Details

Time bar (total: 8.5s)

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)

sample1.9s (22.3%)

Results
643.0ms4948×body256valid
635.0ms2061×body1024valid
442.0ms1020×body512valid
117.0ms227×body2048valid

preprocess141.0ms (1.7%)

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)

simplify137.0ms (1.6%)

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
33.0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶33.0b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (+.f64 x 1) (-.f64 x 1))
✓0.0b
(/.f64 x (+.f64 x 1))
✓3.7b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 34 to 23 computations (32.4% saved)

series28.0ms (0.3%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
24.0ms
x
@inf
(/.f64 (+.f64 x 1) (-.f64 x 1))
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))

rewrite121.0ms (1.4%)

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
0836
119536
2324436
Stop Event
1×node limit
Counts
3 → 225
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 x (+.f64 x 1))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify77.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
820×times-frac_binary64
422×sub-neg_binary64
343×fma-neg_binary64
319×fma-def_binary64
258×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064466
1205439
2589432
31731429
44978429
Stop Event
1×node limit
Counts
261 → 265
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))))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
-1
(-.f64 (*.f64 -2 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 -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 -3 x) (/.f64 1 (*.f64 x 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 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.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 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 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 -3 x) (/.f64 1 (*.f64 x 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 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.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 -3 x) (/.f64 1 (*.f64 x x))) (/.f64 -3 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 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))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 (*.f64 x x) (+.f64 -1 x)))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 x))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 3)) -1)))
-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 (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 (/.f64 2 (*.f64 x x)) 1))
(+.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 1 (/.f64 2 x)) (+.f64 (/.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 (/.f64 2 (*.f64 x x)) 1))
(+.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 1 (/.f64 2 x)) (+.f64 (/.f64 2 (*.f64 x x)) (/.f64 2 (pow.f64 x 3))))

eval159.0ms (1.9%)

Compiler

Compiled 6319 to 4676 computations (26% saved)

prune89.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New25312265
Fresh000
Picked011
Done000
Total25313266
Error
0.0b
Counts
266 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶32.8b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
27.9b
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
33.0b
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
▶27.8b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
33.0b
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
28.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
33.4b
(fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
✓33.0b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶36.2b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
35.8b
1
▶27.7b
(/.f64 -3 x)
33.5b
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
▶36.3b
(+.f64 (*.f64 3 x) 1)
Compiler

Compiled 356 to 264 computations (25.8% saved)

localize4.0ms (0%)

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
0.0ms
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)

rewrite53.0ms (0.6%)

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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 25 to 17 computations (32% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite69.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
995×pow1_binary64
930×add-log-exp_binary64
930×log1p-expm1-u_binary64
930×expm1-log1p-u_binary64
87×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
116513
2250713
Stop Event
1×node limit
Counts
1 → 37
Calls
Call 1
Inputs
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 1 (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.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 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 2) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2) (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (/.f64 1 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3)) (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 3))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (+.f64 x 1) (+.f64 x -1)) 2))) (neg.f64 (+.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))) (*.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))) (-.f64 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (/.f64 (+.f64 x 1) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 (+.f64 -1 (neg.f64 x)) (+.f64 x -1)))))))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
823×fma-neg_binary64
788×fma-def_binary64
549×cancel-sign-sub-inv_binary64
536×unswap-sqr_binary64
521×associate-*l*_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
025105
178105
2192104
356299
4158696
5506192
Stop Event
1×node limit
Counts
49 → 51
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1))
(fma.f64 3 x (fma.f64 x (*.f64 x 2) 1))
(fma.f64 x (fma.f64 x 2 3) 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 2 (+.f64 (*.f64 x x) (pow.f64 x 3)) (fma.f64 3 x 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x (fma.f64 x x x)) 1))
(fma.f64 x (fma.f64 x (fma.f64 x 2 2) 3) 1)
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))
x
(-.f64 x 1)
(+.f64 x -1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(+.f64 x (+.f64 -1 (/.f64 -2 x)))
(+.f64 -1 (-.f64 x (/.f64 2 x)))
(+.f64 (+.f64 x -1) (/.f64 -2 x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 x (+.f64 (+.f64 -1 (/.f64 -2 x)) (/.f64 -2 (*.f64 x x))))
(+.f64 x (-.f64 -1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(+.f64 (+.f64 x -1) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(-.f64 x (fma.f64 (/.f64 1 x) (+.f64 2 (/.f64 2 x)) 1))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
✓0.0b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓0.0b
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
✓3.6b
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
Compiler

Compiled 69 to 47 computations (31.9% saved)

series6.0ms (0.1%)

Counts
4 → 48
Calls

12 calls:

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

rewrite152.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
778×log-prod_binary64
556×fma-def_binary64
364×log-div_binary64
332×fma-neg_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01179
127160
2479860
Stop Event
1×node limit
Counts
4 → 384
Calls
Call 1
Inputs
(-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 x (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) 1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 2) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (+.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x 1) 2)) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))) (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (pow.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) 2) (cbrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (sqrt.f64 (-.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3)) (/.f64 1 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 -1 (+.f64 x (/.f64 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(/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 x 1) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (*.f64 (+.f64 x 1) x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (/.f64 1 x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) (*.f64 (/.f64 1 x) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) x (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 x 1) x) 1 (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (*.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 1 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x -1 -1) (/.f64 1 (neg.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 x 1) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (+.f64 x 1) x) x) 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (cbrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x))) (cbrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (sqrt.f64 (/.f64 (*.f64 (+.f64 x 1) x) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (+.f64 x 1)) (/.f64 1 x) (/.f64 (+.f64 x 1) x))))) (#(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)) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (*.f64 (+.f64 x 1) x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 x 1) x))) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (+.f64 x 1) x) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (+.f64 x 1) x))) (sqrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (+.f64 x 1) x))))))

simplify68.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
653×times-frac_binary64
644×associate-*r*_binary64
452×cancel-sign-sub-inv_binary64
366×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3891388
42607377
Stop Event
1×node limit
Counts
432 → 412
Calls
Call 1
Inputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
x
(-.f64 x (/.f64 1 x))
(-.f64 x (/.f64 1 x))
(-.f64 x (/.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))))))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
x
(+.f64 2 x)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 (/.f64 1 x) x))
Outputs
(/.f64 -1 x)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (/.f64 -1 x))
(-.f64 -3 (/.f64 1 x))
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
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))
(fma.f64 x (+.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))
(fma.f64 x (+.f64 x 3) (fma.f64 3 (pow.f64 x 3) 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))
(-.f64 (/.f64 (/.f64 -1 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)))
(-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 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))))))
(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 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.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))
(-.f64 (/.f64 (/.f64 -1 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)))
(-.f64 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 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))))))
(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 (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 -1 (/.f64 3 x)) (/.f64 -3 x)))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 x (+.f64 (/.f64 1 x) 2))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
✓0.2b
(/.f64 -3 (pow.f64 x 3))
✓0.5b
(/.f64 -1 (*.f64 x x))
✓6.2b
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
Compiler

Compiled 48 to 32 computations (33.3% saved)

series5.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

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

rewrite117.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
683×fma-def_binary64
613×log-prod_binary64
368×fma-neg_binary64
353×log-div_binary64
239×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01249
128842
2436642
Stop Event
1×node limit
Counts
4 → 233
Calls
Call 1
Inputs
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(/.f64 -1 (*.f64 x x))
(/.f64 -3 (pow.f64 x 3))
(+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -3 x) (*.f64 3 (pow.f64 x -3))) (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -3 (*.f64 -3 (pow.f64 x 3))) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 -3 x) 3)) (-.f64 (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 9 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 -3 x) 3)) (+.f64 (/.f64 9 (pow.f64 x 6)) (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (+.f64 (/.f64 -3 x) (*.f64 3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 x -3 (*.f64 -3 (pow.f64 x 3)))) (neg.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 -3 x) 3))) (neg.f64 (-.f64 (+.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 9 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 9 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (neg.f64 (+.f64 (/.f64 -3 x) (*.f64 3 (pow.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (pow.f64 x 3) (*.f64 (neg.f64 x) -3)) (*.f64 (neg.f64 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (*.f64 x -1/3) -3)) (*.f64 (*.f64 x -1/3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (neg.f64 (pow.f64 x 3)) (*.f64 x 3)) (*.f64 x (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (neg.f64 (pow.f64 x 3)) (*.f64 (neg.f64 x) 3)) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 (pow.f64 x 3) (*.f64 (*.f64 x -1/3) 3)) (*.f64 (*.f64 x -1/3) (neg.f64 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 (pow.f64 x 3) -1/3) x) (*.f64 x (*.f64 (pow.f64 x 3) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 (pow.f64 x 3) -1/3) (*.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 3) -1/3 (*.f64 (*.f64 x -1/3) 1)) (*.f64 (*.f64 x -1/3) (*.f64 (pow.f64 x 3) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 x (*.f64 (neg.f64 (pow.f64 x 3)) -3)) (*.f64 (neg.f64 (pow.f64 x 3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 (*.f64 (pow.f64 x 3) -1/3) -3)) (*.f64 (*.f64 (pow.f64 x 3) -1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (neg.f64 x) (*.f64 (pow.f64 x 3) 3)) (*.f64 (pow.f64 x 3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (neg.f64 x) (*.f64 (neg.f64 (pow.f64 x 3)) 3)) (*.f64 (neg.f64 (pow.f64 x 3)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 x (*.f64 (*.f64 (pow.f64 x 3) -1/3) 3)) (*.f64 (*.f64 (pow.f64 x 3) -1/3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3 (*.f64 x -1/3) (pow.f64 x 3)) (*.f64 (pow.f64 x 3) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3 (*.f64 x -1/3) (*.f64 (neg.f64 (pow.f64 x 3)) 1)) (*.f64 (neg.f64 (pow.f64 x 3)) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x -1/3 (*.f64 (*.f64 (pow.f64 x 3) -1/3) 1)) (*.f64 (*.f64 (pow.f64 x 3) -1/3) (*.f64 x -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 9 (*.f64 x x))) (-.f64 (*.f64 -3 (pow.f64 x -3)) (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 x -3 (*.f64 -3 (pow.f64 x 3))) x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (pow.f64 (exp.f64 -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -3 x)) (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3 x))) (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3)))) (exp.f64 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -3) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3)))) (+.f64 1 (expm1.f64 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (pow.f64 x -3) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 -1 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 (neg.f64 (pow.f64 x 3))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 x -3)) 1 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 (pow.f64 x -3)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 -3) x) (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (/.f64 (cbrt.f64 -3) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) -3 (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 (*.f64 -3 (pow.f64 x -3)))))))

simplify60.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
486×associate-/r*_binary64
438×associate-*l/_binary64
408×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029441
182405
2193405
3457405
41433384
56557384
Stop Event
1×node limit
Counts
269 → 247
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(/.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 3 (/.f64 1 (pow.f64 x 3))) (+.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 3 (/.f64 1 (pow.f64 x 3))) (+.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)))))
(/.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 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 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))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 3))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -3 x))

eval578.0ms (6.8%)

Compiler

Compiled 20082 to 14476 computations (27.9% saved)

prune174.0ms (2.1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New7888796
Fresh617
Picked101
Done145
Total79613809
Error
0b
Counts
809 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓33.0b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
28.2b
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
✓27.7b
(/.f64 -3 x)
✓36.3b
(+.f64 (*.f64 3 x) 1)
▶36.2b
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
▶27.9b
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
35.8b
1
▶27.8b
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
32.8b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (-.f64 x (/.f64 1 x)))
27.6b
(/.f64 -3 (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
▶36.7b
(-.f64 x -1)
✓36.2b
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 256 to 189 computations (26.2% saved)

localize38.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite125.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
724×log-prod_binary64
568×prod-diff_binary64
338×log-div_binary64
241×expm1-udef_binary64
241×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
128624
2448324
Stop Event
1×node limit
Counts
2 → 171
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (+.f64 x 1) x)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (*.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1 -1) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) 1) (/.f64 (hypot.f64 1 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (hypot.f64 1 (sqrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 x) 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1))))))

simplify68.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
884×fma-neg_binary64
654×associate-*l*_binary64
644×times-frac_binary64
415×cancel-sign-sub-inv_binary64
335×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033256
1100240
2286239
3848238
42568227
Stop Event
1×node limit
Counts
195 → 187
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 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
Outputs
1
(+.f64 (*.f64 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))
(*.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 (/.f64 -1 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)))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 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))))))
(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 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.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 (/.f64 -1 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)))
(-.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 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))))))
(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 -3 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 -1 x) x) (+.f64 (/.f64 -3 (pow.f64 x 3)) (-.f64 (/.f64 -3 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 -3 x) (fma.f64 (/.f64 1 (*.f64 x x)) (+.f64 -1 (/.f64 -3 x)) (/.f64 -1 (pow.f64 x 4))))
(/.f64 1 x)
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
1
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 1 x))

localize7.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiled 35 to 26 computations (25.7% saved)

series7.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite133.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
476×log-prod_binary64
381×fma-def_binary64
347×pow-prod-down_binary64
256×pow2_binary64
227×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
121030
2311630
Stop Event
1×node limit
Counts
3 → 219
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1))
(/.f64 1 (+.f64 x -1))
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 (-.f64 1 x)) (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x -1)) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 x (+.f64 x -1)) 1) (/.f64 -1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x -1) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 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fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (fma.f64 (/.f64 (neg.f64 (+.f64 1 x)) (+.f64 x -1)) 1 (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (fma.f64 (/.f64 1 (-.f64 1 x)) (+.f64 1 x) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) 2) (/.f64 (+.f64 1 x) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) (+.f64 x -1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1) (+.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) x)))))

simplify83.0ms (1%)

Algorithm
1×egg-herbie
Rules
404×associate-/r*_binary64
372×fma-neg_binary64
314×associate-/l/_binary64
287×fma-def_binary64
281×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056421
1167406
2471397
31440394
43951394
Stop Event
1×node limit
Counts
255 → 259
Calls
Call 1
Inputs
-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 -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 (*.f64 2 (pow.f64 x 2)) 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
x
(-.f64 x 1)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
Outputs
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -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)
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 1 (/.f64 2 x)) (/.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 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.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 1 (/.f64 2 x)) (/.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 2 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 2 (pow.f64 x 3)))))
(+.f64 (/.f64 2 x) (+.f64 (/.f64 2 (*.f64 x x)) (+.f64 1 (/.f64 2 (pow.f64 x 3)))))
-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 (fma.f64 -1 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 -1 (fma.f64 x x x) -1)
(-.f64 -1 (fma.f64 x x x))
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1 (pow.f64 x 3) (fma.f64 -1 (*.f64 x x) (neg.f64 x))) -1)
(+.f64 -1 (-.f64 (neg.f64 (fma.f64 x x x)) (pow.f64 x 3)))
(-.f64 (-.f64 -1 (fma.f64 x x x)) (pow.f64 x 3))
(*.f64 (fma.f64 x x 1) (-.f64 -1 x))
(*.f64 (-.f64 -1 x) (fma.f64 x x 1))
(/.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 x) (+.f64 (/.f64 1 (*.f64 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
(/.f64 1 x)
(+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))
(+.f64 (/.f64 1 (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 1 (*.f64 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 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))))
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(fma.f64 x 3 1)
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 2)) 1))
(fma.f64 3 x (fma.f64 2 (*.f64 x x) 1))
(fma.f64 x 3 (fma.f64 2 (*.f64 x x) 1))
(fma.f64 x 3 (fma.f64 x (*.f64 x 2) 1))
(+.f64 (*.f64 3 x) (+.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 (*.f64 2 (pow.f64 x 2)) 1)))
(fma.f64 3 x (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 x 3 (fma.f64 2 (pow.f64 x 3) (fma.f64 2 (*.f64 x x) 1)))
(fma.f64 2 (*.f64 x (fma.f64 x x x)) (fma.f64 x 3 1))
(fma.f64 x 3 (fma.f64 2 (*.f64 x (fma.f64 x x x)) 1))
x
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(-.f64 (+.f64 -1 x) (/.f64 2 x))
(+.f64 -1 (+.f64 x (/.f64 -2 x)))
(-.f64 -1 (-.f64 (/.f64 2 x) x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 x (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 x) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(+.f64 x (+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))))
x
(-.f64 x 1)
(+.f64 x -1)
(+.f64 -1 x)
(-.f64 x (+.f64 1 (*.f64 2 (/.f64 1 x))))
(-.f64 x (+.f64 1 (/.f64 2 x)))
(-.f64 (+.f64 -1 x) (/.f64 2 x))
(+.f64 -1 (+.f64 x (/.f64 -2 x)))
(-.f64 -1 (-.f64 (/.f64 2 x) x))
(-.f64 x (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 x)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 x (+.f64 1 (+.f64 (/.f64 2 x) (/.f64 2 (*.f64 x x)))))
(-.f64 x (+.f64 (+.f64 1 (/.f64 2 x)) (/.f64 2 (*.f64 x x))))
(+.f64 (+.f64 -1 x) (-.f64 (/.f64 -2 x) (/.f64 2 (*.f64 x x))))
(+.f64 x (+.f64 (-.f64 -1 (/.f64 2 x)) (/.f64 -2 (*.f64 x x))))

localize29.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 -1 (/.f64 -3 x))
✓0.0b
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
✓0.5b
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
Compiler

Compiled 37 to 23 computations (37.8% saved)

series8.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

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

rewrite122.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
506×log-prod_binary64
421×fma-def_binary64
378×pow-prod-down_binary64
286×pow2_binary64
267×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0939
121337
2334137
Stop Event
1×node limit
Counts
3 → 171
Calls
Call 1
Inputs
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(+.f64 -1 (/.f64 -3 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -1 (/.f64 -3 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 -1 (/.f64 3 x))) (/.f64 (*.f64 9 (pow.f64 x -2)) (+.f64 -1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (/.f64 -3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 2) (cbrt.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) (sqrt.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27 (pow.f64 x -3) -1) (/.f64 1 (+.f64 1 (fma.f64 9 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2))) (/.f64 1 (+.f64 -1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) 1) (-.f64 (sqrt.f64 (/.f64 -3 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 9 (pow.f64 x -2) (/.f64 -3 x))) (fma.f64 -27 (pow.f64 x -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -1 (/.f64 3 x)) (-.f64 1 (*.f64 9 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 x -3) -1) (+.f64 1 (fma.f64 9 (pow.f64 x -2) (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -27 (pow.f64 x -3) -1) (fma.f64 9 (pow.f64 x -2) (-.f64 1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2))) (+.f64 -1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -27 (pow.f64 x -3) -1)) (neg.f64 (+.f64 1 (fma.f64 9 (pow.f64 x -2) (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 9 (pow.f64 x -2)))) (neg.f64 (+.f64 -1 (/.f64 3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 9 (pow.f64 x -2) -1) (-.f64 (/.f64 -3 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (/.f64 -3 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 -3 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (/.f64 -3 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 -3 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (/.f64 -3 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 9 (pow.f64 x -2) (/.f64 -3 x))) (fma.f64 -27 (pow.f64 x -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 -1 (/.f64 3 x)) (-.f64 1 (*.f64 9 (pow.f64 x -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 -3 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 -1 (/.f64 -3 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (/.f64 -3 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 -1 (/.f64 -3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 -1 (/.f64 -3 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -3 x) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -3 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -3 x)) (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) -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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) -3 -1)))))

simplify85.0ms (1%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
486×associate-/r*_binary64
425×associate-*l/_binary64
408×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027477
173423
2180423
3463423
41461375
56577375
Stop Event
1×node limit
Counts
207 → 185
Calls
Call 1
Inputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -1 (pow.f64 x 2))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(/.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 3 (/.f64 1 (pow.f64 x 3))) (+.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 3 (/.f64 1 (pow.f64 x 3))) (+.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)))))
(/.f64 -3 x)
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
Outputs
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 -1 (*.f64 x x))
(/.f64 (/.f64 -1 x) x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 (/.f64 -1 x) x))
(-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(neg.f64 (+.f64 (*.f64 3 (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (/.f64 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.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 (/.f64 -1 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.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 (/.f64 -1 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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.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 3 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 x))))
(+.f64 (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x)) (/.f64 -3 (pow.f64 x 3)))
(+.f64 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 (pow.f64 x 3))) (/.f64 -3 x))
(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 3 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(/.f64 -3 x)
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
-1
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))
(neg.f64 (+.f64 1 (*.f64 3 (/.f64 1 x))))
(+.f64 -1 (neg.f64 (/.f64 3 x)))
(+.f64 -1 (/.f64 -3 x))

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 -3 (pow.f64 x 3))
✓0.2b
(/.f64 -1 (pow.f64 x 4))
0.5b
(/.f64 -1 (*.f64 x x))
✓10.5b
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
Compiler

Compiled 74 to 51 computations (31.1% saved)

series3.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
1.0ms
x
@0
(/.f64 -1 (pow.f64 x 4))
0.0ms
x
@inf
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
0.0ms
x
@-inf
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
0.0ms
x
@inf
(/.f64 -1 (pow.f64 x 4))

rewrite81.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
959×prod-diff_binary64
486×log-prod_binary64
340×fma-def_binary64
198×expm1-udef_binary64
198×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
125519
2324319
Stop Event
1×node limit
Counts
2 → 102
Calls
Call 1
Inputs
(+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4)))
(/.f64 -1 (pow.f64 x 4))
Outputs
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egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 9 (pow.f64 x 6))) (-.f64 (neg.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 -3 (pow.f64 x 4) (neg.f64 (pow.f64 x 3))) (pow.f64 x 3)) (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) (fma.f64 -3 (pow.f64 x 4) (neg.f64 (pow.f64 x 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 9 (pow.f64 x 6)) (-.f64 (/.f64 1 (pow.f64 x 8)) (/.f64 3 (pow.f64 x 7)))) (fma.f64 -27 (pow.f64 (pow.f64 x -3) 3) (pow.f64 (neg.f64 (pow.f64 x -4)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 -3 (pow.f64 x -3) (pow.f64 x -4)) (-.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 8)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3)))) (exp.f64 (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -3) (pow.f64 x -3)) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3)))) (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -4)))) (pow.f64 (exp.f64 -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 x -4))) (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -4)))) (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 x -3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -3 (pow.f64 x -3) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (/.f64 1 (neg.f64 (pow.f64 x 3))) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 x -3)) 1 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 x -4) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -4)) 1 (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -3 (pow.f64 x -3)) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (pow.f64 x -4)) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 -3) x) (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (cbrt.f64 -3) x) 2) (/.f64 (cbrt.f64 -3) x) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 (pow.f64 x -4))) (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (cbrt.f64 (neg.f64 (pow.f64 x -4))) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (/.f64 (sqrt.f64 -3) (pow.f64 x 3/2)) (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x -4))) (sqrt.f64 (neg.f64 (pow.f64 x -4))) (*.f64 -3 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -3) -3 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -4) -1 (*.f64 -3 (pow.f64 x -3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -4)))) (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -4)))))) (log.f64 (cbrt.f64 (exp.f64 (neg.f64 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -4))))) (log.f64 (sqrt.f64 (exp.f64 (neg.f64 (pow.f64 x -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -4))) (cbrt.f64 (/.f64 1 (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 8))) (cbrt.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (pow.f64 x -4))) (sqrt.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (pow.f64 x -4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 x 4) -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (neg.f64 (pow.f64 x -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x -4))) 1))))))

simplify62.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
648×fma-neg_binary64
512×distribute-neg-frac_binary64
484×fma-def_binary64
451×associate-/r/_binary64
358×div-sub_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016183
138165
296165
3220165
4603165
52544165
65724165
Stop Event
1×node limit
Counts
114 → 106
Calls
Call 1
Inputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
Outputs
(/.f64 -1 (pow.f64 x 4))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(/.f64 -3 (pow.f64 x 3))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (*.f64 3 (/.f64 1 (pow.f64 x 3)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -3 (pow.f64 x 3)))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 3 (pow.f64 x 3)))

eval640.0ms (7.6%)

Compiler

Compiled 22526 to 16254 computations (27.8% saved)

prune288.0ms (3.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New8795884
Fresh224
Picked101
Done448
Total88611897
Error
0b
Counts
897 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.2b
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
✓27.7b
(/.f64 -3 x)
0.3b
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
▶0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
35.8b
1
▶0.1b
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓36.7b
(-.f64 x -1)
▶36.2b
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
✓36.3b
(+.f64 (*.f64 3 x) 1)
▶28.2b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Compiler

Compiled 180 to 135 computations (25% saved)

localize22.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiled 28 to 20 computations (28.6% saved)

series3.0ms (0%)

Counts
2 → 15
Calls

6 calls:

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

rewrite166.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
469×prod-diff_binary64
436×log-prod_binary64
258×pow-prod-down_binary64
247×pow2_binary64
218×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118923
2277323
Stop Event
1×node limit
Counts
2 → 232
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(-.f64 x (/.f64 1 x))
Outputs
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(fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (cbrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -1 x)) (sqrt.f64 (/.f64 -1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (+.f64 (/.f64 -1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) x)))))

simplify70.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
884×fma-neg_binary64
650×associate-*l*_binary64
646×times-frac_binary64
415×cancel-sign-sub-inv_binary64
353×associate-/l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034193
199177
2285176
3850175
42572164
Stop Event
1×node limit
Counts
247 → 248
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 -1 x)
x
x
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 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)))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 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))))))
(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 (/.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 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.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))
(-.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 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)))
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 3 (pow.f64 x 3)))
(fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 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))))))
(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 (/.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 (pow.f64 x 4)) (fma.f64 (/.f64 (/.f64 1 x) x) (+.f64 -1 (/.f64 -3 x)) (/.f64 -3 x)))
(/.f64 -1 x)
x
x

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite68.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115810
2215210
Stop Event
1×node limit
Counts
1 → 36
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -3 x) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -3 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 -3 x) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (-.f64 -3 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -3 (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (*.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (*.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (-.f64 -3 (/.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 -3 (/.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (-.f64 -3 (/.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) 1) (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (-.f64 -3 (/.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 -3 (/.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 -3 (/.f64 1 x)) (pow.f64 x -1/2)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (-.f64 -3 (/.f64 1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 -3 (/.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 -3 (/.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (-.f64 -3 (/.f64 1 x)) 3) (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 -3 x) (pow.f64 x -2))))))))

simplify69.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
015150
130132
261132
3118132
4282132
5857132
63719132
77266132
Stop Event
1×node limit
Counts
48 → 41
Calls
Call 1
Inputs
(/.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))
(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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.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 (*.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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.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 (*.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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 26 to 18 computations (30.8% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite81.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
632×unpow-prod-down_binary64
426×log-prod_binary64
420×fma-def_binary64
327×pow-prod-down_binary64
239×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
118623
2282823
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(*.f64 (-.f64 -1 x) (+.f64 x 1))
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 x) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 -1 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (-.f64 -1 x)) 1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (+.f64 x 1)) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x 1) -1) (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (-.f64 -1 x) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) (+.f64 x 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (-.f64 -1 x) -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 -1 x) (-.f64 (fma.f64 x x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x (+.f64 -1 x) 1) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (fma.f64 x x -1)) (pow.f64 (+.f64 -1 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 -1 (pow.f64 x 3))) (*.f64 (-.f64 (fma.f64 x x 1) x) (fma.f64 x (+.f64 -1 x) 1)))))) (#(struct:change #<rule 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x 1)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 -1 x)) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (-.f64 -1 x)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 -1 x) (fma.f64 x x -1)) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (-.f64 -1 (pow.f64 x 3))) (fma.f64 x (+.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (-.f64 1 (*.f64 x x))) (+.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 -1 x)) (exp.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 -1 x))) (exp.f64 (*.f64 x (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 -1 x))) (+.f64 1 (expm1.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 x) (log.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (+.f64 (log1p.f64 x) (log.f64 (-.f64 -1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (+.f64 (log1p.f64 x) (log.f64 (-.f64 -1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log1p.f64 x) (log.f64 (-.f64 -1 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (+.f64 x 1) (*.f64 (neg.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (-.f64 -1 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) x (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 x) 1 (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 -1 x) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) -1 (*.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (cbrt.f64 (-.f64 -1 x)) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) 1) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 -1 x)) 2) (*.f64 (cbrt.f64 (-.f64 -1 x)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 -1 x)) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (sqrt.f64 (-.f64 -1 x)) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) 1) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 -1 x)) (*.f64 (sqrt.f64 (-.f64 -1 x)) x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 -1 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 -1 x) 1)) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 x x)) (/.f64 1 (+.f64 -1 x)) (*.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (-.f64 -1 x)) 1 (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1 x))) 2) (cbrt.f64 (*.f64 x (-.f64 -1 x))) (-.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) (fma.f64 (-.f64 -1 x) (+.f64 x 1) x) (*.f64 x x))) (fma.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))) 1 (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) (fma.f64 (-.f64 -1 x) (+.f64 x 1) x) (*.f64 x x))) (fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 3)) (/.f64 1 (fma.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) (fma.f64 (-.f64 -1 x) (+.f64 x 1) x) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 2) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 2)) (/.f64 1 (fma.f64 (-.f64 -1 x) (+.f64 x 1) x)) (fma.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))) 1 (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 2)) (/.f64 1 (fma.f64 (-.f64 -1 x) (+.f64 x 1) x)) (fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)) 2)) (/.f64 1 (fma.f64 (-.f64 -1 x) (+.f64 x 1) x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 2) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x)))) 2) (cbrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x)))) (sqrt.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x)))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 x 1)) (-.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (fma.f64 (*.f64 (+.f64 x 1) (neg.f64 (-.f64 -1 x))) 1 (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (fma.f64 (neg.f64 (-.f64 -1 x)) (+.f64 x 1) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 2) (*.f64 (-.f64 -1 x) (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) 2)) (cbrt.f64 (*.f64 (-.f64 -1 x) (+.f64 x 1))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (-.f64 -1 x)) 1) (+.f64 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (-.f64 -1 x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 (-.f64 -1 x)) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)) x)))))

simplify107.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
743×fma-neg_binary64
370×fma-def_binary64
301×unsub-neg_binary64
293×distribute-rgt-neg-in_binary64
278×unswap-sqr_binary64
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
018216
144196
285172
3172160
4442160
51203160
62658160
74754160
85869152
97152152
107595152
Stop Event
1×node limit
Counts
210 → 203
Calls
Call 1
Inputs
-1
(-.f64 (*.f64 -2 x) 1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(*.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))) 1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(*.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))) 1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 3 x) (pow.f64 x 2))
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(pow.f64 x 2)
(+.f64 (*.f64 3 x) (pow.f64 x 2))
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
(+.f64 (*.f64 3 x) (+.f64 1 (pow.f64 x 2)))
Outputs
-1
(-.f64 (*.f64 -2 x) 1)
(fma.f64 -2 x -1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 -2 x) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(*.f64 x (+.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2)))
(fma.f64 -2 x (neg.f64 (*.f64 x x)))
(-.f64 (*.f64 -2 x) (*.f64 x x))
(*.f64 x (-.f64 -2 x))
(*.f64 x (+.f64 -2 x))
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
(-.f64 (+.f64 (*.f64 -2 x) (*.f64 -1 (pow.f64 x 2))) 1)
(+.f64 (fma.f64 -2 x (neg.f64 (*.f64 x x))) -1)
(fma.f64 -2 x (fma.f64 -1 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x (-.f64 -2 x)))
(fma.f64 x (-.f64 -2 x) -1)
(fma.f64 x (+.f64 -2 x) -1)
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 (+.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 (+.f64 x 3) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 3 x) (pow.f64 x 2))
(fma.f64 3 x (*.f64 x x))
(*.f64 x (+.f64 x 3))
(+.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 (+.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 (+.f64 x 3) 1)
(pow.f64 x 2)
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(*.f64 x x)
(+.f64 (*.f64 3 x) (pow.f64 x 2))
(fma.f64 3 x (*.f64 x x))
(*.f64 x (+.f64 x 3))
(+.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 (+.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 (+.f64 x 3) 1)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite124.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
972×prod-diff_binary64
452×log-prod_binary64
332×fma-def_binary64
265×log-div_binary64
244×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
118817
2285617
Stop Event
1×node limit
Counts
2 → 240
Calls
Call 1
Inputs
(/.f64 (/.f64 -1 x) x)
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
Outputs
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-1 x) -3) (fma.f64 (/.f64 -1 x) 3 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) -3) (fma.f64 (/.f64 -3 x) 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) -3) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) -3) (+.f64 (/.f64 -3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 3 x) 2)) (/.f64 1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))) (fma.f64 (/.f64 -1 x) 3 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 3 x) 2)) (/.f64 1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))) (fma.f64 (/.f64 -3 x) 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 3 x) 2)) (/.f64 1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 1 (pow.f64 (*.f64 x x) 2)) (pow.f64 (/.f64 3 x) 2)) (/.f64 1 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 3 x))) (+.f64 (/.f64 -3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3 x)) 2) (cbrt.f64 (/.f64 -3 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -3 x)) (sqrt.f64 (/.f64 -3 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 3 x))) (sqrt.f64 (/.f64 3 x)) (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) 1) (/.f64 (/.f64 -1 (cbrt.f64 x)) x) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (/.f64 (/.f64 1 x) x)) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 -3 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (/.f64 -1 x) 3 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (/.f64 -3 x) 1 (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 3 x))) (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (-.f64 (/.f64 (sqrt.f64 -1) x) (sqrt.f64 (/.f64 3 x))) (+.f64 (/.f64 -3 x) (/.f64 3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2)) (cbrt.f64 (/.f64 3 x)) (/.f64 -1 (*.f64 x x)))))))

simplify90.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
844×div-sub_binary64
525×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
5857216
63719216
77266216
Stop Event
1×node limit
Counts
264 → 245
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)))
(*.f64 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.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 (*.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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.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 (*.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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 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 (/.f64 -1 x) (-.f64 3 (/.f64 -1 x)))

localize37.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiled 48 to 35 computations (27.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite98.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
691×log-prod_binary64
327×log-div_binary64
306×prod-diff_binary64
294×fma-def_binary64
245×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01242
128142
2427837
Stop Event
1×node limit
Counts
3 → 133
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1))
(/.f64 x (+.f64 1 x))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (-.f64 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 x -1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))))

simplify80.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
551×sub-neg_binary64
492×fma-neg_binary64
329×distribute-neg-frac_binary64
287×fma-def_binary64
276×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061525
1199489
2620482
31987479
45982479
Stop Event
1×node limit
Counts
169 → 173
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 1 x)
(+.f64 4 (/.f64 1 x))
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 4 x)))
(+.f64 4 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 4 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
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 -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)))
(-.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)))
(-.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 1 x)
(+.f64 4 (/.f64 1 x))
(+.f64 (/.f64 1 x) 4)
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 4 x)))
(+.f64 4 (+.f64 (/.f64 1 x) (*.f64 x 4)))
(+.f64 4 (fma.f64 x 4 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 4 4))
(+.f64 4 (+.f64 (*.f64 4 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (*.f64 4 x))))
(+.f64 4 (fma.f64 4 (*.f64 x x) (+.f64 (/.f64 1 x) (*.f64 x 4))))
(+.f64 4 (fma.f64 (*.f64 x x) 4 (fma.f64 x 4 (/.f64 1 x))))
(fma.f64 (fma.f64 x x 1) 4 (fma.f64 x 4 (/.f64 1 x)))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) (/.f64 -4 (pow.f64 x 3)))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))))
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)) (/.f64 4 (pow.f64 x 4))))
(-.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x))))
(/.f64 -3 x)
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))))
(+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))) (/.f64 -4 (pow.f64 x 3)))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (/.f64 -3 x) (/.f64 4 (pow.f64 x 3))))
(+.f64 (/.f64 -4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)))
(neg.f64 (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 4))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 3))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 3 (/.f64 1 x))))))
(neg.f64 (+.f64 (+.f64 (+.f64 (/.f64 3 x) (/.f64 4 (*.f64 x x))) (/.f64 4 (pow.f64 x 3))) (/.f64 4 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 -4 (pow.f64 x 4)) (/.f64 -4 (pow.f64 x 3))) (+.f64 (/.f64 -3 x) (/.f64 -4 (*.f64 x x))))
(-.f64 (/.f64 -4 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 4 (pow.f64 x 4)))))
(+.f64 (/.f64 -4 (*.f64 x x)) (-.f64 (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x)) (/.f64 4 (pow.f64 x 4))))
(-.f64 (/.f64 -4 (pow.f64 x 4)) (-.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 -4 (pow.f64 x 3)) (/.f64 -3 x))))
x
(+.f64 (*.f64 -1 (pow.f64 x 2)) x)
(fma.f64 -1 (*.f64 x x) x)
(-.f64 x (*.f64 x x))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x))
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 (pow.f64 x 3) (-.f64 x (*.f64 x x)))
(*.f64 x (-.f64 (fma.f64 x x 1) x))
(fma.f64 (*.f64 x x) (+.f64 x -1) x)
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x)))
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x))
(-.f64 (*.f64 x (-.f64 (fma.f64 x x 1) x)) (pow.f64 x 4))
(*.f64 (fma.f64 x x 1) (-.f64 x (*.f64 x x)))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))
1
(-.f64 1 (/.f64 1 x))
(+.f64 1 (/.f64 -1 x))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x)))
(+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 (/.f64 1 x) x) (-.f64 1 (/.f64 1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 3)))))

eval729.0ms (8.6%)

Compiler

Compiled 20834 to 15173 computations (27.2% saved)

prune146.0ms (1.7%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New9064910
Fresh202
Picked011
Done088
Total90813921
Error
0b
Counts
921 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓0.1b
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
0.3b
(/.f64 1 (/.f64 (-.f64 x 1) (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x)))))
✓28.2b
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
✓27.7b
(/.f64 -3 x)
28.3b
(/.f64 1 (/.f64 x (+.f64 (/.f64 -1 x) -3)))
✓28.2b
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
0.2b
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x)))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
✓36.7b
(-.f64 x -1)
35.8b
1
✓36.2b
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
✓0.0b
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
✓36.3b
(+.f64 (*.f64 3 x) 1)
Compiler

Compiled 130 to 99 computations (23.8% saved)

regimes36.0ms (0.4%)

Counts
30 → 1
Calls
Call 1
Inputs
1
1
1
(-.f64 x -1)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(/.f64 1 (/.f64 x (+.f64 (/.f64 -1 x) -3)))
(-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1)))
(-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))
(+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x))
(-.f64 x (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(-.f64 x (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
(/.f64 -3 (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(*.f64 (/.f64 1 (+.f64 x (/.f64 -1 x))) (+.f64 -3 (/.f64 -1 x)))
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(*.f64 (/.f64 x (+.f64 1 x)) (/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x -1)))
(/.f64 (-.f64 -3 (/.f64 1 x)) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(-.f64 (/.f64 x (+.f64 x 1)) (*.f64 (/.f64 1 (+.f64 x -1)) (+.f64 x 1)))
(/.f64 1 (/.f64 (-.f64 x 1) (*.f64 (/.f64 x (+.f64 x 1)) (+.f64 -3 (/.f64 -1 x)))))
(*.f64 (/.f64 1 (+.f64 x -1)) (*.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 x (+.f64 1 x))))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (-.f64 x (/.f64 1 x)))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (-.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (*.f64 (/.f64 (+.f64 x 1) x) 1)) (*.f64 (/.f64 (+.f64 x 1) x) (/.f64 (+.f64 x -1) (+.f64 x 1))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 -3 x) (/.f64 -3 (pow.f64 x 3))))
(fma.f64 (+.f64 x 1) (neg.f64 (/.f64 1 (+.f64 x -1))) (/.f64 x (+.f64 x 1)))
(fma.f64 (/.f64 1 (+.f64 x 1)) x (/.f64 (fma.f64 -1 x -1) (+.f64 x -1)))
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
Calls

3 calls:

17.0ms
x
6.0ms
(-.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
0.0b1x
0.0b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b1(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 385 to 276 computations (28.3% saved)

regimes26.0ms (0.3%)

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

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 69 to 49 computations (29% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
19.0ms
0.014417641856487702
1.8570617936911118
20.0ms
-117.82726752014982
-1.2680161781288136e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.2%)

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

1 calls:

17.0ms
x
Results
ErrorSegmentsBranch
1.1b3x
Compiler

Compiled 42 to 31 computations (26.2% saved)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
18.0ms
0.014417641856487702
1.8570617936911118
20.0ms
-117.82726752014982
-1.2680161781288136e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.2%)

Counts
8 → 3
Calls
Call 1
Inputs
1
1
1
(-.f64 x -1)
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(/.f64 1 (/.f64 x (+.f64 (/.f64 -1 x) -3)))
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (-.f64 -3 (/.f64 1 x)) x)
Calls

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.2b3x
Compiler

Compiled 33 to 25 computations (24.2% saved)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.014417641856487702
1.8570617936911118
19.0ms
-117.82726752014982
-1.2680161781288136e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes17.0ms (0.2%)

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

1 calls:

16.0ms
x
Results
ErrorSegmentsBranch
1.4b3x
Compiler

Compiled 17 to 13 computations (23.5% saved)

bsearch42.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.014417641856487702
1.8570617936911118
22.0ms
-117.82726752014982
-1.2680161781288136e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes16.0ms (0.2%)

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

1 calls:

14.0ms
x
Results
ErrorSegmentsBranch
1.9b3x
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch40.0ms (0.5%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.014417641856487702
1.8570617936911118
19.0ms
-117.82726752014982
-1.2680161781288136e-8
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.9b remaining (-2.4%)

Threshold costs -0.9b (-2.4%)

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

1 calls:

4.0ms
x
Results
ErrorSegmentsBranch
35.8b1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify19.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
24×cancel-sign-sub-inv_binary64
20×sub-neg_binary64
19×+-commutative_binary64
19×distribute-rgt-neg-in_binary64
19×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038200
159200
285200
3106200
4153200
5197200
6225200
7246200
8255200
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 265958549473031296/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x -1) (/.f64 -3 x)))
1
Outputs
(/.f64 (-.f64 -3 (/.f64 1 x)) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 -3 (/.f64 -1 x)) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (-.f64 (/.f64 (/.f64 -1 x) x) (/.f64 3 x))))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 x (*.f64 (+.f64 1 x) (+.f64 1 x))) (+.f64 (/.f64 (/.f64 -1 x) x) (/.f64 -3 x))))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 x 1))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (-.f64 x (*.f64 (-.f64 -1 x) (+.f64 1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 x (*.f64 (+.f64 1 x) (+.f64 1 x))) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 265958549473031296/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (-.f64 -3 (/.f64 1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 (-.f64 -3 (/.f64 1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 (+.f64 -3 (/.f64 -1 x)) x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 -3 (/.f64 -1 x)) x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 265958549473031296/18446744073709551616) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 265958549473031296/18446744073709551616) (-.f64 x -1) (/.f64 -3 x)))
(if (<=.f64 x -8291356845278601/70368744177664) (/.f64 -3 x) (if (<=.f64 x 2077801167758057/144115188075855872) (+.f64 1 x) (/.f64 -3 x)))
1
Compiler

Compiled 146 to 107 computations (26.7% saved)

soundness108.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
920×fma-neg_binary64
653×times-frac_binary64
644×associate-*r*_binary64
452×cancel-sign-sub-inv_binary64
366×associate-*l/_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
041424
1118390
2319389
3891388
42607377
Stop Event
1×node limit
Compiler

Compiled 28 to 24 computations (14.3% saved)

end130.0ms (1.5%)

Compiler

Compiled 140 to 101 computations (27.9% saved)

Profiling

Loading profile data...