463/274877906944) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (/.f64 2 (*.f64 x (*.f64 x x)))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))) 3961408125713217/79228162514264337593543950336) (/.f64 2 (*.f64 (*.f64 x x) x)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (+.f64 x -1))) 3961408125713217/79228162514264337593543950336) (/.f64 2 (*.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))))
(if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) -7737125245533627/38685626227668133590597632) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x)) (if (<=.f64 (+.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -2 x)) (/.f64 1 (+.f64 x -1))) 3961408125713217/79228162514264337593543950336) (/.f64 2 (*.f64 x (*.f64 x x))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (/.f64 (-.f64 2 x) (+.f64 x -1)) x))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 (*.f64 x x) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (*.f64 -2 x) (*.f64 2 (/.f64 1 x))) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 x (*.f64 x x))) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 x -2) (*.f64 -2 (/.f64 1 x))) (/.f64 2 (*.f64 x (*.f64 x x)))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 x (*.f64 x x))) (if (<=.f64 x 8058450616878127/144115188075855872) (+.f64 (*.f64 x -2) (*.f64 2 (/.f64 -1 x))) (/.f64 2 (*.f64 x (*.f64 x x)))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 (*.f64 x x) x)) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (/.f64 -2 x) x) (/.f64 2 (*.f64 (*.f64 x x) x))))
(if (<=.f64 x -4338134010588397/2199023255552) (/.f64 2 (*.f64 x (*.f64 x x))) (if (<=.f64 x 8058450616878127/144115188075855872) (-.f64 (/.f64 -2 x) x) (/.f64 2 (*.f64 x (*.f64 x x)))))
(/.f64 -2 x)
-1
Compiler

Compiled 512 to 381 computations (25.6% saved)

soundness261.0ms (2.4%)

Algorithm
4×egg-herbie
Rules
531×fma-neg_binary64
487×sub-neg_binary64
328×fma-def_binary64
312×times-frac_binary64
253×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
076755
1231730
2644719
31936716
45432713
01122
12222
23822
36422
412222
523622
639522
751622
862222
964222
Stop Event
1×saturated
1×node limit
1×saturated
1×saturated
Compiler

Compiled 621 to 516 computations (16.9% saved)

end272.0ms (2.5%)

Compiler

Compiled 502 to 362 computations (27.9% saved)

Profiling

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