Details

Time bar (total: 1.1s)

analyze3.0ms (0.3%)

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
75%75%25%0%0%0%0%4
85.7%75%12.5%0%12.5%0%0%5
92.3%75%6.2%0%18.7%0%0%6
96%75%3.1%0%21.9%0%0%7
98%75%1.6%0%23.4%0%0%8
99%75%0.8%0%24.2%0%0%9
99.5%75%0.4%0%24.6%0%0%10
99.7%75%0.2%0%24.8%0%0%11
99.9%75%0.1%0%24.9%0%0%12
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample625.0ms (59%)

Results
615.0ms8256×body256valid
1.0msbody256infinite
Bogosity

preprocess27.0ms (2.6%)

Algorithm
egg-herbie
Rules
210×fma-def_binary64
78×fma-neg_binary64
28×distribute-rgt-in_binary64
21×sub-neg_binary64
19×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11610
2348
3708
41438
52058
62838
73788
85908
96108
106408
011
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(*.f64 x (+.f64 1 (*.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (1.7%)

Algorithm
egg-herbie
Rules
210×fma-def_binary64
78×fma-neg_binary64
28×distribute-rgt-in_binary64
21×sub-neg_binary64
19×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11610
2348
3708
41438
52058
62838
73788
85908
96108
106408
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(*.f64 x (+.f64 1 (*.f64 x -1/2)))
(*.f64 x (fma.f64 x -1/2 1))

eval1.0ms (0.1%)

Compiler

Compiled 21 to 15 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New213
Fresh011
Picked000
Done000
Total224
Error
0.0b
Counts
4 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.7%)

Local error

Found 1 expressions with local error:

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

Compiled 19 to 14 computations (26.3% saved)

series4.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 114 to 93 computations (18.4% saved)

rewrite42.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
713×pow1_binary64
664×add-log-exp_binary64
664×log1p-expm1-u_binary64
664×expm1-log1p-u_binary64
653×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114710
2179110
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 (*.f64 x x) 1/4))) (+.f64 1 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))))))

simplify44.0ms (4.1%)

Algorithm
egg-herbie
Rules
866×fma-def_binary64
820×times-frac_binary64
393×*-commutative_binary64
333×associate-*l*_binary64
282×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074320
1175312
2533288
32679278
46389278
Stop Event
node limit
Counts
31 → 37
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(-.f64 (+.f64 1 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 1)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 1 (*.f64 x 1/2)))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (*.f64 x x) 1/4))) (+.f64 1 (*.f64 x 1/2)))
(pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 1)
(pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 2))
(log.f64 (exp.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(+.f64 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(-.f64 (+.f64 1 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 x 3) 1/8)) x) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 x 1/2 (*.f64 (*.f64 x x) 1/4))) (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x 1/4)))) (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 x (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (*.f64 x x) 1/4)) x) (+.f64 1 (*.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x 1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))) (+.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 (*.f64 x x) 1/4))))
(/.f64 x (/.f64 (+.f64 1 (fma.f64 x 1/2 (*.f64 (*.f64 x x) 1/4))) (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x (+.f64 1/2 (*.f64 x 1/4)))) (-.f64 1 (*.f64 (pow.f64 x 3) 1/8))))
(*.f64 (fma.f64 (pow.f64 x 3) -1/8 1) (/.f64 x (fma.f64 x (fma.f64 x 1/4 1/2) 1)))
(/.f64 (fma.f64 -1/8 (pow.f64 x 4) x) (fma.f64 x (fma.f64 x 1/4 1/2) 1))
(/.f64 (*.f64 x (-.f64 1 (*.f64 (*.f64 x x) 1/4))) (+.f64 1 (*.f64 x 1/2)))
(/.f64 x (/.f64 (+.f64 1 (*.f64 x 1/2)) (-.f64 1 (*.f64 (*.f64 x x) 1/4))))
(*.f64 (/.f64 x (fma.f64 x 1/2 1)) (-.f64 1 (*.f64 x (*.f64 x 1/4))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/4)) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 (pow.f64 x 3) -1/4 x) (fma.f64 x 1/2 1))
(pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))) 2)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 2))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(log.f64 (exp.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x)) 3))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (*.f64 x -1/2)) 3) (pow.f64 x 3)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (*.f64 x -1/2) x))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(exp.f64 (+.f64 (log1p.f64 (*.f64 x -1/2)) (log.f64 x)))
(*.f64 x (exp.f64 (log1p.f64 (*.f64 x -1/2))))

eval9.0ms (0.8%)

Compiler

Compiled 402 to 287 computations (28.6% saved)

prune7.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New34337
Fresh000
Picked011
Done000
Total34438
Error
0b
Counts
38 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 (*.f64 x -1/2) x))
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
42.5b
(*.f64 x (*.f64 x -1/2))
21.1b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

localize4.0ms (0.4%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.8%)

Local error

Found 1 expressions with local error:

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

Compiled 18 to 11 computations (38.9% saved)

series3.0ms (0.3%)

Counts
1 → 12
Calls

3 calls:

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

Compiled 114 to 93 computations (18.4% saved)

rewrite41.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
717×pow1_binary64
671×add-log-exp_binary64
670×log1p-expm1-u_binary64
670×expm1-log1p-u_binary64
658×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0610
11348
218288
Stop Event
node limit
Counts
1 → 40
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 x -1/2) x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (fma.f64 x -1/2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x -1/2 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 x (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x -1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/2) x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))))))

simplify94.0ms (8.9%)

Algorithm
egg-herbie
Rules
639×fma-neg_binary64
524×cancel-sign-sub-inv_binary64
519×div-sub_binary64
309×fma-def_binary64
246×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106593
1264573
2880537
34215522
Stop Event
node limit
Counts
52 → 52
Calls
Call 1
Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 x (fma.f64 x -1/2 1))
(*.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(*.f64 (fma.f64 x -1/2 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x -1/2))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 x (*.f64 x (*.f64 x -1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2))
(*.f64 -1/2 (pow.f64 (/.f64 1 x) -2))
(*.f64 x (*.f64 x -1/2))
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(+.f64 (*.f64 -1/2 (pow.f64 (/.f64 -1 x) -2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x -1/2) x)) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x -1/2)))) (/.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 -1/2 (*.f64 x x) x)
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 1 (fma.f64 x (*.f64 x -1/2) x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2) (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (/.f64 1 (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (fma.f64 x -1/2 1) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) 1) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(*.f64 (*.f64 (fma.f64 x -1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))) (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 1 (/.f64 (-.f64 x (*.f64 x (*.f64 x -1/2))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x -1/2))))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2)) (-.f64 x (*.f64 x (*.f64 x -1/2))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 x (*.f64 x -1/2)) 3))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (*.f64 x -1/2)) (-.f64 (*.f64 x (*.f64 x -1/2)) x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (*.f64 -1/2 (*.f64 x x)) 3)) 1) (fma.f64 x x (*.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) (*.f64 x (+.f64 x (*.f64 (*.f64 x -1/2) (-.f64 (*.f64 -1/2 (*.f64 x x)) x)))))
(/.f64 (fma.f64 -1/8 (pow.f64 (*.f64 x x) 3) (pow.f64 x 3)) (fma.f64 x x (fma.f64 1/4 (pow.f64 x 4) (*.f64 (pow.f64 x 3) 1/2))))
(/.f64 (fma.f64 -1/8 (pow.f64 x 6) (pow.f64 x 3)) (fma.f64 x x (*.f64 (*.f64 -1/2 (pow.f64 x 3)) (fma.f64 x -1/2 -1))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x (*.f64 x -1/2)) 2))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x -1/2)))))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(/.f64 (-.f64 (pow.f64 (*.f64 x (*.f64 x -1/2)) 2) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x -1/2)) x))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (fma.f64 x (*.f64 x -1/2) x) 1)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3) 1/3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 3)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x -1/2) x)) 2)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 2))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x -1/2) x) 3))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x -1/2) x)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 (*.f64 x -1/2) x x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 1 x (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 1 (*.f64 x (*.f64 x -1/2)) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 2) (cbrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 x -1/2))) (sqrt.f64 (*.f64 x (*.f64 x -1/2))) x)
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x (*.f64 x -1/2)))
(fma.f64 -1/2 (*.f64 x x) x)
(*.f64 x (fma.f64 x -1/2 1))
(fma.f64 x (*.f64 x -1/2) x)

eval15.0ms (1.4%)

Compiler

Compiled 715 to 457 computations (36.1% saved)

prune8.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh011
Picked011
Done022
Total52456
Error
0b
Counts
56 → 4
Alt Table
Click to see full alt table
StatusErrorProgram
0.0b
(+.f64 x (*.f64 (*.f64 x -1/2) x))
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
42.5b
(*.f64 x (*.f64 x -1/2))
21.1b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

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 x (*.f64 (*.f64 x -1/2) x))
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
42.5b
(*.f64 x (*.f64 x -1/2))
21.1b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

eval0.0ms (0%)

Compiler

Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

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 x (*.f64 (*.f64 x -1/2) x))
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
42.5b
(*.f64 x (*.f64 x -1/2))
21.1b
x
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes34.0ms (3.2%)

Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 x -1/2))
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(+.f64 x (*.f64 (*.f64 x -1/2) x))
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Calls

2 calls:

29.0ms
x
4.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Results
ErrorSegmentsBranch
0.0b1x
0.0b1(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes9.0ms (0.9%)

Accuracy

Total -57.8b remaining (-2036.1%)

Threshold costs -57.8b (-2036.1%)

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

1 calls:

8.0ms
x
Results
ErrorSegmentsBranch
2.8b3x
Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch25.0ms (2.3%)

Algorithm
binary-search
Steps
TimeLeftRight
13.0ms
0.0029421815227809534
7.5893602122525
11.0ms
-3640.325933075684
-0.384502771213187
Results
21.0ms256×body256valid
Compiler

Compiled 172 to 121 computations (29.7% saved)

simplify4.0ms (0.4%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
12838
23738
34538
45338
55538
65638
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (*.f64 x (*.f64 x -1/2)) (if (<=.f64 x 2) x (*.f64 x (*.f64 x -1/2))))
x
Outputs
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
(*.f64 x (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -2) (*.f64 x (*.f64 x -1/2)) (if (<=.f64 x 2) x (*.f64 x (*.f64 x -1/2))))
x
Compiler

Compiled 30 to 20 computations (33.3% saved)

soundness0.0ms (0%)

end24.0ms (2.3%)

Compiler

Compiled 28 to 18 computations (35.7% saved)

Profiling

Loading profile data...