Details

Time bar (total: 2.8s)

analyze91.0ms (3.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
18.7%43.7%37.6%6
28.1%34.3%37.6%7
32.8%23.4%43.8%8
36.7%18.3%45%9
39.4%12.3%48.3%10
41.6%9.5%49%11
43%6.3%50.7%12
44.1%4.8%51%13
44.9%3.2%51.9%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample796.0ms (28.8%)

Results
764.0ms8252×body128valid
18.0ms213×body128invalid
1.0ms2×body1024valid
0.0ms1×body512valid
0.0ms1×body256valid
Compiler

Compiled 22 to 16 computations (27.3% saved)

preprocess30.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
262×fma-neg_binary64
254×fma-def_binary64
74×cancel-sign-sub-inv_binary64
60×sub-neg_binary64
40×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
12620
26520
313020
428520
559320
697720
7114520
8120520
9121720
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y)))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(+.f64 (-.f64 1 y) (*.f64 x (sqrt.f64 y)))
(fma.f64 x (sqrt.f64 y) (-.f64 1 y))
(-.f64 (fma.f64 x (sqrt.f64 y) 1) y)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify14.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
151×fma-def_binary64
131×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
36×sub-neg_binary64
30×unsub-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11610
23710
37210
415010
531210
650210
762610
870810
972210
Stop Event
1×saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
Outputs
(+.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.1b
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
Compiler

Compiled 35 to 22 computations (37.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
✓0.1b
(fma.f64 y (sqrt.f64 x) 1)

series6.0ms (0.2%)

Counts
2 → 28
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 y (sqrt.f64 x) 1)
1.0ms
x
@0
(fma.f64 y (sqrt.f64 x) 1)
1.0ms
y
@0
(fma.f64 y (sqrt.f64 x) 1)
1.0ms
x
@-inf
(fma.f64 y (sqrt.f64 x) 1)
1.0ms
y
@-inf
(fma.f64 y (sqrt.f64 x) 1)

rewrite41.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
743×pow1_binary64
690×log1p-expm1-u_binary64
690×expm1-log1p-u_binary64
74×add-sqr-sqrt_binary64
71×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114417
2184317
Stop Event
1×node limit
Counts
2 → 62
Calls
Call 1
Inputs
(fma.f64 y (sqrt.f64 x) 1)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) 1) (-.f64 (*.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))))

simplify24.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
189×fma-def_binary64
157×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
34×associate--r+_binary64
34×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013190
125190
236190
356190
492190
5151190
6287190
7441190
8612190
9750190
10842190
11848190
Stop Event
1×saturated
Counts
90 → 71
Calls
Call 1
Inputs
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(*.f64 y (sqrt.f64 x))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
Outputs
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(*.f64 y (sqrt.f64 x))
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 1 (*.f64 y (sqrt.f64 x)))
(fma.f64 y (sqrt.f64 x) 1)
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

prune63.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65671
Fresh000
Picked101
Done000
Total66672
Error
0.0b
Counts
72 → 6
Alt Table
StatusErrorProgram
22.9b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))
▶0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
14.9b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x)
0.5b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x)
22.9b
(/.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))
32.8b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))
Compiler

Compiled 1144 to 642 computations (43.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

series2.0ms (0.1%)

Counts
1 → 15
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.0ms
y
@0
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.0ms
x
@inf
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.0ms
x
@0
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.0ms
y
@inf
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

rewrite36.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
700×pow1_binary64
649×add-log-exp_binary64
649×log1p-expm1-u_binary64
649×expm1-log1p-u_binary64
72×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
114310
2172710
Stop Event
1×node limit
Counts
1 → 24
Calls
Call 1
Inputs
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) (pow.f64 (-.f64 1 x) 3)) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (pow.f64 (-.f64 1 x) 2)) (-.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))))

simplify21.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
189×fma-def_binary64
157×fma-neg_binary64
55×cancel-sign-sub-inv_binary64
34×associate--r+_binary64
34×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013113
125113
236113
356113
492113
5151113
6287113
7441113
8608113
9746113
10838113
11844113
Stop Event
1×saturated
Counts
39 → 31
Calls
Call 1
Inputs
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
Outputs
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

prune28.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New31031
Fresh055
Picked011
Done000
Total31637
Error
0.0b
Counts
37 → 6
Alt Table
StatusErrorProgram
22.9b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))
✓0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
14.9b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x)
▶0.5b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x)
22.9b
(/.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))
32.8b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))
Compiler

Compiled 540 to 317 computations (41.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x)
0.1b
(fma.f64 y (sqrt.f64 x) 1)
✓0.2b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))
✓0.3b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)

series30.0ms (1.1%)

Counts
3 → 25
Calls

18 calls:

TimeVariablePointExpression
12.0ms
y
@0
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)
5.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)
2.0ms
y
@inf
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)
1.0ms
x
@inf
(cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))

rewrite584.0ms (21.1%)

Algorithm
1×batch-egg-rewrite
Rules
847×log1p-expm1-u_binary64
847×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
88×add-cbrt-cube_binary64
88×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
121226
2234726
Stop Event
1×node limit
Counts
3 → 89
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3)
(cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (sqrt.f64 x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y (sqrt.f64 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) 3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 3) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6)) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) 3) 1) (+.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) (-.f64 1 (*.f64 (*.f64 y (sqrt.f64 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x))) 1) (-.f64 (*.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (sqrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 y (sqrt.f64 x) 1) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (sqrt.f64 x)) (+.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (fma.f64 y (sqrt.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2) (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (+.f64 x (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))) (neg.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 y (sqrt.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) 1))))))

simplify30.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
503×fma-neg_binary64
486×cancel-sign-sub-inv_binary64
449×fma-def_binary64
313×*-commutative_binary64
290×associate-*l*_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032209
189207
2219201
3639201
42255198
Stop Event
1×node limit
Counts
114 → 103
Calls
Call 1
Inputs
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
1
1
(+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) 1) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 5/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
1
(*.f64 -1 x)
(*.f64 -1 x)
Outputs
1
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
(+.f64 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (sqrt.f64 x) 1)
1
1
(+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) 1)
(fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 (*.f64 y (sqrt.f64 x)) 1/3 1)
(fma.f64 y (*.f64 (sqrt.f64 x) 1/3) 1)
(fma.f64 (sqrt.f64 x) (*.f64 y 1/3) 1)
(-.f64 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) 1) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1) (*.f64 -1/9 (*.f64 x (*.f64 y y))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) 1/3 1) (*.f64 (*.f64 -1/9 x) (*.f64 y y)))
(fma.f64 (*.f64 y (*.f64 y x)) -1/9 (fma.f64 y (*.f64 (sqrt.f64 x) 1/3) 1))
(fma.f64 y (*.f64 (sqrt.f64 x) 1/3) (fma.f64 y (*.f64 -1/9 (*.f64 y x)) 1))
(neg.f64 (fma.f64 y (fma.f64 y (*.f64 x 1/9) (*.f64 (sqrt.f64 x) -1/3)) -1))
(-.f64 (+.f64 (*.f64 1/3 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 5/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(+.f64 (+.f64 (fma.f64 1/3 (*.f64 y (sqrt.f64 x)) 1) (*.f64 5/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3))))) (*.f64 -1/9 (*.f64 x (*.f64 y y))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) 1/3 (fma.f64 5/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3))) 1)) (*.f64 (*.f64 -1/9 x) (*.f64 y y)))
(fma.f64 (*.f64 y (*.f64 y x)) -1/9 (fma.f64 y (*.f64 (sqrt.f64 x) 1/3) (fma.f64 5/81 (*.f64 (pow.f64 y 3) (pow.f64 x 3/2)) 1)))
(fma.f64 y (*.f64 (sqrt.f64 x) 1/3) (fma.f64 5/81 (*.f64 (pow.f64 y 3) (pow.f64 x 3/2)) (fma.f64 y (*.f64 -1/9 (*.f64 y x)) 1)))
(+.f64 1 (*.f64 y (+.f64 (*.f64 (sqrt.f64 x) 1/3) (*.f64 y (fma.f64 y (*.f64 5/81 (pow.f64 x 3/2)) (*.f64 x -1/9))))))
1
(-.f64 1 x)
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 (*.f64 y (sqrt.f64 x)) 1) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(*.f64 y (sqrt.f64 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
(-.f64 (+.f64 1 (*.f64 y (sqrt.f64 x))) x)
(-.f64 (fma.f64 y (sqrt.f64 x) 1) x)
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)

prune118.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1272129
Fresh044
Picked011
Done011
Total1278135
Error
0.0b
Counts
135 → 8
Alt Table
StatusErrorProgram
0.9b
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) 3) x)
✓0.5b
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 3) x)
22.9b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))
✓0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
14.9b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x)
▶0.6b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) x)
22.9b
(/.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))
32.8b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))
Compiler

Compiled 2182 to 1320 computations (39.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))
✓0.2b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)
✓0.3b
(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))
✓0.3b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)

series32.0ms (1.1%)

Counts
3 → 31
Calls

18 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)
4.0ms
y
@inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)
4.0ms
y
@-inf
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)
2.0ms
x
@0
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)

rewrite58.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
778×pow1_binary64
718×log1p-expm1-u_binary64
718×expm1-log1p-u_binary64
96×add-sqr-sqrt_binary64
91×*-un-lft-identity_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01137
121337
2216837
Stop Event
1×node limit
Counts
3 → 62
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)
(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6) (*.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (*.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 1/6) (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 1))))))

simplify41.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
522×fma-def_binary64
290×times-frac_binary64
286×associate-*r*_binary64
241×associate-*l*_binary64
215×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01161379
13781333
212321239
Stop Event
1×node limit
Counts
93 → 113
Calls
Call 1
Inputs
1
(+.f64 (*.f64 2/9 (*.f64 y (sqrt.f64 x))) 1)
(-.f64 (+.f64 (*.f64 2/9 (*.f64 y (sqrt.f64 x))) 1) (*.f64 7/81 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 112/2187 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 7/81 (*.f64 (pow.f64 y 2) x)))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2)
(+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2)) (*.f64 7/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 112/2187 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2))) (*.f64 7/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) 2) (*.f64 (pow.f64 y 2) x))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2)
(+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2))
(-.f64 (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2)) (*.f64 7/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (*.f64 112/2187 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (+.f64 (*.f64 2/9 (*.f64 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) y) (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2))) (*.f64 7/81 (/.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) 2) (*.f64 (pow.f64 y 2) x))))
1
1
(+.f64 (*.f64 1/9 (*.f64 y (sqrt.f64 x))) 1)
(-.f64 (+.f64 (*.f64 1/9 (*.f64 y (sqrt.f64 x))) 1) (*.f64 4/81 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 68/2187 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 4/81 (*.f64 (pow.f64 y 2) x)))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y)))))
(+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y)))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 68/2187 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 y))))) (*.f64 (pow.f64 y 2) x))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))
(+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 (pow.f64 y 2) x))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 68/2187 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 (pow.f64 y 2) x))))
1
1
(+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) 1)
(-.f64 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) 1) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 4/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
1
Outputs
1
(+.f64 (*.f64 2/9 (*.f64 y (sqrt.f64 x))) 1)
(fma.f64 2/9 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 y (*.f64 2/9 (sqrt.f64 x)) 1)
(-.f64 (+.f64 (*.f64 2/9 (*.f64 y (sqrt.f64 x))) 1) (*.f64 7/81 (*.f64 (pow.f64 y 2) x)))
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(+.f64 (fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))) y)) (fma.f64 68/2187 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))) (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))))) (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log.f64 y)))) (*.f64 x (*.f64 y y)))))
(fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) y)) (-.f64 (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) (/.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y)))) (*.f64 (/.f64 4/81 x) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) (*.f64 y (*.f64 y x))) -4/81 (fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) y)) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))) (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 y))))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))
(+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))
(fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) y)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))
(fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 (pow.f64 y 2) x))))
(+.f64 (fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) y)) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 x (*.f64 y y)))))
(+.f64 (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 y (*.f64 y x))) -4/81))
(fma.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 y (*.f64 y x))) -4/81 (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (sqrt.f64 (/.f64 1 x)))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))
(-.f64 (+.f64 (*.f64 1/9 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) y) (sqrt.f64 (/.f64 1 x)))) (+.f64 (*.f64 68/2187 (*.f64 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (pow.f64 y 3)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))))) (*.f64 4/81 (/.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y))))) (*.f64 (pow.f64 y 2) x))))
(+.f64 (fma.f64 1/9 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) y)) (fma.f64 68/2187 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))) (*.f64 -4/81 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 x (*.f64 y y)))))
(+.f64 (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (sqrt.f64 (/.f64 1 x)))) (fma.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))) (*.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 y (*.f64 y x))) -4/81))
(fma.f64 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (*.f64 y (*.f64 y x))) -4/81 (fma.f64 1/9 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (/.f64 y (sqrt.f64 (/.f64 1 x)))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (*.f64 68/2187 (/.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))) (pow.f64 y 3))) (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (sqrt.f64 x))) (log.f64 (/.f64 -1 y)))))))
1
1
(+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) 1)
(fma.f64 2/3 (*.f64 y (sqrt.f64 x)) 1)
(fma.f64 (*.f64 y 2/3) (sqrt.f64 x) 1)
(fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1)
(-.f64 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) 1) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(+.f64 (fma.f64 2/3 (*.f64 y (sqrt.f64 x)) 1) (*.f64 -1/9 (*.f64 x (*.f64 y y))))
(+.f64 (fma.f64 (*.f64 y 2/3) (sqrt.f64 x) 1) (*.f64 (*.f64 y (*.f64 y x)) -1/9))
(fma.f64 (*.f64 x -1/9) (*.f64 y y) (fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1))
(-.f64 (+.f64 (*.f64 2/3 (*.f64 y (sqrt.f64 x))) (+.f64 1 (*.f64 4/81 (*.f64 (pow.f64 y 3) (sqrt.f64 (pow.f64 x 3)))))) (*.f64 1/9 (*.f64 (pow.f64 y 2) x)))
(+.f64 (+.f64 (fma.f64 2/3 (*.f64 y (sqrt.f64 x)) 1) (*.f64 (*.f64 4/81 (pow.f64 y 3)) (sqrt.f64 (pow.f64 x 3)))) (*.f64 -1/9 (*.f64 x (*.f64 y y))))
(+.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) 2/3 (fma.f64 (*.f64 (pow.f64 y 3) (fabs.f64 (pow.f64 x 3/2))) 4/81 1)) (*.f64 (*.f64 y (*.f64 y x)) -1/9))
(fma.f64 (*.f64 y (*.f64 y x)) -1/9 (fma.f64 (pow.f64 y 3) (*.f64 (pow.f64 x 3/2) 4/81) (fma.f64 (sqrt.f64 x) (*.f64 y 2/3) 1)))
1

prune429.0ms (15.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2412243
Fresh055
Picked011
Done112
Total2429251
Error
0.0b
Counts
251 → 9
Alt Table
StatusErrorProgram
0.7b
(-.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) x)
22.9b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))
✓0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.5b
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) x)
14.9b
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2) x)
0.9b
(-.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2)) 3) x)
✓0.6b
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1))) (pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) 1)) 2))) x)
22.9b
(/.f64 1 (/.f64 (+.f64 x (fma.f64 y (sqrt.f64 x) 1)) (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x x))))
32.8b
(*.f64 (-.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 y (sqrt.f64 x) 1) 2) (*.f64 x (+.f64 x (fma.f64 y (sqrt.f64 x) 1))))))
Compiler

Compiled 9887 to 6483 computations (34.4% saved)

regimes90.0ms (3.3%)

Accuracy

Total 0.0b remaining (51.8%)

Threshold costs 0.0b (51.8%)

Counts
42 → 1
Compiler

Compiled 569 to 320 computations (43.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21510
31710
41810
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Outputs
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

end170.0ms (6.1%)

Stop Event
1×fuel
Compiler

Compiled 243 to 168 computations (30.9% saved)

Profiling

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