Details

Time bar (total: 1.5s)

analyze3.0ms (0.2%)

Algorithm
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
50%50%50%0%0%0%0%3
66.7%50%25%0%25%0%0%4
83.3%62.5%12.5%0%25%0%0%5
91.7%68.7%6.2%0%25%0%0%6
95.8%71.8%3.1%0%25%0%0%7
97.9%73.4%1.6%0%25%0%0%8
99%74.2%0.8%0%25%0%0%9
99.5%74.6%0.4%0%25%0%0%10
99.7%74.8%0.2%0%25%0%0%11
99.9%74.9%0.1%0%25%0%0%12
Compiler

Compiled 7 to 5 computations (28.6% saved)

sample651.0ms (42.9%)

Results
641.0ms8256×body256valid
0.0msbody256infinite
Bogosity

preprocess125.0ms (8.3%)

Algorithm
egg-herbie
Rules
1304×fma-neg
1022×+-commutative
962×*-commutative
716×distribute-neg-in
678×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1179
2219
3369
4789
51719
63379
77929
832609
948269
1061999
1171239
1274299
1375899
1476759
011
Stop Event
saturated
node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(-.f64 (*.f64 x x) 1)
Outputs
(-.f64 (*.f64 x x) 1)
(fma.f64 x x -1)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify129.0ms (8.5%)

Algorithm
egg-herbie
Rules
1304×fma-neg
1022×+-commutative
962×*-commutative
716×distribute-neg-in
678×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1179
2219
3369
4789
51719
63379
77929
832609
948269
1061999
1171239
1274299
1375899
1476759
Stop Event
node limit
Counts
1 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) 1)
Outputs
(-.f64 (*.f64 x x) 1)
(fma.f64 x x -1)

eval0.0ms (0%)

Compiler

Compiled 10 to 6 computations (40% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(fma.f64 x x -1)
0.0b
(-.f64 (*.f64 x x) 1)
Compiler

Compiled 11 to 7 computations (36.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite49.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
1218×add-sqr-sqrt
1198×*-un-lft-identity
1122×add-cube-cbrt
1114×add-cbrt-cube
1110×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11309
216389
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)))))

simplify46.0ms (3.1%)

Algorithm
egg-herbie
Rules
1636×associate-/r*
1264×associate-/l*
1182×associate-*r*
1014×associate-+r+
900×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078710
1179650
2693650
33965650
Stop Event
node limit
Counts
44 → 43
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (log.f64 (*.f64 x x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 -1 (*.f64 x x))
(fma.f64 x x -1)
(*.f64 1 (fma.f64 x x -1))
(fma.f64 x x -1)
(*.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(fma.f64 x x -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(*.f64 (+.f64 x 1) (+.f64 x -1))
(fma.f64 x x -1)
(*.f64 (+.f64 x -1) (+.f64 x 1))
(fma.f64 x x -1)
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 (pow.f64 x 4) -1) (-.f64 (*.f64 x x) -1))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (*.f64 (*.f64 x x) -1))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(*.f64 (+.f64 -1 (pow.f64 x 4)) (/.f64 1 (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 4)) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 -1 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (-.f64 1 (pow.f64 x 6)) (-.f64 -1 (fma.f64 x x (pow.f64 x 4))))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (log.f64 (*.f64 x x)))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -1)

localize3.0ms (0.2%)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval9.0ms (0.6%)

Compiler

Compiled 392 to 272 computations (30.6% saved)

prune6.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40343
Fresh000
Picked101
Done011
Total41445
Error
0b
Counts
45 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(*.f64 (+.f64 x 1) (+.f64 x -1))
42.2b
(*.f64 x x)
21.0b
-1
Compiler

Compiled 20 to 14 computations (30% saved)

localize2.0ms (0.1%)

Compiler

Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiled 17 to 12 computations (29.4% saved)

series1.0ms (0.1%)

Counts
1 → 12
Calls

3 calls:

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

rewrite56.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
1754×add-sqr-sqrt
1738×*-un-lft-identity
1626×add-cube-cbrt
1606×add-cbrt-cube
170×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
11759
222949
Stop Event
node limit
Counts
1 → 44
Calls
Call 1
Inputs
(*.f64 (+.f64 x 1) (+.f64 x -1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))))) (#(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 x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 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 x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))))) (#(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 x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))))))

simplify48.0ms (3.1%)

Algorithm
egg-herbie
Rules
1572×fma-def
944×associate-/r*
710×associate-*r/
698×*-commutative
528×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01221096
14001004
22013964
Stop Event
node limit
Counts
56 → 63
Calls
Call 1
Inputs
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(+.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(+.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(-.f64 (*.f64 x x) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1))) 1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))
(fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))
Outputs
-1
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (*.f64 (+.f64 x -1) x))
(fma.f64 x x -1)
(+.f64 (+.f64 x -1) (*.f64 x (+.f64 x -1)))
(fma.f64 x x -1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(+.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)
(+.f64 (neg.f64 (+.f64 x 1)) (+.f64 x (*.f64 x x)))
(fma.f64 x x -1)
(+.f64 (*.f64 (+.f64 x -1) x) (+.f64 x -1))
(fma.f64 x x -1)
(+.f64 (*.f64 (+.f64 x (*.f64 x x)) 1) (*.f64 (neg.f64 (+.f64 x 1)) 1))
(fma.f64 x x -1)
(+.f64 (*.f64 x (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(-.f64 (*.f64 x x) 1)
(fma.f64 x x -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -1))) 1)
(fma.f64 x x -1)
(/.f64 (pow.f64 (fma.f64 x x -1) 2) (fma.f64 x x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 -1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 x -1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 (fma.f64 x x 1) x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x -1)) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 x -1)) (fma.f64 x x (-.f64 1 x)))
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 (fma.f64 x x 1) x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 x 1)) (+.f64 x 1))
(fma.f64 x x -1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x 1)) (fma.f64 x x (-.f64 1 (*.f64 x -1))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 -1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (-.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1)))) (-.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))
(fma.f64 x x -1)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))
(fma.f64 x x -1)
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (neg.f64 (+.f64 x 1)) 3)) (+.f64 (*.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 (neg.f64 (+.f64 x 1)) (neg.f64 (+.f64 x 1))) (*.f64 (+.f64 x (*.f64 x x)) (neg.f64 (+.f64 x 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3) (pow.f64 (+.f64 (neg.f64 x) -1) 3)) (fma.f64 (+.f64 x (*.f64 x x)) (+.f64 x (*.f64 x x)) (*.f64 (+.f64 (neg.f64 x) -1) (-.f64 (+.f64 (neg.f64 x) -1) (+.f64 x (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (neg.f64 (pow.f64 (-.f64 -1 x) 3))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) 3) (pow.f64 (-.f64 -1 x) 3)) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (pow.f64 (+.f64 x 1) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) 3) -1) (+.f64 (*.f64 x (pow.f64 x 3)) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 1 (fma.f64 x x (pow.f64 x 4))))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 -1 (pow.f64 x 3))) (*.f64 (+.f64 x -1) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 -1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 x 1)))
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 (fma.f64 x x 1) x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 -1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 x)) (fma.f64 x x (-.f64 1 (*.f64 x -1)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 (fma.f64 x x 1) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (fma.f64 x x -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 x 1) (fma.f64 x x (-.f64 1 x))))
(/.f64 (+.f64 -1 x) (/.f64 (fma.f64 x x (-.f64 1 x)) (+.f64 1 (pow.f64 x 3))))
(*.f64 (/.f64 (+.f64 -1 x) (-.f64 (fma.f64 x x 1) x)) (+.f64 1 (pow.f64 x 3)))
(*.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1)) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (+.f64 x -1)))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 -1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 (*.f64 -1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 (fma.f64 x x 1) x)) (+.f64 x 1))
(*.f64 (+.f64 x 1) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (-.f64 1 (*.f64 x -1))) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (*.f64 -1 x)))) (/.f64 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 x 3)) (*.f64 (+.f64 (fma.f64 x x 1) x) (-.f64 (fma.f64 x x 1) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (+.f64 x (fma.f64 x x 1)) (-.f64 (fma.f64 x x 1) x)))
(pow.f64 (fma.f64 x x -1) 1)
(fma.f64 x x -1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(fma.f64 x x -1)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(fma.f64 x x -1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(fma.f64 x x -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(fma.f64 x x -1)
(log.f64 (exp.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(fma.f64 x x -1)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (log1p.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 x (+.f64 x 1) (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)
(fma.f64 (+.f64 x 1) x (neg.f64 (+.f64 x 1)))
(fma.f64 x x -1)

eval17.0ms (1.1%)

Compiler

Compiled 902 to 560 computations (37.9% saved)

prune7.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done022
Total63467
Error
0b
Counts
67 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(*.f64 (+.f64 x 1) (+.f64 x -1))
42.2b
(*.f64 x x)
21.0b
-1
Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(*.f64 (+.f64 x 1) (+.f64 x -1))
42.2b
(*.f64 x x)
21.0b
-1
Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(-.f64 (*.f64 x x) 1)
0.0b
(*.f64 (+.f64 x 1) (+.f64 x -1))
42.2b
(*.f64 x x)
21.0b
-1
Compiler

Compiled 20 to 14 computations (30% saved)

regimes11.0ms (0.7%)

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

3 calls:

5.0ms
x
3.0ms
(*.f64 x x)
2.0ms
(-.f64 (*.f64 x x) 1)
Results
ErrorSegmentsBranch
0b1x
0b1(-.f64 (*.f64 x x) 1)
0b1(*.f64 x x)
Compiler

Compiled 33 to 19 computations (42.4% saved)

regimes10.0ms (0.6%)

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

3 calls:

4.0ms
x
3.0ms
(*.f64 x x)
2.0ms
(-.f64 (*.f64 x x) 1)
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(-.f64 (*.f64 x x) 1)
0.0b1(*.f64 x x)
Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes24.0ms (1.6%)

Accuracy

Total -62.1b remaining (-11543.3%)

Threshold costs -62.1b (-11543.3%)

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

2 calls:

19.0ms
x
4.0ms
(*.f64 x x)
Results
ErrorSegmentsBranch
0.5b3x
0.5b2(*.f64 x x)
Compiler

Compiled 11 to 6 computations (45.5% saved)

bsearch12.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
12.0ms
5.276967398285562e-6
27927067500.621273
Results
11.0ms160×body256valid
Compiler

Compiled 70 to 57 computations (18.6% saved)

simplify5.0ms (0.4%)

Algorithm
egg-herbie
Rules
sub-neg
1-exp
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
11946
22046
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 x x -1)
(-.f64 (*.f64 x x) 1)
(if (<=.f64 (*.f64 x x) 1) -1 (*.f64 x x))
-1
Outputs
(fma.f64 x x -1)
(-.f64 (*.f64 x x) 1)
(+.f64 (*.f64 x x) -1)
(+.f64 -1 (*.f64 x x))
(if (<=.f64 (*.f64 x x) 1) -1 (*.f64 x x))
-1
Compiler

Compiled 24 to 15 computations (37.5% saved)

soundness233.0ms (15.3%)

Algorithm
egg-herbie
Rules
1304×fma-neg
1022×+-commutative
962×*-commutative
716×distribute-neg-in
678×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1179
2219
3369
4789
51719
63379
77929
832609
948269
1061999
1171239
1274299
1375899
1476759
Stop Event
node limit
Compiler

Compiled 15 to 9 computations (40% saved)

end55.0ms (3.6%)

Compiler

Compiled 21 to 11 computations (47.6% saved)

Profiling

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