Details

Time bar (total: 5.8s)

analyze6.0ms (0.1%)

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

Compiled 15 to 11 computations (26.7% saved)

sample1.9s (33.4%)

Results
886.0ms2119×body1024valid
693.0ms4907×body256valid
227.0ms1018×body512valid
91.0ms212×body2048valid
Bogosity

preprocess152.0ms (2.6%)

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)

simplify135.0ms (2.3%)

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)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
28.9b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize32.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

Compiled 34 to 23 computations (32.4% saved)

series6.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

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

rewrite102.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
119529
2324429
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
(/.f64 (+.f64 x 1) (-.f64 x 1))
Outputs
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simplify78.0ms (1.4%)

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

Useful iterations: 4 (0.0ms)

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

eval246.0ms (4.3%)

Compiler

Compiled 5370 to 4002 computations (25.5% saved)

prune84.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New20112213
Fresh000
Picked011
Done000
Total20113214
Error
0.0b
Counts
214 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
▶31.4b
(-.f64 (/.f64 x (+.f64 x 1)) (-.f64 (*.f64 -2 x) 1))
✓28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))
▶32.5b
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
31.4b
(+.f64 (*.f64 3 x) 1)
30.0b
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1))
▶31.0b
(-.f64 (/.f64 x (+.f64 x 1)) -1)
▶32.2b
(/.f64 -3 x)
32.7b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
▶28.8b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
31.0b
1
32.6b
(+.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -3 x)) (+.f64 (/.f64 -3 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 4))))
28.8b
(/.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))))
Compiler

Compiled 354 to 264 computations (25.4% saved)

localize64.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

Compiled 69 to 47 computations (31.9% saved)

series9.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

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

rewrite184.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
599×log-prod_binary64
507×fma-def_binary64
297×pow2_binary64
282×fma-neg_binary64
250×log-div_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
124034
2393234
Stop Event
1×node limit
Counts
3 → 315
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) 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 x (-.f64 -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 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 1) 2) x))) (fma.f64 (/.f64 (fma.f64 x -1 -1) x) (+.f64 x 1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 -1 (/.f64 (pow.f64 (+.f64 x 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 2)) (/.f64 1 (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 (+.f64 x 1) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (pow.f64 (+.f64 x -1) 2)) (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x -1) (/.f64 (pow.f64 (+.f64 x 1) 2) x)) (-.f64 (pow.f64 (+.f64 x -1) 2) (pow.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 2))))))) (#(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)) (fma.f64 (/.f64 (pow.f64 (+.f64 x 1) 2) x) 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simplify67.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
137×fma-neg_binary64
67×fma-def_binary64
34×cancel-sign-sub-inv_binary64
33×sub-neg_binary64
32×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016237
130219
248219
364219
483219
5117219
6162219
7235219
8333219
9443219
10574219
11639219
12670219
13673219
Stop Event
1×saturated
Counts
351 → 329
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))
(/.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 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
-3
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(neg.f64 (+.f64 3 (/.f64 1 x)))
(+.f64 -3 (neg.f64 (/.f64 1 x)))
(+.f64 (/.f64 -1 x) -3)
(/.f64 -1 x)
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
x
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(-.f64 x (/.f64 1 x))
(+.f64 x (/.f64 -1 x))
(/.f64 1 x)
(+.f64 2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))
x
(+.f64 2 x)
(+.f64 x 2)
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))
(+.f64 2 (+.f64 (/.f64 1 x) x))
(+.f64 2 (+.f64 x (/.f64 1 x)))
(+.f64 (/.f64 1 x) (+.f64 x 2))

localize6.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite55.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
849×pow1_binary64
792×add-log-exp_binary64
792×log1p-expm1-u_binary64
792×expm1-log1p-u_binary64
778×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115510
2211810
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) -1)
Outputs
((#(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 1 (+.f64 1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (/.f64 1 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1))) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1) (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (-.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (+.f64 (/.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1) (-.f64 (/.f64 x (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1)) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (+.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) -1)) (neg.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) 1)))))

simplify52.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
556×fma-def_binary64
536×unswap-sqr_binary64
485×distribute-rgt-neg-in_binary64
434×distribute-lft-neg-in_binary64
290×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023131
163129
2153127
3418123
41327123
54787123
Stop Event
1×node limit
Counts
43 → 44
Calls
Call 1
Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)))
2
(-.f64 2 (/.f64 1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
2
(-.f64 2 (/.f64 1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 -1 (*.f64 x x) x))
(+.f64 1 (-.f64 x (*.f64 x x)))
(-.f64 x (fma.f64 x x -1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))))
(+.f64 1 (-.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x)))
(+.f64 1 (*.f64 x (-.f64 (fma.f64 x x 1) x)))
(fma.f64 x (-.f64 (fma.f64 x x 1) x) 1)
2
(-.f64 2 (/.f64 1 x))
(+.f64 2 (/.f64 -1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 2 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (-.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 2 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (-.f64 2 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 3)))
2
(-.f64 2 (/.f64 1 x))
(+.f64 2 (/.f64 -1 x))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x))
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x)))
(+.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x))
(-.f64 (/.f64 (/.f64 1 x) x) (-.f64 (/.f64 1 x) 2))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 2 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 (+.f64 2 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 2 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (-.f64 (/.f64 -1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 x) (-.f64 (+.f64 2 (/.f64 (/.f64 1 x) x)) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (+.f64 2 (/.f64 -1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (-.f64 2 (+.f64 (/.f64 1 x) (/.f64 -1 (*.f64 x x)))) (/.f64 -1 (pow.f64 x 3)))

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 31 to 22 computations (29% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite81.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
593×fma-def_binary64
497×log-prod_binary64
356×fma-neg_binary64
351×pow-prod-down_binary64
275×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
121514
2328314
Stop Event
1×node limit
Counts
1 → 135
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x 1)) (-.f64 (*.f64 -2 x) 1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)) (fma.f64 (neg.f64 (fma.f64 x -2 -1)) 1 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -2 -1))) (pow.f64 (cbrt.f64 (fma.f64 x -2 -1)) 2) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)) (+.f64 (neg.f64 (fma.f64 x -2 -1)) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 x -2 -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 x (+.f64 x 1)) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (fma.f64 x -2 -1) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))) (fma.f64 (neg.f64 (fma.f64 x -2 -1)) 1 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (fma.f64 x -2 -1) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -2 -1))) (pow.f64 (cbrt.f64 (fma.f64 x -2 -1)) 2) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2) (pow.f64 (fma.f64 x -2 -1) 2)) (/.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) (fma.f64 x -2 -1))) (+.f64 (neg.f64 (fma.f64 x -2 -1)) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x))) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (fma.f64 x -2 -1))) 2) (cbrt.f64 (neg.f64 (fma.f64 x -2 -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x))) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) (*.f64 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (fma.f64 x -2 -1))) (sqrt.f64 (neg.f64 (fma.f64 x -2 -1))) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x -2 -1))) (sqrt.f64 (fma.f64 x -2 -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (*.f64 x -2))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (*.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (fma.f64 (neg.f64 (fma.f64 x -2 -1)) 1 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x -2 -1))) (pow.f64 (cbrt.f64 (fma.f64 x -2 -1)) 2) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (fma.f64 x -2 -1))) (+.f64 (neg.f64 (fma.f64 x -2 -1)) (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 -1)) 2)) (cbrt.f64 (fma.f64 x -2 -1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 (fma.f64 x x 1) x) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (neg.f64 (fma.f64 x -2 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1) (*.f64 (neg.f64 (fma.f64 x -2 -1)) 1))))))

simplify49.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
588×fma-def_binary64
536×unswap-sqr_binary64
389×distribute-rgt-neg-in_binary64
362×distribute-rgt-in_binary64
347×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024125
166114
2160112
3448108
41297106
54024106
Stop Event
1×node limit
Counts
147 → 150
Calls
Call 1
Inputs
1
(+.f64 (*.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))))
(*.f64 2 x)
(+.f64 2 (*.f64 2 x))
(-.f64 (+.f64 2 (*.f64 2 x)) (/.f64 1 x))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(*.f64 2 x)
(+.f64 2 (*.f64 2 x))
(-.f64 (+.f64 2 (*.f64 2 x)) (/.f64 1 x))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
Outputs
1
(+.f64 (*.f64 3 x) 1)
(fma.f64 3 x 1)
(+.f64 (*.f64 3 x) (+.f64 1 (*.f64 -1 (pow.f64 x 2))))
(+.f64 (fma.f64 3 x 1) (neg.f64 (*.f64 x x)))
(-.f64 (fma.f64 3 x 1) (*.f64 x x))
(fma.f64 x (neg.f64 x) (fma.f64 3 x 1))
(fma.f64 x (-.f64 3 x) 1)
(+.f64 (*.f64 3 x) (+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 3))))
(+.f64 (fma.f64 3 x 1) (fma.f64 -1 (*.f64 x x) (pow.f64 x 3)))
(+.f64 (fma.f64 3 x 1) (-.f64 (pow.f64 x 3) (*.f64 x x)))
(fma.f64 (*.f64 x x) (+.f64 x -1) (fma.f64 3 x 1))
(+.f64 1 (fma.f64 x (-.f64 3 x) (pow.f64 x 3)))
(fma.f64 x (-.f64 (fma.f64 x x 3) x) 1)
(fma.f64 x (fma.f64 x x (-.f64 3 x)) 1)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 x 2))
(fma.f64 x 2 2)
(-.f64 (+.f64 2 (*.f64 2 x)) (/.f64 1 x))
(-.f64 (+.f64 2 (*.f64 x 2)) (/.f64 1 x))
(-.f64 (fma.f64 x 2 2) (/.f64 1 x))
(+.f64 (fma.f64 x 2 2) (/.f64 -1 x))
(+.f64 2 (fma.f64 x 2 (/.f64 -1 x)))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 2 (-.f64 (fma.f64 2 x (/.f64 1 (*.f64 x x))) (/.f64 1 x)))
(+.f64 2 (+.f64 (fma.f64 x 2 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 1 x) x) (fma.f64 x 2 (/.f64 -1 x))))
(+.f64 (+.f64 2 (fma.f64 x 2 (/.f64 -1 x))) (/.f64 1 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x 2 (/.f64 -1 x))))
(+.f64 (+.f64 (fma.f64 x 2 2) (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 2 (*.f64 2 x))
(+.f64 2 (*.f64 x 2))
(fma.f64 x 2 2)
(-.f64 (+.f64 2 (*.f64 2 x)) (/.f64 1 x))
(-.f64 (+.f64 2 (*.f64 x 2)) (/.f64 1 x))
(-.f64 (fma.f64 x 2 2) (/.f64 1 x))
(+.f64 (fma.f64 x 2 2) (/.f64 -1 x))
(+.f64 2 (fma.f64 x 2 (/.f64 -1 x)))
(-.f64 (+.f64 2 (+.f64 (*.f64 2 x) (/.f64 1 (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 2 (-.f64 (fma.f64 2 x (/.f64 1 (*.f64 x x))) (/.f64 1 x)))
(+.f64 2 (+.f64 (fma.f64 x 2 (/.f64 (/.f64 1 x) x)) (/.f64 -1 x)))
(+.f64 2 (+.f64 (/.f64 (/.f64 1 x) x) (fma.f64 x 2 (/.f64 -1 x))))
(+.f64 (+.f64 2 (fma.f64 x 2 (/.f64 -1 x))) (/.f64 1 (*.f64 x x)))
(+.f64 2 (+.f64 (/.f64 1 (*.f64 x x)) (fma.f64 x 2 (/.f64 -1 x))))
(+.f64 (+.f64 (fma.f64 x 2 2) (/.f64 -1 x)) (/.f64 1 (*.f64 x x)))

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
✓0.1b
(/.f64 (/.f64 1 x) x)
✓0.4b
(/.f64 -3 (pow.f64 x 3))
✓7.8b
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
Compiler

Compiled 48 to 34 computations (29.2% saved)

series5.0ms (0.1%)

Counts
4 → 36
Calls

12 calls:

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

rewrite136.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
736×fma-def_binary64
603×log-prod_binary64
417×fma-neg_binary64
358×log-div_binary64
228×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01243
129038
2439438
Stop Event
1×node limit
Counts
4 → 311
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(/.f64 -3 (pow.f64 x 3))
(/.f64 (/.f64 1 x) x)
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
Outputs
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#<rule egg-rr> (2) ((x fma.f64 (+.f64 -3 (/.f64 -1 x)) (/.f64 1 x) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -27 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (fma.f64 9 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 (pow.f64 x -3) x)))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -27 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (fma.f64 9 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 (pow.f64 x -3) x)))) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 -27 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (fma.f64 9 (pow.f64 x -2) (fma.f64 -3 (pow.f64 x -3) (/.f64 (pow.f64 x -3) x)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (+.f64 (/.f64 -3 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (+.f64 (/.f64 -3 x) (pow.f64 x -2))) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 9 (pow.f64 x -2)) (/.f64 (pow.f64 x -3) x)) (/.f64 1 (+.f64 (/.f64 -3 x) (pow.f64 x -2))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (neg.f64 (pow.f64 x -2)))) (cbrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (pow.f64 x -2))) (sqrt.f64 (neg.f64 (pow.f64 x -2))) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (-.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 x -2)) 1 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (-.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (+.f64 (neg.f64 (pow.f64 x -2)) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (-.f64 (sqrt.f64 (/.f64 -3 x)) (/.f64 1 x)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x -2))) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2)) (cbrt.f64 (pow.f64 x -2)) (/.f64 -3 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)) (*.f64 (neg.f64 (pow.f64 x -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 x -1/2)) (pow.f64 x -1/2) (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -3 (pow.f64 x -1/2)) (pow.f64 x -1/2) (*.f64 (neg.f64 (pow.f64 x -2)) 1))))))

simplify64.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
562×times-frac_binary64
536×unswap-sqr_binary64
489×associate-/r*_binary64
424×associate-*l/_binary64
416×fma-def_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
025441
166405
2162405
3437405
41438384
56589384
Stop Event
1×node limit
Counts
347 → 324
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 -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 -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 1 (*.f64 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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -3 (pow.f64 x 3)) (/.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 -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 -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))
(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 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 -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 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 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 -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 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 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))

eval521.0ms (9%)

Compiler

Compiled 21134 to 15676 computations (25.8% saved)

prune159.0ms (2.8%)

Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New8398847
Fresh437
Picked101
Done145
Total84515860
Error
0.0b
Counts
860 → 15
Alt Table
Click to see full alt table
StatusErrorProgram
✓31.4b
(-.f64 (/.f64 x (+.f64 x 1)) (-.f64 (*.f64 -2 x) 1))
✓28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
▶32.7b
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
▶0.0b
(/.f64 (+.f64 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
31.0b
1
31.6b
(+.f64 1 x)
✓31.0b
(-.f64 (/.f64 x (+.f64 x 1)) -1)
✓32.2b
(/.f64 -3 x)
32.5b
(+.f64 (/.f64 (+.f64 -1 (/.f64 -3 x)) (*.f64 x x)) (/.f64 -3 x))
56.8b
2
▶57.4b
(+.f64 2 (*.f64 2 x))
▶62.1b
(*.f64 x 2)
32.5b
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (*.f64 (*.f64 (/.f64 -3 x) (/.f64 1 x)) (/.f64 1 x)))
31.4b
(+.f64 (*.f64 3 x) 1)
▶28.8b
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (-.f64 x (/.f64 1 x)))
Compiler

Compiled 246 to 182 computations (26% saved)

localize27.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiled 48 to 34 computations (29.2% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (0.1%)

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiled 24 to 16 computations (33.3% saved)

localize38.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiled 64 to 43 computations (32.8% saved)

series1.0ms (0%)

Counts
1 → 3
Calls

3 calls:

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

rewrite53.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
576×pow1_binary64
540×add-log-exp_binary64
540×log1p-expm1-u_binary64
540×expm1-log1p-u_binary64
528×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
11107
215187
Stop Event
1×node limit
Counts
1 → 35
Calls
Call 1
Inputs
(-.f64 x (/.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 (+.f64 x (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) (sqrt.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (/.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 x) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 x) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2))) (-.f64 (pow.f64 x 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (/.f64 1 x)) (-.f64 (*.f64 x x) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 x x (+.f64 1 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x -2)) (+.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 x -3))) (neg.f64 (fma.f64 x x (+.f64 1 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x -2))) (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1 x))))))

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
Stop Event
1×saturated
Counts
38 → 37
Calls
Call 1
Inputs
(/.f64 -1 x)
x
x
Outputs
(/.f64 -1 x)
x
x

eval301.0ms (5.2%)

Compiler

Compiled 12186 to 8820 computations (27.6% saved)

prune79.0ms (1.4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New5324536
Fresh246
Picked101
Done358
Total53813551
Error
0b
Counts
551 → 13
Alt Table
Click to see full alt table
StatusErrorProgram
✓62.1b
(*.f64 x 2)
32.8b
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
▶31.4b
(+.f64 (*.f64 3 x) 1)
▶61.9b
(/.f64 -1 (*.f64 x x))
▶0.0b
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
31.0b
1
▶31.6b
(+.f64 1 x)
✓31.0b
(-.f64 (/.f64 x (+.f64 x 1)) -1)
✓32.2b
(/.f64 -3 x)
✓28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
56.8b
2
✓57.4b
(+.f64 2 (*.f64 2 x))
▶32.7b
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
Compiler

Compiled 132 to 101 computations (23.5% saved)

localize18.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiled 32 to 23 computations (28.1% saved)

localize3.0ms (0.1%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize6.0ms (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)

series2.0ms (0%)

Counts
1 → 3
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+.f64 (*.f64 3 x) 1)
0.0ms
x
@0
(+.f64 (*.f64 3 x) 1)
0.0ms
x
@inf
(+.f64 (*.f64 3 x) 1)

rewrite51.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

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

simplify9.0ms (0.2%)

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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite44.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
458×pow1_binary64
443×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
424×add-log-exp_binary64
424×log1p-expm1-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057
11026
212166
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(/.f64 -1 (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))))

simplify180.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1140×associate-/r*_binary64
1082×sqr-pow_binary64
560×cube-prod_binary64
554×fabs-mul_binary64
523×pow-sqr_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0684
11184
22084
33584
47584
522484
683484
7204384
8220984
9239384
10260184
11289884
12329184
13377284
14434084
15502884
16586384
17625584
18654384
19681984
20689184
21692784
Stop Event
1×node limit
Counts
34 → 24
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))
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))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite123.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
836×pow1_binary64
781×add-log-exp_binary64
781×log1p-expm1-u_binary64
781×expm1-log1p-u_binary64
768×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
115610
2205410
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -1 x) -3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 -1 x) -3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 3 (neg.f64 (/.f64 -1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 (/.f64 -1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 (/.f64 -1 x) -3) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 -1 x) -3)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 -1 x) -3) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 (/.f64 -1 x) -3)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 (/.f64 -1 x) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -1 x) -3) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -1 x) -3) x)))))))

simplify59.0ms (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
015150
130132
261132
3118132
4282132
5857132
63719132
77266132
Stop Event
1×node limit
Counts
43 → 36
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)))

eval55.0ms (1%)

Compiler

Compiled 1580 to 1200 computations (24.1% saved)

prune22.0ms (0.4%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1292131
Fresh123
Picked011
Done369
Total13311144
Error
0b
Counts
144 → 11
Alt Table
Click to see full alt table
StatusErrorProgram
62.1b
(*.f64 3 x)
32.8b
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
✓31.4b
(+.f64 (*.f64 3 x) 1)
✓0.0b
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
✓28.9b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
56.8b
2
✓57.4b
(+.f64 2 (*.f64 2 x))
31.0b
1
✓31.6b
(+.f64 1 x)
✓32.2b
(/.f64 -3 x)
✓32.7b
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
Compiler

Compiled 72 to 56 computations (22.2% saved)

regimes61.0ms (1.1%)

Counts
27 → 1
Calls
Call 1
Inputs
1
2
1
(*.f64 3 x)
(+.f64 1 x)
(*.f64 x 2)
(/.f64 -3 x)
(/.f64 -1 (*.f64 x x))
(+.f64 2 (*.f64 2 x))
(+.f64 (*.f64 3 x) 1)
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
(-.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
(-.f64 (/.f64 x (+.f64 x 1)) (-.f64 (*.f64 -2 x) 1))
(+.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 (/.f64 -1 x) -3) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x -1)))
(/.f64 (-.f64 (+.f64 x -1) (*.f64 (/.f64 (+.f64 x 1) x) (+.f64 x 1))) (-.f64 x (/.f64 1 x)))
(+.f64 (-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (*.f64 (*.f64 (/.f64 -3 x) (/.f64 1 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 (/.f64 -3 x) (/.f64 (/.f64 1 x) x)) (/.f64 -3 (pow.f64 x 3)))
(/.f64 (/.f64 (-.f64 (*.f64 x (+.f64 x -1)) (pow.f64 (+.f64 x 1) 2)) (+.f64 x 1)) (+.f64 x -1))
(-.f64 (/.f64 x (+.f64 x 1)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) (+.f64 x -1))) 3))
(+.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 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
Calls

3 calls:

45.0ms
x
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
4.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Results
ErrorSegmentsBranch
0.0b1x
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 319 to 228 computations (28.5% saved)

regimes26.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
1
2
1
(*.f64 3 x)
(+.f64 1 x)
(*.f64 x 2)
(/.f64 -3 x)
(/.f64 -1 (*.f64 x x))
(+.f64 2 (*.f64 2 x))
(+.f64 (*.f64 3 x) 1)
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
(-.f64 (/.f64 x (+.f64 x 1)) -1)
(/.f64 1 (/.f64 x (+.f64 -3 (/.f64 -1 x))))
(-.f64 (/.f64 -3 x) (/.f64 (/.f64 1 x) x))
Outputs
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
(+.f64 (*.f64 3 x) 1)
(/.f64 (+.f64 (/.f64 -1 x) -3) x)
Calls

1 calls:

23.0ms
x
Results
ErrorSegmentsBranch
0.8b3x
Compiler

Compiled 65 to 47 computations (27.7% saved)

bsearch41.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
20.0ms
0.420269798957526
271.7074693784282
20.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.4%)

Counts
10 → 3
Calls
Call 1
Inputs
1
2
1
(*.f64 3 x)
(+.f64 1 x)
(*.f64 x 2)
(/.f64 -3 x)
(/.f64 -1 (*.f64 x x))
(+.f64 2 (*.f64 2 x))
(+.f64 (*.f64 3 x) 1)
Outputs
(/.f64 -3 x)
(+.f64 (*.f64 3 x) 1)
(/.f64 -3 x)
Calls

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
1.0b3x
Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch51.0ms (0.9%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
0.420269798957526
271.7074693784282
19.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes20.0ms (0.3%)

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

1 calls:

18.0ms
x
Results
ErrorSegmentsBranch
1.3b3x
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch41.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
21.0ms
0.420269798957526
271.7074693784282
20.0ms
-816.3915911150025
-0.7528729245323921
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -31.2b remaining (-100.5%)

Threshold costs -31.2b (-100.5%)

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

1 calls:

6.0ms
x
Results
ErrorSegmentsBranch
31.0b1x
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×+-commutative_binary64
2×*-commutative_binary64
2×sub-neg_binary64
1×distribute-neg-frac_binary64
1×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027107
135107
240107
343107
444107
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 (+.f64 (/.f64 -1 x) -3) x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 (/.f64 -1 x) -3) x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 1 x) (/.f64 -3 x)))
1
Outputs
(/.f64 (+.f64 (/.f64 -1 x) -3) (-.f64 x (/.f64 1 x)))
(/.f64 (+.f64 (/.f64 -1 x) -3) (+.f64 x (/.f64 -1 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 (+.f64 (/.f64 -1 x) -3) x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 (+.f64 (/.f64 -1 x) -3) x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 (+.f64 (/.f64 -1 x) -3) x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 (+.f64 (/.f64 -1 x) -3) x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 (*.f64 3 x) 1) (/.f64 -3 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 1 (*.f64 x 3)) (/.f64 -3 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 1 x) (/.f64 -3 x)))
(if (<=.f64 x -897632047249495/1099511627776) (/.f64 -3 x) (if (<=.f64 x 7570907639920749/18014398509481984) (+.f64 x 1) (/.f64 -3 x)))
1
Compiler

Compiled 80 to 60 computations (25% saved)

soundness46.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
137×fma-neg_binary64
67×fma-def_binary64
34×cancel-sign-sub-inv_binary64
33×sub-neg_binary64
32×distribute-rgt-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
016237
130219
248219
364219
483219
5117219
6162219
7235219
8333219
9443219
10574219
11639219
12670219
13673219
Stop Event
1×saturated
Compiler

Compiled 42 to 36 computations (14.3% saved)

end52.0ms (0.9%)

Compiler

Compiled 76 to 56 computations (26.3% saved)

Profiling

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