Details

Time bar (total: 5.5s)

analyze6.0ms (0.1%)

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

Compiled 15 to 11 computations (26.7% saved)

sample2.3s (41.1%)

Results
978.0ms2052×body1024valid
786.0ms4914×body256valid
380.0ms1089×body512valid
124.0ms201×body2048valid

preprocess141.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
859×fma-neg_binary64
771×fma-def_binary64
321×div-sub_binary64
182×associate-/l*_binary64
155×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620719
738119
897219
9230219
10293519
11325219
12406719
13436319
14440519
15440719
16440919
17441919
18441919
011
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify134.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
859×fma-neg_binary64
771×fma-def_binary64
321×div-sub_binary64
182×associate-/l*_binary64
155×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33419
46019
510019
620719
738119
897219
9230219
10293519
11325219
12406719
13436319
14440519
15440719
16440919
17441919
18441919
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1)))
(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1)))

eval1.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
29.8b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓3.0b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

series3.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
509×log-prod_binary64
470×fma-def_binary64
389×pow-prod-down_binary64
286×fma-neg_binary64
267×log-div_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
119529
2324429
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(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 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1 x -1) (/.f64 1 (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))))) (#(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 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 (pow.f64 x 3) -1)) (+.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (fma.f64 -1 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))))

simplify68.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
695×fma-def_binary64
522×associate-/l/_binary64
514×cancel-sign-sub-inv_binary64
382×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052324
1162301
2465298
31316297
43860294
Stop Event
1×node limit
Counts
210 → 213
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(fma.f64 x (+.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(fma.f64 3 (pow.f64 x 3) (fma.f64 x (+.f64 3 x) 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (*.f64 x x))) (/.f64 3 x)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(fma.f64 x (fma.f64 x -2 -2) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))) 1))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (pow.f64 x 3)) (+.f64 1 (/.f64 2 (*.f64 x x)))))

eval179.0ms (3.2%)

Compiler

Compiled 5370 to 4002 computations (25.5% saved)

prune32.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2076213
Fresh000
Picked011
Done000
Total2077214
Error
0b
Counts
214 → 7
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶31.3b
(+.f64 (*.f64 3 x) 1)
30.9b
1
▶32.3b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
▶31.6b
(/.f64 -3 x)
▶30.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
▶29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 126 to 92 computations (27% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (+.f64 x -1))
✓0.0b
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))
✓0.5b
(expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))
✓3.0b
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 54 to 39 computations (27.8% saved)

series4.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))
1.0ms
x
@inf
(expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))
0.0ms
x
@0
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
0.0ms
x
@-inf
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
0.0ms
x
@-inf
(expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))

rewrite116.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
540×log-prod_binary64
421×fma-def_binary64
372×pow-prod-down_binary64
286×pow2_binary64
282×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
123051
2344751
Stop Event
1×node limit
Counts
4 → 258
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
(expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))
(/.f64 (+.f64 x 1) (+.f64 x -1))
Outputs
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egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (/.f64 1 (+.f64 x -1))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))) (log.f64 (-.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(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 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))))) (#(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 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x -1) -1/2) (/.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (+.f64 x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 (+.f64 x -1))) 1))))))

simplify86.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
668×distribute-rgt-out_binary64
446×fma-def_binary64
407×associate-*l*_binary64
329×associate-*r*_binary64
304×sub-neg_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
088708
1267657
2784622
32338615
46082612
Stop Event
1×node limit
Counts
306 → 262
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (exp.f64 -1))) 1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2)))))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (E.f64)) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2)))))) 1)
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 3 x (fma.f64 x x 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(*.f64 (fma.f64 3 x 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 -1 (pow.f64 x 4)))))
(+.f64 (/.f64 -1 (*.f64 x x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 -3 x))))
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (exp.f64 -1)) 1)
(+.f64 (*.f64 (*.f64 -2 (exp.f64 -1)) x) (expm1.f64 -1))
(fma.f64 (*.f64 (exp.f64 -1) -2) x (expm1.f64 -1))
(fma.f64 x (*.f64 (exp.f64 -1) -2) (expm1.f64 -1))
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (exp.f64 -1))) 1)
(+.f64 (fma.f64 -2 (*.f64 x (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (exp.f64 -1))) -1)
(+.f64 (fma.f64 (*.f64 (exp.f64 -1) -2) x (*.f64 (pow.f64 x 3) (*.f64 (exp.f64 -1) 2/3))) (expm1.f64 -1))
(+.f64 (expm1.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 x -2) (*.f64 (pow.f64 x 3) 2/3))))
(+.f64 (expm1.f64 -1) (*.f64 (*.f64 x (exp.f64 -1)) (+.f64 (*.f64 x (*.f64 x 2/3)) -2)))
(-.f64 (+.f64 (*.f64 -2 (*.f64 (exp.f64 -1) x)) (+.f64 (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 3))) (+.f64 (exp.f64 -1) (*.f64 2/3 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) 1)
(+.f64 (fma.f64 -2 (*.f64 x (exp.f64 -1)) (+.f64 (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (exp.f64 -1)) (*.f64 2/3 (*.f64 (pow.f64 x 4) (exp.f64 -1))))) -1)
(+.f64 -1 (fma.f64 -2 (*.f64 x (exp.f64 -1)) (fma.f64 2/3 (*.f64 (pow.f64 x 3) (exp.f64 -1)) (fma.f64 (*.f64 (exp.f64 -1) 2/3) (pow.f64 x 4) (exp.f64 -1)))))
(+.f64 (*.f64 (*.f64 (exp.f64 -1) 2/3) (+.f64 (pow.f64 x 4) (pow.f64 x 3))) (fma.f64 x (*.f64 (exp.f64 -1) -2) (expm1.f64 -1)))
(+.f64 (expm1.f64 -1) (*.f64 (exp.f64 -1) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 2/3 (*.f64 x 2/3))) (*.f64 x -2))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (E.f64)) 1)
(+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) -1)
(fma.f64 2 (/.f64 (E.f64) x) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) (*.f64 4 (/.f64 (E.f64) (*.f64 x x)))) -1)
(+.f64 -1 (fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64))))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 (E.f64) x) (+.f64 (/.f64 4 x) 2)))
(+.f64 (E.f64) (fma.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2)))))) 1)
(+.f64 (+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (*.f64 4 (/.f64 (E.f64) (*.f64 x x))))) -1)
(fma.f64 2 (/.f64 (E.f64) x) (+.f64 (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 2 (/.f64 (E.f64) x) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 4 (/.f64 22/3 x)))))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 (E.f64) x) (+.f64 (+.f64 (/.f64 22/3 (*.f64 x x)) (/.f64 4 x)) 2)))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (E.f64)) 1)
(+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) -1)
(fma.f64 2 (/.f64 (E.f64) x) (expm1.f64 1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2))))) 1)
(+.f64 (+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) (*.f64 4 (/.f64 (E.f64) (*.f64 x x)))) -1)
(+.f64 -1 (fma.f64 2 (/.f64 (E.f64) x) (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (E.f64))))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 (E.f64) x) (+.f64 (/.f64 4 x) 2)))
(+.f64 (E.f64) (fma.f64 (/.f64 (E.f64) x) (+.f64 2 (/.f64 4 x)) -1))
(-.f64 (+.f64 (*.f64 2 (/.f64 (E.f64) x)) (+.f64 (E.f64) (+.f64 (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3))) (*.f64 4 (/.f64 (E.f64) (pow.f64 x 2)))))) 1)
(+.f64 (+.f64 (fma.f64 2 (/.f64 (E.f64) x) (E.f64)) (fma.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)) (*.f64 4 (/.f64 (E.f64) (*.f64 x x))))) -1)
(fma.f64 2 (/.f64 (E.f64) x) (+.f64 (fma.f64 4 (/.f64 (E.f64) (*.f64 x x)) (*.f64 22/3 (/.f64 (E.f64) (pow.f64 x 3)))) (expm1.f64 1)))
(+.f64 (expm1.f64 1) (fma.f64 2 (/.f64 (E.f64) x) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (+.f64 4 (/.f64 22/3 x)))))
(+.f64 (expm1.f64 1) (*.f64 (/.f64 (E.f64) x) (+.f64 (+.f64 (/.f64 22/3 (*.f64 x x)) (/.f64 4 x)) 2)))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (*.f64 x (+.f64 (fma.f64 x x 1) x)) -1)
(fma.f64 -2 (fma.f64 x x (+.f64 x (pow.f64 x 3))) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 2 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 2 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (*.f64 x (+.f64 (fma.f64 x x 1) x)) -1)
(fma.f64 -2 (fma.f64 x x (+.f64 x (pow.f64 x 3))) -1)
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 2 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 (/.f64 2 x) x)) (/.f64 2 (pow.f64 x 3))))
(+.f64 (+.f64 1 (/.f64 2 x)) (*.f64 (/.f64 (/.f64 1 x) x) (+.f64 2 (/.f64 2 x))))

localize4.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 3 x) 1)
Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite51.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
560×pow1_binary64
522×log1p-expm1-u_binary64
522×expm1-log1p-u_binary64
521×add-log-exp_binary64
512×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
11245
214465
Stop Event
1×node limit
Counts
1 → 32
Calls
Call 1
Inputs
(+.f64 (*.f64 3 x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 3 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 x x) 9) (fma.f64 3 x -1)) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 3 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 3 x 1)) (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 2) (cbrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 3 x 1)) (sqrt.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (/.f64 1 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))) (+.f64 1 (pow.f64 (*.f64 3 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 3 x -1) (+.f64 (*.f64 (*.f64 x x) 9) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x x) 9) (*.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1) (fma.f64 3 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 3 x) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) (-.f64 1 (*.f64 3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) 9) -1)) (neg.f64 (fma.f64 3 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x x) 9)) (-.f64 1 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 3 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 3 x 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 3 x 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 3 x 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 3 x 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 3 x 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 3 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 3 x)) 2) (cbrt.f64 (*.f64 3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 3 x)) (sqrt.f64 (*.f64 3 x)) 1)))))

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059
189
Stop Event
1×saturated
Counts
35 → 34
Calls
Call 1
Inputs
1
(*.f64 3 x)
(*.f64 3 x)
Outputs
1
(*.f64 3 x)
(*.f64 3 x)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓0.1b
(/.f64 (/.f64 1 x) x)
Compiler

Compiled 24 to 16 computations (33.3% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/.f64 (/.f64 1 x) x)
1.0ms
x
@inf
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
1.0ms
x
@-inf
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
1.0ms
x
@0
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
1.0ms
x
@inf
(/.f64 (/.f64 1 x) x)

rewrite148.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
695×prod-diff_binary64
640×unpow-prod-down_binary64
393×log-prod_binary64
287×egg-rr
270×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0817
118614
2268414
Stop Event
1×node limit
Counts
2 → 367
Calls
Call 1
Inputs
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify71.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
844×div-sub_binary64
510×distribute-neg-frac_binary64
434×unswap-sqr_binary64
376×times-frac_binary64
356×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015234
130216
261216
3118216
4282216
5860216
63724216
77242216
Stop Event
1×node limit
Counts
391 → 374
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (pow.f64 x 2))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x)))

localize54.0ms (1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
✓7.8b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
✓13.6b
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
Compiler

Compiled 54 to 35 computations (35.2% saved)

series4.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite122.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
591×log-prod_binary64
444×fma-def_binary64
294×pow2_binary64
272×fma-neg_binary64
226×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01054
122936
2358736
Stop Event
1×node limit
Counts
3 → 257
Calls
Call 1
Inputs
(/.f64 (+.f64 x 1) (fma.f64 x x -1))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 -1 (+.f64 x -1)) (+.f64 x 1) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x -1) -1/2) (*.f64 (pow.f64 (+.f64 x -1) -1/2) 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1 x -1) (/.f64 1 (neg.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x 1) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x -1)) 1 (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x -1))) 2) (cbrt.f64 (/.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x -1))) (sqrt.f64 (/.f64 x (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) (fma.f64 x x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) (fma.f64 x x -1)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) -2) (/.f64 (+.f64 x 1) (cbrt.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x -1) -1/2) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 (fma.f64 x x -1))) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 (fma.f64 x x -1))) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (*.f64 (pow.f64 (+.f64 x -1) -1/2) (sqrt.f64 x)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (*.f64 (sqrt.f64 x) (pow.f64 (+.f64 x -1) -1/2)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x -1)) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (+.f64 x -1)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (+.f64 x -1) -2))) (/.f64 1 (cbrt.f64 (+.f64 x -1))) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (+.f64 x -1) -1/2)) (pow.f64 (+.f64 x -1) -1/2) (/.f64 1 (+.f64 x -1)))))))

simplify94.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
478×fma-neg_binary64
367×sub-neg_binary64
309×fma-def_binary64
282×distribute-rgt-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
064503
1197472
2577465
31740462
44900459
Stop Event
1×node limit
Counts
293 → 297
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
Outputs
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x)) 1)
(+.f64 (neg.f64 (*.f64 x x)) (fma.f64 -1 x -1))
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 -1 (+.f64 (*.f64 x x) x))) -1)
(fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (fma.f64 x x x) -1))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 x) (/.f64 (/.f64 1 x) x))
(+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 3)))))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 x 3 (fma.f64 x x 1))
(fma.f64 x x (fma.f64 x 3 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 3 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 2))))
(fma.f64 3 x (fma.f64 3 (pow.f64 x 3) (+.f64 1 (*.f64 x x))))
(fma.f64 x 3 (fma.f64 3 (pow.f64 x 3) (fma.f64 x x 1)))
(fma.f64 3 (+.f64 x (pow.f64 x 3)) (fma.f64 x x 1))
(*.f64 (fma.f64 x 3 1) (fma.f64 x x 1))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
(/.f64 -3 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (-.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(fma.f64 x -2 -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (*.f64 -2 x)) 1)
(+.f64 (*.f64 -2 (+.f64 (*.f64 x x) x)) -1)
(fma.f64 -2 (fma.f64 x x x) -1)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 x 2)) (+.f64 (*.f64 -2 x) (*.f64 -2 (pow.f64 x 3)))) 1)
(+.f64 (fma.f64 -2 (*.f64 x x) (*.f64 -2 (+.f64 x (pow.f64 x 3)))) -1)
(+.f64 -1 (*.f64 -2 (+.f64 (fma.f64 x x x) (pow.f64 x 3))))
(fma.f64 -2 (+.f64 x (*.f64 x (fma.f64 x x x))) -1)
(fma.f64 -2 (+.f64 (pow.f64 x 3) (fma.f64 x x x)) -1)
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))
1
(+.f64 1 (*.f64 2 (/.f64 1 x)))
(+.f64 1 (/.f64 2 x))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))))
(+.f64 (/.f64 2 x) (+.f64 1 (/.f64 2 (*.f64 x x))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(+.f64 1 (+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3)))))
(+.f64 1 (+.f64 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x))) (/.f64 2 (pow.f64 x 3))))

eval1.1s (19.5%)

Compiler

Compiled 23738 to 17567 computations (26% saved)

prune205.0ms (3.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New9652967
Fresh101
Picked011
Done055
Total9668974
Error
0b
Counts
974 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓31.3b
(+.f64 (*.f64 3 x) 1)
▶62.3b
(*.f64 3 x)
30.9b
1
✓32.3b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓31.6b
(/.f64 -3 x)
✓30.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

localize3.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done066
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓31.3b
(+.f64 (*.f64 3 x) 1)
✓62.3b
(*.f64 3 x)
30.9b
1
✓32.3b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓31.6b
(/.f64 -3 x)
✓30.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done077
Total088
Error
0b
Counts
8 → 8
Alt Table
Click to see full alt table
StatusErrorProgram
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
✓31.3b
(+.f64 (*.f64 3 x) 1)
✓62.3b
(*.f64 3 x)
30.9b
1
✓32.3b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓31.6b
(/.f64 -3 x)
✓30.2b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
✓29.8b
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Compiler

Compiled 75 to 55 computations (26.7% saved)

regimes31.0ms (0.6%)

Counts
9 → 2
Calls
Call 1
Inputs
1
1
(*.f64 3 x)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
(-.f64 (/.f64 x (+.f64 x 1)) (log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))
Outputs
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1)))
Calls

3 calls:

19.0ms
x
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b2(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b2(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 99 to 70 computations (29.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9886641566949761
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes24.0ms (0.4%)

Counts
7 → 2
Calls
Call 1
Inputs
1
1
(*.f64 3 x)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Calls

3 calls:

15.0ms
x
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b3x
0.0b2(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b2(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 66 to 47 computations (28.8% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9886641566949761
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.3%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.3b3x
Compiler

Compiled 25 to 18 computations (28% saved)

bsearch40.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.47159077191104254
886941343783.3549
20.0ms
-536393854973384900.0
-0.0037833315486437784
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes15.0ms (0.3%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
0.4b3x
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch41.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.47159077191104254
886941343783.3549
21.0ms
-536393854973384900.0
-0.0037833315486437784
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes13.0ms (0.2%)

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

1 calls:

12.0ms
x
Results
ErrorSegmentsBranch
0.6b3x
Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch41.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.47159077191104254
886941343783.3549
21.0ms
-536393854973384900.0
-0.0037833315486437784
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.4b remaining (-101.6%)

Threshold costs -31.4b (-101.6%)

Counts
3 → 1
Calls
Call 1
Inputs
1
1
(*.f64 3 x)
Outputs
1
Calls

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
30.9b1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify14.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
036204
152204
273204
389204
4100204
5104204
6105204
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) (+.f64 (*.f64 3 x) 1) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) 1 (/.f64 -3 x)))
1
Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (fma.f64 x x -1)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 (+.f64 x 1) (fma.f64 x x -1)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 0) (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 (+.f64 x 1) (/.f64 (-.f64 -1 x) (fma.f64 x x -1)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))) 0) (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (+.f64 x -1))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))) 0) (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x)) (+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (-.f64 -1 x) (+.f64 x -1))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) (+.f64 (*.f64 3 x) 1) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8495424098599743/18014398509481984) (+.f64 1 (*.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8495424098599743/18014398509481984) (+.f64 1 (*.f64 x 3)) (+.f64 (/.f64 -3 x) (/.f64 (/.f64 -1 x) x))))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8495424098599743/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x)))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8699314276966136832/18446744073709551616) 1 (/.f64 -3 x)))
(if (<=.f64 x -536393854973384896) (/.f64 -3 x) (if (<=.f64 x 8495424098599743/18014398509481984) 1 (/.f64 -3 x)))
1
Compiler

Compiled 147 to 107 computations (27.2% saved)

soundness95.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
811×times-frac_binary64
695×fma-def_binary64
522×associate-/l/_binary64
514×cancel-sign-sub-inv_binary64
382×associate-/l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052324
1162301
2465298
31316297
43860294
Stop Event
1×node limit
Compiler

Compiled 124 to 98 computations (21% saved)

end122.0ms (2.2%)

Compiler

Compiled 142 to 102 computations (28.2% saved)

Profiling

Loading profile data...